Calculus

Solution to limit involving sine and cosine

Solution to limit involving sine and cosine

\(\lim _{x\rightarrow 0}\frac{\sin \left(9x\right)}{\tan \left(8x\right)}\)

Answer:

bio_man   12   N/A

5 / 5

bio_man

Find the derivative of x^2 + 1/x using delta method

Find the derivative of x^2 + 1/x using delta method

given f(x)= square root of x-1 over x, find f'(x) using delta method

Divine   31   1 Reply

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bio_man

Question about Delta Method (Question 2)

Question about Delta Method (Question 2)

Why -3(xdeltax)^2+1  becomes - 3(xdeltax)^2-3?  . Did you multiply  the front  -3 right? Then why it  doesnt dissapear?

Answer:

[math=inline]-3\left[\left(x+\Delta x\right)^2+1\right][/mat

bio_man   28   N/A

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bio_man

Find the DERIVATIVES using DELTA METHOD for a QUADRATIC

Find the DERIVATIVES using DELTA METHOD for a QUADRATIC

y=x^2 + 3x - 2/3
 differentiation using the delta method

Matic   30   2 Replies

bio_man

What is the derivative of 1/√x using the delta method

What is the derivative of 1/√x using the delta method

derivatives of algebraic functions

noob   31   1 Reply

bio_man

Find the DERIVATIVES using DELTA METHOD

Find the DERIVATIVES using DELTA METHOD

What is the derivative of 1/√x using delta method. I dont know how to arrive at the answer -1/2√x^3 using the delta method

noob101   45   1 Reply

bio_man

A bank features a savings account that has an annual percentage rate of r = 2.7 r=2.7 % with intere

A bank features a savings account that has an annual percentage rate of r = 2.7 r=2.7 % with intere

A bank features a savings account that has an annual percentage rate of r = 2.7% with interest compounded Caitlyn deposits $ 12,000 into the account.

The account balance can be modeled by the exponential formula A(t)

where A i

Catracho   52   4 Replies

bio_man

Given the given cost function C ( x ) = 6950 + 780 x + 1 x 2 C(x)=6950+780x+1x2 and the demand func

Given the given cost function C ( x ) = 6950 + 780 x + 1 x 2 C(x)=6950+780x+1x2 and the demand func

Given the given cost function
C(x) = 6950+ 780x + 1x2 and the demand function p(x) = 2340

Find the production level that will maximize profit.

Catracho   28   1 Reply

bio_man

A town's population has been growing linearly. In 2003 the population was 60,000. The population ...

A town's population has been growing linearly. In 2003 the population was 60,000. The population ...

A town's population has been growing linearly. In 2003 the population was 60,000. The population has been growing by 2700 people each year.

Write an equation for the population, P,
x
x
years after 2003.

Catracho   25   1 Reply

bio_man

Consider the function f ( x ) = 3 − 6 x 2 , − 5 ≤ x ≤ 1 f(x)=3-6x2, -5≤x≤1 . The ...

Consider the function f ( x ) = 3 − 6 x 2 , − 5 ≤ x ≤ 1 f(x)=3-6x2, -5≤x≤1 . The ...

Consider the function f(x) = 3 — 6x^2,

The absolute maximum value is

and this occurs at x

The absolute minimum value is

and this occurs at x

Catracho   35   3 Replies

bio_man

Suppose you deposit $6000 at 5% interest compounded continously. Find the average value of your acco

Suppose you deposit $6000 at 5% interest compounded continously. Find the average value of your acco

Suppose you deposit $6000 at 5% interest compounded continously. Find the average value of your account during the first 4 years.

Catracho   25   1 Reply

bio_man

Let f ( x ) = ln ( x 2 − 12 x + 45 ) f(x)=ln(x2-12x+45) f ' ( x ) f′(x) =

Let f ( x ) = ln ( x 2 − 12 x + 45 ) f(x)=ln(x2-12x+45) f ' ( x ) f′(x) =

Let
f
(
x
)
=
ln
(
x
2
−
12
x
+
45
)
f(x)=ln(x2-12x+45)


f
'
(
x
)
f′(x)
=

Catracho   24   1 Reply

bio_man

If f ( x ) = 2 x 4 − 5 e x f(x)=2x4-5ex , find: f ' ( x ) f′(x) = f ' ( 2 ) f′(2) = ...

If f ( x ) = 2 x 4 − 5 e x f(x)=2x4-5ex , find: f ' ( x ) f′(x) = f ' ( 2 ) f′(2) = ...

If
f
(
x
)
=
2
x
4
−
5
e
x
f(x)=2x4-5ex
, find:

f
'
(
x
)
f′(x)
=     
f
'
(
2
)
f′(2)

Catracho   25   1 Reply

bio_man

If f ( x ) = 5 + 2 x − 3 x 2 f(x)=5+2x-3x2 , find f ' ( 0 ) f′(0) .

If f ( x ) = 5 + 2 x − 3 x 2 f(x)=5+2x-3x2 , find f ' ( 0 ) f′(0) .

\(f(x)=5+2x-3x^2\), Find f'(0)

Catracho   34   1 Reply

bio_man

The following chart shows "living wage" jobs in Rochester per 1000 working age adults ...

The following chart shows "living wage" jobs in Rochester per 1000 working age adults ...

The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period.
Year
1997
1998
1999
2000
2001
Jobs
655
695
725
745
755

Catracho   26   1 Reply

bio_man

Use the product rule to find the derivative of ( − 5 x 5 + 6 x 8 ) ( 6 e x − 3 ) ...

Use the product rule to find the derivative of ( − 5 x 5 + 6 x 8 ) ( 6 e x − 3 ) ...

Use the product rule to find the derivative of

(-5x^5+6x^8)(6e^x - 3)

You do not need to expand out your answer.

Catracho   24   1 Reply

bio_man

Estimate the instantaneous rate of change at x = 2 x=2

Estimate the instantaneous rate of change at x = 2 x=2

Estimate the instantaneous rate of change at
x
=
2
x=2

Catracho   24   1 Reply

bio_man

A car rental company offers two plans for renting a car: Plan A: 30 dollars per day and 19 cents pe

A car rental company offers two plans for renting a car: Plan A: 30 dollars per day and 19 cents pe

A car rental company offers two plans for renting a car:
Plan A: 30 dollars per day and 19 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

For what range of miles will plan B save you money?

Catracho   29   1 Reply

bio_man

Suppose that the position of a particle is given by s = f ( t ) = 2 t 3 + 6 t + 9 s=f(t)=2t3+6t+9 .

Suppose that the position of a particle is given by s = f ( t ) = 2 t 3 + 6 t + 9 s=f(t)=2t3+6t+9 .

Suppose that the position of a particle is given by  s = f ( t ) = 2t^3 + 6t + 9

(a) Find the velocity at time t.

(b) Find the velocity at time t = 3 seconds.

(c) Find the acceleration at time t.

Catracho   31   1 Reply

bio_man

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 600 t − 120 t 2 ...

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 600 t − 120 t 2 ...

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 600 t − 120 t^2, where t is in hours: and t=0 is 6am. How many cars pass through the intersection between 6 am and 11 am?

Catracho   33   1 Reply

bio_man

A company's marginal cost function is 11 √ x 11x where x is the number of units. Find the total ...

A company's marginal cost function is 11 √ x 11x where x is the number of units. Find the total ...

A company's marginal cost function is \(\frac{11}{\sqrt{x}}\) where x is the number of units.

Find the total cost of the first 64 units (from x=0 to x=64)

Catracho   34   1 Reply

bio_man

Find the slope of the line that goes through the points (15,0) and (14,-12).

Find the slope of the line that goes through the points (15,0) and (14,-12).

Find the slope of the line that goes through the points (15,0) and (14,-12).

Catracho   19   1 Reply

bio_man

Hi I have upload calculus questions

Hi I have upload calculus questions

can you help me solve calculus problems is urgent

Catracho   37   1 Reply

bio_man

Topic is related rates

Topic is related rates

 Q1)a ship moving 30km/hr is 6km from a straight beach and is moving parallel to the beach. How fast is the ship approaching a light house on the beach when 10km (straight line distance) from it?

Q2) A rope runs over a bully at A and is at

Mathus   75   6 Replies

bio_man

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 300 + 1000 t − 90 t 2 ...

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 300 + 1000 t − 90 t 2 ...

The traffic flow rate (cars per hour) across an intersection is
r(t) = 300 + 1000t — 90t2, where t is in hours, and t=0 is 6am. How many
cars pass through the intersection between 6 am and 8 am?

Catracho   48   1 Reply

bio_man

Let A(x) = ∫ f(t) dt, with f(x) shown in the graph below.

Let A(x) = ∫ f(t) dt, with f(x) shown in the graph below.

Let A(x) = ∫ f(t) dt, with f(x) shown in the graph below.

At what x values does A(x) have a local max: x
At what x values does A(x) have a local min: x

Restrict your answers to values 0 < x < 6

Catracho   38   1 Reply

5 / 5

bio_man

Liquid leaked from a damaged tank at a rate of r ( t ) r(t) liters per hour. The rate decreased as

Liquid leaked from a damaged tank at a rate of r ( t ) r(t) liters per hour. The rate decreased as

Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate
decreased as time passed and values of the rate at three-hour time intervals are
shown in the table.

Find lower and upper estimates for the total am

Catracho   47   1 Reply

bio_man

Given: (x is number of items) Demand function: d ( x ) = 200 − 0.2 x d(x)=200-0.2x Supply ...

Given: (x is number of items) Demand function: d ( x ) = 200 − 0.2 x d(x)=200-0.2x Supply ...

Given: (x is number of items)

Demand function: d(x)=200-0.2x
Supply function: s(x) = 0.6x

Find the equilibrium quantity:

Find the consumers surplus at the equilibrium quantity:


Fin

Catracho   67   2 Replies

5 / 5

bio_man

Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table.

Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table.

Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table.

Estimate the distance traveled by the vehicle during this 70-second period using the velocities at the beginning of the time intervals.

Catracho   51   2 Replies

bio_man

Liquid leaked from a damaged tank at a rate of r ( t ) r(t) liters per hour. The rate decreased as

Liquid leaked from a damaged tank at a rate of r ( t ) r(t) liters per hour. The rate decreased as

Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table.

Find lower and upper estimates for the total amount of liquid

Catracho   56   1 Reply

bio_man

Suppose F ( t ) has the derivative f ( t ) shown below, and F ( 0 ) = 1 . Find the values of F

Suppose F ( t ) has the derivative f ( t ) shown below, and F ( 0 ) = 1 . Find the values of F

Suppose F(t) has the derivative f(t) shown below, and F(O) = 1. Find values for F(1) and F(7)


Let A(x) with f(x) shown in the graph below.

At what x values does A(x) have a local max

At what x values

Catracho   32   2 Replies

bio_man

Find the integral for ∫ 6e^x

Find the integral for ∫ 6e^x

Find ∫ 6e^x dx

Catracho   34   1 Reply

bio_man

Find the integral of ∫(7x4+6x5)dx

Find the integral of ∫(7x4+6x5)dx

Find ∫(7x4+6x5)dx

Catracho   36   1 Reply

bio_man

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 900 t − 90 t 2 ...

The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 900 t − 90 t 2 ...

Q.   The traffic flow rate (cars per hour) across an intersection is r ( t ) = 400 + 900 t − 90 t 2, where t is in hours, and t = 0 is 6am. How many cars pass through the intersection between 6 am and 9 am?

Q.   A company&#

Catracho   32   1 Reply

bio_man

Evaluate the integral ∫ x 2 ( x 3 − 7 ) 11 d x ∫x2(x3-7)11dx by making the substitution u = ...

Evaluate the integral ∫ x 2 ( x 3 − 7 ) 11 d x ∫x2(x3-7)11dx by making the substitution u = ...

Evaluate the integral
∫x2(x3-7)11dx
by making the substitution u = x^3 — 7.

NOTE: Your answer should be in terms of and not u.

Catracho   37   1 Reply

bio_man

Suppose you deposit $5000 at 7% interest compounded continously. Find the average value of your acco

Suppose you deposit $5000 at 7% interest compounded continously. Find the average value of your acco

Suppose you deposit $5000 at 7% interest compounded continously. Find the average value of your account during the first 2 years.

Catracho   36   1 Reply

bio_man

Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and t

Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and t

Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and then sell it to customers in their store. The function C(x) = 1x + 24500x^1 + 12250 models their total inventory costs (in dollars) as a function of x

Catracho   57   2 Replies

duddy

I have posted several question i need help SAP

I have posted several question i need help SAP

Hi i need urgent help







A car wash reduced the price of a basic wash as a promotion and test of the market. With the price at $9 the average monthly sales has been 29000. When the price dropped to $7, the

Catracho   72   3 Replies

5 / 5

bio_man

A car wash reduced the price of a basic wash as a promotion and test of the market. With the price a

A car wash reduced the price of a basic wash as a promotion and test of the market. With the price a

A car wash reduced the price of a basic wash as a promotion and test of the market. With the price at $11 the average monthly sales has been 30000. When the price dropped to $10, the average monthly sales rose to 35000. Assume that monthly sales is l

Catracho   52   1 Reply

bio_man

The function f ( x ) = 2 x 3 − 27 x 2 + 108 x − 8 f(x)=2x3-27x2+108x-8 has two critical ...

The function f ( x ) = 2 x 3 − 27 x 2 + 108 x − 8 f(x)=2x3-27x2+108x-8 has two critical ...

The function f(x)=2x3-27x2+108x-8 has two critical ...
The smaller one is x
and the larger one is x

Catracho   52   1 Reply

bio_man