Calculus

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   1452   8 Replies

khurram ali

Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z

Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z

I need just the last step to this question which is putting all of the factored terms together and canceling everything out.
It took a while to factor each term so here are the answers for each of them so that it's a lot easier.

slimes   953   12 Replies

bio_man

A container in the shape of a right circular cylinder with no top has surface area square feet.

A container in the shape of a right circular cylinder with no top has surface area square feet.

What height and base radius will maximize the volume of the cylinder?

Acer Matthew Asistio   801   5 Replies

bio_man

Derivative by Delta Method - f(x) = x times square root of (x+1)

Derivative by Delta Method - f(x) = x times square root of (x+1)

the derivative of f(x) = x times square root of (x+1) using delta method. I'm really sorry I cannot find the radical sign in my android device.

Solution:

[url=https://biology-forums.com/index.php?action=ga

bio_man   800   N/A

bio_man

A 25-kg mass is attached to a spring that hangs vertically and is stretched 1 m from the equilibrium ...

A 25-kg mass is attached to a spring that hangs vertically and is stretched 1 m from the equilibrium ...

[html]A 25-kg mass is attached to a spring that hangs vertically and is stretched 1 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to stretch the spring and lower the mass 1.5 m? Round

sxllykxm   676   5 Replies

award6

A window is in the form of a rectangle surmounted by a semicircle. The rectangle ...

A window is in the form of a rectangle surmounted by a semicircle. The rectangle ...

[html]Solve the problem.


A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-th

victor.m.rojas2   646   10 Replies

Tye Chu

At about what velocity do you enter the water if you jump from a 15 metre cliff? ...

At about what velocity do you enter the water if you jump from a 15 metre cliff? ...

[html]Solve the problem.


At about what velocity do you enter the water if you jump from a 15 metre cliff? (Use g = 9.8 m/sec2.)

▸ -17 m/sec

▸ 17 m/sec

▸ -8.5 m/sec

▸ 2 m/sec[/htm

seeb1999   610   2 Replies

seeb1999

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   574   6 Replies

Abinash

Finding derivatives of Trig Functions - pt 4

Finding derivatives of Trig Functions - pt 4

1. I was given a very similar to question 1. from the topic (finding derivatives of trig functions - pt 2). The derivative for both 4sin^2x and 5cos^2x are correct, but as I multiplied them together, the answer was wrong, the real answer from a works

123

slimes   534   30 Replies

slimes

Find the optimum number of batches (to the nearest whole number) of an item that ...

Find the optimum number of batches (to the nearest whole number) of an item that ...

[html]Solve the problem.


Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 280,000 units are to be made

tlc_71111   528   1 Reply

Kaajalp

Finding derivatives of Trig Functions - pt 2

Finding derivatives of Trig Functions - pt 2

1. Would that be the correct answer?
2. I would like some help with, thank you.

12

slimes   528   21 Replies

slimes

One rope pulls a barge directly east with a force of 57 N, and another rope pulls ...

One rope pulls a barge directly east with a force of 57 N, and another rope pulls ...

[html]Solve the problem.


One rope pulls a barge directly east with a force of 57 N, and another rope pulls the barge directly north with a force of 89 N. Find the magnitude of the resultant for

dwilliams11   497   4 Replies

Christina Cacoulidis

Solve the problem.A spherical water tank with an inner radius of 4 m has its lowest point 3 m above ...

Solve the problem.A spherical water tank with an inner radius of 4 m has its lowest point 3 m above ...

[html]Solve the problem.

A spherical water tank with an inner radius of 4 m has its lowest point 3 m above the ground. It is filled by a pipe that feeds the tank at its lowest point (see figure). Neg

petergreeker   455   3 Replies

Josh White

Chain rule help

Chain rule help

\(y=\sqrt{u^2-1}\)
\(u=4\sqrt{x}\)

Put u into x

\(y=\sqrt{\left(4\sqrt{x}\right)^2-1}\)

Simplify:

\(y=\sqrt{16x-1}\)

bio_man   439   N/A

bio_man

Find the derivative of x⋅siny+y⋅cosx=0

Find the derivative of x⋅siny+y⋅cosx=0

\(x\cdot \sin y+y\cdot \cos x=0\)

Rewrite with brackets for organization purposes:

\(\left(x\cdot \sin y\right)+\left(y\cdot \cos x\right)=0\)

Product rule twice, also differe

bio_man   425   1 Reply

duddy

Computing Limits Problems

Computing Limits Problems

Hello I need some assistance on the limit problems, I was confused with the ones that involved square root functions. Thanks to anyone who could possibly help me with these.
6. lim    lim (6+h)^2-36/h
h -> 0

7. lim&

12

slimes   416   17 Replies

slimes

Finding the derivative of inverse tangent

Finding the derivative of inverse tangent

From the image, your function is: \(y=\frac{1}{4}\tan ^{-1}\left(\frac{4\sin x}{3+5\cos x}\right)\)

Start by multiplying both sides by \(4\):

[math=inline]4y=\tan ^{-1}\left(\frac{4\sin x}{

bio_man   411   1 Reply

duddy

Integrating an exponential function

Integrating an exponential function

How to integrate this one ?
(e^x)-1/(e^x)+1

Deckz   401   5 Replies

bio_man

Find the equation of the normal line to f(x)=sinx+cosx at x = π.

Find the equation of the normal line to f(x)=sinx+cosx at x = π.

Find the equation of the normal line to f(x)=sinx+cosx at x = π.
My answer was y= x + (-1-π) would that be correct?

slimes   377   12 Replies

slimes

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a ...

If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a ...

[html]If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 17 -

Znick   372   3 Replies

smdavis

Find derivative by using definition of the derivative question 2

Find derivative by using definition of the derivative question 2

2. V(t) = t + 1 / t + 4

12

Orlando0   351   15 Replies

Orlando0

Use the product rule to find derivative

Use the product rule to find derivative

questions

Orlando0   343   9 Replies

bio_man

Find the derivative by using the quotient rule.

Find the derivative by using the quotient rule.

Need help with question1.
I've showed my work for 2. so would that be the correct answer?

12

slimes   340   14 Replies

slimes

Determine if each function is continuous, If the function is not continuous, find the x-axis

Determine if each function is continuous, If the function is not continuous, find the x-axis

Determine if each function is continuous, If the function is not continuous, find the x-axis location and classify each discontinuity.

Sweet16   338   1 Reply

bio_man

Find the derivative using delta method

Find the derivative using delta method

1/Square root(x+1)

Mathus   331   4 Replies

bio_man

Calculus homework question due

Calculus homework question due

Hi I need urgent help with this question

6.

s.h_math   323   3 Replies

bio_man

Finding the derivative using the power rule - Solutions

Finding the derivative using the power rule - Solutions

Hi I want to know if these questions are the correct answer? Thanks.
a) y = 5x^0
= 0x^-1
b) y = 4/5x^5 - 3x
= 4x^4 - 3x

12

slimes   320   20 Replies

bio_man

Calculus homework help please

Calculus homework help please

PART D: THINKING & INQUIRY 8. The function s(t) = &

Sadah_17   317   4 Replies

Sadah_17

Delta method question!

Delta method question!

Find the derivative of this by the delta method

\(y=x^2+3x-\frac{2}{x}\)

\(\frac{dy}{dx}=\lim _{\Delta x\rightarrow 0}\left(x^2+3x-\frac{2}{x}\right)\)

Apply [math=inl

bio_man   313   N/A

bio_man

Calculus homework help please

Calculus homework help please

PART D: THINKING & INQUIRY AND COMMUNICATION 7. Sket

Sadah_17   313   4 Replies

Sadah_17

Delta method calculus for ³√x²

Delta method calculus for ³√x²

Set:

\(f\left(x\right)=\sqrt[3]{x^2}\)

Apply into limit expression, do not take the limit yet:

[math=inline]\lim _{x\rightarrow 0}\ \frac{\sqrt[3]{\left(x+\Delta x\right)^2}-\sqrt[3]{x^2}

bio_man   312   1 Reply

duddy

Differentiate each function with respect to x. (Power rule)

Differentiate each function with respect to x. (Power rule)

the answers to these questions had shown that I was wrong can someone explain please, thank you.

Orlando0   310   10 Replies

Orlando0

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   307   3 Replies

bio_man

Find derivative using quotient rule

Find derivative using quotient rule

Questions and the actual answers

Orlando0   301   9 Replies

bio_man

Find the derivative of f(x) = 6x^3 - 9x + 4

Find the derivative of f(x) = 6x^3 - 9x + 4

What did I do wrong here??
h->0 f(x + h) - f(x)/h
h->0 6(x + h)^3 - 9 (x + h) + 4 - (6x^3 - 9x + 4)
h-> 6x^3 + 18x^2h + 18h^2x + 6h^2 - 9x - 9h + 4 - 6x^3 + 9x - 4/h
h->0 18x^2h + 18h^2x + 6h^2/h = 6h(3hx + 3x^2 + h)/h

slimes   293   11 Replies

bio_man

Outline two methods you can differentiate f(x) = (x^2-4x+2)(x^4+2)?

Outline two methods you can differentiate f(x) = (x^2-4x+2)(x^4+2)?

Outline two methods you can differentiate f(x) = (x^2-4x+2)(x^4+2)?

Post Merge: 2 years ago

I also had trouble with this question I tried solving it, but I'm not sure.

the question is

s.h_math   292   2 Replies

Yeah.Yeah.

Find the relationship describing the volume (V) of a cube as a function of the length of the diagona

Find the relationship describing the volume (V) of a cube as a function of the length of the diagona

Find the relationship describing the volume (V) of a cube as a function of the length of the diagonal going through the cube (d).  You MUST show your work in finding this relationship (either by writing it out on paper, or typing it up in Maple)

Bigdadyteel   288   N/A

Bigdadyteel

Delta method versus quotient rule

Delta method versus quotient rule

\(f\left(x\right)=\frac{3}{x^2+1}\)

Applying the quotient rule, notice how the denominator is now squared:

[math=inline]f'\left(x\right)=\frac{\left(0\right)\left(x^2+1\right)-\left(3\right)\left(2x\right)}{

bio_man   288   1 Reply

ryann

Sketch the graph using the tables providing. Determine if each function is continuous or discontinuo

Sketch the graph using the tables providing. Determine if each function is continuous or discontinuo

PART D: THINKING & INQUIRY 9. Sketch the graph usin

Sadah_17   287   1 Reply

bio_man

Integrate √x-1 dx

Integrate √x-1 dx

\(\int \sqrt{x-1}dx\)

For this, you do a simple u-substitution.

Set \(x-1\) equal to \(u\), giving you the following expression:

[math=inline]\int \sqrt{u}dx[/mat

bio_man   282   N/A

bio_man