367 Answered Questions for the topic Calculus 2

Calculus 2 Derivatives

02/03/17

Calculus 2 Rates - Newton's Law of Cooling

(1 point) Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is... more
Calculus 2 Calculus

01/30/17

Find dy/dx by implicit differentiation. arctan(4x^2y) = x + 5xy^2

derivatives w inverse trig functions
Calculus 2 Calculus

01/30/17

Find y' and y''. y = sqrt(x) * ln(x)

calculus, derivatives with natural logs  
Calculus 2 Integration

01/29/17

Help on a calculus problem.

Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions y=x^2, y=8−x^2 and to the right of x=1 about the y-axis.

Need help with this related rate problem

Laura is hitting a golf ball at the driving range. Suppose that the altitude of the ball is given in feet by the equation y = 200t − 40t 2, where t is the time in seconds after she hits the ball.... more
Calculus 2 Integration Tan^8x

12/09/16

Indefinite integral of tan^8x

After taking the integral I have (1/7)tan^7x+C-(1/5)tan^5x-C. I got this by breaking a tan^2x off and converting it into sec^2x-1. My question is what happens to my C when I have C-C?
Calculus 2 Calculus 3

10/27/16

The position function of a particle is given by r(t) = <t^2, 9t, t^2 - 16t> When is the speed a minimum?

The position function of a particle is given by r(t) = <t^2, 9t, t^2 − 16t> When is the speed a minimum?

10/22/16

Polar Coordinates DIFFICULT question! PLEASE HELP!!!

When recording live performances, sound engineers often use a microphone with a cardioid pickup pattern because it suppresses noise from the audience. Suppose the microphone is placed 4 m from the... more

10/21/16

Find the area of the region that lies inside both curves. PLEASE HELP!

Find the area of the region that lies inside both curves.r = √3 cos θ, r = sin θ   Thank you in advance!

10/21/16

Find the area of the region that lies inside the first curve and outside the second curve.

Find the area of the region that lies inside the first curve and outside the second curve.r = 9 cos θ, r = 4 + cos θ   Please show steps! Thanks in advance!
Calculus 2

10/21/16

Calculus 2 Area of a Region

I need this explained because I'm not really understanding it.   Sketch the region enclosed by the curves y=3|x| and y=x2−10.   List the points of intersection of these curves from LEFT to... more

10/20/16

Find the area of the shaded region r=v? PLEASE HELP!

Find the area of the shaded region r=√θ (r is equal to the square root of theta)   I can't show the picture but the shaded region is in the fourth quadrant.   Thanks in advance! 

10/09/16

Find the parametric equations and the symmetric equations for the line.

Find the parametric equations and the symmetric equations for the line.   The line of intersection of the planes x + 2y +3z = 1 and x - y + z = 1.   Please explain and thanks in advance!

Vector Functions and Space Curves PLEASE HELP!

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more
Calculus 2 Calculus

09/29/16

Calculus 2 Integration

I have more problem on my webwork that is confusing me:   Make the substitution u=√x to express the integrand as a rational function and then evaluate the integral ∫(6√x)/(x+9)dx
Calculus 2 Calculus

09/29/16

Calculus 2 Integration

I'm having trouble understanding this problem.   Make the substitution u=ex to express the integrand as a rational function with three linear factors in the denominator, one of which is u, and... more
Calculus 2 Math Help Calculus 3

09/26/16

Let f(x) = x^2. Find f(2x) - 2f(x) for x = -3. PLEASE HELP!!!

Let f(x) = x^2. Find f(2x) − 2f(x) for x = -3.   Here are the answer choices.    a. -18 b. -9 c. 0 d. 9 e. 18   Please explain and thank you in advance!
Calculus 2

09/23/16

y=x;y=square root (x); about y=1. Find the volume using washer/disk method.

I got pi/6. Not sure about the answer. Thanks.

09/22/16

Calculus 2 Help Finding the Area of the Curve

1.) Sketch the region enclosed by the curves below.2.) Decide whether to integrate with respect to x or y.3.) Find the area of the region.   2y=5sqrt(x), y=3, and 2y+1x=6
Calculus 2

09/16/16

Evaluate the integral. 0 to 1 (x3 - 5x - 11)/(x2 - x - 6) dx

I tried it and got A= 1/5 and B=-7/5. Not sure about it. Thanks. 
Calculus 2

09/16/16

What is the integral of t^5/v(t^2+7) dt ?

I got an answer but not sure about it. Thanks.
Calculus 2

09/16/16

Integrate improper integral from 3 to 2 of 1/square root of 3-x

Does it converge or diverge? I got 2 and therefore converges.

09/16/16

Calculus 2 The Fundamental Theory of Calculus help

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫cos(u2)du for b=4x and a=cos(x). I don't quite understand what to do here.

Solving for t in this equation.

205e0.005t = 280 + t   Please help me solve for t. I would like to know how to do it by hand.   
Calculus 2

09/10/16

I need help on calc 2

find integral   integral of x cos x dx

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