427 Answered Questions for the topic Calculus 2

Calculus 2

02/18/17

calculus II
Set up the definite integral that gives the area of the region.y1 = x2 + 2x + 3y2 = 2x + 19
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Calculus 2

02/13/17

Calculus 2
The graphs of the "performance function" P= P(t) of someone learning a skill as a function of the training time t. Suppose that for a specific learning activity, it is determined that P(0) = 0.1M... more
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Calculus 2 Volume Radius Height

02/12/17

Cylindrical shells
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.x + y = 7, x = 16 − (y − 3)^2
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02/12/17

Use the Midpoint Rule with n = 5 to...
to estimate the volume V obtained by rotating about the y-axis the region under the curve y = (2 + 2x^3)^(1/2) , 0 ≤ x ≤ 1. (Round your answer to two decimal places.) It's for an inline homework... more
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Calculus 2 Math Area University

02/12/17

Find the area between these curves
Hi, I need help finding the area between these curves. I get the principal of finding the area between curves (sorta) but i am mostly stuck finding out how to find the limits of the definite... more
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Calculus 2

02/06/17

calculus 2 derivatives
  y= 3tan^-1(x-√(1+x^2))   finding derivative 
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Calculus 2

02/06/17

calculus 2
h(t) = 15 cot−1(t) + 15 cot−1(1/t)   finding derivative
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Calculus 2

02/06/17

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2e−x, y = 2, x = 6; about y = 4
thanks 
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Calculus 2

02/04/17

Inverse trigonemtric functions
Simplify the expression.       tan(sin−1 x)     Thank you in advance. 
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Calculus 2

02/04/17

Use the shell method to find the volume of the region below the graph of f(x)=cos(x^2) [0,1/2sqrt(pi)] is rotated about the y-axis
find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]
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Calculus 2 Integration

02/04/17

find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]
find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]
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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
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Calculus 2 Calculus

01/30/17

Find dy/dx by implicit differentiation. arctan(4x^2y) = x + 5xy^2
derivatives w inverse trig functions
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Calculus 2 Calculus

01/30/17

Find y' and y''. y = sqrt(x) * ln(x)
calculus, derivatives with natural logs  
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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.
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12/14/16

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
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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?
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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?
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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
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Calculus 2

10/21/16

Calculus 2 Area of a Region
Can someone walk me through this? I'm not understanding. Consider the region enclosed by the graphs of 2y=5√x , y=8 , 2y+1x=6The area A of this region could be computed in two ways: 1) By... more
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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!
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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!
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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
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Calculus 2

10/21/16

Calculus 2 Area of a Region
Can someone walk me through this? I'm not understanding.   Consider the region enclosed by the graphs of 2y=5√x , y=8 , 2y+1x=6 The area A of this region could be computed in two ways: 1) By... more
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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! 
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