330 Answered Questions for the topic Calculus 2

Calculus 2

10/04/18

#### College Calculus 2

Find the most general antiderivative.
f(x) = (x^5-x^3+8x)/x^4

Calculus 2 Calculus

10/04/18

#### College Calculus 2

Find the most general antiderivative of the function
f(x) = 5/x^4

#### Pre calculus question !!!

How many solutions does the equation sin(x) sin(2x) sin(3x)... sin(11x) sin(12x) = 0 have in the interval (0,π ] ?
(a) 11 (b) 12 (c) 24 (d) 46 (e) 68

#### Pre calculus question !!!

The vertices of a triangle ΔABC are A( p,q) , B(r, s) ,C(u, v) . Assume that these coordinates satisfy 2p+3r+4u=0 , 2q + 3s + 4v=0 , and the origin O(0,0) lies in the interior of ΔABC . If...
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Calculus 2

09/19/18

#### Whole question is in the description.

A bacterial culture has an initial population of 10,000. If it’s population declines to 4,000 in 4 hours, when will it’s population be 2530? Assume that the population decreases according to the...
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Calculus 2 Half Life

09/12/18

#### If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two

A radioactive substance follows the decay equation dA/ dt= kA. If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two decimal places.)

#### Double integral - calculating area

Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2.
The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect.... help!

Calculus 2 Graphing

08/07/18

#### find the concavity of y'=4y-y^3

I cant find the concavity of this function but I found the increase/decreae and everything else.

07/28/18

#### Find the Area (polar)

Find the area that is outside r = 2 but inside r = 4 cos θ.Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before the decimal point...
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Calculus 2

07/19/18

#### Calculus question about Derivatives of Inverse Functions

So I have the problem "f(x)=(x^3)-(3x^2)-1,x>=2, find the value of (df^-1)/dx at the point x=-1=f(3)" I keep on getting the answer as 9 but the book says 1/9 and I have no idea why. Could you...
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07/07/18

#### Find an area bounded by a graph

I need help with this task.
cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c

Calculus 2

07/03/18

#### The solid S has a base described by the circle x^2+y^2=3. What is the volume of S with Cross sections perpendicular to the x-axis and the base are rectangles

The solid S has a base described by the circle x^2+y^2=36. Cross sections perpendicular to the x-axis and the base are rectangles whose height from the base is one-ninth its length. What is the...
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Calculus 2 Differential Equations

06/30/18

#### Determine which function is a solution to the differential equation y ' − y = 0.

a) e^x
b) square root of 2x
c) x
d) none of these

06/30/18

#### Solve the differential equation

the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.

#### Find the absolute value of the resulting error if the value of the integral from 0 to 3 of x cubed, dx is estimated with 3 inscribed rectangles of equal width.

a) 87.75
b) 15.75
c) 11.25
d) 6.75

Calculus 2

06/24/18

#### Find the area enclosed by the polar curve r=8e^(0.9θ) on the interval 0≤θ≤1/8 and the straight line segment between its ends. Area = P.S. Its not 4.486.

Polar Curve and straight line segment.

Calculus 2

06/07/18

#### Volume of solid by rotating it

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x2, x = y2; about y = 1

06/06/18

#### Points of discountity

how do we find the points of discountity of
f(x)=8x/5x^2-1?
If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong !
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#### Confused about limits?

As lim x approaches -3 of x^2-3x/x^2-9
1.how can you solve it in a step by step i am really confused
2. When finding the sided limit we subsitutw in the original function or after we factor it?

#### How can you compute the domain of g and g'(t) without computing any integrals in its definiton?

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

#### Consider the differential equation dy/dx=x^2+4y-1. If y=f(x) is the solution to the differential equation, at what point does f have a relative maximum?

Possible answers include:
A. (3, -2)
B. (0, 1/4)
C. (-2, -1)
D. (-5,-6)

05/11/18

#### calculus question, need help please!

Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3.
a) Write the area of R as a definite integral.
b) Calculate the area of R.

Calculus 2

05/02/18

#### find the derivative of (sech(4x))^2

I calculated the answer to be -8sech^2(4x)tanh(4x) but i'm not sure if it is correct.

Calculus 2 Trigonometric Functions

04/29/18

#### Tempuratures using Trig Function

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 38 and 52 degrees during the day and the average daily temperature first...
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Calculus 2

04/22/18

#### Use known Taylor Series to find the value for...

Use known Taylor Series to find the value for: (π is Pi character)
π/3 - π/3^3 * 3! + π/3^5 * 5! - π/3^7 * 7! + ......

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