25,270 Answered Questions for the topic calculus

Calculus

02/20/24

Use the Trapezoidal and Simpson's rule to find the definite integral
∫(0 to pi/2) 3√(1+cosx)dx, n=4
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Calculus

02/20/24

How large should n be to guarantee that Simpson's Rule approximation to this integral is accurate to within 0.00001?
How large should n be to guarantee that Simpson's Rule approximation to ∫(0 to 1)ex^2dx is accurate to within 0.00001?
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Calculus

02/20/24

Use the Trapezoidal Rule and Simpson's rule to find the definite integral.
∫(0 to 2) (ex)/(1+x2)dx, n=10
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Calculus

02/20/24

Find the integral using part decomposition.
∫(x3-2x2+2x-5)/(x4+4x2+3)dx
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Calculus

02/20/24

Find the definite integral using part decomposition.
∫(from 0 to 1) (x-4)/(x2-5x+6)
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Calculus Math

02/20/24

find projection
Forces of 5 pounds and 19 pounds act on each other with an angle of 48°.The magnitude of the resultant force ≈ ____ pounds.The resultant force has an angle of ≈ ____° with the 5 pound force.The... more
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Calculus

02/19/24

Calculus Question
For the solid of constant density k bounded by the surfaces z = x^2, y = 2z, z = 2, y = 0, use iterated integrals to find the center of mass of the region. Give your answer as a coordinate triple... more
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Calculus

02/19/24

let f(x)= (8x^2-4)^3(3x^2-4)^14
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Calculus

02/17/24

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 1-y^4, x = 0 about x=6

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Calculus

02/17/24

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 0, y = x(8-x) about the axis x = 0
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Calculus

02/17/24

Find the surface area.
Consider the curve given parametrically byx(t)=t, y(t)=t2 and z(t)=cos .5πt.What is the area of the surface between the curve and the xy-plane>Note: below is the link to a graph of the... more
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Calculus

02/17/24

How do you solve for x: ln(x-1) + ln(x+2) = 1
Here's what I did: ln(x+2)(x-1) = 1x^2 + x - 2 = e and I don't know what to do afterwords. Could you show me the steps?
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Calculus

02/16/24

calculus related rates problem
Two people start from the same point. One walks east at 5 mi/h and the other walks northeast at 8 mi/h. How fast is the distance between the people changing after 15 minutes? (Round your answer to... more
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Calculus

02/16/24

Find an integer n that would guarantee Simpson's Rule Sn to be within 10^-4 of the definite integral.
Find an integer n that would guarantee Simpson's Rule Sn to be within 10-4 of ∫(1 to 7)x5/2dx. You do not need to simplify.
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Calculus

02/16/24

Use the Trapezoidal Rule with n=4 to approximate the definite integral.
Use the Trapezoidal Rule with n=4 to approximate ∫(-2 to 2)(x3dx)
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Calculus

02/16/24

Evaluate the indefinite integral.
∫(x2-1)/(x2+x-12)dx
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Calculus

02/15/24

AP Calculus BC -- Differential Equation
Given that dy/dx =5y(3-x) and f(4) = 1, find f(x).
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Calculus

02/14/24

Oil well burning in a 100 miles of the well( i think in a circle)
When an oil well burns, sediment is carried up into the air by the flames and is eventually deposited on the ground. Less sediment is deposited further away from the well. Experimental evidence... more
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Calculus

02/14/24

Find the slope of the line through the origin that splits the region bounded by the parabola y = x-x^2 and the x-axis into two regions of equal area
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Calculus

02/13/24

Need help with trigonometric substitution for integrals
What is the integral of x^3/sqrt(9+x^2) using trigonometric substitution x=3tan(theta). How to go about this?
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Calculus

02/13/24

Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = −5 and g'(4) = 6. (Enter your answer as an equation in terms of y and x.)
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Calculus

02/13/24

Find the slope of the tangent line to the curve at x = −1.
f(x)= √9-10x
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Calculus

02/13/24

Find an equation of the tangent line to the curve at the given point.

y= √x(25,5)
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Calculus Math

02/13/24

Find the local linear approximation of...
f(x) = cos27x + x at x = 0. Then, use the approximation to estimate cos2(3.5) + 0.5.A) 0.5B) 4.5C) 1.5D) 1
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Calculus

02/13/24

Calculus 4 Question
For the solid of constant density k bounded by the surfaces z = x^2, y = 2z, z = 2, y = 0,a. Show the region using a 3d grapher and suitable zoom settings.b. Use iterated integrals to find the... more
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