25,270 Answered Questions for the topic calculus

Calculus Math

10/01/24

How would I solve this equation?
x(1+x)^50 / (1+x)^50-1 * 20000 = 476.75
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Calculus Python

09/30/24

Another approximation for integrals is the Trapezoid Rule: There is a built-in function trapezoid in the package scipy .integrate (see the overview for more information).
(a) Compute the Trapezoid approximation using n = 500 subintervals.(b) Is the Trapezoid approximation equal to the average of the Left and Right Endpointapproximations?
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Calculus

09/29/24

can you please help me thanks
a mass attached to a vertical spring has position function given by s (t)=5 sin(2t)where t measure in second and 8 inchesfind the veloctiy at time t=4find the acceleration at time t=4
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Calculus

09/29/24

Evaluate the integral. (Use C for the constant of integration.)
∫√x^2-25 / x^4 dx
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Calculus

09/29/24

Give the substitution, involving the trigonometric function of either tan(𝜃), sin(𝜃) or sec(𝜃), that would be used when solving these integrals. Be sure to use 𝜃 as the variable.
a) ∫√x^2+10x+61 dxx= b) ∫√x^2+6x-55 dxx=
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Calculus

09/29/24

Give the substitution, involving the trigonometric function of either tan(𝜃), sin(𝜃) or sec(𝜃), that would be used when solving these integrals. Be sure to use 𝜃 as the variable.
a) ∫√1-100x^2 dxb) ∫√25x^2 -36 dxc) ∫√16x^2+36 dx
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Calculus Precalculus

09/29/24

Is tutoring Calculus or Precalculus Online Effective?
Are you wondering if you can benefit from online tutoring of Calculus or Precalculus to the same degree that you would benefit from In-Person tutoring?
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Calculus

09/28/24

Left endpoint approximation

An object's velocity in meters per second after 𝑡 seconds is given by 𝑣(𝑡)= -4𝑥^2+96𝑥.Estimate the distance the object travels from 𝑡= 0 to 𝑡= 18 using left endpoint approximation with 6 rectangles.
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Calculus

09/26/24

Volumes (washer/Disk method)
A CAT scan produces equally spaced cross-sectional views of a human organ that provides information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver... more
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Calculus

09/26/24

Evaluate the indefinite integral 9dx/xln6x
I have to evaluate the indefinite integral ∫9dx/xln6x but I'm getting stuck with the solution. When I tried to solve it I got 9lnln6x + C which is only partly the right answer... apparently?... more
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Calculus

09/26/24

Displacement & Distance Traveled of v(t) = t^3 - 5t^2 on the interval [-1,6]
The velocity function (in meters per second) for a particle moving along a line is given by v(t) = t3-5t2. Find the displacement and the distance traveled by the particle during the time interval... more
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Calculus

09/26/24

Question I'm not sure I solved right (Calc 2, L'Hopital's rule I believe)
If I could get a thorough explanation of each step or justification, that would be super appreciated!Find numbers a and b such that:lim sqrt(ax+b)-2x→0 ————— = 1 xI... more
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Calculus

09/25/24

volumes (washer/disk method)

A graphing calculator is recommended.Use technology to find the volume of the solid obtained by rotating the region bounded by the given curve about the specified line. (Round your answers to five... more
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Calculus

09/25/24

volumes (washer/disk method)

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x2,  y = 4x; about the y-axis I tried solving this question and I checked... more
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Calculus

09/25/24

Finding Average Velocity
I'm having a hard time wrapping my head around this, so any assistance is greatly appreciated.The problem is "In a time of t seconds, a particle moves a distance of s meters from its starting... more
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Calculus Precalculus

09/25/24

Is there a way to simplify this trig expression without a calculator?
Solved this using a calculator, but wanted to know if it can be done, at least partially, by hand. Not looking for all solutions of x (unless there's a general formula). Just the lowest, positive x... more
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Calculus Precalculus

09/19/24

Solve for x using inverse trig identities
arcsin(sqrt(2x))=arccos(sqrt(x))
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Calculus

09/19/24

plssssss help, I only need help with sketching the graphs. I can answer the questions on my own. Thank U
Link to image of problem  
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Calculus

09/19/24

Finding the values for A(x) for domain 0≤t≤8 when A(x)∫ f(t)dt w/ interval [0,x]
How to find: A(0), A(1), A(2), A(3), A(4), A(5), A(6), A(7), A(8) using A(x) = ∫x0 f(t)dt on the domain 0 ≤ t ≤ 8.The graph points are: (0,-2), (1,-2), (2,-4), (3,0), (4,1), (5,2), (6,2), (7,0),... more
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Calculus

09/17/24

Evaluate the integral. (Remember the constant of integration.)
∫2csc^4(x)cot^6(x)dx
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Calculus

09/15/24

AP Calculus question, could someone please explain the below question?
The slope of the line tangent to the graph of ln(xy)=x at the point where x=1 is1-e10e^2e
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Calculus

09/15/24

Find the integral of 6/(square root(e^(2x)-4) dx

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Calculus Math

09/15/24

Tangent Approximations Word Problem
We are modelling the value of a collectible coin using V(t) = 240(1+t)1/3, where t is the number of years that have elapsed from the present day. Approximate how much value the coin accumulates... more
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Calculus Math

09/15/24

Tangent Approximation
Let f(x)=1/x2. Determine the equation for a tangent line to f at a=2, and use this tangent equation to approximate f(2.25).
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09/15/24

differentials (calculus)
Let u=f(x)= Find the differential du.
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