25,270 Answered Questions for the topic calculus

Calculus

01/24/25

The functions f(x) and g(x) are differentiable. The function h(x) is defined as: h(x)=f(x)+g(x) If f(6)=9, f′(6)= – 4, g(6)= – 6, and g′(6)= – 3, what is h′(6)? Simplify any fractions. h′(6)=
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Calculus

01/23/25

Integration question
I keep getting wrong answer, can someone help me with tis
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Calculus

01/22/25

Use the limit method (the number of subintervals or rectangles are getting infinite) to find the area of the region bounded by the graph and the x-axis or y-axis.
f(x)=2x^3 -x^2 and the x-axis. x[1,4].I solved this problem using the limit method and got 84 units, but I know it's wrong because the integral turns out to be 106.5. I tripled check my work but... more
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Calculus

01/19/25

triple integral intervals for flux calculus
I'd like some help to calculate flux of F={(x, y, z) = x(z^3 − y^2), −yz^3, z(y^2 − 1)} going through surface S = {(x, y, z) : x^2 + 4y^2 + z^2 = 36, x(x + 2) ≤ 8} using gauss. The triple integral... more
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Calculus Math

01/11/25

Integrating a trigonometric integral using trig identities (calculus 2)
Evaluate the following integral∫sin6(x)cos5(x)dx
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01/10/25

How do you solve an integral problem?
How to evaluate an integral which can be a definite integral or an indefinite inegral.
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Calculus

01/06/25

The position of an object attached to a spring is given by s(t)=(1)/(4)cos(4t)-(1)/(6)sin(4t), where t is time in seconds. When 0, how many times is the velocity of the object equal to 0?
The position of an object attached to a spring is given by s(t)=(1)/(4)cos(4t)-(1)/(6)sin(4t), where t is time in seconds. When 0, how many times is the velocity of the object equal to 0?ZeroOne... more
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Calculus

12/19/24

Calculus Question Area Bounded
What is the area of the region bounded by the graphs of y = x2 and y = 1
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Calculus Math

12/19/24

urgent please help

Suppose that in the simple RL circuit, the resistance is 20W and the inductance is 1 H. If a generator supplies a voltage of 𝐸(𝑡) = 60 sin 40𝑡 volts, and i(0) = 1A. Find i(t).
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Calculus Math

12/18/24

urgent please help
Approximate the following definite integral to three decimal places (Use the first four terms). 0 to 0.5 sin(x^4)dx
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Calculus Math

12/13/24

Right Riemann Sum to Determine an Integral that Defines an Area
Consider the region bounded by y=2-x2 and y=-x from x=-1 to x=2. Use a Right Riemann Sum to create an integral that calculates the area of the region. You don't need to evaluate the integral.
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12/10/24

where can I find an exact tutor I want by name?
Im trying to find Andy L, and he's in garden grove
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Calculus

12/08/24

Riemann Sum Right Problem
Evaluate the Riemann Sum Right in the interval [a,b] with n sections. f(x) = - 5x + 6 1. What is the Riemann Sum - Right when n is 10? 2. What is the Riemann Sum - Right when n is 100? 3. What is... more
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Calculus Math Precalculus

12/07/24

Determine whether the series is divergent or convergent, and if convergent, then absolutely or conditionally.
Determine whether the series is divergent or convergent, and if convergent, then absolutely or conditionally. ∑from ∞ to n=2 (2lnn)/(n^2). Please help ASAP
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Calculus Math

12/06/24

How to solve for P(x) if P'(x)=4P(x)+a, assuming a is a non-zero constant
I have to solve this differential equation for my calculus class, and I've gotten stuck. I found that if P(x)=e4x then P'(x)=4e4x which I think is a step in the right direction, but I'm confused... more
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Calculus

12/06/24

Max-Min problem
A woman can run twice as fast as she can swim. She is standing at point A on the edge of a circular swimming pool 40m in diameter, and she wishes to get the diametrically opposite point B as... more
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Calculus

12/06/24

cancelling my session
my tutor is not able to cancel my lesson and neither can I but i was already charged before hand. How do I do it?
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Calculus

12/05/24

Hydrostatic force

The Deligne Dam on the Carley River is built so that the wall facing the water is shaped like the region above the curve y = 0.1 x^2 and below the line y = 160. (Here the distances are measured in... more
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Calculus

12/04/24

Bounded regions

Sketch the region bounded by the given curves. Decide whether to integrate with respect to x or y. Then find the are of the region. 2y = 4sqrtx, y= 5, and 2y +2x = 6. Use desmos or something.
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Calculus

12/03/24

Evaluate the integrals using u-substitution:
Evaluate the integrals using u-substitution:∫theta (4√1-theta)2dtheta
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Calculus

12/03/24

Evaluate the integrals using u-substitution:
Evaluate the integrals using u-substitution:∫sin^5(x/3)cos(x/3)dx
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Calculus

12/03/24

Evaluate the integrals using u-substitution:
Evaluate the integrals using u-substitution:∫r^2((r^3/18)-1)^5 dr
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Calculus

12/02/24

please help and show work im having trouble understanding

question 1) Determine a Taylor series around x=0 for \int (sin x )/(x)question 2)  Find sum of geometric series \sum_(n=0)^(\infty ) (3(2)^(n+1))/(4^(n))
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Calculus

12/02/24

Find the area of the shaded region.
r = sqrt 𝜃A coordinate plane is given. A curve and a region are graphed. The curve starts at the origin, goes counterclockwise becoming further away from the origin, passes through the positive... more
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Calculus

12/02/24

Find the area of the region that lies inside the first curve and outside the second curve. r = 5 − 5 sin(𝜃), r = 5
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