25,270 Answered Questions for the topic calculus

Calculus

10/31/24

Area Between Curves

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to c or y, Then find the area of the region, 2y+ 3sqrtx, y = 3, and 2y + 3 = 6
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Calculus

10/31/24

Calculating the integral: ∫7sin^4(x)cos^2(x)dx
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Calculus

10/30/24

\sum_(n=1 )^(\infty ) ((-1)^(n)ln(n))/(n)
(a) Determine whether the series is absolutely convergent, conditionally convergent, or divergent.b) Summarize your work and conclusions from part (a) in 5–7 complete sentences. Make sure to... more
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Calculus

10/29/24

INTEGRATION OF STUFF
Is this convergent or divergent? If it is convergent can you evaluate it?∫ top limit = 1 and bottom is - oo 7/ (2x-3)^2 dx
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Calculus

10/29/24

HELLPPPPPPPPPP MEEE
Conisder the type I improper integrals ∫ top limit oo and bottom 0 6e^-x DX To determine whether the internal is divergent or convergent we have to dine the value of ∫ with t on top and 0 on... more
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Calculus

10/29/24

Integration WORD PROBLEM
The following table shows the rate of water flow (In L/min) through a dam, T(min) 1 6 11 16 21 26 31V'(t) (L/min) 7 7 6 10 6 5 3Approximate the total volume of water that passed... more
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Calculus

10/29/24

Integral Aproximation
USe the trapezoidal rule, the midpoints rule, and the simpsons rule to approximate the internal ∫ with upper limit as 13 and lower as 1 (ln(x))/(3+x) DX with n = 4 T4=M4=S4=
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Calculus

10/28/24

Evaluating INtergrals
Evaluate the integral ∫ with 10 as top limit and 0 on bottom with (3)/ the fourth root of x dx
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Calculus

10/28/24

Integration stuff
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE".∫ oo on top and 2 on bottom (9)/(x+2)^3/2 dx
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Calculus

10/28/24

:(((((( Heloooppppp
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to... more
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Calculus

10/28/24

Similar to last problem

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE"∫ with 4 on top and -oo on bottom with (1)/(x^2 +1) dx
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Calculus

10/28/24

Improper integrals

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to... more
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Calculus Math

10/28/24

find the equation of the tangent line, at the designated point x³+y³=6xy, P(3,3)
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Calculus

10/26/24

optimization question Calc 1
An island (I) is 3.5 mi from the nearest point (S) on a straight shoreline; that point (S)is 8 mi from the power station (P). A utility company wants to lay electrical cable underwaterfrom the... more
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Calculus

10/25/24

Idk how to do this question please help
Please help solve this question:Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent line to the graph of f=(x+7)^-2
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Calculus

10/24/24

My tutor never showed up!
tutor never showed up
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Calculus

10/23/24

where do I find my calendar?
where do I find my calendar ?
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Calculus

10/23/24

Area of a surface of revolution
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by a calculator or... more
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Calculus

10/23/24

How does math work
what is one plus one
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Calculus

10/22/24

Implicitly Defined Functions
Consider the implicitly defined function 1+x=sin(xy2). Find dy/dx.
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Calculus Trigonometry

10/22/24

Calculus and Trigonometric Identities
Find all the values of x in the interval [0, 2π] that satisfy the equation sin(4x)=cos(2x).
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Calculus

10/22/24

Calculus in Polar coordinates
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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Calculus

10/22/24

Area of a Surface of Revolution
The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating with respect to x .x = e9y,    0 ≤ y ≤ 2∫ (from 1 to e18) ... more
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Calculus Math

10/22/24

calculus 1 homework question Absolute min and max question

Find the absolute minimum and maximum values of 𝑓(𝑥)=𝑥−ln𝑥 over the interval [1/2,3]. 
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Calculus Math

10/22/24

Calculus 1 Curve Sketching homework question urgent help please
Consider the function𝑓(𝑥)=(𝑥^2) sqrt(x+2)a) find the domain of f(x) b) find the local maximum c) find the domains of increase and decrease d) find the inflection point
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