25,270 Answered Questions for the topic calculus

Calculus

08/01/24

Separable equations
Find the solution of the differential equation that satisfies the given initial condition.x ln(x) = y(1 +  √(15 + y2)y',    y(1) = 1 .
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Calculus Math Physics

08/01/24

A BMX bike jumps off a 10 meter tall ramp with an angle of inclination of 35 degrees, and a speed of 12 m/s.
A BMX bike jumps off a 10 meter tall ramp with an angle of inclination of 35 degrees, as shown below, and a speed of 12 m/s.The landing ramp is 6 m high, and 18.2 m away from the base of the... more
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Calculus

08/01/24

Find the slope of the tangent line to the curve below at the point (1,6)
√(4x+2y) + √(4xy) = 8.8989794855664Everything in the parentheses is under the square root symbol. At the point (1,6) what is the slope of the tangent line to the curve? Leave you answer as a... more
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Calculus

07/31/24

Use implicit differentiation to find the slope of the tangent line to the curve
Use implicit differentiation to find the slope of the tangent line to the curve y/(x-9y) = x^8 -3 at the point (1, 2/17) find the slope.
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Calculus

07/31/24

Find the slope of the tangent line to the curve below at the point...
Find the slope of the tangent line to the curve below at the point (4, 3)  √(3x+3y) +  √(5xy) = 12.328542387371What is the slope?
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Calculus

07/31/24

Use implicit differentiation to find the slope of the tangent line to the curve.
Use implicit differentiation to find the slope of the tangent line to the curve y/(x+8y) = x^6 - 4 at the point (1, -3/25) what is the slope?
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Calculus

07/31/24

Separable Equations
Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y..
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Calculus

07/31/24

Separable equations
A vat with 200 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 2 gal/min and the mixture is pumped out at the same rate. What is the... more
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Calculus Math Mathematica

07/30/24

Parametric question
Two cars are racing at a constant speed around a circular racetrack. Car A requires 15 seconds to travel once around the racetrack, and car B requires 25 seconds to travel once around the... more
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Calculus

07/26/24

Taylor and Maclaurin series

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 8xf(x) = ∑ (from n=0 to ∞) ( ? ... more
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Calculus

07/26/24

Taylor and Maclaurin series

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)f(x)... more
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Calculus

07/26/24

Representations of functions as power series

Find a power series representation for the function.f(x) = (8+x)/ (1-x)2f(x) = ∑(from n=0 to ∞) ( ? )I got the answer ∑ (from n=0 to ∞) (9n-1)x^n but the professor marked my answer wrong! What... more
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Calculus

07/26/24

Representations of functions as power series
Use a power series to approximate the definite integral, I, to six decimal places.∫ (from 0 to 0.3) x6 / (1+ x7) dx i = ?
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Calculus

07/26/24

Representations of functions as power series

Find a power series representation for the function.f(x) = (8+x)/ (1-x)2f(x) = ∑(from n=0 to ∞) ( ? )
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Calculus

07/26/24

Representation of functions as a power series

Find a power series representation for the function. (Give your power series representation centered at x = 0.)f(x)= x2 / (x4+16) f(x)= ∑(from n=0 to ∞) ( ? )
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Calculus

07/25/24

Instant Booking
I no longer see an option for instant booking! Please help!
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Calculus Precalculus

07/25/24

Partial Fraction Decomposition (cont'd)
Find the P.F.D. of the following function.
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Calculus

07/24/24

Please walk me through how to do this problem (CALC 3) I'm confused what a Unit disc is.

Compute the double integral R (region) of (x^2+y^2)^2dA where R is the unit disc. I know I have to set up d-theta and dr, but does the bounds of a unit disc (which I'm assuming is 0 to 2pi)? Apply... more
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Calculus Math

07/22/24

Gauss/Divergence Theorem
Calculate ∫∫S F • dSF = ⟨ 4x3z, 4y3z , 3z4 ⟩S is the surface of the solid bounded by the hemispheresz = sqrt(25 - x^2 - y^2), z = sqrt(4 - x^2 - y^2) and the plane z = 0
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Calculus Math

07/22/24

Gauss/Divergence Theorem
Calculate ∫∫S F • dSF = ⟨ 3xy2, xez , z3 ⟩S is the surface of the solid bounded by the cylinder y2 + z2 = 16 and the planes x = 1 and x = 5
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Calculus

07/21/24

The intergel (3x^2 -4x+10)^6 (12x-8)

It should not be a fourteen-degree polynomial but thats what i keep getting
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Calculus Math

07/19/24

Green's Theorem
Compute the flux of the vector field ⟨x5, −xy4⟩, out of the rectangle with vertices (0,0), (4,0), (4,1) and (0,1)
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Calculus

07/18/24

Find the radius of convergence, R, of the series.
∑ (from n=1 to ∞) (n^2 x^n)/(7 · 14 · 21 ·    · (7n)) R = ? Find the interval, i, of convergence of the series. (Enter your answer using interval notation.)i = ?
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Calculus

07/18/24

Find the radius of convergence, R, of the series.
∑(from n=2 to ∞) ((x+7)^n)/(7^n ln (n)) Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
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Calculus Math

07/18/24

When does object A overtake object B?

Two objects at t=0t = 0t=0 start moving along a straight path. Object A starts at 8 miles per hour. The velocity of object A changes according to the function Va(t)= (t+8)/(e^t) for t>0. The... more
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