A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t seconds. How far will it travel during the first 11 seconds?

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A: 2. Given Integral,∫s4 + 81ss2 + 92 ds

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A: According to question,Given series,1262 + 2272 + 3282 + ........

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A: dtan-1(x)dx=11+x2

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A: This question is based on two variable limits.

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A: NOTE: Refresh your page if you can't see any equations. .

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A: The average value of fx=x+2 on the interval 1,4

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we want to…

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Q: Find lim X-0 √x² + 100-10 x²

A: We will find the value of the limit in the following step.

Q: 4. Evaluate (²52³Vl-Pax

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use polynomial division to express the following rational functions as a quotient plus a rational…

A: We can find the answer as below.

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: Work Problem for the question. Let You must provide a clear and detailed solution z = (y-2x)³. where…

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Q: 2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

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Q: 4. ff 3 dx dy 0 y

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Q: Question 2 A₁ 10 Rope A2 A3 10 Barn A₂ A calf is tethered to one corner of a barn with a rope 90…

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Q: What is the slope of the tangent line to the graph of x^2 - xy + 3y^2 -2x + 4y = 17 at (5,1)

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

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Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: f(x, y) = 6√x - y²e-³xy е a) b) + elw Find få and fy. Evaluate frzy (4, −1).

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Q: lim t→∞ 14/3 + 71/3 2 (6+²/3 +11) ²

A: To find out the limit.

Q: Find the general solution for the differential equation: (2xy²-2y)dx+(3x²y-4x)dy=0

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Q: fe* sin 2xdx.

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Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

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Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

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Q: 11 1 2 (x-3)/3 -dx

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A: In this question we have to find the value of c so that f(x) is left continuous at x=1

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Q: 3( Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: Let z = √7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2.

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Q: Including all steps, charts, and derivations details, use the curve sketching methods to sketch the…

A: Concept: Cosine function: Similar to the sine graph, the cosine graph is an up-down graph. The sine…

Q: Question a)' b)'. : Evaluate the integral J ,: Show all your work. 3x-1 (x + 4)(2x - 1) . Evaluate…

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