find SCE) at timet V=-5t+5, S0) = 14

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A: We will find the derivative.

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: dx 00 2 X х +4

A:

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A: We have to answer following Questions.

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A: To find the volume of the given solid using triple integral.

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A:

Q: 3. Use the Fundamental Theorem of Calculus to evaluate the definite integral 16 x Vx dx 4

A: Given: ∫416xxdx Simplifing the given integral∫416xxdx=∫416x(x12)dx                 =∫416x1+12dx…

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A:

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A: We need to draw graph.

Q: Area A = 1,427 Calculate the definite integral f(x) dx by referring to the Area B = 2,460 Area C =…

A: Here we will find the definite integral,

Q: 20. Evaluate the limit lim 213

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A:

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A:

Q: uences below are either arithmetic sequences or geometric seguences. For each sequence, determine…

A: Given query is to find the type of the sequence.

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A: Here we have to use this equation to compute the curvature at the given point.

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A:

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A: Given query is to find the amount accumulated.

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A: Our Aim is to evaluate the integral by integration by partsI=∫xx+13/2 dx  -(i)

Q: Find the derivative of this function

A:

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A: Topic = Derivative

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A: integration using partial fraction

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A: Solution is given below:

Q: dy x+3y. dx 2x

A: First order differential equation :  Consider the first order differential equation…

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A:

Q: Find the following for the given equation. r(t) = (e-t, 4t2, 9 tan(t)) (a) r'(t) (b) r"(t) = %3D (c)…

A:

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: integration

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

A:

Q: Find curl (8z i + 9xj+4y k). curl(8z i + 9x j + 4y k) = ( i )i + ( i j+( i )k

A: topic- curl of a vector

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A:

Q: he curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i + 4 sin(t)j + tk; t 2…

A: Please refer to the image below

Q: A. Sketch the figure for analysis. Shade the needed region and draw a representative vertical or…

A: Here, the region is bounded by the curves: x=4, y2=x

Q: Ex: Investigate the convergence of the following series. H.W 1 7 2) ΣΥ-1 3n 2n+5n IL !

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Q: Problem 4. Explain whether or not the following sets are subspaces of the given vector space +6] -b:…

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Q: SHOW THAT THE DIFFERENTIAL EQUATION IS LINEAR EQUATION OF ORDER ONE 2. (y – 2)dx + (3x – y) dy =&

A: We can solve this problem as follows:

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A:

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

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Q: Verify Green's Theorem by evaluating both integrals aN aM dy dA ду ax for the given path. C: square…

A: Application of integration

Q: I - 5 Use l'Hopital's Rule to evaluate lim Then determine the limit using limit laws and I5 22 - 25…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

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Q: testconuer gnce and diverg ence 2+5 3"

A:

Q: -(1/3), 3/9, -5/27, 7/81

A: