Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = – 2tj %3D

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Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: L 3a da = 65 Select one: O True O False 2Vada = 104/3 %3D Select one: O True O False L(z +4)(z +3)dz…

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: A local pond can only hold up to 51 geese. Seven geese are introduced into the pond. Assume that the…

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Q: Find an equation of the largest sphere contained in the cube determined by the planes a 1, a = 7, y…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Which integral corresponds to the volume of the solid generated by revolving the region enclosed by…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: 6. Evaluate - x4 dx by making a substitution and interpreting the resulting integral in terms of an…

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Q: Find the general solution 4. (D2 – 9)y = 0 - %3D

A: We are authorized to solve only one question, please repost remaining questions Differential…

Q: Given x – 3 x 3 - What is lim g(x) ? O 1 O -6 O –1

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Q: Let 7 (t) = Find 7'(t) F'(t) -

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Q: Evaluate the double integral. 7x sin y'dA; Ris the region that is bounded by y = x², y = -x', and y…

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Q: Find the general solution of y' =y sec x. A. y = C (secx+ tan x) B. y= C (sec x – tan x) C. y = C…

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Q: f(9(x)) = 5 (x + 4) 2 f(g(x)) = (2a² + 3x – 5)7 f(g(x)) = (3x – 1)25 1. - 3.

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Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

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Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: Evaluate the definite integral I (sin(t), cos(t))dt Add Work Submit Question

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (7, 5, 1.386) x(t) =…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: 2) Find and of the following equation then simplify whenever possible. dx² x = Cos ß + Sin ß y = Sin…

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Q: Take

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Q: dy = xe with y(0) = 4 dx

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Q: (D² +6D+9)y=e³* 3x

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: x++ dx 1.

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: Use the formula r(t) - – P) x r"(0)|| to find giớ). ||P() × to find x(t). r(t) = e!l"i + e tj 156…

A: Given problem:- Find k(t) of r(t) =e12t i +e-t j