6. For the given motion, (a) find v, a and dat to; (b) find at to; and (c) find a and a at to. r(t) = ei-e-2t j; at to = 0. -24 LIS -24

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

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Q: -2 3

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Q: Use the Chain Rule to find the indicated partial derivatives. Z x² + x²y₁ x = s + 2t - u, y = stu²;…

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

Q: Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

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

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Q: 5. [x³5 (2²³ + x5 (x³ + 1)6 dx

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

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A: To find double derivative of the given function.

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Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

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Q: Find the distance from the point (3, 1, -1) to the plane x 2y + 2z + 4 = 0.

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Q: iven the geometric sequence: 30 11' nd a formula for the n-th term: ao = 10, a₁ An a2 90 121

A: Given query is to find the nth term.

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A: We find the first and second order derivative of r(t)

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Q: Let f(x) = 2e-3x², in its domain a) f has a local minimum. b) f is a bounded function. c) f is a…

A: f(x)=2e-3x2, in its domain.

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A: Given: y = x2+6x Between x=3 and x=9

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Q: Find the derivative of f(x) = 9 In (x).

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Q: The answer is not clear

A: we need to differentiate the function.

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Q: Evaluate the integral. (20t³ i − 9t² j + 10t4 k) dt -

A: let   A=∫01(20t3i-9t2j+10t4k)dtwe know  ∫tndt=tn+1n+1+c

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Q: Find and simplify each of the following for f(x) = 2x² - 8x + 8. (A) f(x + h) (B) f(x+h)-f(x)…

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Q: x-1, (10) Consider the function f(x)=x+2 4 (a) Sketch the graph of f (b) limo-f(x) (c) limz+o+ f(x)…

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Q: Solve 2ayy' 4x² + 3y² 42

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