. Let r(t) = (t², 1 t, 4t). Calculate the derivative of r(t) · a(t) at t = 6, assuming that a(6) = (9, −2, −2) and aʼ(6) = (2, 7, −8) d dt _r(t) · a(t)|t=6 · · = [ -0

Q: Let r(t) = (t2, 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) =…

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A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: (c) Compute the derivative of u = Vt² +2vt³.

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Q: 3 a. Suppose h(n)= 15n° + n and f(n) = 14n°. Is f(n)EN(h(n))? Use the definition of Omega notation.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: calculate the derivative at t = 3, assuming that rị(3) = (1, 1, 0) , r2(3) = (1, 1, 0) r{ (3) =…

A: To calculate: ddt6r1(t)-4·r2(t) at t=3, where r1(3)=<1,1,0>,…

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A: We have to prove that ddx∫axftdt=fx This will be prove by Newton's Leibnitz rule in this rule we…

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Q: Compute the derivative for r(t) = d dt f(t) = (Use symbolic notation and fractions where needed.)…

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A: Given vectors are we are to find the derivative of u(t).v(t)

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A: solve the following

Q: Compute the derivative: d I/ In(t° + 1) dt dx

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Q: Let r (t)= - The x component of r' (-1) =

A: r'(t)=<2t,3,5> r'(-1)=<-2,3,5>