Use the fundamental theorem of calculus for path integrals to evaluate f.(yz2, xz2, 2.xyz). dr where c is the path parameterized by 7(t) = (2t + 1, 3t + 2, t + 1) with 0

Q: Compute r''(t) and r'''(t) for the following function. r(t) = (9t2 + 3,t+ 1,1) = (9r?. Find r'(t).…

A: Find the first, second, and third derivative of the following vector-valued function. r(t) = <9t2…

Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

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Q: Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

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Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Use the Second Fundamental Theorem of Calculus to find F"(x). F(: •¤ /1+ sin t dt t2 + 5t – 6 x /1 –…

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Q: What is the equation of the tangent plane to the graph of 3x²+4y²-2²=3 at the point (1,1,2) ? 03 1…

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Determine each of the following derivative values that involve functions that are defined in terms…

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Q: Let u(t)=6t3i+t2−4j−5k and v(t)=eti+9e−tj−e9tk. Compute the derivative of the following function.…

A: solve the following

Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: (Continuation of Exercise 31.) If ƒ is continuously differentiable on [0, a] for a > 0, and f(a) =…

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Q: Let f"(t) = 2t + sin t, f(0) = 1 and f'(0) = 2. Evaluate f(27).

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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>