1 Compute 7' (t) where 7(t) : t+1

Q: A r&r.'Find y as a function of t if 9y" – 24y' + 7y = 0, and y(5) = 3, y' (5) = 8.

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Q: Calculate r' (t) and T(t), where r(t) = (6 +5t,9 – 61, 2t). r' (t) = ( ). T(t) = ( ).

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Q: Let h(t) = 5t³.2 – 3t-3.2. Compute the following. h'(t) = h' (2) = h" (t) = h" (2) =

A: The following formulas of differentiation has been used to solve this questiona. f'(x)=ddxf(x)b.…

Q: Let f and g be the function defined by f(t) = 7t² and g(t) = t³ + 2t. Determine f'(t) and g'(t).…

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Q: DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is…

A: Lapalce transfermation.

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: Differentiate the function (5y 1)4 /y2 1 G(y) In =

A: Given information:

Q: Let f(t) = 7t – 7t + 7e'. Then f'(t)

A: The function is given by ft = 7t4-7t+7et To evaluate: The derivative of the function.

Q: Let f(x) = r e-t dt – 1/2. Find root to f(r) by using bisection method. You should find the interval…

A: As the given integral is improper and have no closed form solution; we will use numerical…

Q: f(t) = 5e-2t + calculate the LT. +² 2'

A: Laplace transformation of the function

Q: Knowing fli) = 3, f (1) = 27. find d (7) at

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Q: r(t) = 2t²1 - 4tj + 2t³k (a) r(t) (b) r"(t) (c) r(t)r"(t) (d) r(t) x r"(t)

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Q: Compute r''(t) and r'''(t) for the following function. -e-² r(t) = √t+6i+ r'' (t) = (i+j+ r''' (t) =…

A: We compute r''(t) and r'''(t) for the following functionr(t)= +-

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: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). - r(t) = 3t²i – 4tj + ²t³k 2 (a) r' (t) (b)…

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Q: What is T3 centered at a = 3 for a function f such that f (3) = 9, f' (3) = 8, f'' (3) = 4, and f'''…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) =i - 3tj + K 2 (a) r'(t) (b) r"(t) (c)…

A: Given that, r(t) = (3t2/2)i - 3tj + (t3/2)k   Ans (a). first derivative of the function, r'(t) = 3ti…

Q: Calculate r' (t) and T(t), where 1668 T(t) = r(t)= (4t-4, 1- 4t, 6t – 1).

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Q: Evaluate (z – i) dz where C:y(t) = VE² +1 + it³, 0<t < 1

A: We have to find ∫Cz-idz where C: γt=t2+1+it3, 0≤t≤1

Q: Find r'(t), r"(t), r(t) r"(t), and r(t) x r"(t). r(t) = 32²1 - 4tj + 12³k (a) r(t) (b) r"(t) (c)…

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Q: Find fx and fy for f(x,y) = y In (x + 8y). II

A: Step 1:​f(x,y)=yln(x+8y)​Step…

Q: What is T₂(x) centered at a = 3 for a function f(x) such that f(3) = 9, f '(3) = 8, f "(3) = 4, and…

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Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: If r(t) =  , find  r'(t), T(1), r''(t), and  r'(t) × r ''(t).

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) = 2t²1 - 4tj + ²t³k (a) r(t) (b) r"(t) (c)…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: For HEE EN x'(t) 10 0 ( 1) : х (0) у' (1) =| 0 1 -1 у (г) у (0) 1 z'(t) 0 1 1 z (t) z (0.) 1 Write y…

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Q: Find the functionr that satisfies the following conditions. r'(t) = (1,4t ,5t4); r(1) = (7, – 6, –…

A: Given that

Q: Find ¹₁ (5z + 2y)dA where D = {(2, y) | z² + y² ≤ 16, z ≥ 0}

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Q: f(t)=2t/ 2+sqrroot(t) f'(t) = ?

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Q: Evaluate (r(t) · r1 t))l-2 where r1(t) = (t³, t“, t³), r(2) = (0, 3, 1), and r' (2) = (2, 4, 5) 42 O…

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Q: Find fx and fy for f(x,y) = y In (x + 8y). II

A: To provide what is best and to understand more about the students concerns for their studies.

Q: Find F(t) knowing that F'(t) = (t²,4t³, -t²) and F(0) = (0,1,0).

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Q: Compute r"(t) and r"(t) for the following function. 2 r(t) = (8t +3,t+9,1) Find r'(t). r (t) =

A: We use power rule of differentiate to find the following values.

Q: Calculate r' (t) and T(t), where 88.8 r' (t) = ( T(t) = ( r(t) = (3t6,2 - 3t, 2t - 9).

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 2t²1 - 4tj + (a) r(t) (b) r"(t) (c)…

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). 1 t³ k 2 r(t) = 3t²1 – 3tj + 2 (a) r(t) (b) r"(t)…

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Q: Let r(t) =

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Q: Determine h(t) given that h'(t) = t4 – t3 + t² + t – 1

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Q: Let f(x, y) = vax?y? + by. Compute f,(c, d) for the following values: a = 9, b = 3, c =3, d = 2.…

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