L-'(1] (a) 8(t) (b) 1 (c) u(t) (d) Doesn't exist В D C A

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

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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: Find f '(2), where f (t) = ü(t) · i(t), ü(2) = (1,2,–1), ū'(2) = (3,0,4), and v(t) = (t, t?,t3).

A: To find out the f'(2)

Q: t3 – 1 – 2vt f(t) = -t5 7t3 – 9VE f'(t) : t6 2t3 – 5 – 9Vt - - f'(t) t6 9. © f'(t) - t6 © f'(t) = 9.…

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Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, -1), u'(3) = (5, 1, 4), and v(t) = (t, t², t³).…

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Q: The value of (i)" is = ..... O e^(-T/2) О e(п/2) O -T/2 Ο π/2

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Q: Differentiate f(t) = 5-7t+8

A: Given: It is given that the function is f(t)=5-7t+8. To find: The main aim is to find the derivative…

Q: poin If g(u) —D V9u + 3 then g' (u) =

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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: f(x, y) = x²/(1 + y²) (a) f(-5, 0) (b) f(14, 1) (-) (c) | (d) f(-8, y)

A: Put value of x and y in given equation.

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r'"(t). 5,3K r(t) = t²i - 4tj + 3. %3D (a) r'(t) (b)…

A: Vector

Q: Find r'(t), r"(t), r(t)•r"(t), and r'(t) × r'"(t). r(t)-흑러 - 26 + (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Solve the following differential equations. Express the solution of the given initial value problem…

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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: slove 8a'b 41. (а) (b) 2a b 5xy 42. (а) 2a b)-3 (b) a'b

A: 41. (a) We have to solve 8a3b-42a-5b5 Exponent law states that: (i) am×an=am+n (ii) aman=am-n…

Q: 1 Find the equations of the lines (i) - (x) in the diagrams below. ( (iv) (vi) vii) (vai)

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Q: ((x)d) (xA) ≤ ((k)b ^ (h).i ~) (hA) O ((x)d ~)(xA) ← ((h)b ~ \(h)i) (h=) O ((x)d ~)(xA) ← ((k)b v…

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Q: ^

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Q: T at = 8²T əx² with [B.C] T₂ (0,t)=0, T₂ (2,t) = 0 and [I.C.] 7(x,0)=f(x)

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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: Differentiate h(t) = (rª – 4)³(1³ + 4)ª. h'(t) =

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Q: r³ (x + 2) 6. Find f'(6) for f(x) = V (x + 3) Væ2 – 27 11 (a) 18 11 (b) 216 11

A: Some common derivative rules are, Also,

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: f(x) b-a dx = 2 Prove f(x)+f(a+b-x) a

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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: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 5t²i - 5tj + 3t³k 2 (a) r(t) (b) r"(t)…

A: Note: As per the guidelines, I have solved three sub-parts. If you want the solution to the last…

Q: Uto ulo,t) ищ, о иоса, с ut

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Q: 2. Find the inverse Laplace of the following functions using Convolution Integral. a) Leave your…

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Q: dF h(x) = x² + 5x – 1, g(-8) = 3, g'(-8) = –9, and F(x) = g(x)h(x). Find %3D dx

A: We know, ddx[u(x)v(x)]=v(x)ddx[u(x)]+u(x)ddx[v(x)]