³ sin y - 3) = √10 ² Let f(x, y) dt 1 + cos² (t) 16 Then f (2, π/6)=

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A: Given

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Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

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A:

Q: Find f. f '(t) = 2 cos(t) + sec2(t),    −π/2 < t < π/2,    f(π/3) = 4

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Q: (cos y+ ycosx)dx + (sin x –xsin y)dy = o

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Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Let h(y) = 20 cos y – 3 sin y. Then h'(y) =

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Q: Find f. f "(t) = 8e + 8 sin t, f(0) = 0, f(n) = 0 8e' + 8 sin (t) + 8 – 5e" -t - 8 f(t) = | Need…

A: Solve intial value problem ( IVP)

Q: Q# (13 Rewrite: cos (x)sin(x)dx A) ſ u'du 1/2 B) Tu°du V312 C) [ -u°du 1 V3/2 D) [ u°du 1 V3/2 E)…

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Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

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Q: Find dy y= cof ( + tan)

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A:

Q: Let fla) =Sint () Find f'(a) Let fla)= sin (u4) , Find f'Ca) Find f'(a) ニ

A: We can make it easier for you

Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: 6) y = (sin¬1 8t) (sec -1 derive

A: First, we use the product rule

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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: 3 f(x, y) = x° sin(xe")+ xe

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Q: Find f. f '(t) = 2 cos t + sec?t, , -1/2 < t < «/2, _f(x/3) = 3 f(t) =

A: Given: The derivative function f'(t)=2cost+sec2t , -π2&lt;t&lt;π2 , fπ3=3. To find :  The function…

Q: Differentiate f (x) = (cos 3x)V* %3D

A: