dy Q8. Find for the following: dx y = In (3 – 4 cos x) b. у %3D (4х — 5)

Q: 5. Find : 60 y= (b) y = cos (11x³ + 5x). dx

A: SOLUTION-

Q: 22-4 The value of lim is x-2 x2+4 O 1 O -1/2 -1

A: Limit of the given function can be computed directly as the function doesnt have any discontinuity…

Q: dy in each of the following functions : dx EX-11- Find b) y = sin *-1 x +1

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Q: Apply the Gram-Schmidt Process to the basis B to obtain an orthogonal basis for the inner product…

A: The given basis are B=1, 1+x, 1+x+x2 on the vector space V=P2ℝ. We have to find the orthogonal basis…

Q: dx = cosx cos²t dt

A: dxdt=cosx cos2t On simplification, we get dxcosx=cos2t dt

Q: Homework I. Find dy/dx of the following: 4. y=V1+In²x 5. y= sin (In.x) 6. y = In(Inx)

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Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

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Q: In each part, determine whether the two pictures represent the same isomorphism class of graphs. If…

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Q: /2 x cos x dy dx : %3D 0 0 а. О b. 2 C. -1 d. 1

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: N/W 00 x9 ex, 3. .a O 16 3 IT bC 4 .cO 3

A:

Q: dy Find xp x/3 y = cos () dt CoS

A: Given : y = ∫x3π3cost3dt

Q: dy - y cos x dx = y ln [yedk COS x]

A:

Q: (sin x +cos *)dx= O a. 1 O b. 2 O c. -2 O d. 0

A: To evaluate ∫0π2sin x + cos x dx

Q: |x cos x dx: %3D O a. 1 O b. 0 O c. -2 O d. -1

A: Given :                 ∫0π x cos x dx

Q: dy IN QUESTIONS 1-13, FIND dx' 6. у%3

A:

Q: D. у %3D cos(x7 —6)5

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Q: cos x dy dx - 0 0 а. 1 b. 0 С. 2 d. -1

A: First integrate w.r.t. y and then x

Q: - x cos x

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Q: (b) Find, where y= cos ecx- dx -4x+7

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Q: d²y for 15 = cos x Find dx? cos x + a°y?

A: We need to find d2ydx2 for 15=cos x+x3y2. Let us differentiate both sides.                    0=-sin…

Q: 1. Find for the following functions : dx 4i) y-bmcx* +2y}kos x (ans.: 4x.cos x - 2 In( x² + 2 )sin x…

A: To find the dy/dx of  y=[ln(x²+2)²]cosx