dy If y = 9sin x then dx (a) (cosx) 9sin x (b) (In 9)9 sin x (c) 9sin x (d) (In 9)(cosx) 9sin x

Q: 4) | tan (x). sec(x) dx

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Q: 7) x sec (x)dx

A: We will solve the problem

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: P H2) = 3 (13) flx)- Sin () (x3-3x6x-8) 1. (15) Cos x %3D f66)=Sinx. +cosx 18 sinseti (19) 20)…

A: (1)f(x)=3xAs we know that domain is the set of possible input values shown on the x axiswhile range…

Q: Let y = cos(sin(90)). Then y" is equal to: Q8 -81 cos (90) cos(cos(90)) + 81 sin(90) sin(cos(90))…

A: Given query is to find the double derivative of the expression.

Q: cos 2x he ƒ -dx is 4+sin 2x {A} In|4 + sin 2x| + C {B} In|4 + sin 2x| + C {C}(4+sin 2x)² + C {D} -(4…

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Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: . Differentiate each function. a) y= cos'x b) y= sin(x³)

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Q: cos 2x 12) S 2cos2x sin x – sin x dx -

A: To integrate:∫cos2x2cos2xsinx-sinxdx Solution: ∫cos2x2cos2xsinx-sinxdx On simplifying further we…

Q: Let f(x)=sinx.When x=and dx=,then dy=? a) √2 b) cosxdx π+2 c) sin (+²) - sin() d) √2 √2 con()+sin()…

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Q: In * (X+2)7 (x+2)7

A: Note Hello experts!!! As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: 3+2cosx dx is equal to (2+3cosx) sin x 2 cosx 2+3cos x) 2+3sin x 2 cos x 2 sin x (d) 2+3cosx 2+3sin…

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Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If A A = = 3e³t sin(8t) 3e³t cos(8t) 3e²t cos(8t) -3e²¹ sin(8t) then

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Q: | sec(/I) tan(/) dr

A: We need to solve integral.

Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

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Q: Š 4 sin(3t) 2+ cos(3t) 7 sin(3t) + dt (2+ cos(3t))²

A: Definite integration

Q: dy 2 3 ...2 C05X +sinx...y.-(4x+5). y. ---

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Q: If () Z = tan || then 2z sin x 1+ z2

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Q: 6メ-8) - $(4)= =1 Cos x (8-x9- 15) %3D

A: Since in part 1st given equation has no rational roots so I will do 2nd question

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: t 3X +5) C

A: on doing integration we get

Q: Evaluate 4 fa²¹ t tan³ (x5) dx

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Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

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Q: 1 Evaluate – -dx 1+ 3sin"x + 8cos™x

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: 1+tanx b) 1-tanx = tan (x + ²)

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Q: 2 sin ( 1₂ ) cos (1/₂) = √2

A: We have to find the value of 2sinπ12cosπ12 Using double angle identity of Sine…