• tan°(x) Xp- cos“(x) 1 1 tan9

Q: A cost function and a revenue function for a certain manufactured good are given as C(q) = 6q + 320…

A: Break even point

Q: solle (1+ cos x) dx Sin²x dx (x-2)√√x² 4 X +3 1

A: The given integral is a complex integral involving trigonometric, polynomial, and radical functions.…

Q: 4x? )(i) Use the substitution x= tan e to show that sin? 20 dx. %3D (1+x*)' 4x2 (ii) Hence find in…

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Q: SS cos(x)esin(x)-2y dxdy

A: To evaluate the double integral, first find the integral with respect to x by substitution method.…

Q: cos( – x) + tan( – x)sin( – 2)

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Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

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Q: tan(0)=31/32

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Q: cos (E) U4+ tan(t)

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Q: 37/2 8 cos x dx T/2

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Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

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Q: f(x) =-3 sin 3. Determine the amplitude, period and phase shift of the graph of f(x) for - 2r sxs…

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Q: R/2 7 cos?(0) do

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Q: Evaluate cos¹ (5x) sin(5x)dx + C

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Q: x/2 sin3(0) cos (0) do

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Q: cos(sin−1(x) − tan−1(y))

A: Important points:  cos(A + B) = cos A. cos B - sin A. sin B sin(sin-1x) = xcos(cos-1x) =…

Q: Derive the formula tan¯¹(x) =_¹. dx 1+x²

A: Introduction: The derivative of a function is defined as the instantaneous rate of change of a…

Q: ∫sin5(6x)cos(6x)dx

A: ∫xn=xn+1n+1+C

Q: cos-1(x) dx

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Q: d(tan(x)) Using Euler’ formula, show that dx cos x 1.

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Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: •π/2 (cos x - sin x) dx

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Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 7/2 SAT sin" x cos3 x dx

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Q: 1 - cos x COs X 59. f(x) %3D

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Q: 8 cos5(α)/(sin(α))1/2 dα

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Q: 1/2 cos ¹ x dx

A: The integration of the integral is cos-1x, limit from 0 to 1/2.

Q: find dz/dx and dz/dy for the following expression z =  tan-1 [(x+y)/(1-xy)]

A: This question is based on diffrentiation of function.