0Z for the function : a x Find x2 sin ( y ) + x e cos ( z? ) = 3 y - 6 z + 8

Q: So Jo (sin x + (sin x +4)² dx 0

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Q: S 2 cos x - 4 sec ²x dx

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Q: f(x csc² 6x - x cos 6x)dx

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Q: y= 12 cos(pi/5(x-6))+10 what is x when y=7

A: Given the equation :

Q: Juha For the function y=3 sin (2x-T/2) +4 .. * find f, g & h f P.

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Q: V3 sin(2r) = - Cos(2r)

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Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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

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Q: Cos(x+(4pi/3)

A: Cos(x+y) = Cos(x)*Cos(y) + Sin(x)*Sin(y) We have given  Cos(x+(4π/3)) = Cos(x)*Cos(4π/3) +…

Q: у ху X Sin X

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Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

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Q: 2-x Q.1 1 Write the function f (x) = =cosx+3x² as the sum of an even and odd functions.

A: To write the function as the sum of even and odd functions.

Q: For numbers 18-20 18. Given the function f(x) = cos(5x), 0<x<2n

A: f(x) = cos(5x) differentiation of function f'(x) = -5sin(5x)…

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: d 6. dx sine 1 sin(x²) (B) (D) – sint=") (A) – x sin(x²) (C) x sin(x²)

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Q: V2 and x = 150 15. If sin (x + y)

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Q: d 35 - Find dr15 (x sin x).

A: To find:

Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: 6. (a) 2 cos?t (b) 3 sin 2x

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Q: 5-2x dy if y = cos Find dx %3D 5+ 2x

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Q: Find the value of the expression: bain(z)-c.cos(z) fsin(z)-g.cos(z) to three decimal places for b=15…

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Q: cos(x) sin (x) dx 2 COS V1+ sin(x)

A: ∫cos(x) sin2(x)1+sin(x)dx

Q: (2 sin r - e) dr.

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Q: EX: using the relation I= Vn show that J1(x) = 2 sin x

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: