Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c) x3 sec + 5x4 sec x³ sin 5x cos x + 3x sin2 5x

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

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Q: 6. sec (sin-1 x)

A: Interconversion

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Q: S 1 dx = (x² + 1)(1 – sec(tan-1 x)) Select one: а. 1 -x + (sin(cos-1x)) b. 1 -tan(cot-1x) +…

A: Hence option (d) is correct .

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

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A: Use trigonometric rations

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Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: sin(π ) ,…

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Q: 9. f(0) = (0 cos 0) sin 0

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Q: if Sec X = 2 then tanx +Cos X =

A:

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: V. Find the third derivative: 1) y = 10 tan(x) - 2 cot(x) 2) y = x³ - x² sin (x) 1 3) y = 2 sin(x)-4…

A: The given problem is to find the 3rd derivative of the given functions.

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Q: Evaluate OI 4 sin ³x dx sin*x + C -sin¹x + C +cos³x + C -cost + +C cost --cos³x + C

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Q: Q1) Find the first derivative of the following equations: y = x'V

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Q: (12) ſ sin²x cos²x dx sin4x sin4x 8. 4 16 Option 1 Option 2 sin2x - 8. Option 3

A: