Question 19 (2-sec?x) sec'x sec( 34 -x) e In (n/c) What should be the value of A for x to be integrable using the formula "du? 7 其 3. 一6

Q: Let 1(2) = sin(rz) (1- h)? + k :>: (a) Find values of h and k so that ƒ is a differentiable…

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Q: tan"x jun's de - | tan"-x dx (n 1) n- 1 tan x sec" r sec x dx (n 1) n- 1

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Q: Find the final amount of money in an account if $3,900$3,900 is deposited at 7%7% interest…

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Q: S(sec a tan x 5æ4)dx tan x + x +c - sec x + x' + c sec x – x5 + c sec x + x +c sec x – x + c

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Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

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Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: Consider a function f(x) where f" (x) = 2ª (ln 2)² + sin(-. -). 2 a) Find / f"(x) dæ. b) Assume that…

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Q: The function f, where f(x) = secx, has domain 0<x< and has inver %3D f-l, where f-(x) = sec-lx. Show…

A: The given function is f(x)=sec x and the inverse function is f-1(x)=sec-1x. To prove that…

Q: tan x – 2 f(x) sec x find f' (x). (1+2tan(x))/sec(x) Find f'(). (1+2tan(pi/6))/sec(pi/6)

A: To solve the derivative of the following function.

Q: f) y= xcos(xln x) g) y= 3(sin 2x – x* }** In. 3x'e** h) y= cosx

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Q: cot x tan' x +- 2 csc x secʻx -1 II

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Q: EX-15- Prove that : a) Sec-'x= Cos- ! b) Sin-' (-x)=-Sin-'x

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Q: Find derivative A) y=sin x/1-cos x B) p(x)= 3/1+10e^4x Simplify answer

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Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: S(csc x cot x + 7x°)dx sec x + x'+c csc x + x' +c - sec x + x' +c - sin x + x' + c csc x + x' +c

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Q: d 1 tan: dx n'x)= 1+x²

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Q: scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

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Q: The value of i log (x -i) + i? n + i³ log (x + i) + i* (2 tan-'x) where x > 0 and i = Fis

A: Introduction :

Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

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Q: Find a composite transformation matrix composed of elementary rotations, Rx(0), Ry(0), and Rz(0)…

A: Sol

Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

Q: Evaluate / tan*(x) sec*(x) dæ.

A: I=∫tan3(x)sec2(x)dxsubstitute  tanx=udiffrentiatesex2xdx=du

Q: I ' sec'r 1 + 2. sin'x 2. tan x

A: The given expression is  1/(sin2x) + sec2x/tan2x

Q: Question 3: \( f(x)=\frac{1}{x^4}.) a) Evaluate f(x) dx. -1 b) Find a value of f(x) dx.

A: I am attaching image so that you understand each and every step.

Q: | cot* xcsc' xdx x csc"

A: Let the given integral be y -y = ∫cot4xcsc4xdxy = ∫cot4xcsc2xcsc2xdxy = ∫cot4x1+cot2xcsc2xdx…