1 What value of x will make sinx= :? (A) 4 (B 6 (c) none of the given choices D 3 (E

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

Q: sin xdx 3. S 7+cos? x

A: Given integral, ∫sinx dx7+cos2x

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a)

Q: 4. (a) (i) Without using a calculator, evaluate /2 sin 2.r cos x dx. (ii) Use the definitions of…

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Q: 3 sin° x -dx Evaluate ' cos° x

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Q: 13. Evaluate the function. Give the exact value. cos (tan (V3) -1 cos(arctan( v3% )= 0.5

A: We have to find out the value

Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: cos 2x sin'x dx can be evaluated by factoring sin x as (sin?x) 2sinx and transform sin?x into 1-…

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Q: Q3. Use substitution to show that x = n is a solution to the equation sin(x) – cos(x) = 1. Show your…

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Q: (a) Find S(tan x)dx (b) Evaluate i sin 3x cos 3x dx d (c) Find (2x sin 2x + cos 2x) and hence…

A: a) ∫tan2πx dxb) ∫π9π6sin3x cos3x dxc) ddx2xsin2x+cos2x and ∫0π4x cos2xdx

Q: 4. 2 sin e cos e - cos e 1- sin_e + sin?e- cos? e

A: (2sinΘcosΘ -cosΘ)/(1 - sinΘ +sin2Θ -cos2Θ ) (cosΘ)(2sinΘ -1)/(2sin2Θ  - sinΘ ) cosΘ(2sinΘ -1)/(sinΘ…

Q: cos*x If S(cos³x ·B) dx = + C, what is the B? 4 А. - sin x C. - COS X . 1 В. D. sec x CSCX

A: We have to find the value of B in the given question.  This question can be done by using…

Q: 5. gl1) = Cot3x ら。 -- HQ) = I+ Sin x 1- Sin X

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Q: gives a value of sinh x or cosh x. Use the definitions and the identity cosh2 x - sinh2 x = 1 to…

A: 1. Given: sinhx=-34 To find the values of the remaining five hyperbolic functions. Solution: We have…

Q: Using (11) and (12): 1 dx 1+ cos x tan +c

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Q: A. Bernoulli's Egquation 2. (3 tan X - 2 cos y) sec?xdx + tan x sin ydy - 0

A: Explanation The equation is in the form dydx+P(x)y=Q(x)yn is called the Bernoulli's equation Now we…

Q: sin2xdx 1) S7 o sin+x+cos4x

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Q: 1 what is sin(-x)? 7 Given that sin(x) =

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Q: (g) sin 3

A: To find the value of

Q: [cos x - sin x 0] cos x 1] 5. If f(x) = | sin x 0|, show that f (a)f(b) = f(a + b).

A: f(x)=cosx-sinx0sinxcosx0001

Q: I = cos? x sin x In(cos x)

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Q: c Functions. Prove the identity cosh x – sinh x = e x-

A: We have to show the given condition

Q: | sin'x cos' xdx = ? /12

A: Given,         ∫π2πsin5xcos3xdx

Q: a . Show that y = sin x, y = cos x, and y = a cos x + b sin x (a and b constants) all satisfy the…

A: a. Given

Q: cos*x If S(cos3x B) dx = - + C, what is the B? 4 A. - sin x С. - COSX . 1 D. 1 В. CSC X sec x

A:

Q: 5. What is the appropriate second equation to solve number 4? A: v,'sinx + v,'cosx = 0 v,'(-cosx) +…

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Q: Quizef in Iti x² COS X Aim Xー→0

A: Please rate  Limit problem... put x =0

Q: n(en sin-lx ) dx cos(sin -lx) +C Vī-x? 1–x2 A) True B False

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Q: 57. Extension of Example 8 Show that cos (x) is dx sin (x). 180

A: The objective is to show that ddxcosx° is -π180sinx°. The function cosx° is given in degrees bu the…

Q: sinx-1 10. Find cos x if --1. cosx a. -1 b. 2 с. 1 d. 0

A: Given: sin2 x-1cos x=-1

Q: I sin r cos xdx. 6. Evaluate sin ¹3 3

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Q: 1 COS 4 Now, differentiate f'(x) with respect to x. - 4 -x* sin(x4) f"(x) = -x°•si Submit Skip (you…

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Q: 三 hp x so da -e" (sin x + cos x cos2 (x) sin x O)-e" (sin x C UIS e2x (p et (sin x cos x +66 acer

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Q: domain of g(t)= sin(et-1)

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Q: 10. Solve the equation for x if 0 < x < 2n. 2 sin x - cot x = csC X

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Q: a) = Cos(x + a); prov

A: we have ,  sin(x-α)=cos(x+α)we have to prove that, tanx=1

Q: cos*x _8. If S(cos x B) dx = - +C, what is the B? A. - sin x C. COs X В. D. cscx secx Which

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Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: n/2 cos x esinx dx=? A) 1-e В -e с) e-1

A:

Q: 1IF Sine2-0.9, Find the valu e of Sino + Sin(e+2 + Sin(e+47

A: Our guidelines for multiple questions,answer only first question

Q: dx Example: Evaluate 3 + sin x + cos x

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Q: az Q1: Find ду if you know that: z = x³ y? tan(x-2e*y*)?

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Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: 3+(e*+3) sin x %3D tan(x³)-x

A: y=6x3+(ex+3)sinxtan(x3)-x

Q: 3) f(x) = cos (tan³(sin (x³))) %3D

A: Given, f(x)=cos5tan3sin2x5 now we apply chain rule to derivate ddxf(x)=ddxcos5tan3sin2x5

Q: 1 – 3 sin (x) 2 cos (x) dx. (Hint: start by rewriting the integrand function as 3 sin (x) 2 cos (x)…

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