Select everything below which is POSSIBLE; don't select anything IMPOSSIBLE OA number xr where sin(x) = -1 O A number x where sec(x) = -2.15 OA number x where sinx = -0.5 O a number x where cos- (x) = 3x O a number x where cos (cos (x)) = x %3D Oa number x where sin (sin(x)) # x

Q: Integration techniques: Use whatever method you like to solveeach of the given definite and…

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Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. 2 = %3D

A: Given,  sinhθ = 32  We have to find coshθ, tanhθ  and  cothθ.

Q: Use a computer algebra system to analyze the function over the given interval.…

A: Consider the provided question, Analyzing the given function over the given interval using computer…

Q: d) lime tan 0 sin 0 3. e) lim0 sin z-cos z+1 3z

A: We have to find the limits .

Q: Evaluate the integrals

A: We have to evaluate the given integrals .

Q: Use integration by parts to evaluate 2x cos (x) dx -x?cos (x) +c - 2x cos (x) + 2sin(x) +c x?sin (x)…

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Q: Evaluate sin(x+y)-cos(x+y)=1

A: Given: sinx+y-cosx+y=1 Dividing both sides by 2, we get  12sinx+y-12cosx+y=12

Q: 2. True or False. The dx [Arctan(tan x)] = 1 for all x in the domain. ans. True

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Q: (2 cos z-sin z)² dx Evaluate sin z

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Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

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Q: J 1 cot³ x O 3 2 dx = In | sec² x − 1| + C --- O 1 tan² x + ln | sec x + C 4 O 1 2 O 1 2 1…

A: I have stated the used formulas in the solution

Q: 3 The range of y = sin x is _______. -1 < x < 1 -1 < y < 1 y ≥ 0 y ≤ 0

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Q: In the interval [0, pi], find the absolute extrema of: g(x) = ex sin x - sin x + cos x

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Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: Evaluate S sin“ (x) dx 4 Select one: -cos (x) sin(æ) +(x – sin(2a)) + C None of these 글sin'(2)…

A: ∫sin4x dx = ∫(sin2x)2 dx We have cos 2x = 1-2sin2x2sin2x = 1-cos 2xsin2x=1-cos 2x2

Q: Find ƒ”(x)  for function. Then find ƒ”(0)  and ƒ”(2) . ƒ(x) = cos(x3)

A: given fx=cosx3

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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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: sin.x 14. What is y" if y=1-cosx A) y'= B) y'= -COS.X (1 – cosx)? sinx (1-cos.x)² C) y'= D) y'=…

A: Given: y=sinx1-cosx We have to find y''.

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

A: We have to show the given condition

Q: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

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Q: 11. Find if y= cos(x) A. 2x sin(x) B. -x sin(r) 12. Differentiate: y=x cscx A. y' = cscx(1+x cot x)…

A: we have to differentiate the given equation . y=ex3

Q: S cosx. sin“x. dx = cos³x + C sinx + C O None O sin*x 4 + C

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Q: (1) (sinz) + (cosr)* sin x COS x (2) tan x in terms of sin x, cos x %3D d. d. ( sin x COS X %3D dx…

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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: 22. y' = 1 + 3y tan x. ANS. 3y cos³ x = c + 3 sin x – sin³ x.

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Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: (x² +1)Z. tan-1(sin 2x) Q2/ B/Find dy if у 3 dx (x2 +4)3 . sin-32x

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Q: 4. Express the function f(x) = 11 sin x +7 cos x as a function in terms of sine. Express your answer…

A: To find 11sinx+7cosx in terms of sine function only.

Q: sin(bx)+a x<0 f(x)=< | sin (2x)+2x x20 which is differentiable everywhere, then what are values of a…

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Q: 6. Approximate the real root of x – cosx = 0 to three decimal places. Let xo = 0.8 and find x1, x2,…

A: Let f(x) = x - cos(x) x0 = 0.8 By using the Newton-Raphson method to approximate the root,…

Q: 0 < x < 2 2 < x < 3. Justify your answer. 9. Evaluate , g(x)dx when g(x) = { sin (7x), 8 + 2x – x²,…

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Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

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Q: et +e» et Рe-* cosh(x) sinh(x) 2

A: Given that:- coshx=ex+e-x2 sinh(x)=ex-e-x2

Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

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Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: 6. sin x (1 + sin x cos x) dx y csc² ( tan (y²)) dy 7. cos²(y²) sec (11w) tan (11w) V (2 – sec…

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Q: y = Arccot (cosx ) ; y' ' O sin x/ (1+ sin*2 (x) ) ) - sin x / (1+ sin^2 (x) ) ) sin x/ sqrt (1-…

A: Given y=cot-1cosx We will find y'that is the derivative of y. Chain Rule: If y=fgx, then y'=f'gx·g'x

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

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Q: solve eYsin(x) -y'cos"x = 0 2. cos¯x=0

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Q: 43.) f(x) = sin'x Hint: Use sin'x =}(1- cos 2.x).] %3D %3D

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Q: 2x² sin (x²)dx = V(1-x*) Select one: a. - sin-(x²) cos(sin(x²)) + x² + C b. - cot-(x?) sec(sin-(x²))…

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Q: Differentiate the function. f(x) = = 13 sinh (x) Give your answer in exact form. f'(x) = Incorrect…

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Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: f(x) = 4 sin(x) + 4 cos(x),    0 ≤ x ≤ 2? Find the local

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Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: y = arctan dy Calculate da Type sin(x) for sin(x), cos(x) for cos (2), and so on. Use x^2 for a",…

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Q: (x²c ?cosh(sin(x - ): x-w)= – y)) = (x² cosh(sin(x v+coshz ôvôz

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Q: at y = ". For cos x – sin y=-, find the value of so that ky'"=-1 at y="

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Q: S [tan® x sec6 x + cos“ x sin“ x + sin* x] dx

A: Given that: (tan8xsec6x + cos6xsin4x+sin4x) we solve this integration by using general formulas of…