Missing x or y, Reduction of Order y"tan x-1= y', (cosx #0) Solution: Y =-x+C•cos.x+C,

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: x´ tanh x f (x)= tan -1 (x)%3Dtan 2 sin x+ coS X

A: This is a problem of Differential Calculus.

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

A: We have to find the limits .

Q: y" +y = 3 sin 21 +t cos 21

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Q: 1. y = 3 sin x – 4 cos x 2. y = x³ tan x 3. f(x) = cos x 1+sinx 4. y = csc x cot x f(x) cin?

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Q: y" + y = sec x tan x

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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: y=-sec^-2 (In x)

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Q: Secant method 3e-* -1 ACTIVITY #7: x² + 2x ; use interval [0,1] - cos?x

A: Given- x2 + 2x - 3e-x - 1cos2x; use interval 0, 1  To find- Find the root using the Secant Method

Q: 18. [ tan(In x)

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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: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: Integration of (Sin(x) + Cos(x))e^x is_

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Q: 5 sinz estion 4 (The Substitution Method for Definite Integrals). Calculate dr. (3+2 cos r)?

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Q: y= sin(x + 4) cos (x - 4) y= sec 4x + tan 4x y= Arctan

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

Q: The coefficient of sin'x in the antiderivative of F(x) = cs (use fraction form not decimal

A: This question can be solved using the concept of integration of trigonometric function.

Q: X - cOS X = 0, [0, Tt/2] %3D x- 0.8- 0.2 sin x = 0, [0, T/2] %3D

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3…

A: To find given integral.

Q: Find the value of* cos(x) sin (2x) lim sin(x) – 1 - O 0/0 4. O (intinity)

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Q: 1. If z=ln (x-y) +tan (x+y) find zxx and zyy

A: Given: z=lnx-y+tanx+y  ……1

Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

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Q: 7. y= (x²-1) sinh (x+1)ª 8. y= sech (1-x³) 9. y =- tanhx

A: Answer (7): The given function is y=x2-1sinhx+14 using product rule in differentiating above…

Q: Antiderivative of sec(3x)tan(3x)

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Q: ph of y = cos x from x = 0 to x = 27 by making a table using multiples of #/2 for x. y= cos x 2 EIN

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Q: cos(2x)– cosx sin x 4. lim, »o

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Q: cos cos 30 - cos 50 lim- 0>0 s 70 - cos 90 cos

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Q: 6. h(x) = 5x sin-1x 7. h(x) = tan x – tan-i x 8. h(x) = 3 sec-x 9. h(x) = 14 cot"x+ 12 cos-x 10.…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: Using integration by parts, | - | x sin(x²) dx x* cos(x²) dx = k – Then k is?

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Q: 9. S sec³ x tan x dx

A: Given ∫sec3xtanxdx We know that  ∫secx.tanx=secx + c ∫xndx=xn+1n+1+c

Q: Cycloid arch: x = a(0 – sin 0), y = a(1 cos 0) - -

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Q: sin 0 – cos 0 lim 0→x/4 tan0 – 1 2(cos x)2 + 3 cos x – 2 lim 2 cos x – 1 y In y – y lim y»e In(y5) –…

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Q: Sketch flx) = 2 cos x-Sin 2x , osx<2o

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Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –…

A: We have to choose correct option

Q: 3) Find the expention of sin³ 0 4) Proof that: cosh iz = cos z 5) Prove that: cosh² z - sinh²z = 1…

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Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: cos 2x - cos2a Integrate cos x-cosa

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Q: 3e" - 2 sec x tan x + cos x - 3 dx 1+x?

A: Given:

Q: Find generul solution ý +y tan (x) = see (X) - sec %3D

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Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: cos x -dx Compute the integral 1+(sin x)²

A: replace sinx=u cosxdx=du limits of u will be 0 to 1

Q: It tan(x) sec²(x)dx (a) Evaluate the integration by setting du = sec²(x)dx; (b) Evaluate the…

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Q: cos 3tdt 17. S- 1 sin 3t |sin² 3t-- 4

A: Topic = Integration

Q: cos x 13. lim x-(7/2)* 1 – sin x e21 – 1 15. lim - -0 sin t 1 - sin 0 17. lim 0/2 1 + cos 20

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Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a…

A: Given function is, f(x) = 10 cos x + 5 sin 2 x The function has its horizontal tangent when its…

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

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Q: Evaluate using Integration by Parts. cos(13x) dx (Express numbers in exact form. Use symbolic…

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Q: Differentiate. y = 3x2 cos x cot x y' = 6x cos (x)cot(x) + 3x2.-sin(x)cot(x)· csc2(x)

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