1) y= sinx + 2 Vertical Shift: Phase Shift:

Q: y=cos-1(3x2+1)=arccos(3x2+1)

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Q: Calculate integration | cos -1 1 dx

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Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

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Q: dx (2) S V9-x² E(Ctrl) X. 2x sin-1(구)+ sin-1 (민 + Option 1 Option 2 2x cos-1(민 + c CoS Option 3

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Q: 7. Find the derivatives of y = cos- (sin(2x)) (show work)

A: Using derivatives of composite function. Or Using trigonometric transformation.

Q: In each question, draw the phase diagram (i.e. the graph with stationary points and arrows),…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Differentiate. y =  emx Cos nx

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Q: Ssin(2x)dx = cos(2x) + C cos(2x) 2cos(2x) cos(2x) + C O 2 cos(2x)+ C -

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Q: nasin(hx) cos(bx)dx

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Q: dx Use Gamma Function to evaluate /

A: Given: ∫0+∞e-x2 dx

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Integrate COs x dx

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Q: 5 sin“(3t) dt

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Q: cos 2y + 2x3 = 5 − 4y2ex

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Q: EXERCISE 1 dy -dx = 0

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Q: What is the line that corresponds to the phase shift of the function f(x)=tan (π/2 x−3π/2) +4?

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Q: x3sec2y dy/dx+3x2tan y=cos

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Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: Find the derivative. %3D cos~/tdt

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Q: b) Find if Scosy Vt3 + 5 dt + tany = x -sinx b) Find if S* Vt2 + 5 dt + siny = x – x°cosy dx2

A: Solve by differentiation

Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: Find the derivatives of Inverse trigonometric y = arctan (1+4x) у 3 arcsin (1-2x) у 3 arccos V1 -х

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Q: Integrate: | cos" z dx

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Q: The exact differential of excos y

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Q: If the graph of f(x) has a parent graph of y = sinx and a phase shift of 6. maximum value to the…

A: Given: y=sinx

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: 5. J sinx cos²x dx V1 − cosx -

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Q: Find the second derivative of y with respect to x from the parametric equation given; x =…

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Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: 11. Sketch the phase portrait and bifurcation diagram near = 3.

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Q: Integrate: / cos“ x dx

A: The given integral is: I=∫cos4x dx Reduction formula: ∫cosnx dx=1ncosn-1(x) sin(x)+n-1n∫cosn-2(x) dx

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: 2T sin (2) dydx 0,

A: To evaluate the double integral, ∫π2π∫0x3sinyxdydx.…

Q: find dy/dx if(cosx)y=(siny)x

A: Given: -

Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

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Q: Ssin^3 (2/3 x) cos^4 (2/3 x) dx

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Q: ( cos nx dx= [cos %3D nx cos nx dx 0. %D

A: We have to find the integral of cos2nx dx from 0 to 2pi.

Q: 2cosx dx Sr 1+(sinx)²

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Q: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: 1. Find y" when sinx + siny = 1.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: y = eVx+cosx

A: To  findderivative of1)y=ex2+cosx

Q: 1- Sinx + Cos2y=0 dy dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: х2 9 dy + sinx - у %3D0 dx

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Q: Exercises ESet 27 Implicit Diffexentia tion 2 1. Find dy if dX +Sinxy Find dy if 2x' 3y8 -2- dx2

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Q: Exercises ESet 23 Implicit Differentia tion 2 1. Find dy if y=x" +Sin xy 2- Find dy if dx2 3- Use…

A: Dear student, According to the bartleby guidelines, we are not allowed to solve more than one…

Q: 2. sin3x dx + 2y cos³3x dy = 0

A: Given- sin3xdx+2ycos33xdy=0 To Solve- The above differential equation.