Which of the following trigonometric equations has a phase shift of 1/3 to the right? Oy = cos(x + T1/3) Oy = cos(3x - TI) y = cos(x - 3 71)

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Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

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Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 a...

A: To

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Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: Find the Domain of y=J Tx-31 (x¢4/

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Q: 2.b) Eliminate the Arbitrary Constants in the equation: * x²y = 4 + Cy x?y = 4 + y' x?y" = -4y O b. ...

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Q: Choose the correct graph of y = 3 cos 3x, 0 < x< 2 T: 1 3 27 -1 -2

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Q: Solve using homogeneous differential equation y'dx- (xy + y° kty = 0 Let the substitution y=? 2; y=v...

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Q: . Find the period and phase shift of each of 1 a) y = - cot(6x – 4) 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: x^2y=4+Cy Eliminate Arbitrary Constant

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for ƒ(x) = 22 sin(x), a = (Expres...

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Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: 4922 – 75x – 19 – 4x Find the limit, if it exists: (Do not use L'Hospital's rule) lim x-00 86x + 7 N...

A: Here we have to find the limit.

Q: A. converges B. diverges

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Q: x'dy+(2xy – y² )dx = 0 Let the substitution y= y=vx; dy= vdx + xdv

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Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one que...

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Q: 3sin4t di 5(1– 3cos21)

A: To solve the integration. 

Q: Vh+ 256 – 16 Find the limit, if it exists: (Do not use L'Hospital's rule) lim h

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Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

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Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x  

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

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Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where appropr...

A: Given, f(x)=5x+87x+7

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: Evaluate f (5+ln æ)? -dx. Give your answer as a simplified fraction if necessary. The value of the d...

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Q: 7 The amplitude of y = 6 sin x is (if none, choose "none") 2 pi none 6

A: Given :   y = 6 sin x 

Q: Prove the identity 1÷(1-sinx) =sec^2 x +tanx secx

A: 1(1-sinx)=sec2x+tanxsecx

Q: Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the inter...

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Q: y°dx-(xy + y° \dy = 0 Let the substitution v=2; y=Vx; dy=vdx+ xdv

A: y2dx=xy+y2dy

Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: Do the following tasks using Mathematica. Given, f(x) + x? g(x) = T sin(x) %3D (a) Plot the above fu...

A: Given functions: fx=xx+x2gx=πsinx Formulas used: ∫xndx=xn+1n+1∫sinxdx=-cosxx=x,       x≥0-x,     x&l...

Q: Write clear and detailed solutions for each problem. 1. Determine the amplitude, period, vertical sh...

A: NOTE: Refresh your page if you can't see any equations. . let the function is in the form of as we ...

Q: (x² – 1 Given: f(x) = {2x – 1 if 0 5 3.

A: Topic = Functions

Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...

Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *...

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Q: f (t) = 3 (t + 1) H (t – 1) |

A: Solution ) f ( t ) = 3 ( t  + 1 ) H ( t - 1 ) Formula  [ L g(t) H ( t - a ) = e-asL{ g( t + a ) } a ...

Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv

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Q: 213 +1 dt 3 (* +2) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: Find the derivative of the function. f(t) = (4t2 − 6t + 7)3⁄2

A: Topic:- derivatives

Q: [10] Find y' of arcsin x/y + arccos y/x = 1

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Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...

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Q: Agree. Disagree 1. Is it correct to say that we can only get an estimate of a limit? Why do You say ...

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Q: Finding the area of a surface of revolution. Area of a surface of revolution for y = f(x). Let f(z) ...

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