r(x) = cot2(3x² +1) Select the correct response:

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: Find the general solution of y' = y secx

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Q: 2. -1z"cosdz zl=1

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Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

Q: dx √ 1 + x² Using three point Gaussian quadrature formula, evaluate

A: Please find step by step answer below:

Q: If y2 is negative, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: If y2  is negative, then y1+y2  will lie _______ y1  by a distance equal to ____.

Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: 18. V1+x dx 1-X

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Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: f(x, y) = 2x – x² – y? %3D -

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

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: 4-x III. Evaluate dx. V16-x2

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

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Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: Q2. Solve the DE. y"" = x2sinx 1. by using inverse operator method. 2. by using variation of…

A: As per bartleby guidelines for more than one questions asked, only one questions is to be answered,…

Q: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: gA y = 2sgn(x+2) san • %3D

A:

Q: (y + 5 y³) dx

A: To differentiate(1y2-3y4)(y+5y3)

Q: If y = sech (kxN) and (1-289 x26 ) (y')² = A Then A =.....

A: We know ddxsech-1x=-1x1-x2 By chain rule ddxsech-1f(x)=-f'(x)f(x)1-{f(x)}2

Q: G of value raph using tables Y=Dx²-9

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Q: dx (x-2)V4x²-16 is equal to 2 - -1 + C 4 sec

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Q: If y = (x+1)/(2x - root x' then y' will be?

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Q: +y ntegral %% 0 0

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Q: a. (t-e-4t)² sec²4t -tan 4t]

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Q: 8r2 te V1-4.a

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Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: sec(r) dx (x2 – 3x + 4, d

A: The given differential equation is ddxsecxx2-3x+4. Here we use the differential formulas:…

Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: Q3) a) find f sec³ x dx

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Q: 8.) Find of y3 = x* + 3x d?y dx2

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Q: f Srwdx= 10 and [ f(4 – x)dx=? f(x)dx=3, then

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Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Find and in terms of t. dx2 x= -9 sint, y = cost dx dx2

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Q: dx Use a trig substitution to evaluate x³ Vx² x > 1. 1 6. -

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Q: Use the trapezoidal rule to evaluate ,2 2х dx % x² +1

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Q: V2 Solve using trigonometric substitution f," dx x2V4-x2

A: This question can be solved by substituting x=2sinθ

Q: 4. y = vx + 2 x,for-

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Q: Solve t-r sec'y= 2g tan y,

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Q: Evaluate f dx (x²+4)²

A: Given problem:-

Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: Solve for y when x=o degrees: y=2sinx

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Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

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Q: find k value dx = 1

A: We need to find the value of k of the following relation.                 So,…

Q: Q4) find the soluation of differention equation using exact equation

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Q: Solve for the domain and range of. f(x,y,z) = V4-x2-y?

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Q: "+y = sec³ x

A: