The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O 0.67 O 0.75 O 1.5 O 1.8

Q: | (csc 0)(1 + sin? 0 + sin 0 cot? 0) d0

A: Integration can be done after simplifying up to the mark.

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: 3. xy' =y-xe/x ANS y =-x

A: To find out the solution of the differential equation.

Q: Problem 5 3 For the function f(x) on the interval [1, 5], answer the following questions:…

A: According to guidelines,  We must answer only 3 sub-parts of multipart question given. So I have…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: 1. a. Show that two lines with direction vectors d (2,3) and d, (6,-4) are perpendicular %3D b. Give…

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Q: To find a particular solution for 3y" +12y' +39y = e- 3r with the method of variation of parameters,…

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

Q: Let C(x)=x²+4x+1 dol 5

A: Given

Q: 2 | (csc 0)(1 + sin? 0 + sin 0 cot? 0) do

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Q: -2 Sx'V4 – x²dx

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Q: 1. Evaluate the following integrals. sc 8)(1+ sin² 0 + sin 0 cot? 0) d0 a.

A: Given: I=∫cscθ1+sin2θ+sinθcot2θdθ     Use the trigonometric identity; 1). sinx=1cscx 2).…

Q: 1. a. Show that two lines with direction vectors d, = (2,3) and d, = (6,-4) are perpendicular. %3!…

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Q: Pr. #3) Prove that the limit does not exist. cos(4ry)- 1 lim (x.v)-(0,0) 2r + 3y4

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

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Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77

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Q: 8. E(-1) is absolutely The series n=1 convergent. Select one: O True O False 3 \n The series - is…

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Q: Find all the second order partial derivatives of the given function. ​f(x,y)=xy2 + yex^2+5

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Q: x² – 4 For the function f(x) =- x' +3x – 4 a) Find the equation of the vertical asymptote(s) b)…

A: Solution is here

Q: Evaluate the definite integral using integration by parts. Do not use any other met od. You must…

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Q: Find the interval of convergence of the series E1 00 n=1 n8" O (-1, 1) O (-8, 8] O (-8, 8) O (-8, 8)…

A: We have to find out series

Q: Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below,…

A: Use the given substitution to find the new limits

Q: by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

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Q: 4. y = x, y = 2x, and x + y = 6 (Answer: 3 s. u.)

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given Data: fx=x2+ax+b

Q: d.x | – 2x² + 1 b.

A: To evaluate: I=∫x5x4-2x2+13dx

Q: Using Laplace transform to solve the IVP: y" – 9y = e *, y(0) = 0, /(0) = 0 %3D we find the solution…

A: The given IVP is y''-9y =e-3t,   y(0) =0, y'(0) =0 To solve the problem we must know the following…

Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: Solve the following initial-value problem. f′(x)=2 3√x+3x^2, f(0)=6

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Q: Using the Laplace transform to solve the IVP: y" - 4y = 4, y(0) = 0, y'(0) = 0 we get 4 Y(s) = s(s?…

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Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000

Q: Let p(x) be a polynomial of degree 3. Its derivatives, around the point æ = -5, are as follows:…

A: solution:-let p(x) be a polynomial of degree 3p(x)=ax3+bx2+cx+dwhere a,b,c &amp; d are parametersat…

Q: What are the local extreme values of the function f(x) = x' + 6x² + 2? a. None of these. O b. Local…

A: Use derivative for finding the local maxima and minima

Q: 29 – 44 dy 2+ 49 с.

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Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: Find the arc length when y = 2 ln(sin ) and /3 << x < T. %3D

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Q: Q1: To integratef 6x + 8 dx we substitute a)x = sec 0 + 3 b) x = tan 0 + 3 c)x sec 0-3 d) x 3sec 0…

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Q: ley'z ds, Cis the line segment from (3, 1, 2) to (1, 2, 5)

A: Given ∫c y2z ds Where c is the line segment from (3,1,2) to (1,2,5) Parameterize the line  r(t) =…

Q: cos 0 tan 0 + sin 0 Express as a single trigonometric function of 0. cos 0

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Q: etermine the absolute maximum and absolute minimum values of the function f(x)= x2 - 11x + 18, where…

A: Given: f(x)= x2 - 11x + 18

Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

Q: x²+3 Suppose y = and x = sin (u)ln (u) a. Determine dy using the first principles definition of a…

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

Q: Solve the system of equations (only real solutions) by the elimination method. Check your solutions.…

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Q: 3e" da V4-e2a

A: We have to find out the integral

Q: Given : v = (3t – x)e-2t Find atəx

A: