Q#3 When it is best to use Ration Test, Root Test give examples along with explanation to justify your answers.

Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

A: Introduction: The formula of washer method to find the volume of the solid is given by, V=π∫abR2-r2d...

Q: OLif f(x, y,z)=2exp(-5xyz)cos(15z) Find

A: Partial derivatives

Q: Let P = (5, 2, 2), P2 = (1, –2, 0), P3 = (4, 3,0) be points in R. Find the general equation of the p...

A: Introduction: A plane is a three dimensional figure that is represented by the equation  ax+by+cz+d=...

Q: prelative to the basis S=(P. P2. P3) for P2. p = 20 - 30x +25x; P, = 5, p, = 5x, ps = 5x. %3D %3D %3...

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Q: =a /2[1+3cose +3cos20 + cos*0 -1] cosed0.. %3D ... .... (32+15x) 24 %3D

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Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

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Q: Let

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Q: Given the following set of series, solve if they are ABSOLUTELY CONVERGENT, CONDITIONALLY CONVERGENT...

A: Convergence of the series and interval of convergence

Q: Are the following statements True or False? Input T for true and F for false. (a) If A-1 is invertib...

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Q: nd a pa CUlal solu on yp y"-y'-6y 3 cos 3x A particular solution is y, (x)=.

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Q: What is the kernel of Laplace Transform? O e^(-jwt) O e^(jwt) e^(-st). e^(st) Which of the following...

A: There are multiple of questiona, one from laplace transform,secont from real analysis and third from...

Q: u:(x, t) = Uzz(x, t) u(0, t) = u(1,t) = 0 u(x,0) = f(x)

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Q: G = {a | a EN and 116 < a < 122} Use the roster method to list the elements in the set G. If the set...

A: Solution

Q: 1. Find the surface area of the region S in the plane z = 3x + 2y such that 0 <x < 10 and 0 < y < 20...

A: We have to find the surface area of the region S in the plane z = 3x + 2y such that 0&lt;=x&lt;=10 a...

Q: Find the standard matrix of the linear transformation from R2 to R2 that first performs a vertical s...

A: Given ℝ2 is vector space over ℝ and standard basis of ℝ2 is e1=1, 0, e2=0, 1 Here given T:ℝ2→ℝ2 is a...

Q: a) Prove that S is a subspace of R', find the dimension and two basis B1 and B2; 1. Consider the set...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: dy + (cos x)y = sin(x²) dx 11. sin x dy – 4y = x*e* 12. x dx

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Q: x³ +x² +x+7 x² – 1

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Q: 55

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Q: Express the function in unit step and find the Laplace: (-10 0 n

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Q: 5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to s...

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Q: consider the points A(3,-3, 3), B(4, -5,1), C(-2,-4,1), D (6,3,-5) (a) Find the volume of the parall...

A: We have to find the volume of parallelepiped.

Q: Question: Write a Python program to construct Newton's Divided difference interpolating polynomial t...

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Q: -1 a) Find the largest eigen value of an orthogonal matrix of Q = 1 -1 2

A: Solution 

Q: Based from a study to a certain player using Ald in Rank Game, the No. of Stack collected by the her...

A: The Lagrange's interpolation formula is given by  fx=x-x1x-x2x-x3x-x4x0-x1x0-x2x0-x3x0-x4y0+x-x0x-x2...

Q: Prove that f(z)=|z| is nowhere differentiable in C but is continuous everywhere.

A: Given function is fz=z. We have to prove that the function fz is nowhere differentiable in C but is ...

Q: Determine whether the Series is absi utely convergent, ordinergent 52ょ2n+3

A: Given series is ∑n=1∞-1n n2 +2n+35n3 +n+1 This is alternating series. Take an= -1n n2 +2n+35n3 +n+1

Q: 1 2 A = 2 4 -2 -4 Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) = dim(Im(A)) = O...

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Q: Let f(x) = x +6.4x. We will use the interval bisection method to find an approximate solution to f(x...

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Q: P- Solue Homogeneous u coit) = 0 u (loit)=0 Ux =4 UxX らo o(Xくら )いしx 5くXくlo

A: Given PDE is ut=4uxx       (1) with initial and boundary condition u(0,t)=0 u(10,t)=0 and  u(x,0)=f(...

Q: 1. Give an example of mathematical model that is used in Agriculture. And explain these: a. How is ...

A: To give an example of mathematical model that is used in Agriculture.

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: Find the root of f(x) = (x – 4)° (x + 2)= 0, using the initial guesses of x = -2.5 and x, = -1.0, an...

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Q: A spinner with 10 equally sized slices is shown below. (3 sices are blue, 2 are red, and 5 are yello...

A: Let A be the event "The dial stops on a blue slice" and B be the event "The dial stops on a red slic...

Q: 4y 6. Consider the solution to the differential equation y' with y(1) = 1. 3x %3D (a) Apply Euler's ...

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Q: Find the Laplace transform of tet-1u(t-1)

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Q: How did it became 10pi/27 from the equation encircled?

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Q: Find the Laplace transform of sinh3 4t

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Q: If f(x,y,z)=exp(3x)cos(-4yz), find Vf. %3D

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Q: (-1)*k 42. k4 + 1 k=1

A: Reminder theorem

Q: Solve the following recurrence: an = 2an-1+ 3an-2, a1=1, a2=11

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Q: Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0), (1/...

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Q: Are the following statements True or False? Input T for true and F for false. (a) If A-1 is invertib...

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Q: I. For the given vectors i and v , find the value of u · v and normalize = (3,–1,9, –10) 2. й 3D (3,...

A: 1. Given u→ = (2, 7, -1, 20)v→ = (3, -1, 9, -10)Sou→.v→ = (2, 7, -1, 20)·(3, -1, 9, -10)        = 6 ...

Q: a. Write the equation of the line that represents the linear approximation to the following function...

A: Given that  Function f(x) =x/(x+2)  To find the linear approximation

Q: Determine In(-4j). O In(4) - j(90) O In(4) -j(z/4) O In(4) - j(7/2) In(4) + j(7/2) What is the third...

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Q: II. Determine whether or not the following sets of vectors {u , v , w} are both orthogonal and ortho...

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Q: Write, but do not evaluate, an integral expression that gives the volume of the solid generated by r...

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Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = x, y= ...

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

Q: dx to

A: Given: ∫84x2+12dx To evaluate: The given integral.