Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y -axis.

Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = - 4 t to x 4 T.

A: fourier series

Q: (x/2 log (a cos 0+6° sin 8) de log atb),a>0, b>0.

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Q: Use Green's function to solve: y" – 4y' + 3y = ex, y(0) = 1, y'(0) = %3D

A: Introduction: Green's function is another method to solve an initial value problem. Green's function…

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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Q: Find the lateral and total surface area of each pyramid. Round to the nea 1 15 ft 10 ft

A: It is given that ; The length of the base = 10 ft The slant height = 15 ft We have to find the…

Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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

Q: Estimate f(−1.99,−1.03) given that f(−2,−1)=−3, fx(−2,−1)=4, and fy(−2,−1)=1.

A: The given problem is to estimate the value of f(-1.99,-1.03) from the given functional values. Given…

Q: Let vn = be the solution to the discrete dynamical system: Yn 6xn – 13yn Yn+1 = 0xn – 7yn Xn+1 -3 If…

A: Using diagonalisation of the coefficients matrix.

Q: Suppose you estimate the area under the graph of f(x) = + from x = 15 to x = 115 by adding the areas…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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Q: ......... Determine whether the set, together with the indicated operations, is a vector space. If…

A: S = {(x,y) : x≥0, y is a real number} Let (x1,y1), (x2,y2) € S  =&gt; x1,x2 ≥ 0, y1 , y2 is real…

Q: In Problems 1-6, find all values of the given complex power. 1. (-1)* 3. (1+i)'-i 2. 32i/T 4.…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: Find the Fourier series expansion of the periodic function of period 2 t f (x) = x, -n<x<n 1 Hence,…

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Q: Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are…

A: Given:  C=70,000+30x, R=200x−x220,P=R−C, where the production output in 1 week is x calculators. To…

Q: 4. Find the Linearization of f (x) sinx at a Provide your answer as L(x) =?

A: The given problem is to find the linearization of the given function at given point. Given…

Q: How to convince someone that the number 10 is not prime.

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Q: Sketch the graph whose incidence matric, C, is given below. Then verify that L = CC^T, where L is…

A: Given: C=-10110001-10011-10010000-1-1-1 To sketch: Graph whose incidence matrix is C.

Q: 1- cos t Find the Laplace transform of

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Q: Exercise 4: Solve the heat equation on the square [0, 7] × [0, T] subject to the following bound-…

A: The given problem is to solve the given two dimensional heat equation partial differential equation…

Q: 3.48. Find the Laplace transform of x(1)=(e" cos 2r – Se *ju(1) +*u(-1)

A: The given problem is to find the Laplace transform of the given time function. Given…

Q: a) Prove that the Maclaurin series expansion is a special case of the Taylor series expansion with x…

A: To find the Taylor series expansion of a function fx at xi+1=xi+h and the error, use the following…

Q: 21. ds: C is the quarter-circle r(t) = (2 cos t, 2 sin t), for 0SIST/2.

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Q: 20 A linear programming model has an objective function, M = 3x + 4y. Which of the following ordered…

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Q: Let in = be the solution to the discrete dynamical system Yn Xn+1 6xn – 13yn - Yn+1 = 0xn - [:] -3…

A: Given that, xn+1=6xn-13yn             (1)yn+1=0xn-7yn               (2) and  v0→=-3-1, i.e⇒x0=-3,…

Q: For the slope field shown, which could be a family of anti-derivatives?

A: To determine which of the equation is a family of antiderivatives for the given slope field.

Q: Which of the following statements is false? Oa. 2 is a divergent series i=1 O b. i+1 00 Oc. is a…

A: 1. Let ai = 1 bi = 1 then ∑i=1∞aibi = 1 + 1 + 1 + ... = ∞ and ∑i=1∞ai∑i=1∞bi = 1+1+1+...1+1+1+... =…

Q: H.W:- Used Cramer's Rule to find the value of the variables in the following equations - 4x + 2y -…

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Q: Q1/ (Qti.) is sub field of (Rit,.) O (nFi) is a sub of f. © (UFi) ia suboff.

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Q: The grid below shows the point 4(8, 2). Find its image point after a reflection in cach of the…

A: 1. Now we shall determine the point after reflection in x axis. Given point is (8,2) Therefore after…

Q: Consider the vectors: Vi = (2,0,0,-2), |V2 = (-14,–7,-12,54, V3 = (0,1 1 -6) V4 =…

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

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Q: Find the interval of convergence of 7" Σ (2n + 1)! n=0 (Give your answer as an interval in the form…

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Q: Use an area model to prove that 7 is not a factor of 30. Explain the process

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Q: If U(x, y) = -e-Y sin x andf(z) = U(x, y) + iV(x, y) is analytic, then f(z) = %3D O None of them…

A: Solution

Q: Find the shortest distance between the following lines.

A: Given, the lines                l1: x-9-14=y-9-1=z3l2: x-48=y+24; z=1

Q: %3D Here is a graph of the function f defined by f(x) = a(b)*. Select all possible values of b. A. 0…

A: Given: There is graph with downword exponential.

Q: - Use Newton-Raphson method to solve the system x + y-1 0 y3 - x +1 = 0 with the starting value…

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Q: 3. Let the function f :R →Rbe defined as follows: [3x–1 if x> 3 f (x)={x² – 2 if -2<x<3 2x+3 ifx<-2…

A: Given f(x) = 3x-1ifx&gt;3x2-2if-2≤x≤32x+3ifx&lt;-2

Q: التاريخ Hw/ f(X)=! メー24 Sotveby lincar メモニ4 interpatotion-

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Q: Consider the general 2 × 2 linear system. ax + by = u сх + dy = V Assume that a unique solution…

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Q: The function f(x, y) = (x + y)* – 2² - y? - 6xy | has stationary points at some of the following…

A: We have to find the local maxima, minima and saddle point.

Q: 10 8. 9,

A: the rise and run are marked as follows

Q: Exercise 3: Solve the heat equation on the square [0, 7] × [0, 71] subject to the following bound-…

A: The given problem is to solve the given 2 dimensional heat equation partial differential equation…

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

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Q: Disjunctive Syllogism It is raining or I will go jogging. It is not raining. .. I will go jogging.…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Consider the following system of differential equation, with time domain t E (0, 1): r" = = -r' -…

A: The system of differential equations is given as follows: x''=-x'-e-ty'=xyx0=0x'0=0y0=0 We are asked…

Q: 2. Write all formula's you have learned to calculate curvature.

A: We have to write all formula for curvature.

Q: Q4/ Revers the order of the following integral: y f(x,y)dx dy 6-y

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Q: 22. Consider the vectors: Vi = (2,0,0, – 2), |V2 = (– 14, –7,–12,54, V3 = (0, 1, 1 -6) V4 =…

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