Which of the following sequences is arithmetic? none of these options 99, 132, 165, 198, 264 233, 447, 661, 875, 1089 129, 3999, 123969, 3843039, 119134209, 114487974849, 3549127220 194, 431, 668, 1142, 1379, 1616 145, 2755, 52345, 994555, 18896545, 359034355, 6821652745, 129611 11, 303, 595, 887, 1471 97, 176, 334, 413, 492, 571

Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: Determine if the following series converges or diverges. *n' + 3n? + 5 4 a. 5n6 — Зп - 4 n=1

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Q: Use variation of parameters to solve the given nonhomogeneous system. X' X - -7t e X(t)

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Q: Question 1 Consider the following IVP: y"-2y'= -4; y(0) = 0, y'(0) = 4 Find the general solution. A…

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Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A: The graph of the function f(x) is the collection of ordered pair of points (x,y) in the cartesian…

Q: d²y What is the general solution to the differential equation + y = 0 ? dx² у%3D 3x? + Ах + В y =…

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Q: Find the sum, if it exists, of the given series: 1 2"+1 (n + 1)! n=0 2 e – 1 e 1

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Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: A professional organization is planning a conference and needs to choose one of the following…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub parts at a…

Q: (a) Define Euler's -function.

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Q: Which of the following definitions for the relation R (defined below) on A would constitute an…

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Q: In the Laurent expansion of f(z) = valid in the region 1 < [z| < (:-1)(=-2) 2, the co-efficient of -…

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Q: Let fcx)=X,XE [ar} Shaw that fe Riemann Loll and find Sede

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Q: Let f (x) = e4x. Find p3(2), the value at x = 2 of the third Taylor polynomial about 0, and r3(2),…

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Q: Let C be the parametric curve defined by (x(t) = t2 – t – 2, 1 y(t) = t³ – t² + t. Determine if C is…

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Q: 2x y'' – 3y' – 10y = 7e y(0) = 1, y'(0) = - 17 - %3D %3D

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Q: Use variation of parameters to solve the given nonhomogeneous system. dx 2х - у dt dy Зх - 2у + 5t…

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Q: Vater fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). sr(t) dt…

A: Given that Water fills a bathtub at a rate of r(t) liters per minutes where t is the time.

Q: Find the solution. dy x-+5y =2r?y4 dx (A y = 13 2+cx !5 6 B y = -x+ cr13 15 cy- 13 D y = 23 -2- cx 5

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Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: What value of x is in the solution set of 2x – 3 > 11 – 5x

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Q: 5. Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + 2² - 8r + 12y – 2z…

A: (a) The given graph is a sphere. This graph does not pass through the XY plane, YZ plane and the XZ…

Q: What is the particular solution to the differential equation x + (1+x)y = 12 with y = 0 and dy = 0…

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Q: 2. Verify the final value theorem for the function 3t²e¬4t and determine its steady state value.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

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Q: Let f (x,y) =In Then f „(1, – 1) =... 3x²+ 4y3

A: This is a problem of partial.

Q: 2s +3 d the Inverse Laplace Transform of (s+4)

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Q: Se-2t if 0 3,

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Q: (b) y = 4xª+(3+51)x³+5x²-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Given curve,  y= 4x4+(3+51)x3+5x2-(100+1)x-400 To find the slope of the tangent on this curve at…

Q: ash” so that neither the

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Q: -dz 3 Q) Le

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Q: How many permutation of the letter ABCDEFGH contain the string ABC?

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Q: Find the solution. dy x3– 2y dx х A x= -+ 5 3x3 2y2 5 x3 C x2 5 D xy = + 3 B

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Q: Find: 8 cos/1+x dx . V1+x

A: Given integral is ∫08cos1+x1+xdx. We have to solve the given integral. Substitute 1+x=u…

Q: Sketch the curve resonted by the parametric equation. Indicate of the curve. Dlease Label…

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Q: 1. If p>9 2 5 and p and q are both primes, prove that 24 p - q.

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Q: You have $5000 to invest for 1 year.  Fund A has an estimated 4% annual return, and Fund B has an…

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Q: Find the general solution of this ODE: d'y dy + 4- + 4y = - 7t + 5 dt? dt The solution will be of…

A: The solution is given as

Q: 9. Use the series solution to solve the problems. a. xy" + 4y'-xy = 0 b. xy" +2y' +4xy 0

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Q: Question 2 Consider the following IVP: x" + 4x = t+4; x(0) = 1, x'(0) = 0 Find the general solution.

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Q: X(1) h(t) 2 t 4

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Q: For the following ordinary​ annuity, determine the size of the periodic payment.   Future Value…

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Q: eVx² +y?+z? T(e4 – e)(x² +y² + z?) Let f(x, y,z) Let S be the solid bounded by the xz plane and the…

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

Q: In Exercises 19–22, let R³ have the Euclidean inner product. a. Find the orthogonal projection of u…

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Q: What is the particular solution to the differential equation x + (1 + x)y = 12 with y = 0 and 2 - 0…

A: The solution is given as

Q: dz evaluated at dt If z=tan In with x=sec t and y=eª. Then the value of t= 0 is equal to ...…

A: Chain Rule Let us consider the function z=f(x,y) where, x=g(t) and y=h(t) Differentiate the function…

Q: Hew.l Evaluatethe fallowing double integrals: f号 Luz Lns Vx dxdy 2x+y e 2. dy dx

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Q: Find the aveas for the following Vegions: T- Region bounded by 2- Regionbounded by and ッニX+2 and x…

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Q: p3 – 4x2 (x + 2)² ’ x(x+8)(x – 2) (x + 2)³ 8(7x – 4) (x + 2)4 - - - f(x) = with f'(x) = and f"(x) =…

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