OA. Find the sum of positive divisor of 5020 and aso tind the pais of this number JO that Hhey can be called amicable pair.

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

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A: Given are three curves with different colors that represents function f(x), f'(x) and f''(x)   To…

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Q: 17. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Romberg Integration with 5 and 8 segments e* Sinx dx o 1+ x2

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Q: Consider the large mixing tanks show in the figure. Suppose that both tanks A and B initially…

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Q: what is the minimum size of edge cover ? And give examples

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Q: Let V be the vector space of functions from R into R. Show that f,g,h EV are independent where: f(x)…

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Q: Solve the initial-value problem using Laplace Transforms. x'' + x = e^-t sin2t;   x(0) = 2, x'(0) =…

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Q: How many elements are in the union of four sets if each of the sets has 98 elements, each pair of…

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Q: Ex:- Let G2 be graph Is G a connecto/graph ? a Gz |

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Q: Determine the Fourier series to represent the periodic function shown: 2л

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Q: Write the standard form of the equation of the hyperbola subject to the given conditions. 15…

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Q: Find the smallest value of x for which the series ř (I+ 48)" 2ln(n) n=2 is conditionally convergent.…

A: We have to find the smallest value of x for which series is conditionally convergent.

Q: Use Induction to prove that 22n+1 + 32n+1 is divisible by 5 for all n > 0.

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Q: 2. Evaluate, using the laws of logarithms. 2 log, 64 x v64* |+log, 46 43 256

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: 6. Suppose f :Z→Z is defined as f = {(x,4x +5):x € Z}. State the domain, codomain and range of f.…

A: From the definition of a function it follows that ℤ is the domain and codomain of f.

Q: R.4. Let f:R→R be defined by f(x)= 2x² – 3, and let A=[-5,3]. Find f[A]. f'[4]: S[S"[4] , and…

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Q: e expected value of this random variable is 7.9, mplete the table. Show your work. P(x) 10 0.5

A: In this question, the expected value is given. Unknown entries are to be determined.

Q: y = c,e* + cze*, (-00, 00); y" – y = 0, y(0) = 0, y'(0) = 1

A: Solution

Q: f = (7 3)(14 85 37 6) g = (5 8 26143) Write each of the following permutations as a product of…

A: f = (7 3)(1 4 8 5 3 7 6)  g = (5 8 2 6 1 4 3)  (a) fg= (7 3)(1 4 8 5 3 7 6)(5 8 2 6 1 4 3)…

Q: The vertical distribution of some marine invertebrates follows a probability distribution with depth…

A: Given ρx=2βxe-βx2

Q: x-ビ ere S70 and --xe g 00ー

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Q: Question 21 Mac's credit card statement included $1843.00 in cash advances and $42.94 in interest…

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Q: :01 Solve the second order differential equation Y" – 5Y' + 9Y = 0 %3D

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Q: Both sets below are bases for P,: P = {pj, P2, P3} = {1+r?, 1+21, t + 21²} Q = {q,, 42» 93} = {1+3t…

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Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

A: here we can use simple calculation and formula to solve this question.

Q: 4965 4 mod 5 4965 = 2 mod 7 4965 = 1 mod 11 Use your answers above to find the canonical…

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Q: List the ordered pairs in the relations on {1,2,3} corresponding to the matrix, [1 0 = 10 1 1 11 1.

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Q: Use the given transformation to evaluate the integral. u = 2x + y - z, v =-x + y + z, w =-x +y + 2z;…

A: If we want to integrate f(x,y,z) over the region R. Under the transformation x=g(u,v,w), y=h(u,v,w),…

Q: Evaluate fe y dx + 3rydy where C is the counter clockwise oriented curve given by the upper half of…

A: Green's theorem evaluation of the integral

Q: Question Use Newton's method to approximate the x-coordinate of the point where the graph of 4x- 10x…

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Q: e -4s The laplace transform of f(t)= 02 s+2 Select one: O True O False

A: We want to find laplace transform of given function.

Q: Find the absolute extrema of the function f(x,y)=1+xy−x−y on the region bounded by the parabola y=x2…

A: Given function is fx,y=1+xy−x−y.  We have to find the absolute extrema of the function fx,y=1+xy−x−y…

Q: To express 3/4 as a percent, divide ____ by ____ multiply by ____ and attach a percent sign

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Q: what is a maximum spanning tree And give examples

A: The given question is related with graph theory. We have to define maximum spanning tree. Also we…

Q: 2 [n(n+1) Using induction prove that 1³ + 23 + ... + n³ = for n > 1. 2

A: To Prove: 13+23+...+n3=n(n+1)22 for n≥1 using Induction

Q: Shown above is a slope field for which of the following differential equations? dydx =x/y the…

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Q: H Ps is theveetor space of polynontale of degre $3, and P, io the ucetor spaceof polynomial the…

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Q: Use Laplace transform to solve the initial value problem x" – 9x = e¯3t , x(0) = 1, x'(0) = –1 1,…

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Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: Use the following formula to calculate the accumulated FV.

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: Solve the Higher order differential Equations. (Choose one only) d*y d?y 4 + 4y = 0 dx2 1- dx4 d*y…

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Q: QUESTIONS 1-5. Data in the table below were collected on a new test for the diagnosis of COVID-19 In…

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Q: (g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer…

A: 1. For prime number p = 2, by Fermat's theorem,         x2-1 = 1 mod 2       => x = 1 mod 2…

Q: The prices for traveling between five camps in Ruinous Volcano by Mounts are given in the table…

A: To do: Represent the given data in the table using weighted graph. Find the lowest cost route that…

Q: Q1) Evaluate the integral dy dx using polar coordinate

A: Introduction: Multiple integral can e converted from one coordinate system to another coordinate…

Q: Example 3: Let B = {b, ,b,} and C ={c,,c,} be bases for R? with b, : 8. 1 1 c, = and c, (a) Find P…

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Q: Use Laplace transform to solve the initial value problem x" - 9x = e;x(0) = 1, x'(0) = –1

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