give an example of a power series with an interval of convergence of -5

Q: 1. Let X be the graph of f(x) = x2/3 given below

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Q: Compute the line integral -xdy + ydx 2(x-y)2 +4xy where L is the circle (1-x)2 + y2 = 3 with a…

A: We can write the given line integral as ∫L y2x-y2+4xydx+-x2x-y2+4xydy, where L is the circle…

Q: The curve given by the polar equation r = a(1– cos ) is called a The cardioid has equation (22 + y?…

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Q: herz Evaluate the fultowing carteSian integrats by changing them inte equivalent Pelarintegrals:…

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Q: Find the general solution of the system: (G 1 -8 -3

A: Introduction: The system of first order differential equations contains more than one first order…

Q: Question 2 Consider the number C(n,r) given by n! C(n, r) = (2.1) (n – r) !·r! * where n and r are…

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Q: Evaluate f(0). F(s)= (s²+4)² Round-off to whole number. Answer: 1

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Q: equilibrium

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Q: I symmetric values of the gen vector i:

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Q: First, it could buy at par a $10,000 government bond with a $500 annual coupon that matures in three…

A: We have three different cases and we need to find the interest rate for these situations.

Q: hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

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Q: Prove that the function f(x) = Root3(x) is uniformly continuous on [−1, ∞). (Hint: consider the sets…

A: Given that fx=3x we have to prove that fx is continuous in interval [-1,∞) lets consider the set…

Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: For problems 4 - 6, evaluate I= -dz on the given contours. Question #4) Question #5) Question #6)…

A: We have to evaluate I = ∮C 1z4 - 1 dz on the given contours :          4.   C4 : z - 3 = 3…

Q: th 2 Evaluate khe fulawingcartesian integrat by changing theminte equiv alent Pelarintegrals: E 4-y…

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Q: Prove by contradiction that if a sum of three real numbers is less than 30, th at least one of the…

A: We have to prove by contradiction that if a sum of three real number is less than 30, then at least…

Q: SET-UP the double integral that solves for the volume of the solid:

A: To find the volume of the solid using double integral of the region bounded by below surfaces in the…

Q: + y4 + z4 = 3x?y²z?, (1, 1, 1) (a) Find an equation of the tangent plane to the given surface at the…

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Q: The half Tunctión of the Fast Fourier transform algorithm is given by: F(u) = [F.n (1) - Fta (1)]…

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Q: Cometer e dar te, )aten the faur dete ta t hen1,).1-1,8(0.1), (-1) he yar,( the r uher trta(2, , aan…

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Q: Given the joint distribution X # of Red 1. 2. 6/252 12/252 3/252 12/252 64/252 36/252 3/252 3/252…

A: By definition of Conditional Probability,       P(X<Y|Y=3) = P(X<Y n Y=3)/P(Y=3)…

Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: It is given that r1=3cosθ and r2=1+cosθ. We have to find the points of intersection of the curves r1…

Q: (b) The affine cipher E is given by E(x) = 17x - 3 (mod 26). The conversion table for letters and…

A: Given that The affine cipher E is given that Ex≡17x-3 mod26 (1) consider…

Q: v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t…

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Q: 4. Draw the planes with the following Miller Indices, indicate the coordinate. а. (3, 0, 1) b. (1,…

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Q: B. Temperatures in degrees Celsius (C) may be changed to degrees Fahrenheit (F) by using the formula…

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Q: y= cos(2r) The initial interval is [0.8,

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Q: (b) There exists LE R such that L4 Size(O(n)).

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Q: If y is the solution to the initial value problem 9x? y(0) = 1 2y then y(2) =

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Q: 5. 5 23% 12 - 5 8.

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Q: (x – 2)? – In x = 0, [1,2]

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Q: Let X be the graph of f(x) = r2/3 given below %3D that is, X is the subset of R x R satisfying the…

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Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: 6. Let V be a vector space of dimension n and W a vector space of dimension m. Let L: V → W be a…

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Q: This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we…

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Q: An engineer who accidentally inhaled poisonous fumes was given treatment for it. The concentration…

A: Let us solve the given question by method of least square in the next steps.

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Q: sin x – e-* = 0, [0,1]

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z 12

A: The solid is bounded by the triangle and the planes x=0,y=0, z=0

Q: A boundary value problem is defined by the following DE and boundary conditions. d'u +x = sin dx px…

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Q: how that if Λ ∈ Rn and if it meets:

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Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: 4. SET-UP the double integral that solves for the volume of the solid: *+2 = 4 2 +y = 4

A: Given that

Q: Hewed Find the akeas fax the fallewing regions Area enclosed by the diagram V= Sin 3

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Q: Let '–12] 9 -3 and ÿ= 10 -6 Use the Gram-Schmidt process to determine an orthonormal basis for the…

A: The solution is given as

Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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Q: The​ O'Connors own a small janitorial service. John requires 14 hour more time to clean the Moose…

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+2y+ 4z = 12

A: Given the solid plane 3x+ 2y+ 4z = 12. We have to find the double integral that solves for determine…

Q: 2 2 -2 - 4 Let S = {|1 |, – 1 1 The basis of S are 1

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