0. Use the integral test to determine whether k=1 (k5 +99)³ converges.

Q: Evaluate the following integral using inversion of order: So fa dyda

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Q: 211 Choice the correct answer rom the following: -at-t\l Cl-te-at - inte

A: Given as,            L-t*e-at*u(-t)=

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: (x² + y² + 1)dx + x(x - 2y)dy = 0 2

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x…

Q: reverse order of Jo Jy sinx cos dxdy is sinx cos dydx= False True

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Q: Q2) Determine whether the series is absolutely convergent, conditionally converge or divergent. Show…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: Identify each of the following mathematical relationships below, in terms of whether it could be…

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Q: You are given a transition matrix P and initial distribution vector v. 0.7 0.3 0 0 1 0 P= J.₁ v=[0.5…

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Q: (a) The figure shows a telephone wire hanging between two poles at x = -b and x = b. It takes the…

A: For part b we use the results of part a

Q: What is the volume of the rotator formed by the function y = 2-x ^ (2) and rotating the region…

A: Let us consider the curve y=f(x) The volume of the solid of revolution about x-axis is obtained by…

Q: Evaluate the following integral using inversion of order: So ²5 dydr Remember to show complete…

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Q: abstract manifolds, PCM. 5. If a) Define TpM and dfp, where M²₂N is smooth map Трер betak by dfp:…

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Q: التاريخ : 2 We can rewrite axt(1-d)y-xo. as follows @q (x-x₂) + (-a)y 2 (x-y)- (X-X₁) a(x-X ₂) +…

A: Using the property of inner product. In question #2 , if the metric is induced by inner product then…

Q: 3. State and explain the Convolution Theorem for Laplace transform

A: We have to state and proof  the convolution theorem of laplace transform.

Q: What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 1 = 0

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Q: If S₁, GR are two manifolds and FIRM 52. Smoothness for f. show that SS. S fir¬R x2 f(x₁, x₂) = 1 +…

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Q: • Draw a left endpoint rectangle approximation of the area with n = 8. • How do Ax and the change? •…

A: To draw: A left endpoint rectangle approximation of the area under fx=x2-2 and above the x-axis over…

Q: c) Use the cylindrical coordinates to evaluate the triple integral. 3 √9-x² x+2 √x+²y dz dy dx So So

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Q: Suppose you are to perform the Newton Raphson method with starting points: ( 20 = 2.0, y = 0.25) on…

A: Newton Raphson method [xn+1yn+1]=[xnyn]-[∂f1∂x∂f1∂y∂f2∂x∂f2∂y]-1×f([xnyn]) here we have…

Q: . Solve the following Ricatti equations: 2 y - y² = -x², given that y₁ = x² is a particular dy dx…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: (d) Consider the set [1, √5] C [−1, √10]. Explain f is not continuous by connectedness, compactness,…

A: Given: The function, f:-1,10→ℝ defined by, fx=x2,x>2x,x≤2 The set 1,5⊂-1,10. To explain: Why the…

Q: The ODE (x dy/dx = yx²) is separable. true false If for a square matrix A and B, null matrix O, AB =…

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Q: Write the following power series in sigma notation. x²x4x6 2! 1! 3! 4!

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

Q: factor: Find the explicit general solution to the following differential equation by first finding…

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Q: The pricing form for a meal of fish and chips shows a total ingredient cost of $4.90 per serving of…

A: Total cost for a meal is  $(4.90+0.80+0.38)=$6.08 Now, 28% of $6.08 is 0.28×6.08 Dollars = 1.7024…

Q: Example 7: Find the Z-transform including the region of convergence of x(n) = {a" n20 n<0

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Q: In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.…

A: Here we can use permutation to solve this question.

Q: 3. ..) Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why…

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Q: Find the Maclaurin series of Σ(3n n=0 3 1+x 3 Σ (−1)"(x)" n=0 3 Σ (x)" h=0 . Write your answer in…

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Q: Let A = = 6 -1 0-5 and define T: R³ → R² by T(x) = Ax. 3 (a) Find the images under T of u = and v= 8…

A: Let A=-306-10-5, T:ℝ3 → ℝ2 by T(x)=Ax   (a) To Find: The images under T of u=-311 and v=318   (b) To…

Q: Determine whether the differential equation is exact or not exact. (-4xy sin(x) + 8y cos(x))dx + 8x…

A: Solution:-

Q: 4) Region R is bound by the function r(x) = 9-x² and the x-axis. a) Sketch Region R & the Volume of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine whether the given functions are linearly dependent or linearly independent on the…

A: We use definition of linearly independent functions.

Q: Find the general solution of the given differential equation. x²y + x(x + 2y = ex y(x) = Give the…

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Q: (A) If y is (2,4......., 10) Write a program to print the values of x. √y²-3 y²-16 x = Write the…

A: Here I am writing the code in python. Here one point 4 is in domain where x is undefined. you just…

Q: Equation d³y dy dx =pln(-5p) + 3e5p dy d5y - In(5y). = 2 cos(5y) -y dx5 dx sinh (3t-e³t)- d^ f dp4…

A: Order of a differential equation : Order of a differential equation  is the highest order derivative…

Q: Find dy/dx by implicit differentiation. √xy = x³y + 20 dy/dx =

A: Given equation is  √(xy)=x5y+20. We find dy/dx by implicit differentiation.

Q: Consider the function f : [-1, √10] → R defined by (x², x> 2; = {² x ≤ 2. f(x) 10 8 6 4 2 0 f(x) 0 1…

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Q: show that the ring of complex umbers (+) Can be imbedding a ring of 2x2 matrics (M ₂x₂ 2X2

A: Given: A ring of complex numbers ℂ, +, · and a ring of 2×2 matrices M2×2, +, ·. To show: ℂ, +, · is…

Q: Find the derivative of the function. y · ==—=[x√ 49 − x² + 49 arcsin( - Step 1 Rewrite the given…

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Q: 2. a. Solve the following exponential equation: 3* x 53x+m = 160 b. Simplify the following…

A: In part a. we need to solve for x and in part b. we need to simplify the given logarithmic…

Q: The item(s) that should mention in a job application when apply for a job advertised in the…

A: When a job application applied for a job, then some points should be mention: 1: Reference, from…

Q: x²y"-5xy' +9y=0

A: Given differential equation is x2y''-5xy'+9y=0  (1) by Frobenius method, let the solution be…

Q: conditional proof

A: p→(q∧r)        premise ¬q        premise (p→q) ∧ (p→r)     premise 1,distributive law p→q…

Q: Q5\ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

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Q: Sketch the following surface: (z+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

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Q: 100 came from?

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Q: Evaluate the following integral: fif, fx+yz dædydz

A: We need to solve triple integral ,  I = ∫12∫-zz ∫2yy+z x + yzdxdydz Now , integrate with respect to…

Q: Jff Fav V where Vis the region bounded by the surfaces x = 0, y = 0, y = 6, z = x², z = 4. (a) 24i…

A: Explanation of the answer is as follows

Q: A 60-gallon bathtub is to be filled with water that is exactly 120°F. Unfortunately, the two sources…

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