11. Convert the cylindrical coordinates (4,,-2) to rectangular coordinates

Q: Ke Find the matrix M of the linear transformation T : R → R° given by - (E) I -6x1 + x2 + 7x3 -6x1 +…

A: Solution

Q: (ii) 4x²y" + y = 0.

A: Solution

Q: The functions: ƒj(x) = 7x and f2(x) = 2x form %3D a fundamental set of solutions of the DE: x²y" –…

A: (1) Given the function f1x=7x & f2x=2x2 we have to show that these function form a fundamental…

Q: DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND…

A: Please post the multiple sub-parts separately.Here I answered 1st three sub parts only as per our…

Q: Are the lines x = 7+11t, y = 11–61, z = 4–9t, and x = 3–12t, y = 7–t, z = 12–6t parallel? Yes O No

A: We have to check whether given line is parallel or not?

Q: Which of the following is/are homogeneous equation/s? 1. 3y" - 2y +1 = 0 dy II. 3 dy? dy + 2y = 0…

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Q: Make a comparison between Euclidean and Projective Geometry. Present your answer in a table.…

A: Given, Table to fill on the basis of "Quantities not preserved" and " Transformations" for Euclidean…

Q: Evaluate the determinant A by any method, |1 3 6 2 1 0 2 |0 A = |3 2 3 0 2 9 5 1 0 10 0 8 6 0 1 2

A: Consider , A = 1310206223302951010086012 We need to find determinant of A. For that we will use ,…

Q: y′′′ − 2y′′ − y′ + 2y = e^(−t)sin t by variartion of parameter

A: Given equation  y'''-2 y'' - y' +2y = e^(-t) sin t, say (1)  First we'll find the complementary…

Q: 1- cos at Q6. Find the Laplace transform of following functions (a) t sin at (b) t

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Q: Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is…

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Q: You have 7,264 grams of a radioactive kind of neptunium. How much neptunium will be left after 80…

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Q: Method: LU Decomposition Method Solve equations 2x + 5y = 21, x + 2y = 8 using LU decomposition…

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Q: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

A: We have to find power series.

Q: Find the Laplace transform, F(s) of the function f(t) = cos(6t), t > 0. F(s) = | Evaluating the…

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Q: QUESTION 10 Use LaGrange's Theorem to prove that a group G of order 11 is cyclic.

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Q: Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be…

A: Bisection method is one method used to find the approximate root of a function within a specified…

Q: The population of a certain barangay is known to increase at a rate proportional to the number of…

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Q: Solve for x: 4x11n – 47 n=1 x =

A: This question related to the topic series . Solution of problem is given below.

Q: Determine the values of b and c such that the function is continuous on the entire real line. x + 1,…

A: Given function is fx=x+1,        1<x<3x2+bx,  x+2≥1. We have to find the value of b if the…

Q: 13) Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his…

A: Given, Quantity of protein, fat, and carbohydrate in mushrooms, meatballs, and eggs. To find: Matrix…

Q: 4x1 + 10х + 8x3 3D 44 10х1 + 26х2 + 26х3 3D 128 8x1 + 26х, + 61х3 —D 214 use guass jordan to solve…

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Q: Evaluate the integral. 15 x'dx 7. x²dx = 3 x dx = dx = 1. -36 O -146 O-114 0 4 O -61

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Q: 6. (23) Answer: Show your work or explain your reasoning here: I 7. (39) Answer: Show your work or…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

A: Solution

Q: Evaluate the integral. -24r 15 x'dx = xdx 3 x dx = dx = 1, %3! O-36 O-146 O -114 O 4 O -61

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Q: Find a formula for the function graphed -2 12 Use u for the Heaviside function

A: (a) To find a formula for the given function that is graphed above. From the given graph, the…

Q: Using Green's theorem, evaluate Fir) drcounterclockwise around the boundary curve C of the region R,…

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

Q: 3. Obtain the Power Series solution of the differential equation: y"+x²y =0.

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Q: Is this statement true? It is possible for the square matrix A to be invertible and to have its…

A: Note: The determinant of a square matrix A indicates whether A is invertible or not.Now, det(A)=0 if…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: 5. Consider two functions g(x) and h(x), related in such a way that g(x)=h'(x) and h(x)=g'(x) and…

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Q: A periodic signal a(t) is given below: x(t) -4 -3 -2 -1 1 3 4 14444 1. Determine the fundamental…

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Q: rotating the region R about the y-axis, not the x-axis. i got 62*pi/5

A: The given answer is correct, i.e.,   V=1277π cubic units

Q: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

A: We have to find power series and prove that given series sum in (c).

Q: Consider the functionf(x, y) = 7x? – 7y² subject to the condition x + y = 36. %3D Use Lagrange…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 10 22 8 -1 30 -4…

A: According to our guidelines we are supposed to answer only first three subparts.kindly repost other…

Q: Using Green's theorem, evaluate Fir) drcounterclockwise around the boundary curve C of the region R,…

A: Green's theorem evaluation

Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: Using the method of separation of variables, find the solution of V²u(r,0) = 0 0 < a<r, 0 < 0 < 2ñ,…

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Q: Explain why S is not a basis for P2. S = {1, 4x, -9 + x², 7x} S is linearly dependent. O s does not…

A: Given S={1,4x,-9+x2,7x}. We explain why S is not a basis for P2.

Q: Fransform the following exp а. 49* = 7 %3D b. 1 6-3 = %3D 216 C. 102 = 100 %3D

A: As per bartleby guidelines we are supported to answer only first three subparts, kindly repost rest.

Q: Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be…

A: To find the root of the given equation with the help of bisection method .

Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

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Q: 1. Given: x(r+8)(r – 2) (r+ 2)3 8(7r- 4) (x+2)4 -4r2 f(r) = with f'(x) = and f"(x) = %3D %3D (r+2)2…

A: Domain of function are set/s of values of x for which function will be real and defined  For…

Q: Use First Isomorphism Theorem to prove that R/Z S'.

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Q: The average of two numbers is 42.25, and their product is 1647. What are the numbers? Enter them…

A: Given average of two numbers a and b is 42.25 Product of two numbers a and b is 1647 Average of a…

Q: |f(x) = e2* if x> 0 0 if x<0] The Fourier transform of the function:

A: Fourier transform of the function

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Find the distance from the point P(-3, 1,4) to the line through A(1, 1, 0) and B(-2, 3,-4).