(b) for 3-3.x 10 dx

Q: Find the volume of a right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

A: Given A right pyramid that has a square base in the xy plane      -1<=x <=1 -1<=y <=1…

Q: Let V, W be two matrices of the same order. If all entries of V are nonzero, then we say that X is…

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Q: Paul and Eric are playing squash, and Paul is determined to win at least two games. Unfortunately…

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Q: Let Find a non-zero vector in the column space of A. A = -8 -8 12 -12 2 -2 -3 0 10 0 15

A: Solution

Q: Question: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if…

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Q: Please answer II only. THANKS!

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Q: Find the sum S of the following series (C, denotes "C,): S=C₁-C₂24+ C₂, C₂ C₂ 3 4 **+ (-1)"+1 C₂ n

A: Introduction: The harmonic series is an infinite series generated by adding all positive unit…

Q: (1) If A and B are positive semidefinite matrices, then the eigenvalues of A.B are all nonnegative.

A: Solution:-

Q: Basis: Find a basis of the row space of the matrix EE A = 03 -1 -1 3 0 1 -5 1 4 1 0 1 -2 -1 -6 5 -2…

A: First reduce into echelon form then find basis of row space, as in next step.

Q: (iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two…

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Q: Howe if S IS (finite or infinite) Countable set, then prove that M" (S) =0.

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Q: Q3/Find the value of x If the approximation of the integral ff(x) dx by trapezoidal method is given…

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Q: pansion of (x + 3) ¹7+ x³(x+ 17 3

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Q: TASK 2: Prove that if G is a group and a, b = G, then (1) o(a¹ba) = o(b) o(ab) = o(ba)

A: These two results follow by proving G is abelian. We present the detailed solution in the next step.…

Q: You have 14 presents to give to your 3 kids. How many ways can this be done if: a. The presents are…

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Q: Please explain Modular Exponentiation Find the modular of the following: 5^4358 mod 10

A: This is an easy question and is a consequence of the property of the number 5. The detailed solution…

Q: Use Laplace transform to solve the partial differential equation: o'y dy = dx² ôt where y(x,0)= 0,…

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Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

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Q: Let X be a limit point compact metrizable space. (a) Show that there exists no continuous,…

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Q: Find a non-zero vector V in the row space of the matrix -20 4 0 -9 -3 12 -5 0 25 -12 -4 16 V

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Q: Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)}…

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Q: Normal subgroup 2. Endomorphism of group 3. Field 4. permutation.

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Q: For any non-negative integer m show that In [x2m] is a polynomial in n of -degree m with integer…

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Q: (21) Let y be a function of x. Find y'(x). Leave your answers unsimplified. (a) y = arcsin (arctan…

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Q: Consider the positively oriented surface S₂ defined by the vector function R(u, v) = (u sin v-3, u…

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Q: Using the parity theorem and contradiction, prove that for any odd positive integer p,√2p is…

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Q: Trisect a given quadrilateral by means of two straight lines drawn from (i) one of its vertices;…

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Q: Use separation of variables method to solve the partial differential equation: ди - ди du(x,0) +u…

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Q: In a recent small survey of airline passengers, 27 said they had flown American in the last year, 23…

A: We will use  Addition theorem for  3 set

Q: Describe the transformations of the functions. State the domain and ran

A: (b) Given,           y+4=-2x

Q: Use substitution to find the Taylor series at x = 0 of the function 14 sin (-x). What is the general…

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Q: Suppose that A is a 3 x 12 matrix, and that 7(x) = Ax. If T is onto, then what is the dimension of…

A: We know that the null space of a matrix A of order n×m is the number of linearly independent…

Q: ) Solve by using Laplace transform the partial differential equation 8² 2² = 9. dy(x,0) y(0,1)= 0,…

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Q: 6. Suppose A = (3, -2, 4), B = (-5, 7, 2) and C = (4, 6, -1), find A × B.A+B-C.

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Q: Let A be an n x n matrix. Assume that the inverse matrix of A exists. The inverse matrix can be…

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Q: -8y y² + 4xy − 2x² √ - dx

A: We can solve this using given information

Q: Consider the differential equation: 1+ y² xy+y³+y dz This differential equation is not linear in y,…

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Q: A store manager obtained a loan of $35,000, at  6 3 8%  interest, for 14 months to purchase…

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Q: Caitlyn sells her drawings at the county fair. She has portraits and landscapes and she is required…

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Q: Fitting plungers into holes A random variable X has a N(p., o) distribution. Independently, a random…

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Q: 3. Express the given integral as the limit of a Riemann sum but do not evaluate: So (x³ - 6x) dx.

A: Solution:-

Q: Convert point (-8,8,-7) from Cartesian coordinates to cylindrical coordinates. Hint: r² = x² + y²…

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Q: 4) Find the largest eigen value for the matrix 1 ^-['s 2] wi A= with x (0)=(7/17_1) 54

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Q: Q4) Find the largest eigen value for the matrix A- [1 2] A= with x (0)=(7/17 1) 54

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Q: aplace transform for L'" (ett (e4r + cosh 2t)dt

A: Laplace transform of the function

Q: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…

A: We have to find the surface whose cylindrical equation is given by: r = 6.

Q: Using the method of undetermined coefficients, solve the following differential equations: i. y =…

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Q: Use Fourier transform to solve the partial differential equation: ди d²u ax² du(0,1) -10u: x>0,t> 0…

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Q: Q2:Find the Laplace of the following functions: 1 - cos(2t) 1. f(t) = t 2. f(t) = t² sin(4t) 3. f(t)…

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Q: situation. and tell whether it is application on logarithmic function, inverse trigonometric…

A: As the policy of bartleby the provisions is to solve only one question at a time