Find the volume between the cone x = √y² + z² and the sphere x² + y² + z² = 4. volume -

Q: Evaluate the triple integral JJ (x + 3y) E is bounded by the parabolic cylinder y = 9x² and the…

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Q: 1. ( pints) Let A = {a,b,..., z} and B = {1,2,..., 10) and define 4(53). f = {(c, 6), (b, 9), (b,…

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Q: Why is each of these statements false: (i) v₁ = (1, 1, 1) is perpendicular to v2 = = (1, -2, 1) so…

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Q: Suppose T is a transformation from R² to R. Find the matrix A that induces T' if T is rotation by…

A: Given : θ=3π2 To find : Matrix A.

Q: Evaluate the integral. 36-x² ISS -6 1 /36−x² (x² + y²)¹/2 dy dx dz =

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Q: Consider the curve given by the polar equation An sketch of the curve looks as follows: r = cos(30).…

A: Introduction: In polar-cordinates(r,θ) system we will consider r≽0. For (r,θ) point, r means the…

Q: Let D be the region located to the left of y = x and above the x-axis, bounded by y = √3x². Express…

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Q: Use the graph of x = f(t) and y = g(t) to sketch the parametric curve x = f(t), y = g(t). Indicate…

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Q: A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular…

A: 1st we will find point of intersection of given lines to find vertex of region R and then use…

Q: Evaluate the following integral In 3 √(In 3)²-y² 0 0 eV x² + y² dxdy

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Q: A particle is moving with the given data. Find the position of the particle. v(t) = 1.5√t, s(25) =…

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Q: Test the series below for convergence using the Ratio Test. n=1 n³ 0.5" The limit of the ratio test…

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Q: In Exercises 21-26, a function /(x) is defined in terms of a differen- tiable f(x). Find an…

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Q: 150 135 120° 105° 90° 180° 165* 240 225 210 .592 .042 75° .582 60° .00€ 45° 315* 30° 330⁰ 15° 8=0°…

A: Given a function rθ=4cos2θ on the interval 0 , 2π in polar coordinate. To determine: How many times…

Q: 7. Let f(x, y, z) be a continuous function. Write the integral according to the solid shown in the…

A: To Find: The integral for the given solids over a continuous function f(x,y,z).

Q: Just

A: We use definition of linear operator to find matrix matrix representation with respect to basis.

Q: Find a series ak that satisfies each of the following conditions or explain why it is not possible.…

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Q: A system is described by the following differential equation: d'y d'y dy d³x d²x dx dt³ di² dt dt³…

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Q: (a) P (Z'nY') = (Type an integer or a decimal.)

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Q: Find a closed formula for the sequence defined recursively by bo = -1, b₁ 0 and bn 4bn-1-4bn-2 for…

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Q: Find the absolute error and the relative error of (a) x+y; a+b+c (b) xy; abc (c) x ab y c

A: Given information (i) x=20.346 ±0.001     and    y=13.543±0.004 ∆x =0.001,    ∆y = 0.004   (ii)…

Q: Find the volum of the solid over the cone Φ = π and under the sphere p = 4 cos 3

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Q: What is the probability that a random integer from 92 to 734 is divisible by 15? (All integers in…

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Q: 2. (4 points) Verify that 223 is a prime number. Show your work and explain your reasoning.

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Q: 8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f…

A: (a) f is increasing where f'(x)≥0. By graph we get f is increasing on [0,4]∪[6,8].

Q: 2. Determine whether each set described is a subspace or R2. Justify your answer. H (a) The set of…

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Q: Find all of th e eigenvalues of th e matrix corresponding eigenspaces of A over th e complex numbers…

A: Eigenvalue: A number λ is said to be an eigenvalue of the square matrix A if there exists a non-zero…

Q: domain of a relation

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Q: Water is heated to a boiling point temperature 120°C. It is then removed from the burner and kept in…

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Q: Evaluate x²dV where R is inside x² + y² = 1, over z = 0, and under z² = 4x² + 4y² R

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Q: Assume that the demand of chocolate of a local producer is given by q = 9-√p in hundreds of…

A: Revenue = price x quantity  Marginal revenue is equal to rate of change in revenue i.e. R'.  We also…

Q: Use Bernoulli's inequality to prove that n + √)" = 1+ > √n for all n EN.

A: From Bernoulli inequality we know that  if x>-1 then : 1+xn≥1+nx for n≤0 or n≥1. Therefore for…

Q: Let A, B be set with A non-empty. (a) Prove that if A C B, then A, B are not disjoint. (b) What if…

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Q: Question 1 Find an orthonormal basis for the solution space of the given homogeneous system of…

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Q: Theorem10.2 is All bounded monotone sequence converge.

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Q: 1. (LT-3) Use the Laplace transform to solve the initial value problem: y"+y' - 2y = 128 (t2) - 128…

A: Using Laplace transformation and inverse Laplace transformation we can find the solution of…

Q: 1. Given 10 numbers a1, a2,..., a10, from the set S of natural numbers S = {1,2,3,..., 100}. Prove…

A: One question at a time pls.....or 3 sub parts .....bartbley rules

Q: The cost of renting a car is $44/week plus $0.25/mile traveled during that week. An equation to…

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Q: You’d like to set up a perpetuity that pays out A thousand per year with $1 thousand per year…

A: Here, in the question its been given that the perpetuity that pays out A a thousand per year with a…

Q: Consider the graph given below. a What is the degree of vertex k? b. What is the degree of vertex 12…

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Q: A volcano and z = x² + y² fills the volume between the graphs z = 0 1 ²+2), and outside the cylinder…

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Q: Suppose that ƒ € C²([x0, x1]) for xo < x₁, and let P(x) be the linear interpolant for ƒ at x and x₁.…

A: Theorem on the error in polynomial interpolation: Suppose x0,x1,…,xn are n distinct points in the…

Q: 0. [Core content] John, Trey, and Miles want to know how many two- letter secret codes there are…

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Q: Give a possible formula for the function shown in the graph. 3π 4 wwwwwwwwww y = 75 4 .……………….…..…

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Q: How many license plates can be made using either three digits followed by three uppercase English…

A: To Find: We have to find out how many ways the license plates can be made by using either the Case 1…

Q: 2. (CV-1) Evaluate the following inverse Laplace transforms as convolution integrals, and then…

A: To find : Solution of given inverse Laplace transform. a L-11ss+32  b L-1ss2+42

Q: Find the image of the set under the given transformation. a) S = {(u, v) |0 ≤u≤ 3, 0≤0 ≤ 2} x = 2u…

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Q: 1. Given 0<t<4 5. 9-t, 4≤t<8 8≤t 1, Write f(t) into combination of Heaviside functions, then find…

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Q: Lisa used a total of 4 1/6 gallons of gas while driving her car. Each hour she was driving, she used…

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Q: 1. Population Growth The population of mosquitoes in a certain area increases at a rate proportional…

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