J(x, y): y a) Draw the region that is the base (or footprint) D) Setup BOTH dydx and dxdy. c) Then solve ONE of the integrals to find the va region defined by x = 0, x = π, y = x and y=

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A: Tangent line to the function

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A: A function f(x,y) is called a homogeneous if f(tx,ty)=tαf(x,y) for some α.

Q: 2. Given f(x, y) = 2 + 12x²y. a) Draw the region that is the base (or footprint) the surface, b)…

A: The given function is f(x,y)=2+12x2y. (a) To Sketch: the base of this function. (b) To SETUP: the…

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A: Permutation: A permutation is an arrangement of numbers in order. It is denoted as Prn . Formula is…

Q: 5. Given f(x, y) = x + y. a) Draw the region that is the base (or footprint) the surface, b) Setup…

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Q: The matrix A = 1 3 3 -3 -5 -3 has eigenvalues X = 1 and X 3 3 1 Show that A is diagonalizable. = -2.

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A: Arithmetic progression: A sequence of numbers in which the difference between any two consecutive…

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Q: calculate by the bisection method A) f(x) = x3 + 6x² + 2x + 8   IN THE BREAK (a= -13  and b = 5)…

A: The roots are calculated by bisection method as shown below.

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A: The table shows the average life expectancy, in years, of a child born. Year Life expectancy…

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A: We have to find standard form of the given equation and then identify the surface

Q: 3 2 f(x) = x²³ +6x² + 2x +? X 8 5) (a = -13 b = 5

A: fx=x3+6x2+2x+8a=-13, b=5 Here x -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 fx -1201…

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Q: what is the chance that a buyer of one ticket will have the winning ticket?

A: number of favorable event =1 total event =225000000   so probability = 1/225,000,000

Q: Question 1 Solve [(x), (y)] = [[3,1],[-25,-5]]\ [(x), (y)] \quad x(0) = 3, y(0) = -24` `x(t)` =…

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Q: D

A: We have to solve given problem:

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Q: Suppose p is a prime and a and k are positive integers. Prove: If plak, then pk|ak.

A: Suppose p is prime. Let a and k are positive integers. If p|ak then we need to prove that pk|ak.

Q: Question 2. Consider the function of 2 variables f(x,y) = xexy. (a) (b) Find the partial derivatives…

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Q: Let B= (b₁,b₂} and C= {c₁.C₂} be bases for a vector space V, and suppose b₁ = 7c₁-4c₂ and b₂ = -9c₁…

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Q: x² + 2x³ - 11x² - 12x

A: