Prove that the functionf: R2 → R defined by f(x, y) = 1 - ² - 4y² is neither injective nor surjective.

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Q: 19) If f/u) = sinul; then (fog)(3) = ? A) O B) 1 M= g(x)=x²-9₂ c) 6 D) 9 E) None

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Q: 1. Consider the surface defined by z = x² + eº ln(x − y). Let f(x,y) = x² + e³ ln(x − y). (a)…

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Q: Problem IV Let V be a subspace of R4 spanned by three vectors given below. Find the distance from…

A: (66)  Given y = 0,0,12,0  and  V= u1 ,  u2,  u3                  where  u1=1,0,0,1,  u2=0,1,1,-2 ,…

Q: Evaluate the integral [] exp(-5x² − 2xy − 5y² + x)dxdy R2

A: The rule for a Normal density function is fx,μ,σ2=12πσ2e-x-μ22σ2 where the mean of the distribution…

Q: II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal…

A: The cylinder is x2-6x+z=4 Cuts the plane y=1, y=4 and z=0 F→x,y,z=xy,3xz2,yz

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Q: What is about mathematics have change your thoughts that might about it?

A: We have to answer given Questions.

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Q: Question 14 The augmented matrix is given for a system of equations. If the system is consistent,…

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Q: 1-i<z-i<3-i 12+(-1)2<z-i<32+(-1)2 2<z-i<10 I  dont understand this

A: As you didn't understand the line so, i rewrite in below step.

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Q: Problem II Consider a linear transformation L₁ : Rª → R³ given below and a linear operator L₂: R³ →…

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Q: Use Right-endpoint Rule with n = 5 to approximate x√x + 2d x√x+2dx to 4 decimal places.

A: To Evaluate: the integral ∫12xx+2dx using right-end point rule with n=5.

Q: Question 24 Using Green's Theorem, find the outward flux of F across the closed curve C. F = xyi +…

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Q: Consider the Pecewsie continuous function { f(x) = = -2 < x < -1, −1≤ x < 0, 0 < x < 2. Without…

A: Fourier series convergence

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Q: 1 0, 1 5. 0 0 1 010

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

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Q: z = ln(4-j7)

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Q: (c) 175//16 and 175%16.

A: These are the problems of discrete math.

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Q: 6. y4y' + 5y = 4e³; y(0) = 2, y' (0) = 7

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Q: Let R be the region in the first quadrant enclosed by the curves y = x², y=x+2 and x = 0. Use the…

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Q: 6.1 (3) Sketch the region enclosed by the given curves. Draw a typical approximating rectangle and…

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Q: True or False 1.  The functions cos left parenthesis 3 x right parenthesisand 2 sin left…

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Q: If * represents convolution, determine the Laplace transform of f(t) = 12t * e-3t

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Q: is equal to Select one: True False L-¹ { = + 3 s² +9 52 - 1 1 -/- 1 + 36 ²1 1 3 { } s² +9

A: Properties of Laplace transformation

Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: Question 8 Determine whether the matrix is in echelon form, reduced echelon form, or neither. 12 5…

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Q: . (a) Estimate the area under the graph of f(x) = √√x from x = 0 to x = 4 using four approximating…

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Q: rove that let p be a prime and f(x) = ao + a₁ + a₂x² + ... e such that an #0 (p), then the…

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Q: Problem 1. 92x² + (a) If A is diagonalizable, that is A = ODO¹. Assume a polynomial f(x) = ao + ₁x +…

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Q: our team is preparing a variety of pastries for a brunch event this weekend. You anticipate that…

A: 25%of the pastries will have 2 ounces of lemon filling.  Anticipate that each of the 400 guests will…