let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

Q: Show that the volume generated by revolving the region in the first quadrant bounded by the parabola...

A: Solution is below.

Q: Given a surface f(x,y) = -3x + (4)y². Find the derivative in the direction of v = at the point (6, ...

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Q: Problem 2. Solve the equations using any of the LU decomposition methods and any of the iterative me...

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Q: Find the augmented matrix of the system of equation. 2x – 14y + 9z = 47 -3x + 24y = - 52 2x -13z = 2...

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Q: 1.8 (3-2) (7- y?) 2) (7 – s²) dz dy -1.8 -1.6 using an adaptive Gauss-Legendre Quadrature method.

A: The integral given is as follows: ∫-1.81.8∫-1.61.63-x27-y2dxdy We are asked to solve the integral us...

Q: -sin x, 0<x <n Q6) Find the Fourier cosine transform of f (x) ={ 0, otherwise

A: Fourier Cosine transform

Q: Histograms of normal distributions can be compared to a potentially normal distribution curve to det...

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Q: 1. Consider problem min xí + x5 s.t. ai + x3 0. Verify that the KKT necessary and sufficient condit...

A: We are given a non-linear optimization problem. min x12+x22subject to,x12+x22≤5x1+2x2=4x1,x2≥0.........

Q: aw Find ду if w = z³(In(zy))(e**y*z*) %3D

A: Given,        w=z3ln(zy)ex2y3z4

Q: size k - 1 (where k is an integer that is greater than 1). When the algorithm is run with an input o...

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear ...

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Q: B) Find (블)x,()'(일), Prthe Pte 2- w= x?+y-2 +sin z 3. w:x+y+2", ysinz+ z sin so

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

Q: Level B Test Name (8 as Factor) 8 8 х 8 10 8 х 8 х 7 х 3 4 8 8. х 8 х 2 х 8 х 8 х 8 8. 8 10 8 х 8 х ...

A: simple mathematics problem,  with 8 multiplication 

Q: Two children weighing 44 pounds and 76 pounds are going to play on a seesaw that is 10 feet long. Th...

A: Solution

Q: If the maximum horizontal range of a particle is R, show that the greatest height attained is R. A b...

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Q: 1. Evaluate the following integrals: dx V-x² + 4x – 3 f) . dx (x – 2)Vx² – 4x +3 -

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Q: 4y 6. Consider the solution to the differential equation y' with y(1) = 1. 3x %3D (a) Apply Euler's ...

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Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) =

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Q: Find the center of mass of the given system of point masses 0 7 (*i, Yi) (2,4) (–1, 2) (2, –3) mi 3

A: The given system of point masses        mi        3          0       7     xi, yi    (2, 4)    ...

Q: Let (Ti+1 – x)³ P:(x) = a;- hị (r – x;)3 + ai+1 + b:(xi+1 – x) + c;(x – x;). hị for i 1,...,n – 1. S...

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Q: Consider the three points A(-2, –1,2), B(0,2,–1) and C(0, –5,3). You are given that, 2 АВ — 3 and AC...

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Q: Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation fo...

A: 1st we will find a differential equation for number of fish in the lake and then solve it to find ex...

Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that A2...

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Q: Consider the following system of equations: 4x + 4y = 0 - z = -9 = -3 7y + -3x Use Cramer's rule to ...

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Q: Compute the flux of the vector field i = -2i+ j- 2 k through the rectangular region shown below, ass...

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Q: V12(–1)" 37 (2n + 1) 1. Consider the series n=1 Use any test for convergence/divergence to show that...

A: We will use alternating series test to check series is convergent or not  Suppose that we have a ser...

Q: Ex. 1. A shot of mass m, is fired from a gun of mass m2 with velocity v relative to the gun; show th...

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their injection-m...

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600  

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogo...

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Q: x’y" – 3xy' +3 y=3 ln x- 4 y(1)= 0 y'(1) = 1

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Q: In Exercises 3 and 4, find the new B-1 from the given information. -1 :n 4. The current B-1 is 1 -1 ...

A: Given,   B-1=1-1210101-131-32-124tP=04-223xb=1142

Q: For each of the following sequences, tell whether they converge or diverge as n → ∞ 1 a) an d) an = ...

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Q: • Give an example of a continuous function f(x) on (a, b) such that f(x) has no maximum on (a, b). D...

A: We have to give an example of a function f(x) that is not bounded on [a, b].

Q: 3. Determine the half-range sine series for the function defined by: x. 0<x< f) =

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Q: X Q6) Find the Fourier cosine transform of f (x ) = sin x , 0<x <A 0, otherwise

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Q: 7- The function f(z) = z is: a) Analytic on C b) Analytic only at zo = 0 c) Not analytic

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Q: show that outer product for two vectors not rotation and not commulative ? justify your answer

A: The outer product is defined as, Consider x=x1x2x3⋮xn and y=y1y2y3⋮yn are two vectors from ℝn. Then ...

Q: A Fnd

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Q: 2. Let C be the closed path constructed by joining the segment [-2, 2] on the real axis with y(t) = ...

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Q: how to find the M1,M2,M3,M4,M5,.....m1,m2,m3,...  CAN YOU EXPLAIN IT? I ALREADY CIRCLE IT

A: Here Mi are maximum values and mi are minimum values:

Q: Given the graph of f'(x) below, what is the slope of the tangent line at x =-1? -1

A: Given the graph of a function f'x To find the slope of the tangent line at x=-1

Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 - 48s...

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Q: The following graph shows the temperature in Nellie's dorm room over a 24 h period. 25 20- 15 10 10 ...

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} ...

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Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

A: Introduction: The formula of washer method to find the volume of the solid is given by, V=π∫abR2-r2d...

Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

A: To determine the nine roots of −256−j2563

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are P...

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Q: 2. By replacing f in Problem 1 with certain well-known multiplicative functions prove (a) lH(d)| = 2...

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Q: #+ )= 2 c(-)-2 sin (- 2 cos (#)-2 sin() 2 cas ()+32 sin () # + )F 2 ccs (2 sin () 27 (0) 27T +j2 sin...

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Q: 5. Evaluate | 3 ( cos 45°+ isin 45°) using De Moivre's Theorem.

A: