student studies for an exam is just 80%. Given the student passed the exam, determine the probability that he studied. Use a calculator to simplify your answer, and round it to three decimal places.

Q: in 20 minutes

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Q: Use the Laplace transform to solve the given differential equation subject to the indicated initial…

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Q: b) Use Gauss' theorem to evaluate ff F - ndS where F = (r - y)i + y²j+ (ry-y)k and o is the closed…

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Q: Find the equation the hyperbola with vertices (0, +2) and asymptotes y = ±3x.

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Q: Problem 2. Find A-1 and A using Cayley Hamilton theorem, where -3 0 -1 A = 0. 3 0. 8. 0. 3.

A: In Linear algebra,  Caley-Hamilton theorem states that, Every square matrix satisfies its own…

Q: c) Using linear approximation, estimate the value of the function: f ( x) =x cos-1 x at x = 0.1.…

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Q: We consider the differential equations /(t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We first consider…

A: The differential equations given are as follows: y't=costy't=cosyt (4) We are asked to determine…

Q: Given the parametric equation x = t+ lnt and y = t - Int %3D dy d²y Find and dx da? Find the point C…

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Q: A bag contains one hundred red balls and also one hundred blue balls. A woman selects balls at…

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Q: (c) Show that the ideal generated by x² + y² + z² € C[x, y, z] is a prime ideal.

A: If <x2+y2+z2>is not a prime ideal, there should exist g,h∈ℝx, y, z s.t. x2+y2+z2 | gh,…

Q: Solve b part only now in 10 min

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Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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Q: Evaluate (Vx A). ndS over the surface of intersection of the cylinders x + y a, = a which is…

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Q: Use the Maximum Principle to solve the following dynamic optimization problem 2 (1+ *¢ – u?), X+1 =…

A: We are given a dynamic optimization problem and we have to solve for the optimal solution using…

Q: (Q1) (a) Count the number of arrangements of the word FEBRUARY that satisfy all of the following…

A: Given the word FEBRUARY

Q: X1,... , X, be a random sample from a population with PDF is Oxº -1 0 <y<1 | f(x,0)= otherwise The…

A: Option (B) correct

Q: The demand equation for the Grinch Industries marble polisher is given by q = 2 ln(3/Y – 4p). where…

A: We have to use partial differentiation to find all values .

Q: 1- if ROR = 1, then Ris The partial order relation 2- If R = ((x, y) x, y E N, 3 x+y = 10) then f is…

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Q: Use the partial fraction method to determine the inverse z-transform for z/p 8z + 16 F(z) P=2 6-) (z…

A: Given that, Fz=zp1p-1pzz-2p+8z+16zz-2-1p=2

Q: 1. The average weight of sugar in a medium-size bag is stated to be less than 10 kilograms. The…

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Q: Solve 2 part only in 30 min nd take a thumb up plz

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Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: ® Find such that a hon-zero ordereol pair, AX=6X For 7 2 A = 4 14

A: Non zero ordered pair

Q: Consider the IVP: y= 3z – 4y-2, y(2) = 3. A) Use Euler's method to obtain an approximation of y(2.4)…

A: The given differential is y'=3x-4y-2  , y2=3 we know the Eular method is yn+1=yn+hfxn,yn

Q: Evaluate the iterated integral by converting to polar coordinates. √9-x² T Submit Answer (x2 +…

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Q: Problem 1 Let the matrix A be given by 34 A = 1 1 -1 1 2 a) Calculate the determinant of A. b)…

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Q: L4. (a) (b) A function f is given by f(x, y, z) = 4x³yz + (3xy²)-¹ + If x = 1, y = -²±², z=-1t 23…

A: Given functionf(x,y,z)=4x3yz+(3xy2)−1+sin⁡(yzπ)πPartial derivatives with respect to x,y,z…

Q: Problem 4 A rocket is equipped with a propulsion system consisting of three thrusters. Each of the…

A: Consider the vectors v1→, v2→, … , vn→. Then this set of vectors are linearly dependent if the…

Q: 6. (11s) Let a > 0 and let R be the region under the graph of f(r): quadrant. = v9 - ar and in the…

A: The given curves are fx=9-ax and in the first quadrant and the curve gx=x.

Q: Question 1 Sketch each of the folowing graphs: a) y= (x+5)(x-7) b) y= x+2 c) y= (x+4)(x-2)2

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Q: Find the third degree Taylor polynomial, T3, centered at c = 1. y = In(1+ 5x)

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Q: (A) Suppose D is the region bounded by the line y = x + 5 and the parabola y² = x + 25. Sketch the…

A: It is given that the region D is bounded by the line y=x+5 and the parabola y2=x+25. (a) The…

Q: 1 Exercise 1 Ve consider the differential equations (t) = cos(t) /(t) = cos(y(t)) (1) (2) 1. We…

A: We will use the basic knowledge of ordinary differential equations to answer this question. Note…

Q: f(x) is apart of a quartic family of functions. f(x) ≥ 0, -1- √5 ≤ x ≤2-√√2,-1+√5 ≤ x ≤2+√√2 .…

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Q: If f(x) = 4x²-3x+12 and g(x)=2x³+1, then the degree of the (fog)(x) is: a. 3 O b. 5 Oc. O d. 4 O e.…

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Q: 3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine…

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Q: . Solve the following system of linear equations 2t 3x + + 4y 8y + 5z + 3u - 9t + - -1 -

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Q: Find the radius of convergence and interval of convergence of the power series n=1

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Q: Let E = {p1, P2,, PN} be a finite subset of a closed interval [a, b), and g : [a, b] →R be a…

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