Ikeoluwa collected data on whether 65 professional golfers have practiced for at least 10,000 hours in their career and whether they have won a major championship. The Venn diagram below shows her data. Complete the following two-way frequency table. Have practiced for at least 10,000 hours Have not practiced for at least 10,000 hours Have won a major Have not won a major 10,000 hours Won major 14 37 8

Q: 11. Find all integers x and y, 0< x, y < n, that satisfy each of the following pairs of congruences.…

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Q: 9. Prove that if {fn(x)} converges uniformly to the function f(x) on each of the sets A1, A2, ...,…

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Q: How long is this side? 1.7 cm 71° 21 2.2 cm 1.7 cm 4.3 cm 53° 37 2.1 cm 3.2 cm 2.9 сm 42 3.8 cm 3.6…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: Solve the system of inear equations, using the Gauss-Jordan elimina the parametert. Use s if a…

A: According to our guideline we are supposed to asnwer only first asked question.kindly repost other…

Q: Calculate the work done by the field F when the object moves along the given path from the initial…

A: To find Work done by the field F when the object moves along the given path.

Q: Find the area of the shaded region. Vcos 20 r = 2 cos 0 NOTE: Enter the exact answer. A ||

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Q: A. Find the area enclosed by each of the following curves. T= 4 sin e

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Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. A) y(t) = sin…

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Q: Find the solution. (у -х + ху сotx) dx + x dy %3D 0 A xy sinx = c + sinx - xcosx xy tanx = ccosy…

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Q: Use the Venn diagram to determine n(U) - n(B). A В three four seven 16 06 n(U) - n(B) =

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Q: Consider the following IVP: y' +y = e2t; y(0) = 0 Find the general solution. A y(t) 2 B y(t) 5 y(t)…

A: Given differential equation is y' + y = e2t ; y(0) = 0

Q: Which of the following is the general solution to the differential equation (3s – 2t + 1)ds = -(3s –…

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Q: 16. Prove that an integer (a,-1an-2 · . . ao)10 is divisible by 11 if and only if ao + a2 + a4 + . .…

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

Q: Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5…

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Q: 31 3t and y =: 1+1' Convert the parametric equations to parametric form, sketch the graph and 1+1'…

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Q: dy Given the differential equation, 2x+ 4x²y = 5e". dx i. Determine function for P(x) andQ(x). ii.…

A: Note : The differential equation given has been changed to            2xdydx+4x2y=5ex Given :…

Q: Show that the lines L:a =4- t, y = 2t, z =1+t and L2:2 =1+ 21, y = 3 – 4t, z = 5 – 2t are parallel…

A: This is a problem of 3D analytical geometry and application of calculus, vector calculus.

Q: Find the series solution of (1-x2)y’’+2xy’+y=0 using the Frobenius method

A: We have a given differential equation ,  1 - x2y'' + 2xy' + y = 0 Let , y = ∑n=0∞ anxn  be power…

Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

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Q: How many permutation of the letter ABCDEFGH contain the string ABC?

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Q: 1,2, ..., let A; = {i,i + 1, i + 2, …. }. Find ỦA. For i i) ii) N A, i=1 i=1

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Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: Which of the following is the general solution to the differential equation (x +2y)dx + (x + 2y +…

A: The given differential equation is…

Q: X(1) h(t) 2 t 4

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Q: Find the solution. dy +y= dx 1+e* A y = ce¯*+e¯*In(1+e*) B В y = ce¯ – e ¯*In(1-e*) се © y =…

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Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: Gauss's three-point formula to evaluate the integral I=∫abfxdx is: I=b-a2w1fx1+w2fx2+w3fx3 Here we…

Q: Translate the following sentences into predicate logic : a. All animals like honey b. At least one…

A: Use the given statements.

Q: 9. Use the series solution to solve the problems. a. xy" + 4y'-xy = 0 b. xy" +2y' +4xy 0

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Q: Evaluate the integral shown using Simpson's 3/8 Rule with 30 panels. 12 ) dx 4arctan O 32.52059525…

A: Given integral is ∫2124arctanx6dx

Q: 2 Mrs. Rogan is a Mathematical teacher -she gives a 60-item test The scores OF e 46,…

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: We will convert given differential equation into linear differential equation by appropriate…

Q: 16. a(1) = t i + e'j+ e¯'k, v(0) = k, r(0) = j + k

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Q: sed betv la y = x² 2

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Q: exercise Find the laplace of each f(t) F{t)=2{ ´1 0 3 t 3.

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Q: Truth Table. Complete the missing items with the Answer 1 or 0 only.

A: According to the given table, we have to find out the truth value of missing items.

Q: What is the particular solution to the differential equation dx 1 + y = 2e-* with y = 1, dy -1 when…

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Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-'(1 – e!-") y = x-2(1 + e'+*) © x=y-'(1 + e'-1)…

A: Given differential equation is xy'+xy = 1-y, y(1) = 0

Q: 1. Are the following matrices diagonalisable? Explain your answer. 2 0 50 1] a) A =-2 3 -1 -2 0 3 c)…

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: Prove the following using the rule of replacement and rule of inference. Let C = set of all students…

A: This is a problem of Logic.

Q: 12. In a standard deck of 52 cards, each card has a suit and a rank. There are four suits (spades…

A: We have to find the probability that the 5 cards in this hand consist of 3 Aces and 2 Queens.

Q: Which of the following is the general solution to the differential equation x- 2x (2) + = 0? xln2 +…

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Q: Consider the vector space generated by [0, 1, –1, –1], [1,0, 2, 4], [1, 2, –4, 0]. Find an…

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Q: Solve the system of inear equations, using the Gauss-Jordan elimination method. ar there is no…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: When the centered difference approach of f (x) = sin r - a+1 is used to estimate the first…

A: When the centered difference approach of f(x) = sinx-x³+1 is used to estimate the first derivative…

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: This is the problem of optimization.

Q: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: (b) y = 4xª+(3+51)x³+5x²-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Given curve,  y= 4x4+(3+51)x3+5x2-(100+1)x-400 To find the slope of the tangent on this curve at…

Q: 17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A)…

A: We have to find the general solution of the differential equation y2+9dx+(3x-2xy)dy=0.