Suppose that a fair nine-sided die is rolled 21 times and that the number '7' was rolled 5 times. Then what is the relative frequency for the number of '7's rolled out of the 21 rolls? Select one: O 5 O O O 0.2 O 21 27 52722 25 21 21

Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

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Q: Show that lim(5x+2)=-18 x-> -4

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Q: K*2K-1 show that the set u (2²2) is open K =) (Hint-Ch-Exercise and find its measure 1.53 3.]

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Q: Q2: Find the double integration ff (4x + 2)dydx D ={(x,y):0<x<2,x<y<2x}

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Q: Solve the following equations by Jacobi Iteration Method. 8 X₁ + X₂ X3 = 8 X₁ 7 X₂ + 2 X3 = -4 2X₁ +…

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Q: Solve the system below. Note that the solution can be found mentally, without the use of a calcula…

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Q: Question 1 2) Let f(x) = {i: Find the Fourier series of f(x) -≤X <0 0≤x<*

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Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: The complex number: z=x+iy can be represented in its polar form as z=rcosθ+isinθ. Here, r=x2+y2,…

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Q: 5. Find the z-coordinate of the centre of mass for solid G where G is the solid in the first octant…

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Q: nd show all your work. (also the answer is o

A: Introduction: An arithmetic series is the sum of the terms in a specified number of words arithmetic…

Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y² - 8)y dy = 0

A: According to the guidelines we are supposed to do one problem.

Q: Apply gauss jordon method to solve the system of equation 3x + 8y +29z = 71 83x + 11y - 4z = 95,…

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Q: 04: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective…

A: Given: A group of 30 manufactured pipes contains 8 defective and 22 non-defective pipes. A sample of…

Q: Figure I shows a continuous piecewise function's graph. f(t) 4 3 2 1

A: This is a problem of Laplace Transform.

Q: B. find polar form of the complex number Z= = (2√3-4i) + (-√3+51).

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Q: With T defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is…

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Q: The 15 But the Real number blally ordered Complex

A: This is the question of topology.

Q: Find the power series for given function

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A: We find required equation of plane in given form.

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A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

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Q: Use Green's theorem to evaluate f (x²y) dx + y²dy here C is close path formed y = x and y = x³ from…

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Q: 1- Lets == 2- Discus {+ : neN}. Find max(s), min(s), sup(s), inf(s). mean

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Q: - Q3): If xfx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n − 1)f

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Q: Use the Saving for Retirement information above to answer this question. If your monthly payments…

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Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches ∞o, and (C) the limit as…

A: Solution

Q: 6. Verify Euler's Theorem for n = 16 and a = 5. (7 from 6.5)

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Q: Find the Fourier series of f(x) estion 1 1) If f(x) = x,-2<x<2

A: We have to find the Fourier series of the given function f(x).

Q: find powe

A: The question is from sequence and series.

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Q: Let S1 = {(x,y)/ x2y-3), S2 = {(x,y)/ Os x ≤3, 1≤ y ≤5) and S3 = {(x,y)/ 0<x<3, 1sy≤5}. Then: * O S1…

A: A subspace of ℝ is compact if it is closed and bounded. Now, S1=x,y / x≥y-3 This is not bounded. We…

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Let the present value is PV Future value FV=$2000 Time t=712 year Interest rate r=5% We know the…

Q: (A) f(2)-f(1) (2)-(1) QIn parts (A)-(C), find the indicated quantity for y=f(x) = 5-x².

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Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ +. 4 16

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - - 2xy = 4y4, y(1) = -…

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Q: Draw a flow chart of Runge Kutta Method of second order to solve the initial value problem…

A: Given initial value  problem is Fx, y = dydx = 4x4 -5x2 -y2 +6y Take   dydx = gx, y Here, gx, y  =…

Q: Q6/Use Runge-Kutta method to solve (dy/dx = x³ + y2), y(0) = land h= 0.2, find y(1)

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Q: s) The given curve is rotated about the x-axis. Find the are √2x +3,0 ≤ x ≤ 6. of the resulting…

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Q: 2355 cm3 b. 4165 cm3

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Q: 8. Explain using a slope field which of the following graphs could be a solutio to the differential…

A: lets draw a slope field for dydx=x-y

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Q: q25-

A: A denote the event that we will observe the number less than or equal to 8. So, A contains the…

Q: Given the real symmetric matrix A: 1 2 -1 A = 2 8 -4 -1 -4 7 (a) Apply elementary row operation III…

A: AS PER THE COMPANY GUIDELINES WE ARE ALLOW TO SOLVE MAXIMUM THREE SUB-PARTS SO I AM DOING FIRST…

Q: Solve the following initial value problem using Laplace transform d²y_dy dt -2y = 6e³; dt² - y (0) =…

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