Compute for the mean, the variance and standard deviation of this frequency distribution. Score Number of Students 3 10 4. 12 15 3

Q: Evaluate the indefinite inte (a) / x cos(x*)dz

A: Evaluation of integral using Taylor series expansion

Q: 5|, B= -14|, and C = |2 2 -11 B and C linearly dependent, or are they linearly independent? -arly…

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Q: Use the above to answer the following questions. 7.1 Find a basis for the nullspace of A. 7.2 Find a…

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Q: Suppose we have two 1 metre long rods. Each rod has a temperature of 0° on its left end with the…

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Q: 1.f(t) = te¯3t cos² 2t

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma.…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: According to the Gauss Divergence Theorem, the surface integral of a vector field A over a closed…

Q: Find the general solution of the given system of the differential equation V2 (a). X' = V2 3. -2 1…

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Q: 1- nullspace af now equivalent to the for the 1 1- 2. C. that puy -2 B. assume matrix pand Let A

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Q: Find the derivative using the definition fex)- = C fcx) fCx) = そり f ex) = KX" f cx) fx) = gx).hcx) 9…

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Q: Evaluate the indefinite integral as a power series. What is the radius of convergene (a) (b) /= x -…

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Q: Question 1. Given a metric space . (a) If x, y E X and p(x, y) 0, prove that x = = y. (b) Prove…

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Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~ p ^q] →…

A: A) prove that the following are equivalent by constructing truth table 1) p∨~p∧q↔p∧q 2)…

Q: Assume that n ∈ N. Prove that if 3|(2n + 1) then 9|(10n^ 2 + n − 2).

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Q: 3.f(t) = te2t sint

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Q: Examples: find the inverse laplace F(s) = 2s2 + 5 s3 +6s? + 5s -12

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Q: b) Consider the following LP problem. Maximize z = 3x1 + 4x2 + X3 Subject to X1 + x2 + x, 5 50 2x, –…

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Q: (b) Use Stoke's Theorem to evaluate the line integral $ (3? – 22) dr + (z² – x²) dy + (y² – x²) dz,…

A: Stokes theorem  ∮CF.dr=∫∫SCurl F .dS Where S be a smooth surface that is bounded by a  closed,…

Q: A function f(x) is given as e* * (x²+5x+2) + 1 = 0. Let a = 0 and b = -1. Find the root between a…

A: Given:   f(x)=e-x(x2+5x+2)+1a=0, b=-1 To find the roots using bisection method

Q: - 4x, + 2.x, – 2.x, = 0 X - 3x, - x, = 7 3x, - x2 + 4.x, = 5 %3D

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Q: 6. Evaluate for the derivative estimate of the function at xi = 0.8 using the step sizes h = 0.01…

A: "Since you have asked a question with multiple sub-parts, we will solve the first 3 sub-parts. For…

Q: The following table lists several corporate bonds issued during the second quarter of 2015. Company…

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Q: Consider the following system of tanks. Each tank initially contains V1 = 200 gallons and V2 = 300…

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Q: An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study…

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Q: y' = 3x²y

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Q: a) Polokwane municipality has got three reservoirs available to supply the water needs of three…

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Q: Evaluate the double integral. dA, D.

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Q: A person purchased a new car for $26,200 and finencad the entire amount Suppose that the person can…

A: We will form a differential equation for money owed  on the  car loan and then solve it to get exact…

Q: (5xy --- 6x(2^

A: Given,        F=(5xy-6x2)i+(2y-4x)j and   y=x3 from the point (1, 1) to (2, 8).

Q: =D13 3×ナ57+12 54-92+ 3W 子2 -G0 tチx 3W-2X -59 =50 =-50 ニ12 Fcanned with CamScanner

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Q: Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 2 = -11, x, = (1,…

A: To verify that given eigenvalues and eigenvectors are belongs to the given matrix A.

Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: Evaluate the integral / (4x + 18y)dx + (27x – y)dy along the parabolic arc y = 2? from (0,0) to (1,…

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Q: Let f, g: R → R defined by if x 1 f(x) = %3D and g(x) = 3x + 2. %3D fog and go f.

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Q: 土

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Q: 4 0 b Let M 3 -7 be a three-by-three matrix with a =3 and b =0. What is the a -1 2 determinant of…

A: Here given that M=   4 0   b   3 a-7-1  2   1 be a three-by-three matrix with a=3 and b=0. We have…

Q: Given the differential equation y'' + 5y' – 5y = - 4 sin(4t), y(0) = 2, y'(0) = 0 Apply the Laplace…

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Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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Q: A tank initially contains 200 L of pure water. Salt enters into the solution constantly 5 kilograms…

A: This is the problem of modeling.

Q: Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 0 -1 -2 1 100 0 1 1-1 0 0 0 0 0 0 1 1 -1…

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Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that has a power series…

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Q: Let V be the vector space of 2 x 2 matrices over R. Determine whether the matrices A, B ,C E V are…

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Q: Use a software program or a graphing utility with matrix capabilities to find the eigenvalues of the…

A: Introduction: An eigenvector or characteristic vector of a linear transformation is a nonzero vector…

Q: Let X be a normed space then 1- ||0|| = 0 2-I1-xl = |지l, Vx E X 3- ||x - yl| = |ly - x|,Vx, y E X…

A: As per the policy, we are solving first three subparts. Please resubmit the question and specify…

Q: Show that the following nonlinear system has 18 solutions 0 <α < 2π, 0 < β < 2π, and 0 < y< 2π. sin…

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Q: Use the Divergence Theorem to compute the net outward flux of the field F= (4x, y, - 2z) across the…

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Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

A: The given volume of the tank is 100 L. Let v=1+cos2t and cs=0.21+cos2t. The initial time is 0 min…

Q: 10.Sketch graph of the following multivariable functions a. z = +1 b. + c. z² = x² ++1 y2

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