Find the volume of a basketball 1. Plot the equation obtained in the XY plane 2. Illustrate the basketball and shade its area (find the area first) 3. After finding the area, rotate the y-axis

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Q: 1. When the function x is of a single variable e.g x= x(t) then the differential is termed (a) First…

A: When x is function of single variable t then differential of x = x(t) is given by  d(x) = d(x(t)).

Q: Test the series for convergence or divergence. 8n! n=1 convergent O divergent

A: We use Ratio test of convergence.

Q: 4.3. Show that the function f(x) = Ja² sin, if x 0, 0, if x = 0 is not of a bounded variation over…

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Q: 0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

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Q: Find the critical numbers of the function f(x) At x = At x = At x = = 12x5 + 15x4 - 20x³ – 6 and…

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Q: 6. 3π -<x<27. Draw the angle in the coordinate 2 plane in the appropriate quadrant IN THE SPACE…

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Q: Find the Laplace Transform of the function f(t) = X[0.1] (t)t + u₁(t)e™t.

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Q: Solve for x. 4.25x = 21.

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Q: The value of Az or h in Simpson's Rule is O O b-a T O b-a 2n b-a 3n O (b-a)

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Q: SOLVE THE FOLLOWING SYSTEM OF LINEAR EQUATIONS. Ax+By+Cz = A Dx-Ey+Ez = B Bx+Cy-Dz = C A = 2 B = 5 C…

A: here we will use Cramer's rule (as only y needed to be found ) For system of equation…

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Q: Identify the equation as separable, linear, exact, or having an integrating factor that is a…

A: Given,         2x+2ydx+2x-2ydy=0

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Q: Given f(x) = 3 - 4x³, use a table to estimate the slope of the tangent line to f at the point P(1,…

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Q: Use the Newton 2nd order method of finding roots of equations to solve the following: ƒ(c)= a-1=0…

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Q: 2) Given the following: f(x)=x²+2x+1; g(x)=x-1; and d(x) = √√x + 3, evaluate a. f(h+2) b. d(g(7)) C.…

A: a. f(h+2)= (h+2)^2+2(h+2)+1 = h^2+4+4h+2h+4+1 = h^2+6h+9 b. g(7)= 7-1=6 d(g(7))=9^(1/2) =3

Q: Show that the compactness in satability theorem is neccessary

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Q: If angle D measures 5(8x + 5) degrees, and angle B is 345 degrees, what is ? X =

A: angle D and Angle B are same  therefore  5(8x+5)=345 (8x+5)=345/5 8x+5=69 8x=69-5 8x=64 x=64/8 x=8

Q: 4.9. Show that if f has a bounded derivative on [a, b], then f is of bounded variation.

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Q: Given, A = 3 11 0 4 0 1 -1 1 Compute the determinant of A. Round your answer to the nearest whole…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" +…

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Q: 4b. Find the equation of the least squares line for the given data (-2,-1). (0.2). (1.3). (2.2).

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Q: 2. Given that F(x, y, z) = (e, xey + e², ye²) is a conservative vector field. a. Find a potential…

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Q: X 3. Solve the equation y'+ xy = with the Bernoulli substitution method. y

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Q: 2. Given the following system of linear equations: 3x₂ + 4x₂ = 1 X₂ = -1. 2x, + 4x₂ = 0 2x₁ 2x₁ 2x₂…

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Q: Using the Forward Divided Difference Method, manually solve for the approximate value of the first…

A: Given that: f'xi at xi=0.5△x=0.5, △x=0.25,fx=5x3-cos2x The objective is to determine the errors. Now…

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Q: If A, B, and C are matrices of the same size such that A-C - B- C, then A= B. O True False

A: Given A, B and C are matrices of same size.

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Q: For the following function f(x): -2.15 1 27 dx a) Use Simpson's 3/8 rule to find the area under f(x)…

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Q: a. Show that the Bessel equation of order one-half 1 x²y" + xy' + (xª¹ − ¹²¹)y=0, x>0, can be…

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Q: Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}.…

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Q: (jw+4) (jw+3) (jw+2) A (jw+3) + B (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

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Q: 20(12) e- e-라 2D 음....) 글 [(4-2) 라 라 &

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Q: Solve for all positive roots of the equation below using BISECTION METHOD. x^3-9x^2+26x-24

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Q: Which of the following subsets of R³×3 are subspaces of R³×³? A. The non-invertible 3 x 3 matrices…

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Q: Determine the shortest path from A to G A-B-E-G O A-C-D-F-G None of the above A-C-D-E-G F

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Q: Identify all of the rules that are used in each of the following arguments: Ted has a happy ending…

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Q: Find V x F for F(x, y, z) = -IZ -yz √₁² + y²² + √²² +2²² =j + √√x² + y²k.

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Q: 4. Find the Laplace transform of (a) f(t) et cosh² t (b) f(t)=tsin 6t (c) t³8 (t)

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Q: 4. Find the complete general solution, putting in explicit form of the ODE x"-4x'+4x=2 to find the…

A: Introduction: A second-order differential equation is a particular kind of differential equation…

Q: Let T: R³ → R², C canonical base of R² and B = basis of R³. • ( 1 ) = (x + 2), ² (y t then [7]…

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Q: Given, [1 2 2 3 L3 1 Which of the following about matrix A is not true? A = 2 O NONE OF THE CHOICES…

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Q: 2. 2-3i, assuming x > 0 3. e3r-5ri 4. x5+2i, assuming x > 0 I

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