1. If the region bounded by the two curves is revolved about x = 4, what is the volume of the resulting solid? 12 y = vx + vx² -1 3 y = ux? - - VX - 3 Answer: V = 201.0626 cm³

Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

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Q: 5. Graph the function and find the domain and range. 10 1 x + 6 x < -6 x +4 -6<x < 2 f(x) = 4 5 --x…

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Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: Q.2/ Change the following Cartesian integral into an equivalent polar integral and evaluate it:…

A: We have to evaluate the given rectangular integral which has rectangular coordinates by changing…

Q: 1. Given the functions f(x) = x + 3x + 2 and g(x) = x + 1, determine a simplified equation for h(x)…

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Q: Must a subspace of a hausdorff space be hausdorff? If it must be hausdorff then prove it. If it need…

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Q: A curve is defined implicitly by the equation x²+xy+y? =1 dy Differentiate implicitly to find dx

A: here we use basic differentiation form.

Q: dx x2+x The numerical value of e! will be ....

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Q: 2 Determine the domain and range of the function y = Vx* + 10x + 24.

A: Domain is the values of x for which this function exist. Range is set of all the values that can…

Q: . Let n 2 3 be an odd number and f(a, y) = (x" + y")'/n. (a) Determine if f(x, y) is differentiable…

A: We will only use the basic knowledge of the differentiability of functions of two variables to…

Q: Examine the leading term of the function P(x)=-2x³ + 3x² – 5x+3. Determine the far-left and far-righ…

A: The nth order polynomial is represented as p(x)=axn+⋯+bx+c. Here, a is called the leading…

Q: Use the method of undetermined coefficients to solve the differe equation dy + ay = cos br, dr?…

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Q: In Super Mario Bros 2 there are a total of 20 levels. Ninji and Birdo are two of the enemies that…

A: Use the following formulae, to obtain the solution. PA=nAnSPA∪B=PA+PB-PA∩BPA|B=PA∩BPB Where A and B…

Q: following rough conversions ish systems, 1 in = 2.5 cm, A man m (Show all your steps to solve the

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Q: 2. Let R = {(x, y) : x, y E R}. Prove or disprove that R is reflexive, symmetric and/or transitive…

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Q: QUESTION 10 A classroom of children are asked to indicate which Power Ranger is their favorite. The…

A: Frequency is defined as number of times something is observed.  Using this defination of frequency…

Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x³ + 7x?+ 3x. %3D

A: This we shall do by inspection method. The detailed solution typeset in latex is presented as the…

Q: AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $48,000 and a…

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Q: 05- The distinct residue classes comprising F[x]/f) can now be deseribed explicitly; namely, ups…

A: See answer below.

Q: Use either integration by substitution or integration by parts as needed to evaluate x+1 x2+2x+1…

A: Here we use substitution to solve this

Q: Answer the question. 16) Ben hits a homerun that has a height defined by the function h(t) = -16t2 +…

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Q: - - - -8 and a. Find the area of the parallelogram formed by u and v. b. Find the volume of the…

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Q: Let f (x) = Then the power series of f (x) and the radius of convergence are given by X-3 A. - 3<x<3…

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Q: propriate answer. The Fourier series of -1 <x<0 |x, 0<x <1 f (x) = %3D converges to f(x) for all x E…

A: Suppose f(x) is a piecewise smooth function on a closed interval -c≤x≤c. The Fourier series of f(x)…

Q: (d) Let ø(x) = x - 1, x > 0. If defines an odd extension of o to the entire real line, then for r…

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Q: Given the graph of the function, determine the equation. Hint: base function is f(x) = Vx 8 10 (0,…

A: Given is a graph of the function whose base function is f(x)=x   To Find: The function for the given…

Q: Q2/Using inverses to solve the equations: 4x1 + 5x2 + X3 = 2 X1 - 2x2 - 3x3 =7 3x1- X2 - 2x3 =1

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Q: Let z=In(x²+y²) where x=ue"sin t and y = ue"cos t. If u=- 2 and 1=0 then is equal to %3D ....

A: Multivariable function: When a function f has more than one independent variable and only one…

Q: 6.

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Q: tsin 3t fre>=5. ー3七

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Q: Evaluate the integral: I = ∫∫∫s  2z dxdydz where the solid S is defined as: S =  { (x, y, z) ∈ R3…

A: The integral given is as follows: I=∭S2zdxdydz The solid surface is defined as follows: S=x, y,…

Q: 4. Solve the following differential equation dy + y = xy² 1'

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Q: Obtain the following Laplace ti 1) L{cos3t + 5e-t} 2) L{e¬3t (2t² – 5t + 1)} 3) L{sin7t – cosh3t} -

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Q: 6. Find three geometric means between 2.6 a. and 9 9. b. 2 and 162

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Q: e laplace transform of cos at using the formula L{f (t)} e stf (t) dHencefind the laplace transform…

A: Laplace transform of the function

Q: 1. Use long division to find each quotient. Divide the first polynomial by the second. 6x + 11x2-…

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Q: Indicate whether the series (-1)" n2 +1 n=1 Converges absolutely O Converges conditionally O…

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Q: 1.047 Determine the five roots of 32e Show the roots in Argand's Diagram.

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Q: 8. Find the indicated term of each harmonic sequence. 26 dai 1 1 1 1 a. 5'8' 11' 14' 10th term ... 1…

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Q: 4.1.1. Definition. A separating set or vertex cut of a graph G is a set S C V (G) such that G – S…

A: Let K(G) is the vertex connectivity, which is the minimum size of a cut set of G. And δ(G) is the…

Q: QUESTION 3 Channel 6 News runs a poll on social media asking their followers to rank four local…

A: As per Plurality Method, Winner is the candidate who gets more votes as compared to another…

Q: Use the Upper and Lower Bound Theorem to find the least positive integer and the greatest nee…

A: Upper Bound Theorem for the Real Zeroes of a Polynomial: The theorem says that if you divide a…

Q: on this o

A: Let             z=(3+j4)(1+j2)

Q: Determine the periodic payments PMT on the given loan or mortgage. (Round your answer to the nearest…

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Q: 8. Find the indicated term of each harmonic sequence. 26 1 1 1 1 a. 5'8' 11' 14' 10th term ... 1 1 1…

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Q: Consider the function f(r) = The value of f'(0) is: (r+1)2 (a) 1 (b) -2 (c) 3 (d) None of the above…

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Q: (c) The solution of the following problem for the wave equation on the half-line: x > 0, t> 0, u(x,…

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Q: 8. Find a fourth degree polynomial function with zeros 4, –2, 3i, and -3i.

A: If x=a is a zero of a function f(x), then f(a)=0 and (x-a) is a factor of f(x).Here, it is given…

Q: Q4/ Solve the differential equation a) xy. = 1+x + y+ xy dx

A: Solve the differential equation, by Variables separable method

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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