Use integration by parts to establish the reduction formula: Jx" cos x dx = x" sin x – n x"-1 sin x dx

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3 A e(2cos21 + – sin2t) B e-2' (cos2t+ sin21)…

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Q: Using MOSA find the polynomlals that will approxlmate the solution to: y'= x2 + y; y(1)-1. y1(x). A…

A: y'=x2+y;    y(1)=1 f(x,y)=x2+y;    y0=1

Q: Consider the function f (x.y) = Which ONE of the following statements is TRUE? A. lim f(1.y) exists…

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Q: Ikeoluwa collected data on whether 65 professional golfers have practiced for at least 10,000 hours…

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Q: Find the solution. dy x3– 2y dx х A x= -+ 5 3x3 2y2 5 x3 C x2 5 D xy = + 3 B

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Q: (2) (: Let 2 be a domain without boundary. Find an functional E(u) such that the Euler-Lagrange…

A: Given that :-     Let   be the test function , using mean value theorem  after integration…

Q: (D4 + 6D3 + 9D?)y = 0 Ay = (c,+c)x+(c3+cx)e* , 3x y = c,+c,x+(cz+c,)e* y = c,+c*+ -3x D +

A: Given differential equation is (D4+6D3+9D2)y = 0

Q: x+y3 Consider lim Which ONE of the following statements is TRUE? (.y)- (1, -1) x+y A. None of the…

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Q: Compare the answer of the expansion of the binomial expression (1 + x)-3 = 1-3x + 6x2 -10x3  with…

A: We have to compare the binomial expansion of (1+x)-3 with the first four terms of Maclaurin series…

Q: For x,y E [0,1], prove that xy(1-x-y)≤1/27

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Q: Match the graph with the correct rational function. 5-4-3-2-1 1 2 3 45 Oy =- ++2 O y = --2 Oy = +3…

A: We can draw these equation to find our graph and to get the answer.

Q: the matrix -2 -3

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Q: 36 for 0 <= u <= 6 and 0 <= v <= 2(pi) where <= is less then equal too where pi = 3.1415

A: Introduction: An ellipse is the locus of all points that satisfy the equations.x = a sint,  y = b…

Q: Let A and B be subsets of a universal set U, show that An B) U (A n B) = A

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Q: Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. /½(c,cosx+c_sinx) + cge -2x y = c ,xe-2* + e A…

A: Solution of the Homogeneous differential equation

Q: A class president is chosen by a popular vote. The winner of this election will be chosen by…

A: Given: 1st Place Sergio Maria Alison Alison 2nd Place Alison Alison Maria Sergio 3rd Place…

Q: x² – 2x – 1 = 0 The equation above has solutions x = 2 + Jn and 2 2 - Jn , where n is a positive…

A: Let us consider the quadratic equation ax2+bx+c=0 The solution of the equation is obtained using the…

Q: Consider the sequence of functions {fn} defined on the interval (1, 0), where fn (x) 1 Vx E (1, 0),…

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Q: Find a basis for W, the orthogonal complement of W, if W is the subspace spanned by 2

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Q: Which of the following definitions for the relation R (defined below) on A would constitute an…

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Q: QUESTION 1 Given a differential equation (3+x²) + 2.xy= (3 +x² )x² dx (а) Solve the differential…

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Q: A series circuit contains a resistor with R = 10 ohms, an inductor with L = henries, a capacitor…

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

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Q: FIND THE MALLAURIN SERIES for flx) L DEFINITION oF A MALLAUREN SEREs, AssumE

A: Introduction: Let f(x)=∑n=0∞an be a series, then the series will converge if L&lt;1, where…

Q: 1. Use a triple integral to find the volume of the solid that lies under the plane z = 1++y, and…

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Q: The domain and the range of z=cosh x+y are represented respectively by D={(x,) ER X R: and R=(- 00,…

A: Domain is set of points where function is defined , range is image set of function.

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

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Q: Ikeoluwa collected data on whether 65 professional golfers have practiced for at least 10,000 hours…

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Q: Write a triple integral in spherical (d(rho)d(phi)d(theta)) and cartesian coordinates (dzdydx) for…

A: A triple integral involves the integral with respect to x,y, and z. In this problem, we have to…

Q: dy What is the general solution to the differential equation — 1 + бхе*-У? dx yey-x = x – 2 In(x +…

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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: In the following exercises, S is an infinite set of positive integers arranged in increasing order:…

A: Given that, two sets S and Sm, where S=n1,n2,n3⋯⋯⋯ and Sm=n1,n2,n3⋯⋯⋯,nm, where S and Sm is infinite…

Q: eVx² +y?+z? T(e4 – e)(x² +y² + z?) Let f(x, y,z) Let S be the solid bounded by the xz plane and the…

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

Q: Match the differential equation with it's particular solution form. | y’’ – 6y' + 9y а. Ate 2t |y'’…

A: We have to match the following differential equation with it's particular solution form.

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Given, three positive numbers whose sum is 18 and such that the sum of their square is as small as…

Q: 2. Graph the function f(x) = Identify asymptotes and holes in the x2 – 4x +3 graph.

A: If f(x)=p(x)q(x) is a rational function, then (a) f is not defined at the roots of q(x). (b) f has…

Q: Determine and draw the graph of the following equation in R3 : z = 1 – e® Also show the traces

A: A quadric surface is a graph in the three dimensional space ℝ3. The trace of a quadric surface is a…

Q: Use variation of parameters to solve the given nonhomogeneous system. X' X - -7t e X(t)

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Q: Determine if the vectors are linearly independent Justify your answer. 6. 12 - 36 The vector…

A: The given vectors are                                     700,    8   3-6,    9  12-36 We have to…

Q: Find one value of x that is a solution to the equation: (3x – 2)2 – 4 = 9æ – 6

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Q: Relationship Y= (ax+bX) - Find the Linearizationof Nonlinear

A: This is the problem of application of differentiation.

Q: Q2: Use vector to check whether the points A (4,3,2), B (4,3,0), C (4,0,0), and D (4,0,2) are…

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Q: Let fcx)=X,XE [ar} Shaw that fe Riemann Loll and find Sede

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Q: 1/3 In (x+1) The series representing the integral dr is given by O A. (-1)"+1 n=1 3" (n+ 1) 2 O B.…

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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: Prove: for n > 1, F; – Fn+1 Fn-1 = (-1)".

A: F_n are the Fibonacci numbers which are defined by F_0=1,F_1=1 and F_n = F_{n-1}+F_{n-2} for…

Q: Consider the following abbreviations: AST: Alternating Series Test CT: Comparison Test IT: Integral…

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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: Show the span {(1,0, 1), (-1, 2, 3), (0, 1, – 1)} is all of R'.

A: Let x=1, 0, 1, y=-1, 2, 3 and z=0, 1, -1. We have to show that spanx, y, z is actually the vector…