The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

Q: Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the…

A: Given: y''+16y=0

Q: The solution of differential equation y' + (cotx) y = 3 sin x cos x, x=(0,7). is:

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: [(x+1)e(x²+2x) dx

A: Given :∫x+1ex2+2xdx

Q: (t) below, find f'(x). f(x) = (3x³ + 3x²-4).x²

A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P+ 10P²,…

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Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given that,

Q: What is the area of the region bounded above by y = -3 MX. 54-3-2-1 1 2 3 4 45 O ভাল লাল নাল O O O…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: Find the vertical asymptotes of the function. y = 2x² +1 3x-2x²

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: Find the solution of the initial value problem y" + 16y = 0, y (7) = 8, y¹ (17) ² Sketch the graph…

A: See this solution in below.

Q: 2.1 2.3 2.4 2.5 1. 2. 2.1 QUESTION 3 2.2 2.3 Sketch the graphs of fand g on the same set of axes for…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: The following information is given. f(3) = 5, f(3) = -2, g(3)=2, g(3) = 7 f(5)=3, f'(5)=-1,…

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Q: 11) S₁0 x ³ lnx dx

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Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: Let R be the region bounded by a = y² and x = y + 2. Find the volume of the solid generated when R…

A: The given curves are: x=y2and x=y+2 Now find the point of intersection between the given curves.…

Q: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line…

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Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(1, 1) =

A: The given function is;  f(x,y)=ln(x+y-1).

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: Given that, A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another…

Q: D Operator: Solve the DE y" - 7y" +14y - 8y = 0 y = c₁e¹ + c₂e²x + c3e4x Oy=c₁e²x + c₂e4x + c3e6x y…

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Q: Find the area of the region bounded by y=x²-6r+5 and the z-axis. (a) A- 125 3 square units (b) A (c)…

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Q: tan ³ (3x) sec" (3x) dx

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Q: 12. R sed e A fourth-degree polynomial P(x) satisfies A4P(0) AP(x) = P(x + 1) - P(x). Compute…

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Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: ion 2. Find the domain of the vector function r(t) = (√5 – t², 1⁄2, et). t-

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Q: Finding nth Partial Sums In Exercises 1-6, find a formula for the nth partial sum of each series and…

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Q: Q4/1 1. Evaluate the following: 22x4 cosx dx dy ● ● Se St 50 x 3/201 e√x dy dx

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Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

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Q: Given that F(x) = a) F'(x) bl 5'(4) 2 1 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find

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Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

A: Given that,

Q: Solve using Inverse Operaators. y"" - y' = 4e-x + 3e2x; x = 0, y = 0, y = -1, y = 2 Particular…

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Q: T² T³ T Y pln(y+z) e dxdzdy = [Show your solution.]

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Q: Suppose w = x³yz + xy +z+3 and x = 3 cost, y = 3 sint, z = 2t. Then dw dt t= . [Show solution.] =

A: Given :w=x3yz+xy+z+3x=3costy=3sintz=2t

Q: . The step size (h) in Trapezoidal Rule for the integral ſ¹e³dx is equal to-- None of them O 0.25 O…

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Solution is given below:

Q: The first step in computing the area of regions using the limit definition is to write the given as…

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Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8²+45-23) (s²+45+13)³…

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: /. Find the limit of the = lim 4-√x²77 X - 3 1

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Q: 1 -1 -2 Use the figure below to find the exact values of the following definite integrals. 6 8 10…

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