Write v as a linear combination of u and w, if possible, where u- (3, 2) and w(2, -1). (Enter your awer in terms of Need Help? Read It Watch t

Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: [3 -2 21 The matrix A=0 -2 1 one of the eigen vector is (solve) Lo 0 11 250 Option 4 O [3] -2 -31 2…

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Q: Question: The two equal sides of an isosceles triangle measure 95 centimeters and the angles that…

A: The two equal sides of the isosceles triangle are, a=b=95 centimeters The angle that subtend them…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Topic = Series

Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: Represent the plane curve by a vector-valued function y=1-x^2

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Q: 2 y=0x=y f(x,y) dxdy =

A: Solution given below

Q: Find the general solution of the following differential equation. 81y" - 4y = 0 NOTE: Use c₁ and ca…

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Q: Find the Maclaurin series of xe³x. Σ n=0

A: Find the maclaurin series of x9e3x.

Q: 1. Stretching a spring A spring has a natural length of 10 in. An 800-lb force stretches the spring…

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Q: A tenant dropped a spoon from the top floor of her apartment building and it fell according to the…

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Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

A: This question can be solved using the concept of matrices and determinants.

Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

Q: find y' at y = f(x) уч x 2 x ² y - =1

A: Given function is :-x2y-y2x=1To differentiate it, use :-ddxu(x)v(x)=u(x)ddxv(x)+v(x)ddxu(x).and…

Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and the…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

Q: 3x e 1-ezx dx

A: Given, ∫ e3x1-e2xdx

Q: Surface integral is used to find Density O Area O 111

A: surface integral is used to find 1.density 2.area 3.surface 4.volume

Q: The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of…

A: We need to find out the distance between the given point and xz plane.

Q: Find the center and radius of the sphere with equation (x + 3)² + (y + 1)² + (z − 1)² = 64 Center:…

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Q: c) graph of Estimate the area under the f(x)=√x from x = 0 to x = 4 using four approximating…

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: Find all solutions to the equation. tan 0-1=0 Write your answer in radians in terms of it, and use…

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Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

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Q: Let f be a function given in the graph below. Note that the domain of f is [-3, 4]. a) Does f have…

A: Given the graph of a function. To determine whether the function has an inverse on the given…

Q: Define f by f(x,y) = ["h(t) where h is some continuous function of one variable such that h(0) h(1)…

A: We have to solve above question.

Q: The Eigen value of matrix p is (solve) ГО 0 Lo 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

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Q: an = arn+1 an = arn-1 * The general term of geometric progres Option 4 O anar" a" = arn-1 - Option

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Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: totals the proportion of observations that are less than or equal to the class at which you are…

A: Solution given below

Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: Solve: y'' + 4y' = sin (2x)

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Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: Let a = . Find a unit vector in the direction of a

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Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: The equation of the plane that passes by P(2, 0, -1) and that is perpendicular to the line x-5 2-y Z…

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Q: d²x x². - 5y = x + 1 is non-homogeneous second order differential equations with constant…

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Q: answer = Σ n=0

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Q: Question [ a) [1 b)' 1. : Evaluate 6 1₂° ₁x + 2 ): If Show all your work. then find f(x). c) [ graph…

A: a)∫26 (x+2)x-2 dxLet    x-2 = z2      implies     dx =  2z dzx=2   ⇒ z =0x=6  ⇒ z= 2The integral…

Q: The four figures below are graphs of the vector-valued function r(t) = 8 cos ti + 8 sin tj + (t/8)k.…

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Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…

A: Since multiple questions are asked I am answering first 3 subparts

Q: Let a =(4, 1, 5) and 6 = (2, -5,5). Find the angle between the vector (in radians)

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Q: You have 100 feet of fencing to build a pen in the shape of a circular sector, the "pie slice"…

A: Given the perimeter of the circular sector is 100 feet   i.e. r+r+s = 100   ⇒ 2r+s = 100    ⇒ s =…

Q: A particle in R2 has a velocity function of v(t) = (3t²-4, 6t + 2) (given in m/s). After moving for…

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Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below