2п 2п 3. Find the fourth roots of 16 [cos(3 Hisin(). 3

Q: Problem 1. * Solve the following differential equation: y" + 10y/ + 25y = 0

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Q: Express the function in unit step and find the Laplace: (-10 0 n

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Q: Find an equation of the tangent line to the graph of y=x at the point where x=e. ... The equation of...

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Q: 2. Let (2 2 -2 A = | 5 1 1 5 -3, -3 a. Compute e4 using the definition of the matrix exponential. b....

A: The given matrix is: A=22-251-315-3 a) Find the matrix eA using definition of matrix exponential. De...

Q: Equal versus Equivalent Given the two sets: A = {15, 16, 17, 18, 19, 20, 21} and D = {a | a € N and ...

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Q: Find the Laplace transform of t cosh 2t

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Q: When plotted, the 7 roots pf unity form a regular ______. A. Hexagon B. Pentagon C. Heptagon D. Deca...

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Q: Find the area of a quadrilateral having sides AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, i...

A: Given,         AB = 10 cm, BC = 5 cm, CD = 14.14 cm and DA = 15 cm, and the sum of the opposite angl...

Q: In the half-range sine series expansion of f(t) = e^2t for Osts1, find b7. O 14z[(1+e^2)/(4-497^2)] ...

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Q: * EIS HIUIcy Un storyoOOKS, superhero cards, or both. (2 Amy, Linda, Mark, Kelsie, Ryan, Angie and M...

A: Given- Amy, Linda, Mark, Kelsie, Ryan, Angle and Matthew are the seven players in a round-robin tenn...

Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

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Q: Find the center of mass of the given system of point masses 0 7 (*i, Yi) (2,4) (–1, 2) (2, –3) mi 3

A: The given system of point masses        mi        3          0       7     xi, yi    (2, 4)    ...

Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: Q.1 Put the D.E (x – 1)y" + 4.xy' + Ay =0 , in self-adjoin form .

A: If the diiferential equation is a0xd2yd2x+a1xdydx+a2xy=0 then its self-adjoin form will be ddxpxdydx...

Q: In the half-range sine series expansion of f(t) = e^2t for OstS1, find b7. %3D

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Q: Suppose [1]. 7(t) = cet + cze' -1 -3 -2 -1 -1 -2 j(0) = A B (a) Find C1 and C2. C1 = - -3-2 - C2 = -...

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Q: 1.) Represent each compound statements below in logical notations. 2.) Determine the truth value of ...

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Q: A wedge is cut out of a circular cylinder of radius 14 by two planes. One plane is perpendicular to ...

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Q: Which one is the unit normal vector of the plane spanned by Ä = 2î, – 6x, +2x, and B = 4x, + 3x, – î...

A: given vectors A→=2x^1-6x^2+2x^3 and B→=4x^1+3x^2-x^3 find the unit normal vector plane spanned by th...

Q: 22n + 2" +1 (-1)* 1. 4n + 3n +5 n=1

A: Given: ∑n=1∞-1n22n+2n+14n+3n+5 To determine: Whether the given series is convergent or divergent.

Q: There are 1,050 seniors in the class. 483 seniors want to go to a basketball game What percentage of...

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Q: Solve the recurrence an= 4an-1- 4an-2, ao=1, a1=1

A: a2= 4a1 - 4a0 So, a2= 4×1 - 4×1=0 Again, a3= 4a2 - 4a1 So, a3=4×0 - 4×1 = -4 Again, a4= 4a3 - 4a2 So...

Q: Compute the flux of the vector field F(x, y, z) = 41 + 45 + Sk through the rectangular region with c...

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Q: Consider the set V of all vectors of the form (x y 2) where x, y and z arereal numbers 3. Show that ...

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Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

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Q: Find n(L) for the following set: L = {x | x is a letter found in the word divisibility}. n(L) = Hint

A: Given set  L={x|x is a letter found in the word 'divisibility'} we have to find the number of letter...

Q: Consider the differential equation: 3y(7) 8y(®) x3 x4 f(r) By reducing the order of the equation, th...

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Q: 3.4a + 7.0v - 13.2s = -11.39 -6.0a + 4.0v + 3.5s = 4.98 2.7a + 6.0v + 7.1s = 15.91|

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Q: G = {a | a EN and 116 < a < 122} Use the roster method to list the elements in the set G. If the set...

A: Solution

Q: 3. Let W5 be the vector space of all functions defined on [0, 1], and let W1, W2, W3, and W¼ be defi...

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Q: Let {an}n=1 be a sequence of real numbers. We say that {an} decreases without bound, n=1 written lim...

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Q: Solv

A: Given: - The differential equation is, To solve: - The solution of the given differential equation ...

Q: Given a surface f(x,y) = -3x + (4)y². Find the derivative in the direction of v = at the point (6, ...

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Q: Č-1)" (1+2) 2. n=1

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Q: Imagine you have some workers and some handheld computers that you can use to take inventory at a wa...

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Q: Linear Algebra: State wheether the following statement is true or false with an explanation  Every H...

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Q: dy Find by implicit differentiation. dx (1+e*)=4+ In (x +y). y -x Select the correct choice below an...

A: We need to use following property/ value of differentiation  dxndx=nxn-1du+vdx=dudx+dvdxdexdx=ex

Q: The system can be rewritten as the matrix equation 6 -3 %3D y 1. Finding the Eigenvalues for the mat...

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Q: Compute f dx, where f(x)=|x |

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Q: Let F be a field and f(x) e F[x] be a polynomial of degree > 1. If f(a) = 0 for some a e F, then f (...

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Q: u:(x, t) = и (т, Urz(T, t) u,(0, t) = uz(1, t) = 0 u(x,0) = f(x)

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Q: In s-2 s² (s+z) ) Find I

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Q: Use the roster method to list the elements in the set: TI distinct letters of the word "senses". Use...

A: We have to write the distinct letters of the word "senses" in roster method.

Q: Q.1 Put the D.E ey"+2xy' + ây = 0, in self-adjoin form .

A: Given the differential equation e-xy"+2xy'+λy=0 we have to put the given differential equation in se...

Q: 1) Is the graph in Fig.1 a) a connected graph? b) a complete graph? c) a tree? d) a weighted graph? ...

A: Questions from graph theory.

Q: A Fnd

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Q: Let u(x, t) be solution of Utt - Uxx = Xxt -00 0 u(x, 0) = u(x, 0) = 0, Then u(2, 3) is equal to (a)...

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Q: The PDE x =0 is ax (a) Hyperbolic for x>0, y0, y>0 (b) Elliptic for x>0, y0

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Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

A: Introduction: The formula of washer method to find the volume of the solid is given by, V=π∫abR2-r2d...

Q: ric, then AP is skew symmetric for any pos

A: Introduction: A matrix A is known as skew-symmetric matrix, if transpose of this matrix is equal to ...