. What is the sum of the measures of the exterior angles, one at each vertex, of a polygon with 26 sides? A. 360 B. 4,320 C. 780 D. 1,170 7. If three measures of the first three angles of a quadrilateral are 62, 84, and 160, what is the measure of the fourth angle? A. 108 B. 45 C. 54 D. 90 9. Find the sum of the interior angles of a regular polygon of 13 sides? A. 1,980 B. 810 C. 1,620 D. 990

Q: olve the following: Each question is

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Find the solution of the initial value problem

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Q: Solve the following equation d² y dt² 2 + 2y = 3e sin t

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Q: Q2:Find out the completion time and the critical activities for the following project: D 20 8 B K 6…

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Q: Find the differential equation such that y(x)=c₁(x-4) 8+c₂ln(x-4) (x-4) 8 O 64x2 d²y d²y dx² +60x dy…

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Q: 3) Use the Divergence Theorem (Gauss's Theorem) to calculate the flux of F = (x - y)i + (y-z)j +…

A: Here we have to use Divergence theorem to calculate the flux.

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: 11. Given y'+y=5 sin(2t)   (a) To draw: Direction field for the given differential equation   (b)…

Q: Let A be an invertible matrix of size 3 x 3. Let {x₁, x2. X be a set of three linearly independent…

A: Given A is an invertible matrix of size 3 x 3.  We prove that if {x1,x2,x3} be a set of three…

Q: 9. Find inverse Laplace: 1 —— es S

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Q: → R be a ring homomorphism, where R is a commutat .. bn be some arbitary elements of R. then there…

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Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

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Q: 4. Consider the convolution f(t) = 24 2(t-11), where corresponds to the Heaviside or unit step…

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Q: 3 2 (4-x²) dy dx = 7 true False Q6

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Q: Prove that G = {a+b√2: a, b € Q and a and b are not both zero} is a subgroup of R* under the group…

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Q: Ва ut = Zuxx – ucot )=32 Т и (ч, t ) = 52 T2 heat equation Ic = 4 (xio)= 5x+2 осхи

A: First we transform the imhomogeneous boundary conditions to homogeneous boundary conditions. Then…

Q: 9. Find inverse Laplace: 1 es S ܀

A: Given: F(s)=e-1ss To find: Inverse Laplace of given function.

Q: 11. Determine the solution of Utt = u (x,0) = 0, u (0, t) = h, where h, k, and A are constants. c²ur…

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Q: 2. Use the elimination method to solve the system y₁ = 2y₁ + y2 + et, y2 = y₁ + 2y2 - t.

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Q: Suppose you want to have $600,000 for retirement in 25 years. Your account earns 10% interest. a)…

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Q: f: X → Y be a surjective function. Define a relation on X by setting ay iff f(x) = f(y). Show that…

A: Please check the solution in next step

Q: 12. Solving the y(t) = sen (54) - 25(u)du with y(0) = 0, we get the convolution y(t)=sen (5t)g(t)…

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Q: 2= The deformations of a body are presented as follows. Find the Cauchy strain tensor [Cij] and…

A: From the above details we get,

Q: 1. Let X be a topological space and be an equivalence relation on the elements of X. Define : XX/~…

A: Given: πx=x To find: Solution

Q: Use the Laplace transform to solve the initial value problem Note: Use u for the step function. y''…

A: We have to solve the given problem.

Q: 1.047i 4Q. Using De Movier's Theorem find all roots of √/25 e¹

A: The given problem is to find the all roots the given complex expression by using De Movier's…

Q: ) Draw a direction field for the given differential equation. ) Based on an inspection of the…

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Q: Find the Inverse af la place transform gigNu (m+ 7)) 9 = (3) M 25-3 3-45 +13

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Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: Find the solution of the given initial value problem. cos t y' - 10 t y = Y(T) = 0, t> 0 t-10¹ y(t)…

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Q: Use bisection method to find the root of x^3 –x^2 – 3x – 3 with two initial points xl=3 and xr=2 and…

A: The given equation is x3-x2-3x-3=0. To find: the root between 2 and 3 .

Q: Solve y" - 2y + 17y=0

A: If the roots of the characteristics equation are complex numbers a±bi, then the general solution of…

Q: (b) Find the Inverse Laplace transform of the function. G (s) s-7 s² + s-6 =

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Q: Find the solution of the given initial value problem in explicit form. sin(2x) dx + cos(8y) dy = 0,…

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Q: Topic: Theory of Interest a. Express i6 as a function of d2  b. Solve for d4given that i4 = 0.048.…

A: a) Given: The variables are i6 and d2 To find the function d2 expressed in terms of i

Q: Let pn (2) be the Taylor polynomial of degree n of f(x) = cos x about Problem 2. a=0. How large…

A: The given function is: fx=cos x The remainder for the Taylor series about x=a is determined as…

Q: d) 2log4128-5

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 19 Across: The equation ut  = uxx is commonly called the __________ equation.

A: We will use basic definitions of pde

Q: 1. Consider L{y(t)} = Y(s). By solving the equation ty"(t) + 22ty(t) = 0 con y(0) = 0 We have that:…

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Q: Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 -20 -5 4 0 1 0 0…

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Q: Fill in the table and sketch the graph of the following equation. f(x) = -2x - 5 3x + 18 =

A: The given function is f(x)=-2x-53x+18.

Q: 8)The dependent variable in a relation is usually placed in the and on the axis in a graph. a)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dy ² dx d²y dx² ev

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Q: Let Q be an open subset in C and f be a complex differentiable functic et BC 9 he a closed rectangle…

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Q: Question 2. Let E be the solid region inside the surface x² + y² + z² = 25 and above the surface z =…

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Q: list the three transformations being applied to f(x)= 4 sin(4(x-5))+5 parent function: f(x)=sinx

A: To find- List the three transformations being applied to fx = 4sin4x - 5 + 5.  Parent function: fx =…

Q: Let u = [3] [3] V= 9 Find 7 v-6 u.

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Q: Find all real zeros of the function. g(x)=-4x (x²-25)(x-3) If there is more than one answer,…

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Q: Iterations 08000 11 12 I 3 14 15 a square is inside the as In I1, octagon. If 1 diagran 12 has (1 +…

A: The diagram here represents a square shape inside an octagonal shape. In the first one, that is, in…

Q: Find the determinant of by cofactor expansion. 5 7 0 1 -7 0 -8 0 0 -4 0 - 2 0 0 0 -5 4 0 0 0 1 6 3 0…

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Q: lution of the given initial value problem in explicit form. 1 y' = (1 - 3x) y², y(0) = 8 2 -2-2x-16

A: