True or false: If a is any integer, then (5a + 2,7a + 3) =1. Justify your answer.

Q: Use Stokes' Theorem to evaluate JJ curl F. ds. F(x, y, z) x²z²¡ + y²z²j + xyzk, = S is the part of…

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Q: Find the cube root of 4-4√3i that graphs in the second quadrant. °) O [?] (cos + isin

A: Here we have to find the cube root of 4-4√3i.

Q: Show that the transformation w = maps the circle x² + y² - 4x = 0 into the straight line 2z + 3 4 Z…

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Q: only HANDWRITTEN answer needed ( NOT TYPED)

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Q: A solid lies between planes perpendicular to the x-axis at x = 0 and x = 19. The cross-sections…

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Q: A Company produces three models of VCRS Model 1, Model 2, and Model 3, at two facilities, A and B.…

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Q: Given v = -7i- 6j and w=5i - j, find the angle between v and w What is the angle between v and w? 口。…

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Q: A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a…

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Q: Convert the differential equation u"+u'-u = e³t into a system of first order equations by letting x…

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Q: A = B = 1 2 10 0 2 5 1 1 0 3 7 2 2 -2 15 34 11 2 4 10 30-4 0 1 -1 0 0 0 00 NT 2 01-2 0 0 0 (a) Find…

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Q: Let v = -7i+ 3j and w=-i-4j. Find 4v - 4w.

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Q: 28. Use the following scenario and frequency table to answer the question. The recreation center is…

A: They given the observed table  now from that we have to find out the Expected table so…

Q: In Exercises 11 and 12, find the closest point to y in the subspace W spanned by V₁ and v2. 11. y =…

A: The objective is to find the closest point to y=3151 in the subspace W spanned by v1=31-11 and…

Q: What is the birth reproduction number of the SCIR model

A: We have to define the birth reproduction number of the SCIR Model. The SCIR model is a compartmental…

Q: Solve: y""-12y"+45y'-50y = 0 y(0) = −3, y'(0) = −11, y'(0) = -53 y(t) =

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Q: ven a matrix A in its RREF form 0 A=1 0 0000 ܘܘܘܘܐ 1 €0-000 ooow 00100 0 0 Tota Compute the bases…

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Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

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Q: In a recent survey, people were asked to vote for their favorite films of all time. The five movies…

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Q: Evaluate the integral dV, where E is the portion of the unit ball x² + y² + z² ≤1 that E lies in the…

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Q: Nc. Repeat part a with h = : 0.025. Compare the results with those found in a and b. Nd. Find the…

A: y'=3+t-yy0=1

Q: Find the general solution of the given system of equations. O O C O X = C1 X = C1 X = C1 X = C1 X =…

A: Given system is  X' = 7-501-7 X + -cos tsin t             Let  X = xtyt then we get…

Q: Given that {an, 92, 93, any is a linearly independent set of vectors in a Vector space • V'( note…

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Q: Let v be the vector from initial point P₁ to terminal point P₂. Write v in terms of i and j. P₁ =…

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Q: Prove that 277 ( (13+12 Sino32 do = 26 T 125

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Q: 1. Model this problem as a constrained nonlinear "maxi-min" problem and then convert the program to…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: The Builder's Old Measurement was instituted by law in England in 1773 as the way to estimate the…

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Q: Compute the quadratic form x Ax for the given matrix A and vector x. X1 ¹1) A- [89]-x-[x2] = X = 07…

A: Any symmetric matrix A can be converted to quadratic form by using the standard form  Quadratic…

Q: Determine if the following sets are closed under multiplication. a. {1,14} b. {2k + 7 KEW} C. c.…

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Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: Integrate G(x,y,z)=z-x over the portion of the graph of z= x + y² that lies above the triangle in…

A: Given that G  x, y, z  = z - x              The portion of the graph a curve z = x + 3y2 above…

Q: Test for linearity, time invariance, causality, BIBO stability, and static of the systems i) y(n)=…

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Q: Evaluate the surface Integral F(x, y, z) = xi+yj+zªk S is the part of the cone z = √x² + y2 beneath…

A: Remark : According to new guildlines , we are answering only first question , since you posted…

Q: In this exercise we will use the Laplace transform to solve the following initial value problem: [4,…

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Q: True or false: There are integer solutions to the linear Diophantine equation  903x + 731y =1106.

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Q: A system x'=Ax has the solutions cos (sin(t)) and (sin(t)). - cos Which of the following is also a…

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Q: True or false: The integers 11!+2,11!+3,11!+4,...11!+11 is a sequence of ten consecutive

A: The sequence of integers :11!+2, 11!+3,....., 11!+11

Q: Find the range of the parameter b such that the vibration ODE y" + by' + 3y = 0 is: (a)…

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Q: Find |v||-|w, if v = 4i - 5j and w = -2i + 3j. ||v||- ||w|| = (Type an exact answer, using radicals…

A: The given problem is to find the difference between the magnitudes of the given vectors. Given…

Q: Solve Laplace's equation, given boundary conditions. u(0, y) = 0, u(x, 0) u(x, y) = 0 Σ n=1 100, sin…

A: From the given pde , convert it to two odes:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form…

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Q: 7 Leah wrote the equation below. 4.6= -32.2 What number makes the equation true? J Not here F 7 G-7…

A: The equation wrote by Leah is : ☐× 4.6 = -32.2   .....(1)

Q: Given F (1.0) 35 f(0.9) = 2.4, f(1.0) = 2.3, f(1.1) = 2.9 can be estimated as : 67 3.5 70 9 then

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Q: TOM Find the radius of convergence, R, of the series. R = n=1 I- 3n-1 Find the interval, I, of…

A: The given problem is to find the radius of Convergence and interval of convergence for the given…

Q: A particular solution of x': O a. d. O b. none of the above O C. O d. 23 * - ( ²2 ²³ ) x + ( 0 0 ² )…

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Q: For each of the following scenarios give an example function f(x) which satisfies the conditions…

A: Graph

Q: Use the fact that matrices A and B are row-equivalent. 2 10 0 5 1 1 0 3 7 22-2 15 34 11 2 4 10 30-4…

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Q: Find the coordinates of the point on the plane curve described by the parametric equations…

A: Introduction: To find the coordinates of the point on the plane just substitute the value of t and…

Q: (e) Given that the general solution of the partial differential equation and boundary conditions may…

A: From the given equation find the general solution:

Q: Find a basis for and the dimension of the subspace W of R4. W = {(3st, s, t, s): s and t are real…

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