Simplify 45 164-23 but leave answer as a power in simplest form.

Q: Find vectors u and v such that the parametric equation of the line y = mx + b can be expressed as…

A: Equation of the line : y=mx+bAbove line is expressed as : yx=tu+v

Q: (b) U = {q(x) € Z3 [x] : x²+x+1 is a factor of q(x)} in Z3 [x].

A: As asked we shall solve only sub-part b

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Q: N' -8- -10 Part a) How can we find the scale factor? OA. Find the length of MP and M'P'. Then, write…

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Q: √4-x²dx. і де рабаты аницар аут pust

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Q: Find the inverses of A = 0 002 0030 0400 5 000 and B = 32 20 00 4 3 00 065 076 00 00

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Q: A survey is taken of  92 people who vacationed at a dude ranch. The following information was​…

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Q: Which of the following is a linear DE of order one in x? A. (sec² x-y)dx + (x−y)dy=0 dy_y+2y² x-3y…

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A: Here, the given statement: p∨~q→r∨q.

Q: A 1500 litre fuel storage tank initially contains 750 litres of liquid fuel with 20g of chemical (C)…

A: Given information:

Q: 1. Consider problem of approximating numerically the definite integral I (SJ) = f' sin(√x) dx by the…

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Q: Compute the bound on the error that you would get from usuing T3(2) to approximate 2^1/3

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A: To find the smallest possible y-value of the function y = 49f(5x), we need to find the minimum value…

Q: Let a,b, and c be integers. If gcd(a,b)=1 and both a and b divide c, then prove that a*b divides c.

A: Let a, b, and c be integers. If gcda, b=1 and both a and b divide c, then prove that a×b divides c.

Q: 3. Simplify the following expression. √7.√7 O√7 O √14 O √49

A: The given expression 7·7. We have to simplify this expression.

Q: Determine whether the following set of polynomials forms a basis for P3. Justify your conclusion.…

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Q: Math 267 Compute Cone the Surface Area of the 2² = x² ty ² where 1≤2=4

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Q: 6 5+ 4 Vector = 3. 2- 1 7 -6 -5 -4 -3 -2 -1 -1 -2 234 -3- -5 -6- 1 2 3 4 5 6 Find the vector shown…

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Q: The following questions refer to the table shown below, giving the temperature adjusted for…

A: Wind chill is a function of wind speed and temperature, f(w,T). From the given table: f(25,35)=23,…

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Q: What is the angle between the unit vector answer to question 3 and the x-axis. Give your answer to…

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Q: 13. y" - 2y' + y = te' +4, y(0) = 1, y'(0) = 1

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu .graph of the…

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Q: Use Simpson's Rule, with the value of n given, to determine an approximate value of the given…

A: ∫02dx1+x3, and n=8. To Do:We have to calculate the approximate value of the integral using the…

Q: (b) Find the general solution of the differential equation dy 3.x + 3y + x³y¹ = 0. d.x

A: We have to find the general solution of differential equation using substitution method

Q: ち, 0 ≤t < 1, \19. y'+y=<2-t, 1≤t<2, y(0) = 0, y'′(0) = 0 0, 2≤t < 8;

A: Given: The differential equation is given by,       y''+y=t,          0≤t&lt;12-t,    1≤t&lt;20,…

Q: If possible, find each of the following. a. The principal square root of 225 c. -√36 e. 16 a. Select…

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Q: The proportion of light bulbs that last longer than t hours i to the nearest whole number.) y 0.001-…

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Q: What is an infeasible linear optimization problem? How do we find if a given linear optimization…

A: As per the guideline I am supposed to solve only first question from the given questions. Given…

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Q: the standered deviation is wrong can you check that?

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Q: Please do not give solution in image format thanku 1. Write this statement formally using…

A: Let x=student in CS205   P(x)=student likes Pepsi   Q(x)=student likes Coke Given, Every student in…

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A: System of equations :2x+y=13x+1.5y=1.5

Q: Q.2) For VR2 and B = {(1,2), (3, 4)"}, C = {(7,3), (4,2)"}; consider one vector v = = (1,0) ¹. •…

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Q: 147 369 [A] = 2 5 8 and [B]= 2 5 8 369 47 fultiply the matrices as follows f. {C}T{D} (C) = 4 7

A: C=147; D=258 We have to find CTD Clearly CT=147

Q: Find three positive numbers whose product is fixed such that their sum is as small as possible. Use…

A: To write the problem formally, one may find it as, To MinimizeF(x,y,z)=x+y+zsubject…

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Q: Use a suitable substitution to evaluate the following integral [cos( cos(x) sin5(x) dx O 1 -sin 6x +…

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Q: 29. 30. 31. 32. 33. The Fundamental Theorem of Arithmetic states that What conditions, if any, must…

A: As per the guidelines I am answering only one question at a time.

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Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

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Q: 7. y" + xy' + 2y = 0, xo = 0 11

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Q: Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is…

A: Introduction: Here use the Gaussian elimination method to solve the system of linear equations. In…