only do the Freed Body Diagram label completely NO NEED FOR SOLUTION

Q: (d) 2x₂ + 4x3 = 8 2x₁ + 2x₂ = 6 x₁ + x₂ + x3 = 5

A: we have to solve the given system of equations using the echelon form        2x2+4x3=82x1+2x2…

Q: Suppose A = - = - { B₁¹=1-4 10 2ģco 62 a) Compute (AB)-¹. -2°207 81 b) Compute det B. BA₂ AJ 1 C)…

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Q: [1/2e 10 Determine the limit of this transform as e 0+ and discuss the result xe |xc|> €* Find the…

A: to find the Fourier transform of the function.

Q: Exercise 6.1.2 Convert each second- or higher-order equation into an equivalent system of…

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Q: The bakery at Sam's club makes jumbo cookies and regular cookies. The oven can make   at most 200…

A: Let x and  y be the be the number of jumbo cookies and regular cookies to be made respectively. So…

Q: of Work Problems (1) ( ) (A) Suppose D is the region bounded by the line y=x+3 and the parabola y2 =…

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Q: -(x²+2)y"+3.xy'-y=0 find power series solutions at x=0

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Q: 10. Show that for any non-square d and any integer M there is a finite (possibly empty) set S =…

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Q: V. Numerical Differentiation - Find the slope of the function f(x) = (sin x)/x at x = TL.

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Q: If A = 3) (a) A + B 2 -6 9 and B = X (b) B-A (c) 2A + 3B -1 J ↓ 1 -10), find A + B, B-A, and 2A +…

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Q: Find the indicated vector. tu= [4] ₁v = [7]· F Let -34 °[-2] ° [⁹] 1 . Find 9u - 2v.

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Q: Let A = {m ∈ Z|m = 4k + 8} where k ∈ Z, and let B = {n ∈ Z|n = 2r + 2} where r ∈ Z. Show |A| = |B|.

A: Let A = {m ∈ Z|m = 4k + 8} where k ∈ Z and let B = {n ∈ Z|n = 2r + 2} where r ∈ Z.  We now show that…

Q: 2. Find the equation of the plane that is parallel to the vectors and contains the points (-2, 3,…

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Q: Evaluate the surface integral. JS (x+y+z) dS, S is the parallelogram with parametric equations x = u…

A: We find the surface integral.

Q: Answer the following in your own words, using complete English sentences. (a) What is a conservative…

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Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find…

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Q: Let Ai = [i − 1, i] for all integers i = 1,2,3,4. Find the following. a. A1_________________…

A: Given  Ai = [i-1 , i] ,  We need to find the values A1 , A2 , A3 and A4 , then the union and…

Q: 8. A company wants to assign 8 salespeople to 4 regions of a state (see table below). Region…

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Q: 6. Write an equation, h(t), modeling the height of your ball as a function of time. h()=4.9t² +9,42t…

A: The height of the ball as a function of t is given by  ht=-4.9t2+9.42t+1.95

Q: To find a particular solution for the differential equation y" + 25y = ex with the variation of…

A: The differential equation is given as y''+25y=ex. Given a statement, to find the particular solution…

Q: Use series to approximate the definite integral to within the indicated accuracy. 0.4 fo4 e-xdx,…

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Q: 4. Solve the wave equation Uxxr 0 0 u(0, t) = 0, u(x,0) = x(1x), Utt = u(1, t) = 0 ut(x,0) = 0

A: The given problem is to find the solution for the given wave equation partial differential equation…

Q: Stock analysis. The price-eaming ratios of 100 randomly selected stocks from the New York Stock…

A: Statistics is the branch of mathematics which are dealing the presentation of data, interpretation…

Q: III. SIMULTANEOUS LINEAR EQUATION - Solve the value of X₁, X2, and X3 of the simultaneous linear…

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Q: Determine the function of equation (u) a (1²5) ²= if a<B? a) 2) 1 32 2 4) It is impossible Leio to…

A: Given that,  f(x) = a (x-5)2 Here a &lt; 0  Clearly  f(x) = 0 a (x-5)5 = 0 Implies (x-5)2 = 0…

Q: At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to…

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Q: 7. Let a be a root of X² - bX+c, for b, c integers such that b² - 4c < 0. Suppose that unique…

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Q: A car was purchased for $1930 down and payments of $257 at the end of each month for four years.…

A: Given, Down payment for car = $1930 Monthly installment = $257 Time duration (t) = 4 years = 4(12) =…

Q: (A) Suppose Ris the region in the second quadrant bounded by the circle x² + y² = 9, the lines y=-x,…

A: To evaluate the double integral by sketching the region in second quadrant of  x2+y2=9,y=-x and x=0.

Q: 2+ = 4x + ³/²³y + 2et 3/2 dy d+ = 9x+6y + l0e² dit 1) write the system in matrix form. b) solve the…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: For a quantity of gas at a constant temperature, the pressure P is inversely proportional to the…

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Q: 5. By considering Z[¹+√5]*, or otherwise, show that if n and m are expressible as 2 a² + ab-b² and…

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Q: S= 2n f(t)√/f'(t)² +g' (t)² dt. Consider the curve x = 2cos (t), y = 2sin (t) +9 on 0 st≤2x.…

A: For the given parametric equations to find the curve and surface of revolution about x-axis.

Q: Use L'Hôpital's Rule (if possible) to calculate the following limits. If the method doesn't work,…

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Q: 7. Carly bought a watch for her boss as a retirement gift. The dimensions of the carrying case it…

A: A cuboid is a three-dimensional structure. A cuboid contains 6 faces, 8 vertices, and 12 edges. A…

Q: (a) Let A, B be n x n matrices. If AB = Onxn show that rank(A) + rank(B) ≤ n . (b) For any n x n…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: - State and prose the Pythagorean Theorem

A: We have to state and prove the Pythagorean Theorem.

Q: Consider the field F = (x+y)i - (x² + y²), and the counterclockwise curve C whose boundary is…

A: We will use green theorem for circulation and also for flux    For any vector field F=P i + Qj…

Q: Let L : V → W be a mapping, where V and W are vector spaces. Which of the following is NOT always…

A: Let L:V→W be a mapping, where V and W are vector spaces. We have to find the false statement of the…

Q: Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to…

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Q: 1) = {(x) = 1² [x] - 2-x . Graph the piece-wise function: f(x) = if - 3 ≤ x ≤ 0 if 0 < x≤ 3

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Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.

Q: 1. Using induction, prove that 2 (^(^^!) ) ² २ 2 3=1 J 3

A: The given problem is to prove the following identity by using the mathematical induction method.

Q: For each function below, find all points where the function is discontinuous and classify the type…

A: To Check: whether the following function are continuous or not. If they are discontinuous we need to…

Q: 4. Find the surface area of the part of the sphere x² + y² + z² = 1 above the plane z = 1/√2.

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Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

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