in months in dollars 0 450 1 4

Q: Use the summation notation to rewrite the following expression. 6 (1³ − 6) - (2³ − 6) + (3³− 6) –…

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Q: The linear combinations of v = (a,b) and w = (c,d) fill the planes unless _______. Find four vectors…

A: We know that two vectors in ℝ2 form a subspace containing planes if they are linearly independent…

Q: X = rsin(a) a 3r 4 Determine the angle a for which î By hand, determine the form of the equation to…

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Q: A fruit warehouse has weekly sales y, in thousands of pound sold that depends on the price (p) in…

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Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,044 yd of fencing with which to…

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Q: X 210 4 82 0 2 2 8 D 24 a=f(x) = 2x² + 3 510 2 Y V 5 35 11 b = f(x) = 2 (x-3) ² X 5 4 3 2 C=F(x) =…

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Q: The set B = {1-1², 2t-12², 1-1-1²) is a basis for P2. Find the coordinate vector of p(t) = 3 +…

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Q: The cars are approaching each other at a rate of mi/h.

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Q: A person purchased a $185,299 home 10 years ago by paying 20% down and signing a 30-year mortgage at…

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Q: The indicated function y₁(x) is a solution of the given equation. Find a second solution y₂(x). (1).…

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Q: If {v1, v2, . . . , vn} is a linearly dependent set of vectors, prove thatone of these vectors is a…

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Q: 2. Given the linear system of equations; X₁+2, X2 -2x₁ +x₂ 3x₂ -X₂ +2x4+x=6 a) Is the system under…

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Q: Find all values of k, if any, that satisfy the equation. Enter the exac answer(s). 1 2 [22] 20 0 4 k…

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Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = 7x − 8x²y² – 4y…

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Q: Solve the differential equation dy dx Give your answer an explicit solution, and use c as a…

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Q: In the year 2008, the United States was just entering a major recession. You are researching how…

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Q: Evaluate the summation for the indicated va 1(1) + 2(2!) + 3(3!) + + 3(3!) + 4(4!).

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Q: A company produces a special new type of TV. The company has fixed costs of $489,000, and it costs…

A: Fixed cost = $489,000 Cost to produce each unit = $1100 Demand function passes through (750,2400)…

Q: Solve the separable differential equation for y by making the substitution u = t + 4y. dy = (t +…

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Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: The given problem is to find the absolute maxima and absolute minima of the given function of two…

Q: Rewrite the summation by separating off the final term. n+1 Σ m(m + 1) = m = 1 ??? V m = 1 m(m + 1)…

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Q: 4. 000 (a) (b) (c) (d) Let T: R³ R³, suppose we have 2 sets of bases: ß= {₁, 2, e3} and a = (e) If…

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Q: Angles A and B are complementary to each other. If mA = 23° and mZB= (4x + 15)°, find the value of…

A: If two angles are complementary, then the sum of both angles is equal to 900. It is provided that A,…

Q: Due to a severe drought,a population of kangaroo is decreasing at a rate of 3.5% per year.…

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Q: Solving a Logarithm Equation log₂ x=2 log₂ 3+log₂ 4-log₂ 6

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Q: Solve the differential equation x²y"- 6xy'+10y=x cos(2x). Linearly independent solutions to the…

A: we solve  problem 2 ,,by method of variation of parameters .

Q: Problem 3. Let F and G be two functions defined as { and F(x)= sin - 0, " x G(z) = { ₁,² if x # 0,…

A: It is given that, F and G be the two functions defined as ;              F(x) = sin1x,x≠00,x=0 And,…

Q: 1. Solve for x1, x2, and x3 in the equations below using Cramer's Rule (BY-HAND wationsh -7x1 + 5x2…

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Q: Solve the Bernoulli equation for y. dy = 3y + y³. dt Use the following initial condition: y(0) = 1.…

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Q: Prove that “if f is decreasing, then f is injective” is true. Show your work.

A: Injective function

Q: Let Y be a positively oriented circle with centre zo = 2i and radius R = 3. Calculate the following…

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Q: Prove that 2 is irrational. You can use the fact that √2 is irrational.

A: We need to prove that, 24 is irrational. We have given that 2 is irrational. On the contrary let us…

Q: Question #3 a) Please find a polynomial P(x) of degree 4 for which 1-2i is a zero/root, - 1 is a…

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Q: nd the equati point (-5, hogonal to 5+-ну e

A: Equation of a plane passing through (x1, y1, z1) and orthogonal to a line whose direction ratio is…

Q: ht) Use a graph below of f(x) = In(8x² + 1) to estimate the x-values of any critical points and…

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Q: 6. Prove that f(x)=√x is continuous for all x ≥ 0.

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Q: Question 1: Are the following functions continuous, or discontinuous at 0? To answer this question…

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Q: The profit function for a company selling widgets is given by p(x) = -2x² +5x-2 where x is the…

A: For a function: y=f(x), the set of real values of x for which f(x) is defined is called the domain…

Q: Let F = Q(π3). Find a basis for F(π) over F.

A: It is given that,  F = ℚπ3. We have to find a basis for Fπ over F. We know that π is a…

Q: Find the distance from the point Q = (4, -3,5) to the plane - 2x-3y + 2z=6 □

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Q: Question 4: For what value of the constant a is the function f(x, t) = -√2 exp(-1/²) solution of the…

A: fx,t=1te-x2atfx=1te-x2atddx-x2at    =-2xatte-x2atfxx=-2atte-x2at-2xatte-x2atddx-x2at…

Q: Use the product notation to rewrite the following expression. (7-t)-(7-t²). (7-³). (7-4) (7-5) = 5

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Q: Write down the 3 by 3 matrix that has aij = 2i - 3j. This matrix has a32 = 0, but elimination still…

A: Given,               aij=2i-3j, and a32=0.

Q: TÌM Find the general solution of this equation: 9y" + 6y' + y = ₁²−1 t²-t e 1)

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Q: On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8…

A: Let WWE spots be x1 and American Dad spots be x2. Max Z =   3.8 x1 + 1.5 x2 (in billions)…

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: Find the horizontal and vertical asymptotes of the graph of the function. (Enter your answers as a…

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Q: How would I set up the double integral

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Q: Find the general solution to the following problems a) x²y" - xy' + y = x² + 1.

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

Q: ³ + 2x + 2y 23 2

A: