Let (u, v) be the inner product on R² generated by A = [ 6 -1 and let u = (3, −5), v = (7,4). Find (u, v). (u, v) = = 12] ₁ -2

Q: Calculate (a) the amount financed, (b) the total finance charge, and (c) APR by table lookup. (Use…

A: Here are the answers to your questions:(a) Amount financed: The amount financed is the difference…

Q: Evaluate the line integral e 3y² dx + z² dy + (49 - x²) dz over the quarter of the circle of radius…

A:

Q: Suppose that A is a non-empty subset of R which is bounded above and that x > 0. Define x A = {xa a…

A: Suppose that  Sup.Let Then, by definition of supremum, it follows that 1) ,for all…

Q: Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for…

A: Solution is uploaded below.

Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: I don't understand why you start from the right-side which is g. And not from the left side which is…

A:

Q: 25. Let A € Mn be a positive definite matrix. Prove tr A tr A-1 ≥ n². 1. Show that AB ⇒ tr A 2 tr B.…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + 2y' +y = 0, y(0) = 1, y'(0)…

A: Use the Laplace transform to solve the given initial-value problem.,    ,

Q: Let A L(R). Suppose all solutions of x' = Ax are periodic with the same period. Then A is semisimple…

A:

Q: Use the substitution y=x to find a general solution to the given equation for x>0. x²y''(x) +…

A:

Q: determine a cubic approximation centered on the origin of the result of the following double…

A: Given double integral: The objective is to determine a cubic approximation centered on the origin…

Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

A:

Q: K Factor P(x) into linear factors given that k is a zero of P. P(x)= x³ + 7x² +7x-15; k= -5 The…

A: (.)   Given ,        and   is a zero of .(.)  Factor theorem: Let a polynomial  of a degree  and if…

Q: Compute fFdr, where F(x, y) = (5+27x², 2xy) and C is a line segment from (0, 0) to (1,2). (Use…

A:

Q: For each of the following operators T find bases for the generalized eigenspaces; give the matrices…

A: In order to find the generalized eigenspaces, we first need to find the eigenvalues of the matrix T.…

Q: 1,4) This is incorrect

A:

Q: PROBLEMS 2.1 Apply the inverse-transform method to generate a random variable from the discrete…

A:

Q: # 6. Principal Matrix Solution. 1 -2 1 (a) Show that A = 3 0 3 is a nilpotent matrix, and then use…

A: A matrix of order n by n is called nilpotent matrix if there exists a natural number r (≤n) such…

Q: 2. Find the general solution for the following differential equation: d'y dt² Justify your answers.…

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

Q: Write the answer as a product of binomial coefficients, factorials, and Stirling numbers: How many…

A: Given:A set  containing the first  positive integers, i.e., Three integers  and  representing the…

Q: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a…

A:

Q: Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a…

A: We can assume that the general solution to the above differential equation can be written as a power…

Q: What's the linear approximation of the function f(x) = x² sin(2x) at the point x = π/3? ○ f(x)≈…

A:

Q: Solve the following differential equations of d'y dx² dy 3- -+2y=e³x; dx

A:

Q: Purchase price of product Pre-owned Specialized Mountain Bike $ Down payment 250 $ 100 Amount…

A: (a) Amount financed: The amount financed is the difference between the purchase price of the bike…

Q: Solve the given system of differential equations by systematic elimination. (x(t), y(t)) = dx dt dy…

A:

Q: A box is to be made where the material for the sides and the lid cost $0 20 per square foot and the…

A: The volume of the box is The cost of the side and the lid is  and the buttom is

Q: What length of 2 in. stock is needed to bend a pi The length of 2 in stock needed is approximatel…

A: Required to find circumference (C) = 2πrHere radius(r) = 6+2 = 8 in  According to figure ;C = 2πr/2…

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

A:

Q: Use the substitution y=x to find a general solution to the given equation for x > 0. x²y''(x) +…

A:

Q: A force of 960 newtons stretches a spring 4 meters. A mass of 50 kilograms is attached to the end of…

A:

Q: 3 Suppose that ID cards are made in the shape of an equilateral riangle, with n equidistant lines…

A: n= 6m+5

Q: SS dA, where R is the region bounded by the graphs y = x², X R y = {x²₁ x = y²₁ x = y²;u= X

A:

Q: The forward difference approximation to the derivative f(x) = x² sin(2x) at x = π/3 is: (use step…

A: The forward difference approximation to the derivative f(x) = x2 * sin(2x) at x= π/3 (use step size…

Q: Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a…

A:

Q: Each of the following properties defines a set of real n X n matrices. Find out which sets are…

A: According to guidelines we can do only first three sub parts thank youEach of the following…

Q: ← The table shows the height of a projectile that is fired into the air. t (seconds) 1 2 3 4 s…

A: According to guidelines we can do only first question thank you.We have to find the projectile will…

Q: f(x,y)=x²- y subject to x² + y² = 25.

A:

Q: 4. Using Romberg's rule, approximate dx.

A: To approximate the integral of the function from 1 to 2 using Romberg's rule, we need to follow…

Q: 5. Use the grid below. Plot points A, B, C, and enlarge the triangle ABC by a factor of -2 about…

A:

Q: A cable television company has 8500 subscribers in a suburban community. The company offers two…

A: Solution:- GivenTotal subscribers = 8500Inactive subscribers = 5100Active subscribers = 8500-5100 =…

Q: Find F(s). F(s) = L{te 13tz

A: I have explained everything within the solution. Please go through that.

Q: Question 4 valuate the flux of the vector field F = (-x, -y, 2³), where S (see figure on nex age) is…

A:

Q: One of the following definite integrals can be evaluated using the fundamental theorem of calculus…

A:

Q: 0 Given the following, calculate the estimated cost of ending inventory using the gross profit…

A: Solution:- Determine the Cost of Ending Inventory:Ending inventory = Cost of goods available - Cost…

Q: Find a matrix A if The matrix A = 3/5 7/5 23 14 A: 30 (₁ 12 2/5 9/5 (Note: Enter the values in a/b…

A: . We have to find the matrix

Q: Select the reason that best supports Statement 2 in the given proof. A. Transitive Property B. Given…

A:

Q: . We have the triangle inequality x+y| ≤ |x|+|y. Use induction to prove that for any real numbers 1,…

A:

Q: How much money will I have if I am going to deposit $1000 every month (starting now) for 5 years if…

A: So given you are going to deposit $1000 every month (starting now) for 5 years,  the interest rates…

Q: Use the limit definition to calculate the derivative of the function : r(t)=(3t+4)i+(t^2−4t+3)j.

A: