8. Determine the equation of the quadratic function with the zeros 3+√5 and 3-√√5 containing the point (2,-12). Express your answer in standard form.

Q: & (in/in) fps (ksi) 0.01 230 0.02 255 0.03 260 0.04 264 0.05 268 0.058 270

A: Given information:To find: when .Concept used:The concept of interpolation will be used to estimate…

Q: Determine whether there exists an invertible matrix A if A² = AB + 2A, where B is the following…

A:

Q: (9) Let a, b, and m be integers with m 21 and (a,m) = 1. Prove that the congruence ax=b (mod m) has…

A: a, b and m are integers with m ≥ 1 and (a, m) = 1.We will prove that ax ≡ b  (mod m) has a unique…

Q: Show that the following functions are convex by verifying the definition, i.e., that. f(x + (1-A)y)…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: The coordinates coordinates of two points A and B are (3, 4) and (5, -2), respectively. Find the of…

A:

Q: Suppose that a continuous income stream has an annual rate of flow  f(t) = 500e−0.02t2  (in…

A:

Q: Compute the determinant using cofactor expansion along any row or column that seems convenient 000 a…

A: Given determinant is                 Since the first row contains 3 zeros so it is convenient…

Q: A large tract of land is being surveyed and divided into smaller parcels for sale. When parcels of…

A: Given information:Parcels of  leave  leftover.Parcels of  leave  leftover.Parcels of…

Q: To optimise a neural network can require selecting the best combination of a large set of…

A: Given Information:Function is Network is only feasible in the region .To find:a) The value of .b)…

Q: Evaluate each of the following contour integrals: (1) fc sin z 22+77² dz; |z - 2i = 2

A: where Note: According to the guidelines we are allowed to solve one question at a time. Please post…

Q: (b) For subspaces X and Y, the sum X + Y is a direct sum (denoted X + Y) if every VEX + Y can be…

A:

Q: Which of the following would form an equivalent relation? Given the set of people in the world, we…

A:

Q: Anita sets a goal to have $100,000 in her account when she turns 40. What amount of money should she…

A:

Q: All patients suspected of having a particular type of cancer are tested by two separate labs. The…

A: The probability that lab A produces a positive test for any patient with cancer P(A) = 0.27The…

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: 3. Is the matrix 5 psd, pd, nsd, nd, or indefinite? Justify your answer.

A:

Q: (13) Find two different complete systems of residues modulo 8.

A:

Q: 3) Obtain the Position, Velocity and Acceleration Vectors of the particle whose behavior is…

A: .

Q: Illustrate the other distributive law by selecting the region(s) corresponding to An (BU C) on one…

A: For any two sets A and B, the operations 'union','intersection','complement' are defined as follows…

Q: Let Xn=nn for n EN * Show that Xn+₁ <Xn if and only if (1+1)^<N. *Show that the inequality is valid…

A:

Q: Problem #7: Suppose that u, v, and w are vectors such that = 3₂ = −5, = 4, ||u|| = 1, ||v|| = 8,…

A:

Q: Consider the group G={1,−1,i,−i} under multiplication, where i^2=−1. Determine the inverse of each…

A:

Q: 2. Show that the following functions are convex by verifying the condition that ² f(x) 20 is…

A:

Q: Find the null space for the given matrix. (A graphing calculator is recommended.) 20 4 2 3 3 -1 4 1…

A:

Q: (b) Prove that Z/4Z is not a field.

A:

Q: 3 2 7. ty'-2y=t³ sin(2t) − t³ +4tª; y(n)= · Use a graphing utility to draw a graph of the solution…

A:

Q: Jump to level 1 -34 51 17 find an orthogonal basis under the Euclidean inner product. Let Orthogonal…

A:

Q: Nancy Wallin has just purchased a new house that is in need of new flooring. The cost of Pergo…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Newell et al. 2022 observed the following relationship between precipitation p (measured in mm…

A: where denotes precipitation and denotes arthropods

Q: For the given values of n and r, evaluate (a) n! (n-r)! and (b) = n! r!(n-r)! n! (a) When n = 13 and…

A:

Q: 2. Recall that a number m is said to be square free if ď² | m for d≥ 1 implies that d = 1.…

A: The idea is to carefully apply the Chinese Remainder Theorem.

Q: A nobby store marks up remote controlled cars 20%. The oniginal pri was $35. What is the retail…

A: The original price of the remote controlled car is  .A hobby store has marked up the price by .To…

Q: Use the binomial expansion to find the order of the following ex- pressions as x → 0. x3/2

A:

Q: . Find the general solution of dy d.x = 2 y + 1 x+y-2 2

A: Given differential equation isdy/dx = 2 ((y+1)/(x+y-2))2

Q: (7) Let m≥ 1 and let R= {0, 1, 2,...,m - 1}. (a) Prove that if r1, T2 € R and r₁ r2 (mod m), then r₁…

A:

Q: Problem #3: Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. A…

A:

Q: Let {A: a € A} be an index family of sets. Then & E UEA Aa iff x E Aa for all a Ε.Δ. True False

A: Let us correct above statement

Q: Consider the following equation. (y - x)² + 2 = xy - 3 Check that the point (2, 3) lies on the…

A:

Q: Show that the identity k n = n 72 n k k-1, olds for all integers 1 <k<n and use it to prove that n…

A:

Q: lim, 3n+1 3 1/5 7n-3 7

A:

Q: Assume all matrices are invertible. Note that c cannot exist by itself in a matrix equation. Solve…

A: Given, all matrix are invertible.XA = cX + IAlso c can't exist by itself in a matrix equation.

Q: Determine whether the given limits exist and find their values. Give a clear explanation.

A: We have to find

Q: Let p be a prime number. Prove that Z/pZ is a field.

A: Let R be a commutative ring with unity. Then an ideal M of R is maximal if and only if the quotient…

Q: Determine whether the following sets are subspaces of R³. Realize number 4 as the span of a…

A:

Q: Given the subspace H a- -4b-2c 2a + 5b-4c -a +2c -3a+7b+6c a) Find a matrix A such that H = Col A.…

A: Given subspace is the following :Now for any reals  (say),a) Then So

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

A:

Q: If V3(R) is a vector space and W₁ = {(a,0, c): a, c = R} and W₂ = {(0,b,c): b, c = R} are two…

A:

Q: Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain…

A: The Sports of all Sorts has 3 supply chain located in Detroit, Los Angeles, and Austin. The Detroit…

Q: Consider the series below. Σ (-1) +1 n=1 Use the Alternating Series Estimation Theorem to estimate…

A: