Solve the system: 3x+2y ≡  5mod17 2x+7y ≡  9mod17

Q: For the smooth curve t(t), find the parametric equations for the line that is tangent to r at given…

A: Introduction: To find the tangent line to parametric curve we have to find the first order…

Q: Let f= {(9,2), (8,5), (2,7)} and g = 4x + 7. Find f(9) + g(9). f(9) + g(9) = (Simplify your answer.)

A: We have to given two functions f, g and we have to find f(9)+g(9).

Q: 1.4 Please answer these (a,b,). Explain well your calculations and steps! Thank you!!! A)Expresses…

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Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -1, and the determinant is det(A) = -20. Find…

A: Given: trA=-1; detA=-20 where A is 2×2 matrix.To find: The smaller and larger eigenvalue of the…

Q: For time t≥ 0, a particle moves in the zy-plane with velocity vector given by v(t) = (In (t³ +…

A: We will find acceleration.

Q: Consider the following nonlinear programming problem. Maximize Subject to and 1/2 1/2 f(x₁, x₂) =…

A: Given: The non-linear programming problem is  Maximise  f(x1,x2)=x11/2x21/2 Subject to…

Q: The group table of a group G is shown below. e a b C d b b a e h b f e e e C d a a ff b C 9 9 C d h…

A: We have to  (a) List all the distinct left cosets and all the distinct right cosets of J in G. and…

Q: =[₁2³], decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31, -46, 23, -34,…

A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: Problem 1 (a) Let a be relatively prime to the prime number n = 37. What are the possible values of…

A: (a) Since a is relatively prime to n = 37, we must have          aφ(n) = 1 (mod n)       =>…

Q: A flare is lauched from a boat and travels in a parabolic path until reaching the water. Write and…

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Q: A classmate was assigned the task of calculating the number of ten letter words that have a minimum…

A: To find: The correct calculation process.

Q: 3.L(x) = (0,5x2) ? 4. L(x) = (x1+8, 22)

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Q: or space of all (2 × 2)-matrices. The trace tr( al elements, i.e. the base b tr (ad). =a+d. 0 ₂ -…

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Q: In Exercises 1-4, each of the linear systems has one eigenvalue and one line of eigen- vectors. For…

A: Disclaimer: Since you have asked multiple question, we will solve the first  question in three sub…

Q: Evaluate the surface integral J. F. Fds for the given vector field F and the oriented surface S: In…

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Q: The taxes on the house assessed at 75000 and are 2400 a year if the assessment is raised to a 100…

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Q: Let A = -18 -8] 40 18 (a) Find the characteristic polynomial of A p(x) = (b) Find the eigenvalues of…

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Q: 7. How many terms are there in the multinomial expansion of (x₁ + x₂ + ... .+x)"? ******..

A: We want to find the number of terms in the multinomial expansion of x1 + x2 + ... + xrn

Q: Question 2 Find the point (s) on the surface z = xy + 1 closest to the origin.

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Q: Santa's elves are creating treat bags containing a selection of Kit Kats, Reese's cups and Almond…

A: (A) To determine the number of different types of bags that can be created with 11 chocolate bars,…

Q: A gallon of paint will cover 590 square ft of wall space. If I plan to paint a room whose walls…

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Q: The structure shown below is made by gluing together the faces of 10 cubes. Roman painted the entire…

A: The given structure is made by gluing together the faces of 10 cubes. Roman painted the entire…

Q: Find a constant C such that p is a probability density function on the given interval and compute…

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Q: solve for the homogeneous coefficient   (x²+2yx-4y²)dx-(x²-8xy-4y²)dy=0

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

Q: 1. Find the Laplace transforms for the given f(t). (h) f(t) = 3 sinh 4t (i) f(t)=e-2t cos 3t (j)…

A: Given: h) ft=3 sinh4t            i) ft=e-2t cos3t             j) ft=4+cosh2tTo find: The Laplace…

Q: b. C. e 8 1.00⁰ 1 x ln(x) 1 x(ln(x))² dx dx

A: We have to find the that given improper integrals are convergence or divergence.

Q: Q2: Convert the following bases into orthonormal bases using the Gram- Schmidt algorithm. Verify…

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Q: Find the remainders of. Use the reduction 16 technique. 8 4 5 31 and 2 40 11

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Q: (p\q) = [*p(t)q(t)dt. (Note: the limits are unusual). Let U = Spann {P₁, P2} C P₂ where p₁ (t) = 1…

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Q: This is a real data from google and Covid-19 spread as an exponential model. Skyline College…

A: On March 17, 2020 (which is 2 months after January), there were 680 cases. So it implies that…

Q: The following matrix gives the number of vehicles sold in January at a car dealership. Use the…

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Q: Find

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Q: A) find a particular solution to the non homogeneous differential equation y”-4y’=-16+2e^5t (make…

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Q: an+2₂ Let a be a non-negative real number. Prove that the series Σ(+2)n² converges when a < 1 and…

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Q: 3. Mr. Jones intends to place 10 books on his bookshelves. Among these, 4 are books on mathematics,…

A: Solution:

Q: Show by universal generalization (twice-applied) (CC-A) NB) U (DNB)) = (BN((C-A)UD)).

A: We have to prove  C-A∩B∪D∩B=B∩C-A∪D.

Q: 9) Given the vertices, connect them with edges in order to get a planar graph without isolated…

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Q: 4) Determine the inverse hup lace frons form of 5²Y(s) - 10s + 3 [s Y(s)-10] + 2 Y(s) = 24 S

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Q: 2 3 0 0 1 -1 0. Evaluate M-¹ (using elementary row operations). Evaluate M². The matrix M is given…

A: As per our guideline, we are supposed to solve only first three subparts. Kindly repost other…

Q: ● Homemade 2: Diagonalize the following matrices with complex eigenvalues: 87 -65 125 -93 -11 6 -15…

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Q: Find (a) the Fourier cosine series, (b) the Fourier sine series. Sketch f(x) and its two periodic…

A: Since there are many questions, hence here find the solution of first question.

Q: 6. An n x n matrix A is diagonalizable if and only if it has n distinct eigenvalues. ? 7. Let W be a…

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Q: 2) Find the derivative of a) y = (x-2x¹) 5 (sin 2x). b) y=- c) y = etanx 3x6-sec 6ex √8x+lnx

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Q: 2 -6 6 0 11 -15 0 2 0

A: 20. The given matrix 200-61126-150. We have to find the diagonalizable matrix P and a diagonal…

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

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Q: Determine with proof if each of the following sets below is a convex set? 1 (a) {x en: x ≤r}, r> 0…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 4 {BEB]} 0 -2 (a) Basis: Dimension: (b) 12 -277 GOOD 4 -9 -5 11 Basis: 8 - -397 -13 16

A: (a) Given: -211, 000, 4-2-2, 8-4-4. (b) Given: -3-11, 124-5, -27-911, -39-1316. To Find: Basis and…

Q: 6. Ten children are to be divided into an A team and a B team of 5 each. A team will play in one…

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Q: Use the shifted inverse power method to approximate, for the matrix A , the eigenvalue closest to α.…

A: Subtract the shift value α from the matrix A: B = A - αI, where I is the identity matrix. In this…

Q: 5) g(x) = -5x+7 2x-3 (a)

A: