3. Find the general solution of the system of differential equations d. 8 -5 = x* cos(7t) – 7 sin(7t) + 8t7e7 10 cos(7t) 10 6. + 4t*e7 ( +( 7 cos(7t) + sin(7t) ) 10 sin(7t) Hint: The characteristic polynomial of the coefficient matrix is X? – 14A + 98. Moreover x,(t) = t°e7" ( cos(7t) – 7 sin(7t) ). 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) + t°e7! is a particular solution of the system.

Q: ☺ The quetion Sin wte e ニ0 a rises in the motion of aplanetary used in auto makic transmissien…

A: Given: sinωt-e-at=0, ω=0.573, a=0.01 and t0=2 To find: Smallest positive root of a given equation.

Q: 10 x? + sin(y) = 20 x + 5 y %3D

A: Follow the steps and python script.

Q: Find Domain and R ange ニ

A:

Q: Which represents equal sets?. O A EB and BEA O IAI-IBI O All numbers in Set A are in Set B. O MCNand…

A:

Q: Continue the two sequences of numbers below and find an equation to each of the sequences 1 2 3 4 5…

A: 1. In first. 1+1=2 2+3=5 5+4=9 9+5=14 14+6=20 20+7=27 Hence the eqution is  an=an-1+n

Q: Problem 5 Solve Cauchy Euler equation r'y" +ry -y =r'e

A:

Q: Equilibrium Point Yaster Cookware is planning to introduce a new line of cast-iron pans. A marketing…

A: We can input these data into a calculator or use Desmos to find the required regression model.

Q: Mrs. Lopez asked a carpenter to construct a rectangular bulletin board for her classroom. She told…

A: Given : Area of the rectangular board is 12 ft. square.

Q: Q3. Tangents are drawn from 0(0,0) to the circle x2 + y? – 2x + 4y + 1 = 0, touching the circle at L…

A:

Q: Determine whether the following series converges. Justify your answer. 00 k Σ k = 1 Select the…

A:

Q: 2. A cylinder has a circular base with radius 4 inches and a height of 10 inches. Find the volume of…

A:

Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

A:

Q: Donio, Nidilyn (Faculty) 3:29 PM 4. 89 is decreased by 12% Donio, Nidilyn (Faculty) 3:30 PM 5. How…

A: 4. Decrease 89 by 12%. This means we have to find 88% of 89, Hence, 88100×89=78.32

Q: ivative of p = 2xz nes maximum in t 3k

A:

Q: For the following directed graph, do the following: 1. give (in set notation, e.g. { (a,b), (c,x),…

A:

Q: dges does a graph have if it has vertices of

A: Introduction: A graph is a structure consisting of a collection of objects, some of which are…

Q: Question 18a. A disease propagates according to x' = 64 – xy – 12y %3D y = x - y where x represents…

A:

Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries such that there are 3 eigenvectors for a single…

Q: The orthogonal basis produced using the Gram-Schmidt process for W is (Use a comma to separate…

A:

Q: x² + y² + 2z² – 2x + 8y – 12z + 35 = 0

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Q-IV) E-日--回 Let u b3- be vectors in R. (a) Verify that B- (u, v, w) is an orthogonal basis for R'.…

A:

Q: Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single eigenvalue of…

A:

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: Find the equation of the tangent line to the curve y = 4x-8 at the point (3.-2). Your answer

A: Curve is given y2 = 4x - 8. Slope of any curve at any point is given by dy/dx.

Q: -0.5] H-B-E 0.5 0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 -0.5

A: Follow the steps.

Q: 2. A cylinder has a circular base with radius 4 inches and a height of 10 inches. Find the volume of…

A:

Q: Problem 5 Solve Cauchy Euler equation r'y" + ry - y = r'e

A:

Q: 3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the…

A:

Q: White an integmal in the ferm A=5° g(x)dx Such that A exphesses the are a of the region between the…

A: The given region is bounded by the graphs of the functions y=x2 and y=4x+5. Find the intersection of…

Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: We have to find a matrix whose three eigen vectors are come from single eigenvalue.

Q: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

A:

Q: Calculate x dy dz + y dz dx + z dx dy where is formed by the upper part of the sphere x² + y? + z2 =…

A: To calculate            ∯σ x dy dz+y dz dx+z dx dy where σ is formed by the upper part of the sphere…

Q: Evaluate tanh .3

A:

Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) 5x +…

A:

Q: What is the chromatic number of C1024 the cycle with 1024 vertices

A: Given clear answer 33 is the chromatic number

Q: 9 5 B D CA A C A D B Number of voters 9 11 22 1st choice D A 2nd choice 3rd choice B В D 4th choice…

A:

Q: Determine the slope of the tangent to the curve y -3xy +2.x = 4 at the point (3,2).

A: Let us consider the curve y=f(x) To determine the solve of the tangent to the given curve at point…

Q: The computer center at Rockbottom University has been experiencing computer downtime. Let us assume…

A: From the above-mentioned table, The steady-state probabilities of the system being in the running…

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

A:

Q: 1. Bianca enjoyed reading the Harry Potter series by J.K. Rowling, so she will also like her other…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 4) Let x be the twor diminsional spore cquipped with the scolor product. ke subspace Yis gitn by the…

A:

Q: 4. (2ху? + 2у) + (2x?у + 2х)у' %3D0

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: We have to find Distance.

Q: Solve the following ODES. 4. (t2 +1)y- 4t(y+ V) = 0. (Try by two methods!) 5. y' = 2+ Vy – 2x + 3.…

A:

Q: Prove or disprove: For n > 2, 2 is a generator of Zn if and only if n is odd

A:

Q: For each natural aumber a, the sum 1(2) + 2(3) ++ R(n + 1) is equal ta None of the choices This…

A:

Q: Z = 1 – eª x² ,2 4

A:

Q: ) Using only the e,8-definition of limit, prove that 1 lim x--1 x

A:

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

A:

Q: Date Q Use Least Square Regrissi methed to describe the relation (methed no 1) br between X and Y…

A: The given data is, x 7 3 5 8 9 5 4 2 8 6 9 y 5 7 8 1 3 4 0 6 7 4 2 To find the relation…