(tan x\secx) _ 1 1 - sin' x sin x L.S.

Q: Given that the matrix A has eigenvalues A1 = -5 with corresponding eigenvector v1 and A2 = 5 with…

A:

Q: Determine the optimal solution of the Chinese postman problem with the weighted graph below. 70 50…

A: To find the Chinese postman route first we have to convert odd degree vertices into even degree…

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

A:

Q: Which of the following differential equation has the same order and degree? A. +8+ 5y = e*…

A:

Q: e3x + 5e* (с) lim x→0 7e3x – Te™

A: We have to evaluate the given limit.

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. S. cos…

A:

Q: 3 Let A = 1 Find the complex eigenvalues for A and eigenctors for each. |-1 3 Enter the eigenvalue…

A: The eigenvalues of a square matrix A is given by the roots of the characteristic equation det (A-…

Q: Discrete math   a bit string is a finite sequence of 0's and 1's. How many bits and strings of…

A:

Q: R.1. Use the Schröder-Bernstein Theorem to prove that the intervals [0, 1) and (1, ∞) on the real…

A: The trigonometric tangent function sprang to mind first, and a strategic linear transformation of…

Q: Find the length of side a. B 5/3 30° A 2

A:

Q: Consider the parameterization of the unit circle given by z = cos(3t2 – t), y = sin(3t2 – t) for t…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Use proof by induction to prove that the recursive form of the sequence equals the closed form…

A:

Q: 5. Is L{f(1) + g(1)} = L{f(1)} + L {g(1)}? L{ f(1)g(t)} = L{f(1)}L{g(1)}? Explain.

A:

Q: The eqmivalance cluss f the element o is denuled by [o] , Thuy bý defination. %3D - {zez |…

A: We have to explain the steps.

Q: I. Show that the function f defined by (1, y) = (0,0) %3D f(r, y) (1, y) # (0,0) I+y is not…

A: Given                 f(x,y)=1 , (x,y)=(0,0)                           =x2+yx+y ,…

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b> 0. Determine the equation…

A:

Q: I. Show that the function f defined by (x, y) = (0,0) %3D f(r, y) = (x, y) # (0,0) x+y is not…

A: The given function is: f(x,y)=1              (x,y)=(0,0)x2+yx+y     (x,y)≠(0,0) To prove: this…

Q: If y approximate the differential dy when x changes from 64 to 64.07

A:

Q: Statistics and Mathematics. Following are the ranks obtained by 10 students in two subjects,…

A:

Q: 3n-1-12 15. What is the sum of the series E, +00 Zn=1 6n-1 5 A. D. 5 C. B.

A:

Q: A contour map for a function f is shown. 16 of 12 Use the contour map to estimate the sign of the…

A: To find sign of fx , fy we need to check f is increasing or decreasing when we change x by keeping y…

Q: Are these graphs isomorphic? Answer yes or no: If yes, find a bijection f that preserves adjacency…

A: We find adjacency matrix and bijection map.

Q: Which of the following is a linear system of ODES? Ox' = 7 sin(x) – 7y, y' = 7x – 2 cos(y) - Ox' : -…

A: Solution

Q: Give an example of a set S which is (i) bounded above but not bounded below, (ii) bounded below but…

A: (i). We consider the set which has bounded above but not bounded below

Q: 2. Let k > 0 be a constant. The area bounded by the x-axis, the curve y = 1 and the lines x = 1 and…

A:

Q: sinh ot + cos ot

A:

Q: tan x (sin xXcos x) 1+ tan x L.S. R.S.

A: Solution of trigonometric Identity

Q: Use the form of the recursive sequence and matrices to determine the closed formula for the…

A:

Q: 3. Let A : - ® be given by T2 In A(x1,..., Tn,.) = %3D 2 22 a) Prove that A is compact. b) Find the…

A: Given linear operator A:l2→l2 is defined by: Ax1,x2,…,xn,…=0,x12,x222,…,xn2n,…. (a). We Know that…

Q: How many phone numbers (7 digits) have no numbers larger than a 6 if the first digit of a phone…

A: Introduction: A combination is a method of selecting items from a collection where the order of…

Q: Solve the right triangle. If two sides are given, give angles in degrees and minutes. .B A A =…

A:

Q: 2. Find the Taylor series for f(x) = sin(2x) centered at 7/2. Find the radius and interval of…

A:

Q: If lim I+- 00 f(x) f(x) also equals -2. 2 with f(x) and g(x) both polynomials then lim g(x) I- 00…

A:

Q: Q 2. Let f(x) = 2x, for all x E] - T, T| (a) Calculate the Fourier coefficients a0, an and b, of f…

A:

Q: 1-12 I For each of the following power series, find the interval of convergence and radius of…

A:

Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Given the data in the table of the current flowing at time t.   ts 0.6 1.1 1.5 1.9 IA -0.62Id…

Q: Apply the Gram-Schmidt process to find an orthogonal basis for S. -3° 2 , 83 = S2 1

A:

Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

A:

Q: Determine convergence or divergence of the alternating series. 25) E (-1)n+1n+ /n n = 1 n2 + 1 8.

A:

Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: We can solve using given information

Q: Find the slope of the line, if it is defined. Through (-2, -7) and (5, 3)

A:

Q: Solve by the Laplace transform, showing the details and graphing the solution:

A:

Q: A. Caiculate the centroid coordinates of quarter circle (x + y a) in the first quadtant, use double…

A: Formula: The centroid of the region R is x¯, y¯, where x¯=1m∫∫R x dA, y¯=1m∫∫Ry dA and m=∫∫R dA The…

Q: 11.7 Let (rn) be an enumeration of the set Q of all rational numbers. Show there exists a…

A:

Q: 3. y" – 2y' + 2y = 4cos2t + 2sin2t у (0) %3D 1, у'(0) — 1 |

A:

Q: . Find the most general antiderivative of the function 2 f(a) = (2: 3 + sin(4 – x) + 7e-3a

A:

Q: s a. Show the transformations required to turn the following sequence into Tn = 0,1,3, 6, 10, 15,…

A: A sequence is a collection of numbers (or other items such as geometric objects) that follow a…

Q: 1. For each situation, tell whether it could be modeled by a linear equation, and explain why or why…

A: To determine which of the given situation can be modeled by a linear equation.

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

A: