(x+ y)dx + xdy = 0 ;y(0) = 1 Ans: x(x + 2y) = 0

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

A: We will illustrate that the sum of the measures of the angles of an elliptic triangle is more than 1...

Q: Write the first four terms of the sequence whose general term is given below. an = (- 1)*'(n + 2)

A:

Q: 1. A rectangular box has a square base. The combined length of a side of the square base, and the he...

A:

Q: -3 and v2 5 If i1 are eigenvectors of a matrix A corresponding to the eigenvalues A1 1 -4 and A2 =-2...

A: Remark: A non-zero vector V is said to be an eigenvector of a matrix A corresponding to the eigenval...

Q: The matrix -10 -3] A = -5. has eigenvalues -7 and –8. Find its eigenvectors. The eigenvalue –7 has a...

A:

Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the ...

Q: Let A be a 3 x 3matrix with rank 3. Suppose there are two 3 × 3matrices L and U such that A . Then w...

A:

Q: (x2 + y²)dx + xydy = 0 Ans: x2(x² + 2y²)c

A:

Q: Determine the inverse laplace transform of the following functions: Bw 6. (s+a)²+w² 3 7. s2+4s+29 s+...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: divceun(B)=0

A:

Q: Show that the matrix is not diagonalizable. 1 -1 4 1 2 0 2 STEP 1: Use the fact that the matrix is t...

A: We use the Theorem :An nxn matrix over a field F is diagonalizable if and only if there exists n eig...

Q: Part I. On Simplex Method Given: Min C = 3X1 + 7X2 + 5X3

A: Kindly follow the explanation 

Q: 11x2 - 8xy + 1ly2 – 45 = 0

A: Given,         11x2-8xy+11y2-45=0

Q: 3. If a tree has 10 edges, how many vertices it must have?

A:

Q: Find the Fourier sine transform of the function 0 if 0 2

A:

Q: Evaluate ([(3xi +2yi)-d$ -d$ where S is a sphere x +y +z? =9.

A: To evaluate the below integral. ∫∫S3xi+2yj⋅ds Here S is a sphere x2+y2+z2=9

Q: Find the solution (4D^2 -4D+1)y=0 when x=0, y= -2, y' =2

A: F

Q: Show that the matrix is not diagonalizable. 1-1 4 1 2 0 2 STEP 1: Use the fact that the matrix is tr...

A:

Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

A:

Q: Abstract Algebra: Suppose |G| = p3 and |Z(G)| ≥ p2, where p is prime. Prove that G is abelian.

A:

Q: Let n = 2288233. We discovered the congruences %3D 8805252 = 2 mod n 20572022 = 3 mod n 6485812 = 6 ...

A: So we have to use quadraric sieve method to find a non-trivial divisor of n. Where non-trivial divis...

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98 and a standard dev...

A:

Q: 6. (y cos x + 2xev)dx + (sin x + x²e° + 2)dy = 0; when x = 0, y = 0

A:

Q: (3. y" + у' %3D0

A:

Q: Use the Laplace transform to solve for y(t) : y(t) – So et-Ty(7)dt = t.

A:

Q: Solve for the differential equation 2. (4xy+3y²-x) dx+x(x+2y) dy=0; when x=2, y=1

A:

Q: 36xte-2a3 12xe-23 + 2 = 0

A: I have used Bisection method to solve this

Q: H.W. Prove the z-transforms for common sequences summarized in Table except the last sequence (15). ...

A: As per the question we have to determine the general expression of z-transform of a general sequence...

Q: 2. Compute F-dr where E= (x+ y,x-2z,z- y) and curve C is the line segment from (-3,5,1) C to (1,2,3)...

A: Using line segment as the base of a rectangle, we choose the height to be the height of the surface ...

Q: Obtain the solution of the wave equation u 12 under the following conditions (i) u(0, t) = u(2, t) =...

A: The given problem is to solve the wave equation using separation of variables and given initial cond...

Q: 2. Find the following state in USA map: Florida (FL), Georgia (GA), Alabama (AL), South Carolina,(SC...

A: According to the USA map, the graph becomes:

Q: Let S (1,2,3, 4,5,6,7,8,9, 10), G-Su, and T {1,7)CS. (a) Find G which leaves T setwise invariant, an...

A: Please check the next steps for detailed answer

Q: 0.2 Use Euler's identity to (a) show that (i) cos(0 – 1/2) = sin(0), (ii) – sin(0 – 1/2) = cos(0), %...

A:

Q: Consider the sets A={0,1,2,3,4,5,6,7,8,9), B={1,4,6,7,10,14}, C={3,5,6,7,9}, D={0,2,4,6,8). Find the...

A: Here we have to find following expression using sets A, B, C, D where U represents union of  two set...

Q: Find the general solution (D? + 9)y = 5e* – 162x %3D a. y = c, cos 3x + c2 sin 3x + 18x +e* 2 b. y =...

A:

Q: Problem 4 v = { 2 } in the standard basis. Find the coordinates of v in the new basis 2 B ={|

A:

Q: Solve for the differential equation (1+x²) dy+[(1-x)²-xe^-x] dx=0; when x=0, y=-2

A:

Q: Fact: Z is a Euclidean Domain. What is a norm? Fact: R is a Euclidean Domain. What is a norm' Is Q a...

A:

Q: & 28 root f x+ px'+ q* + rz0 One 3. equals the roob . Prove that px + 9x + r=0 * the ts other sm 3 +...

A: Given that, One root of polynomial x3+px2+qx+r=0 equals the sum of the two other roots. We need to p...

Q: 4n? an 2n? + 1

A:

Q: 2. (х — 4y — 3) dx — (х — бу — 5) dy %3D 0

A: Here, we have to solve differential equation 2,

Q: Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, ...

A:

Q: 2) Find the Fourier Series. Sketch the graph of the function for 3 Periods. x, -1<x<0 s(4)= {. f(x+2...

A: Given fx=x-1≤x≤0-x0&lt;x&lt;1

Q: 30m 30m 40m 35m Figure Qlb iii) Calculate the length r of the base of the triangle that would give h...

A: The value of x such that the length x of the base of the triangle that would give half the area of t...

Q: B. Solve each problem. Inverse Variation 1.) If x varies inversely as y and x = 13 when y = 19, what...

A:

Q: 3mr+8 The surface area of water in a bowl, A cm?, is A = Given that the rate of c 4T area is 4cm2s. ...

A: The given problem is to find the rate of change of area wrt radius, rate of change in radius and sma...

Q: r(4) = S e 2

A:

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not possi...

A:

Q: f (x) = - x²-2x +3 E xamine the Following three statements 2F(x) is a concave function red bap 2) Th...

A: We will use the first derivative rules and second derivative rules for functions to answer these que...

Q: pe S is one quarter of a solid sphere, centre O. Volume of sphere = Surface area of sphere = 4xr? Sh...

A: Here S is one by forth of a sphere of radius r. So the volume of S would be one by forth of the volu...