Suppose f : A → B is an injective function, and {A;};e1 is a partition of A. Prove that {F (A;)};er is a partition of 7 (A). iEI

Q: Find orthogonal matrices that diagonalized the matrix below. Show all work computing eigenvalues and…

A: Diagonalisation of the Matrix

Q: cot x csc x - 1 csc x + 1 cot x L.S. R.S.

A: We have to prove that cot xcsc x+1=csc x-1cot x.

Q: Perform the indicated operations and simplify the result. sec e sin e 1 tan e 1 - sin 0 1 sec20

A: To perform the indicated operations and simplify the result.

Q: Consider the trees with 7 vertices which have exactly 4 leaves. (a) Find a representative of each…

A:

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

A:

Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

A:

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

A:

Q: 29 U 45 A 20 54 32 In Figure LE1, A is the set of people who go to a resort area for vacation, B is…

A:

Q: 1. Six line integrals in no particular order. (a) Evaluate fF dĩ where: F(r, y, 2) = (y²z", 2ryz",…

A:

Q: -2 Find C, where matrix C = [3/2 -1/2

A:

Q: If the sequence converges as n – 00, find its limit. (Leave your answer exact.) If the sequence…

A:

Q: Dave and Frank are graduating and are no longer going to be roommates, but they both want to keep…

A: Solution :-

Q: True or False. Provide reasons a. Let {A„} be an unbounded sequence of positive terms. Then, lim A,…

A: Given: Three statements. We need to check whether the given statements are true or false.

Q: Angle between Regression Lines. Suppose one finds the linear regression of y on x and also the…

A:

Q: (b) Given that x =1-4i is one root of the quartic equation z*- 82' + 542? – 152z + 425 = 0, find the…

A: Q6. b. The given quadratic equation is z4-8z3+54z2-152z+425=0 and one root is z=1-4i. To find: other…

Q: For the set A = {are, bot, cab, era)}, define the relation R on A to be: (x,y) eR if and only if…

A: As per the condition, in every order pair there should be only 1 letter in common.

Q: Fit a straight line y = ax +b to the following data 3 8. y 3. 21 4.

A:

Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: One example to find the area of the region enclosed by the curves. (a) y=ex, y=e6x, x=1

Q: y = x and y=x+2 Revolve the area about the linex=3. Using cylindrical shell method, the volume of…

A:

Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is   p = 300…

A:

Q: a. 0 =-45 → graph type = b. r 8-8cos0graph type = facing up/down/left/right? loop length = c. r 9sin…

A: To write: Characteristics of following curves: a) θ=-π4,b) r=8-8cosθc) r=9sin6θ As per policy, we…

Q: Bolts of Ohmi Akinbak fabric, which are woven in Sacralstan, are sold in Sacralstanian units of 39.9…

A:

Q: Describe the graph of the equation. r = 2 cos t i - 6 sin t j+k O An ellipse in the planex = 1,…

A:

Q: 2х + z + 2w - 6 y - Зх + 4y + w = 1 х + 5у + 2z + бw %3D — 3 5х + 2у — — W = 3 |

A:

Q: For a natural number n, let An = {1,n, n²}. Determine 3 3 U Aj and NAj. j=1 j=1

A:

Q: dx 1) S,

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: A y y = x2 + 1 y = x -1 2

A:

Q: 5. Let o1, 02, 03 be the Pauli spin matrices -(* :). --(: 5), -(; :) 1 01 02 03 1 0 i and oo = I2.…

A:

Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

A:

Q: Jan Reus sold her home and has $18,000 to invest. She believes she can earn 8% compounded quarterly.…

A:

Q: (b) C(R)= {f:R→R | ƒ continuous} with pointuwise addition and multiplication of f, ge C (R) defined…

A:

Q: Solve the problem. 19) Mari drops a ball from a height of 18 meters and notices that on each bounce…

A: Given: Mari drops a ball from height of 18 meters and notices that each bounce the ball returns…

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: We have to find the value of constant variation. Then we can proceed further.

Q: QUESTION 2 Consider the binomial 3x- 2x Match the coefficients with the corresponding powers of x А.…

A:

Q: cos (2n - п {a,} =- V2n? +1

A:

Q: A comet follows the hyperbolic path described by 11 = 1, where x and y are in millions of miles. If…

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: Solve the system of equations below dx = 5x – 3y dt dy 11x – 9y dt %3D

A:

Q: If you know f(t) = L-'{F(s)}, how would you find L-{F(s)/s² }?

A:

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

A:

Q: statement. y" – 2y² = sinht It is a (a) Second-order, linear ODE; (b) Second-order, non-linear ODE;…

A: Solution

Q: Find each measurement indicated. Round your answers to the nearest tenth 1) Find BC 2) Find mLA B C…

A:

Q: 10. Let C' (R) be the set of all continuously differentiable functions. Show that W = {f : f' - Af =…

A:

Q: ) Estimate the distance (in mi) the race car traveled during this time period using the velocities…

A: Given that: Time (s) Velocity (mi/h) 0 183.9 10 168.0 20 106.6 30 100.8 40 124.5 50…

Q: 1) Š(-1)"- n²2" n=1 b) Find the minimum number of terms of the series that we need to add in order…

A:

Q: 5. Solve the equation z = 2 – 51. Use radians and leave your answer in polar form. Round numbers to…

A:

Q: Find the first five nonzero terms of the Maclaurin series for f(x) = (1– 2x + 3x? – 10a° + 28) e -…

A:

Q: If A and C are nonempty classes, prove that AC B and C C D if and only if AxC C BxD.

A:

Q: 4. (а) Find d -1 dx V 1+ x². 1 (b) Hence evaluate 2 dx. (1+ x2)3/2

A:

Q: What is the order of the following differential equation? dx d²y 2 z, = xyz dt3 dr? dr 3 2 0 1

A: Solution :-