10. If A > 0, B≥ 0 and AB BA, show that AB ≥ 0.

Q: B3. A device has two components, and the lifetimes of these components are modelled by random…

A:

Q: d) Solve the following game for optimum strategies and the value of the game given the following…

A:

Q: Let X = Q be a metric space with d(x, y) =r - yl, for any z, y EQ. Define the set E = {r € Q: 2 <³…

A: Since for any , we have , since otherwise , which contradicts to the definition of E. Similarly, we…

Q: 2. (a) Trace the curve y²=(x-2) (x - 5)².

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 6. Let A, B E Cnxn be Hermitian. Show that A and B are similar if and only if they are unitarily…

A: We proved that A and B are similar if and only if they are unitarily similar.

Q: 7. Evaluate the integral ſ F(x, y, z).dr = ffs curl (F(x, y, z)).ds with F(x, y, z) = (4y, z, 2y)…

A: Given                                                               therefore                 the…

Q: Rental costs for office space have been going up at 7.4% per year compounded annually for the past 5…

A:

Q: Com Find two linearly independent vectors perpendicular to the vector 4 = -9

A:

Q: Find the indicated limit by using the limits lim (x, y) → (a, b) [f(x, y) = g(x, y)] lim (x, y) →…

A:

Q: Prove VnEN, + + + 1 2 3 1 + ≥1+ 2n 1 2n n 2

A:

Q: fk (x) = fk (x) 9k (x) = { 9k (x) = = = sin x k X 1+kx² if |x ≤ k if |x|> k. ((-1²) c -) cos(kx)

A:

Q: State the domain and range of the transformed function f(x)=610g10 -2(x-5).

A:

Q: Use upper and lower sums to approximate the area of the region using the given number of…

A: The given graph is:The given equation is .Find the upper and lower sums.

Q: Find the derivative d dx -81-2²

A:

Q: Quality Rating Average Outstanding Exceptional a. Use a 0.05 level of significance and a test of…

A: We have given: Education (Oi)Quality RatingSome HSHS GradSome CollegeCollege…

Q: et g(x) = -.5x³ex² + √3 sin(x) on [-5,5]. Find the x-values (s) where g(x) has a horizontal tangent.…

A:

Q: 5 A tin of soup has the following information on the label. 4g 200 grams of soup contains…

A: The objective of this question is to determine the fraction of the soup that is protein and the…

Q: Answer the question below. View the rubric linked above for help if needed. Determine whether a…

A: The Rubic shift 6 unit downward and shift 4 unit right side.Downward shift means change in y…

Q: Calculate the surface area of the portion of the solid z = cylinder x² + y² = 4. √√x² + y² that lies…

A: GIven that the solid  that lies inside the cylinder

Q: Find eA where (i) A = = -1 - 4 3 -1 0 3 0 1 2 . and (ii) A = 2 00 -1 20 012

A:

Q: Hale College predicts that in 12 years it will take $200,000 to attend the college for four years.…

A: The objective of this question is to find out how much Hannah needs to invest now in order to have…

Q: (31/1/2 03 A= 1 1 - 1 3 3 3 1 0 0 0 0 0 0 0 -130 0 0 10 3/

A: According to the given matrix A, find an invertible matrix P such that .

Q: Solve the following equation: (X² + y²) dx = 8 (XY)dy, and find the value of y at x = 5 where y = 0…

A:

Q: Write these permutations as a product of disjoint cycles: (1; 4; 5; 6)(2; 1; 5) and (2; 1; 5) (1; 4;…

A:

Q: Find the solution of the recurrence relation an = 2an-1+3.2.

A:

Q: At what value(s) of a does f (x) = 5x¹ - 45 x² have a relative minimum? -3 and 3 only 0 and 3 only 0…

A:

Q: 2. Draw a circle. Show in your drawing and label the following items: a chord that is not a…

A: 2) Proof:According to the given information, draw a circle and label:

Q: Perform the Gram-Schmidt process on the following sequence of vectors to find an orthonormal basis.…

A:

Q: An icosahedron is a Platonic solid with a surface that consists of 20 equilateral triangles. By what…

A:

Q: 2- Find the inverse of the following matrix using Gauss elimination method 3 A=[-²2 5 -2 -3 B 1 -1…

A:

Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = --B 7 010

A:

Q: Solve 3 So 5² √ In ( ² ) a dx E

A:

Q: Given the vector functions [-2₂2²]e ²7 e-t are solutions to a 2 x 2 constant-coefficient…

A:

Q: Suppose z = 16-4x² - y². (i) Write down at least three possible values for (x,y). (ii) Determine the…

A: The given function is .We need to find at least three possible values for  and determine the domain…

Q: A parametric equations

A:

Q: Choose the most appropriate solution of y' =* for x = 0.25 using Taylor's method with the initial…

A:

Q: This table shows the speed of a marble rolling down an inclined slope. Time (s) 2 3 4 5 Speed (m/s)…

A: 9.Time(s)Speed(m/s)14.2215.9337.2466.75107.66149.97202.9We can see that the speed difference from…

Q: P= Let A = -38 70 105 7 15 20 27 -5 -10 Find an invertible matrix P and a diagonal matrix D such…

A: The objective of the question is to find an invertible matrix P and a diagonal matrix D such that D…

Q: Use graph transformations to draw a graph of the function g(x)=-3x+1+7

A:

Q: sup norm

A:

Q: Examine the following graph that displays different distance weighting functions. Match the…

A:

Q: Eq 1 PV = 10 + Eq 2 (1+i) (1-0) 10(1-0)¹ (1+i)¹ (1+i)² (1+i)³ PV = + 10(1-0)² 10(1-0)², 10(1-0)³ +…

A: Given that ..Observe that .

Q: Consider a group G of order 60. Prove that G has an element of order 2. Use the fact that the order…

A: In group theory, Lagrange's theorem states that the order of a subgroup divides the order of the…

Q: Suppose the Bainters purchase the $150,000.00$150,000.00 home with a 20%20% down payment, a…

A:

Q: a b . Let R be the set of all 2 x 2 matrices over Q s.t., a = d and c = 0. Let I be C d the set of…

A:

Q: MegaMart Stores needs to decide how many of commodity X it needs to purchase for sale in its stores.…

A: Marginal profit: per bookMarginal Loss:  per bookConditional profit:if if Payoff table: Number of…

Q: Show that ye" = implicitly defines y as a function of r, for z 20. What is the Taylor polynomial, up…

A:

Q: 8. Plot the graph of the following: a) ƒ(x) = (x − 2)² (2x − 8)³ (5x + 15) b) f(x) = (3x + 4) (2x −…

A: We have to plot the graph of the given equation

Q: A lottery has a grand prize of $300,000, four runner-up prizes of $37,500 each, ten third-place…

A:

Q: Runge-Kutta method

A: