You borrow 25500 DHS from your brother and promise to pay back 30000 DHS in twelve (12) months. What simple interest rate will you pay? Identify the Future Value amount Identify the Principal amount DHS DHS Identify the Time (as used in the equation for calculation) years

Q: Problem 2.87. Lay 4.6 # 2 (Optional Practice: #1, 3, 4) Assume that matrix A is row equivalent to B.…

A: Given A is row equivalent to B (row reduced echelon form of matrix A) In given matrix B two non zero…

Q: Given AABC. AABC is rotated 90º around point R. What are the coordinates of A', the vertex of…

A: Given: A triangle ABC is given. △ABC is rotated 90° around the point R. To find: We have to…

Q: For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the…

A: As per guidelines we are supposed to answer only three subpart. Here question 1, 2 and 3 answared.…

Q: I don't understand why the -xy transform to -r^2*cos^2(theta)*sin(theta). Since I think…

A:

Q: Let A and B be nonempty sets. Prove that A x B = B x A if and only if A = B.

A:

Q: Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial…

A: -3x+y+6z=208x+2y+3z=512x+5y+z=23 Initial solution 0,0,0

Q: Let T be an operator on an innner product space V, and suppose that ||T(x)|| = ||x|| for all x in V.…

A:

Q: To show that the general factorial function: (a)m ere m is a positive integer and n is a non…

A:

Q: 18. Use the Frobenius inner product to compute (A, B), ||A||, ||B||, where ^-(-7) - (79) A = B 7 i

A:

Q: When a medical sample arrives at the laboratory, it is placed in a queue before being processed. The…

A: The function y=mt represents the medical tests queue arrived for testing at t hour and the function…

Q: If 4 persons are chosen at random from a class containing 8 freshmen and 12 sophomores, what is the…

A:

Q: Find y as a function of x if y(0) = 13, y' (0) = 22, y" (0) = 27. y(x) = y" - 15y" +56y' = 42e*,

A:

Q: Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A:

Q: c) y" - xy = 0.

A:

Q: Use the Lyapunov function of the form V(x, y) fixed point of the following system: ax² + by² to show…

A: Given Lyapunov functionVx,y=ax2+by2 The system of differential equation is  x˙=-x3+2xy2y˙=-y3…

Q: 1. Given; OW || LB, OW LB, BOWL Prove: BOW/WLB B O W

A: The given figure is an the given conditions are OW||LB. The objective is to prove that the triangle…

Q: point Use the graph of f(x) shown below to find the following integrals. (Click on the graph for a…

A:

Q: The MacLaurin series is given by the formula • ƒ(n)(0)xn n! fx = [ n=0

A:

Q: 1- Use the method of Frobenius to obtain series solutions of the following. xy" +y¹-3y=0

A: The given problem is to find the solution for the given differential equation using the method of…

Q: 20. Twelve children are to be divided into groups of three to play different number games. In how…

A: Solution :- Given, Total no. of children = 12 We have to divide into the three groups.

Q: State why the system of equations must have at least one solution. (Select all that apply.) 2x + 3y…

A:

Q: Let f: R² → R² be the linear transformation defined by f(x) = 4 -5 3] x. 0

A:

Q: Can you please answer the following:  List all families of series and Make a table listing the…

A: (A) List all families of series. (B) List of Tests of series and Properties.

Q: 2 g(x)=(x-3)² 2 4 6 X g(x) = 4 0 4

A: Parent function is the function in which some transformation is done to obtain a new function.…

Q: 3. by (a) Define a transformation for all A in Mnn. (c) (d) P: Mnn Mnn P(A) = A - AT Identify…

A:

Q: 1- Use the method of Frobenius to obtain series solutions of the following. xy" -3y' +y = 0.

A:

Q: Q14A. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: The given problem is to find the intersection of sets B and D with the given defined sets A,B,C,D.

Q: Find the eigenvalues of A, given that A = 4 00 -7 -3 0 -4 -4 1

A:

Q: Suppose each of three construction industries—dwellings construction, roads and bridges…

A: Let, Dwellings construction represented as X Roads and bridges construction represented as Y Public…

Q: Find the general solution: y-9y'+14y=-4e³* +6sin 2x

A:

Q: Prove that : L²₁ (1-x²) Pm Phd x T 0. 2n (n + 1) 2n + 1 4 mn. m = 11. m, ne N

A:

Q: Find the length of the curve = 1, 6² from the point (a, 0, 0) to the point (x, y, z). x = a cos h Z.…

A:

Q: The table below shows the projected values (in millions of dollars) of hardback college textbooks…

A: 1st we will make equation of 3 variable a,b,c using given data and then  solve it by cramers rule…

Q: - f(t) = t²sin (2t)

A:

Q: 8. How many different boxes containing 10 wedges of cheese can be made by using wedges of Cheddar,…

A:

Q: 5. Find the centroid of the region bounded by the curves: a) y = x³; x+y= 2; x = 0 b) y = x; and x =…

A: The area is bounded by y=x3; x+y=2; x=0 The point of intersection is 1,1, 0,0, 0,2…

Q: Salmon swim up to 2000 miles upstream to spawn. Scientists have found that the oxygen consumption…

A:

Q: . Solve the following problem over the interval from x = 0 to 1 using a step size of hi-l and ha=0.5…

A: when h=1 y(1)=1     when h=0.5 y(0.5)=1.5 and y(1)=3.337

Q: Use Stoke's theorem to evaluate I=fF.dr where F=2²i+y²j+zk and c is the triangle with vectors…

A: The given function is F→=z2i^+y2j^+xk^. To Evaluate: ∫CF·dr. where C is the triangle with vertices…

Q: Find all solutions to the following congruencies A.) 2x+3=7 (mod 9) B.) 2x+3=7 (mod 10)

A: Congruence: For some positive integer n, two integers a and b are said to be congruent modulo n if…

Q: 8. For x < 1, Σx² = 1/(1-x). (a) Find Σnx” for |x| < 1.

A:

Q: 1- Use the method of Frobenius to obtain series solutions of the following. y" -xy = 0.

A:

Q: Use the more convenient order to evaluate the integral over the plane region R.

A: To calculate the double integral, ∫∫R6x2dA. Here R is the region bounded by the curves y=0, y=x,…

Q: 9. Let T be an operator on an n-dimensional vector space V over a field F. (a) If T has n distinct…

A:

Q: First derivative of F(x): 4/{2F₁ (a, b; c; x)} = a.b C 2F₁ (a +1, b+1;c + 1; x)

A:

Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

A:

Q: Find the length of the curve 1.2 6² from the point (a, 0, 0) to the point (x, y, z). 1, x = a cos h…

A:

Q: Approximate the root of the equation √√x + x² = 7 using the initial value xo = 7 and using the 4th…

A:

Q: not Show that Ris Aft connected surgen fray half opon interval topology the

A: We need to show that ℝ is not connected in the Sorgenfrey half-open interval topology. A connected…

Q: Use​ Newton's method to approximate all the intersection points of the following pair of curves.…

A: