Ms. Poo Hun deposited P120,000 in a cooperative with 2.5% rate of interest. After 10 years, she decided to withdraw all her money from that cooperative to start her own business.   How much money will Ms. Poo Hun get? (5 points) How much is the interest of her investment? (5 points)

Q: Given f(x, y) = (3x – x2)(2y – y?). (a) Find all the critical points of the function. (b) Classify…

A:

Q: B. Construct a tormal proof of validity for each of the following argumentu (Add rows if necessary)…

A: (1) A -> B  & B -> C      (hypothetical syllogism) : A -> C      A -> C  & ~C…

Q: The vector tell f (xxz) = (z=+,2oxy"6) igven. Calkulate, using the stores theorem, the surface…

A: Given that  Fx,y,z=z2−1, z+xy3,6 To evaluate the integral ∫∫S∇×FndS using the stokes theorem.

Q: what is the equation of this picewise function? 10 2 10 -8 -4-2 2 46 8 10 -40 6,

A:

Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

A:

Q: Select all that are True. A. O 2° = "the number of subsets of {1, 2, 3, 4, 5, 6} that don't contain…

A:

Q: Use the graph of Ax)=4" to estimate the value of log, 27. 50 40 + 30 + 20 10 + -5 4 -3 -2 -ho 1 4.…

A:

Q: Part A Joan bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 43 dollars. How…

A: Solution

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: We have to find the percentage of error at n=3

Q: Examples: find the inverse laplace F(s) = 2s2 + 5 s3 +6s? + 5s -12

A:

Q: Evaluate the integral / (4x + 18y)dx + (27x – y)dy along the parabolic arc y = 2? from (0,0) to (1,…

A:

Q: A large corporation classifies its many divisions by their performance in the preceding year. Let P…

A:

Q: Use the specified row transformation to change the matrix. 15 8 Replace R, with 3R, +R2. -37 -1 6 7…

A:

Q: 6. If m/CDA = 44°, what is mZCBA? %3D A 22° 046° O 1369 0 449

A: 6. Given is a figure of a quadrilateral ACBD inside a circle   Also, given m∠CDA=44°   To Find:…

Q: If X is a normed space then the open ball and closed ball is a Example: convex set

A:

Q: Solve the initial value problem. y'+ 11y=1, y(0) = 1 y= (Type an expression using t as the…

A:

Q: 1. Consider the following scenario: Janet, Gail, Susan, and Lisa all walked away from the bus…

A: Here we shall take time on x axis and speed of walking on y axis we shall take distance.

Q: (2) Solve the initial Value Problems: a) Yt2.2 Y+l.17Y=0, Y(O) =2, y'(0) =-2.6;

A:

Q: 4. Give an example and a proof to show: Local isometries can shrink but not increase intrinsic…

A:

Q: Use convolution integral to solve the following IVP: y(0) = 0, y'(0) = 0. y" + y = e-5t;

A:

Q: Use the union rule to answer. If n(A) = 6, n(B) = 10 and n(A N B) = 4, what is n(A U B)? n(A U B) =

A:

Q: Find the amount of money (Future Value) in an account where $1,100 is deposited (Present Value) at…

A:

Q: Indicate the least integer n such that f(x) = (3æ³ + 2x²)(5æ5 + 4æ*) € O(x").

A: Finding f(x) explicitly using multiplication of polynomial. The highest power of x or degree of f…

Q: Evaluate the Riemann sum for g(x) = 5 sin x on [0, π] by taking sample points to be right endpoints…

A: The Riemann sum of the function fx on the interval a, b is: Rn=∑k=1nfxk ∆x where n is the number of…

Q: Given a positive integer n, how many decimal strings of length n begin or end with an odd digit?…

A:

Q: Question 12 Select all that are True. A. O |P(A) × P(B)| = |P(AU B)| for all pairs of sets A and B…

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

Q: If z = f(x, y), where x = 2ts and y = t2 + s², show that () - 2 + 2x + 4y %3D dsdt

A: Here given z=fx, y and x=2st, y=s2+t2

Q: Find the derivative using the definition fex)- = C fcx) fCx) = そり f ex) = KX" f cx) fx) = gx).hcx) 9…

A:

Q: sinh(2 In(c)) = %3D (A) 을 + 는 1 2c (B) c² – (C)를 -높 - 1 2c (D) c – 1 (E) 0 8:11 PM нage

A: We want to find the value of sinh(2ln(c))

Q: If A = (2y +3)i + xz j + (yz – x)k, evaluate A·dr along the following paths C: (a) x = 2t² , y = t,…

A:

Q: Perform the indicated matrix calculation. 1.4 3 2.2 0.6 - 1 0.1 + - 8 0 0.7 0.5 1 0.8

A:

Q: Reduce the iven into RREF, matrices and hence determine the rank of each matro. 32 1 -1 3 -6 7 1 -2…

A:

Q: Which of the following is the contrapositive of the sentence " If n2+4n+5 is odd, then n is even"?

A:

Q: Let A ∈ M (3,R) be invertible and C, D ∈ M (3,2,R) . Solving B from the equality A(B+Ct)t = D, what…

A:

Q: 22 Find the PA = LU factorizations (and check them) for [o 1 1 A =10 1 2 3 [1 and A = 2 4

A:

Q: Question.2 Let f: [0,2] → R be a function f (x) = {x, ifx 1 Show that f is R – integrable. |

A:

Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Given that log, a+log, b=3, calculate all the possible integer values of a if b is also an integer…

A:

Q: Let S be a sample space and E and F be events associated with S. Suppose that Pr(E) = 0.5, Pr(F) =…

A:

Q: Topology: Give five pairs of things and words (3-, 4-, 5-letter words, respectively) that are…

A: We need to find, 5 pairs of things are homeomorphic. 5 pairs of words that are homeomorphic.

Q: Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma.…

A:

Q: Find a 2 x 2 matrix A with integer entries where the characteristic polynomial |A – AI| is X² + 2A +…

A: Finding such a is equivalent to finding a 2 by 2 matrix with trace -2 and determinant 5. As in…

Q: Write out the sample space and assume each outcome is equally likely. Then give the probability of…

A:

Q: (b) Find a power series for (8+ r)2/3 and write down the first four non-zero terms explicitly.

A: Use the Maclaurin series to expand the function.

Q: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A:

Q: Evaluate the double integral. dA, D-

A:

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: 2. Draw three different graph that has a Euler Circuit. (minimum of 5 vertices)

A:

Q: 1) Consider the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u; 0 <u< n, 0 <…

A:

Q: By fixed-Point Iteration, evaluate f (x) = x* –x-e* starting at x1 = 0.

A: Given that fx=x2-x-e-x and x1=0. To find: the root of the given equation. Please post the multiple…