Two banks pay simple interest on short-term deposits. Bank A pays 6% p.a. over 3 years, and Bank B pays 6.5% p.a. for 2 years. The difference between the two banks' final payout figure, if P12 000 was invested in each account is: O Php 210 O Php 180 O Php 150 O Php 203.20

Q: Determine L {F}. s²F(s)-5sF(s)-6F(s) = 2 4s +1 2 S + 4s

A:

Q: Obtain the solution of the following initial value problem using Laplace transform! y"+y=t, y(0) =…

A:

Q: Let (t)=(-5t2+4,t³-+4,2+³) 7 Find the line (L) tangent to (t) at the point (-1,0,2) L: (x,y,₁2)= +t

A: The given problem is to find the line tangent to the given parametric curve at the given point…

Q: A father puts Php550,000 in a savings account at a birth of his son, If the account pays 2.5%…

A:

Q: Ex: On a mini-golf hole, golfers must putt the ball through a castle's entrance. The entrance is…

A: Ht=-4cosπt4+4

Q: Let C be a constant. Consider Compute(a) da. ان | دن 3 7 3 73 ㅠ + CT 53 + СT 7 + СT 3 -x², f(x) 2) =…

A:

Q: 10:50 PM Sun 11 Dec <=OS ... AQT6 0 Obtain the solution of the following initial value problem using…

A:

Q: Find I's 1-25 s(5²+1)

A:

Q: 2. Let A = {x € N: 3 ≤ x ≤ 13}, B = {x € N : x is even}, and C = {x€N: x is odd}. (a) Find An B.

A:

Q: Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at…

A:

Q: ulate the angle between the two vectors i +2j+ 3k and 3i - 2j+ k er your answer in the box below,…

A:

Q: Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0…

A: A model is given, which is as follows: y't=0.01y-b, y0=500 The aim is to find the solution in terms…

Q: Find the sum of the series: Σ n=0 - 1)"25¹–2 (2n + 1)!

A:

Q: Consider the initial value problem for function y given by, y" - 3y + 2 y = − 6(t – 3), (a) Find the…

A:

Q: Find the equation of osculating sphere at the origin of the curve x=a, t² + 3b₁t² +3c₁t, y=a₂t²…

A:

Q: Determine the inverse Laplace transform of the function below. S-3 3s² + s +9 Click here to view the…

A:

Q: Prove that the geometric series Σx k=0 converges uniformly on any closed interval [a, b] C (-1, 1).

A:

Q: The graph of the velocity of a car accelerating from rest to a speed of 90 km/h over a perio v…

A: The given curve is, To Estimate: Distance using Mid point Riemann sum with 6 equal sub-interval.

Q: f(x, y) = 6 -√√3x² + 1y² Local maxima are Local minima are Saddle points are m m

A: The given problem is to find the local maxima, local minima and saddle points for the given function…

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. -24-14] 84…

A: Given matrix is A = -24-148446

Q: Find the parametric vector solution to the homogeneous system. A= 2 -6 0 4 2 1 -3-4-2 61 1-3 4 60 2…

A: We have  A=2-60421-3-4-261-34602-6-13-1 To solve Ax=0 Let's first find its row reduced echelon form…

Q: Complex numbers Z₁, Z2, Z3 are the vertices A, B, C, respectively, of an isosceles right-angled…

A:

Q: Determine ¹{F}. F(s) = s²+7s+16 (s + 3)² (s + 4) Click here to view the table of Laplace transforms.…

A:

Q: Use the table below to find the percentage of data items in a normal distribution that lie a. below…

A: From the z table a) The percentage of data items that lie below the z score 1.1 is 84.13%.

Q: a. √√√(a + 1)z² + (c + 1)z dz (²+c+2 dt b. ₁2-(a+b+1)

A: (a)    Let the given integral is  I=∫a+1z2+c+1zdz     where  a = 1,  b =  4,  c =  8…

Q: Find the eigenvalues of the given matrix. [22-13] O 1, -2 O 1,2 1 O-2

A:

Q: how the work on the right side of the paper ft. You MUST show the work of synthetic su edit. Using a…

A:

Q: Determine all the primes p such that p^2 77 has exactly 5 positive divisors.

A:

Q: For the system of differential equations do the following. p' = -p² + q-1, q' = q (2 - p - q)

A:

Q: Use algebraic methods to find as many intersection points of the following curves as possible. Use…

A:

Q: 5. (a) Find all singular points of (x³ + x² - 5x³x² + 8x - 4)y" + (5x + 10)y' + (10x − 10)y=0 -…

A:

Q: 3-6 Sketch the region enclosed by the given curves. Draw a typi- cal approximating rectangle and…

A:

Q: Consider the function f (x, y, z) = x+y+z¹ subject to the constraint x² + y² + z² = 1.

A: The given problem is to find the maximum and minimum of the function f=x4+y4+z4 subject to the given…

Q: Let 1, Z₁, Z2, Z3, ..., Z-1 be the nth roots of unity. Then prove that (1-z₁)(1-z₂) ... (1-Zn-1) =…

A:

Q: D 0 Question 27 The identity matrix In is similar to all invertible n x n matrices. True False…

A:

Q: 8. Let A be a square matrix of order n > 3, and suppose that det(A) = 3. Find the following…

A: Given: A is any matrix with detA=3. To Find: det(A3), where A3 is the matrix obtained by rearranging…

Q: Warren opens a savings account, with the goal of saving $25,000 by making deposits each month for…

A:

Q: A college student works for 8 hours without a break, assembling mechanical components. The…

A: Number of component assembled in h hrs = q(h)  We need to find time when q(h) increases most rapidly…

Q: Consider the initial value problem for function y given by, y" - 2 y 3y = 4t³ 8(t - 3), (a) Find the…

A:

Q: Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. -…

A:

Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

A:

Q: Spring 2020 17. Silas owns a lemonade stand. He has found that the cost of operating the stand is…

A:

Q: Q10. Find the volume of the solid bounded by the cylinder x+y=4 and the planes z=3-x and z=x-3 Q11.…

A:

Q: Consider the indefinite integral the integral into: fid du 3 3 u² [² -du u-7 9u² [³1 -du 3 ln(u) u²…

A:

Q: Determine {F}. F(s) = 7s³ - 15s² - 9s +27 3 3 s³ S (s - 3)

A:

Q: Question 1 Find the characteristic equation of the given matrix. A = 25 3 1 0 4-5 8 0087 000 2 HINT:…

A:

Q: The universe is the set of positive integers N. Let P(x) be the following proposition on x: P(x):…

A:

Q: pb4 solve the wave equation BU - 2² (2+2) d²² In a rectangle region 0<x<L, o<Y<H with boundary Ko₁y₁…

A:

Q: f (x, y, z) = sin a cosh y on the rectangular domain D = {(x, y) such that 0≤x≤ 2π, 0 ≤ y ≤ 1} You…

A: To find critical points and classify them

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: