Please draw cashflow diagram) What amount of money invested today at 15% interest rate compounded quarterly can provide the following scholarships: P30,000 at the end of each year for 6 years, P40,000 for the next 6 years and P50,000 thereafter?

Q: พ 6

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Q: (b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy…

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A: Solution:x2+y2-4y=0, y=4-x and axis of revolution y=0above equation x2+y2-4y=0 can be written as…

Q: A. SOLUTION OF NON-HOMOGENEOUS SYSTEM GIVEN: 7-340 0 -7] A = 2 1 -1 14 6 01 0-3 -5

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Q: denotes the set of subsp

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Q: Solve the differential equation using inspection method d'y d³y dx5 dx³ = 24.

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Q: f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Composite rule is used

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A: Given parabola as, x=4y-y2 and y=2x.

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Q: Find the volume of the solid generated by the region bounded by x2 + y = 6, y = x, y = -2 and x = -2…

A: Here we see the effect of revolving small depth dx.

Q: 77 [(8-x1²- (2+x²) ² ]dx 1-2 663.5817

A: let I=π∫-228-x2-2+x22dx since the function is even , integral becomes I=2π∫028-x2-2+x22dx simplify…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: find the polynomial f(x) for which x.f(x-1)=(x-3).f(x) prove that f(x)=x^2n + a^2n is not divisible…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Let X=x,y,z,t be the vector that is orthogonal to u= (2, 1, - 4, 0), v= (-1, - 1, 2, 2) and w= (3,…

Q: nonhomogeneous system tY' = 2-2 Y + -2t (₁-²₁).

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Q: (2) If c(z) ≥ 0 for all z = [0, 1], then a function minimizes J(v), that is, J(u) = inf J(v), with…

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Q: 11 > Find the minimum and maximum values of the function f(x, y, z) = x - y4 - z4 subject to the…

A: Solution:-

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

Q: Inz) = Inr ei ) = Inr) + In ( e°0 )=ln r+iᎾ z = reie

A: A complex number is expressed in various ways. Apart from rectangular representation, a complex…

Q: Solve the linear system using both gauss-jacobi and gauss-seidel x₁ + 3x₂ - x₂ = 5 3x1 - X2 = 3 x₂ +…

A: Apply the following steps, to solve the given system of equations by the iterative method.…

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Q: Let f: MM' be an R-module homomorphism, then

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Q: Question 1: Show that X is Hausdorff if and only if the set S = {(x,x): x € X} is closed in X X X.…

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Q: Allow A be the point with Cartesian coordinates (6, 9), and D be the plane curve with parametric…

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Q: 2x + 3y + z = 10 2x - 3y - 3z = 22 4x - 2y + 3z = -2 L Answer x = || y = U -E=3 Z =

A: The solution is given as

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Q: Determine the solution to the given ODE: y = √1-y² over the interval from x=0 to 0.5 using a step…

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Q: Suppose you have an mxn matrix A and its Singular Value Decomposition (SVD): A = UEVT Pick all of…

A: Solution

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Q: please do part a and c only. The part c is the priority

A: As per the question we are given a surface S in xyz space as : 4y2 + 4z2 - x2 - 16 = 0 And we have…

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A: The saddle point of the payoff matrix is given by  0-1-6668-5-11 we apply the minimax principle…

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Q: (b) One of the following is NOT a second order PDE: (A) Uz Uyy + Uzy=0 (C) (U₂)² -Uz Uy = 0 (B)…

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Q: Determine if the function g: RR defined as is analytical og if yes, find its Taylor series. g(x) =…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

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Q: S. ² √(√₁² - ²√₁²) ³ dt

A: We have to solve given problems:

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A: This is a question from the application of calculus.

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

A: Pappus Theorem: If a plane area revolved about an axis lying in its plane and not intersect (may be…

Q: V be a finite dimensional vector spac field F, then there is a natural isom "onto V**. V**. |

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Q: 5. The von Bertalanffy equation is defined by the ODE W'(t) = aw (t)-BW (t) where is a constant…

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Q: S- f(t) -fet-a, t>a J O ),^<a cring ка Se Shifting

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Q: Consider the vec Ř(e) {{cos (1²₂), c² - 2². ²+/-) t# -1 <-1,4,-27, t = 11. (1.) show that I is…

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Q: Let S be the surface with equation 4y² + 4z²x² - 16 = 0. 1. Find an equation of the trace of S on…

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Q: 5. z = yex+x Iny xey-y lnx

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Q: - (² homogeneous system ty' = 2 -2 Y +

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Q: 8). Prove the validity of the arguments using the method of conditional proof. a). p → q (qvr) →→s…

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