1. Determine the amount of money invested today at 12% interest can provide the following educational plan: P312,000 at the end of each year for 6 years; P227,000 for the next 6 years, P89,000 thereafter?

Q: Guess the value of the limit lim z00 2 by evaluating the function in the limit expression for I=…

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A: The given point at which we want to apply translation is (-3, 15).

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A: Introduction: A number is prime factorised or integer factorised when it is broken down into a set…

Q: The Downtown Community Barbecue served 308 dinners. A child's plate cost $3.90 and an adult's plate…

A: Total dinners = Child + adult = 308 Child be 'C'  Adult be 'A'  C+A= 308     -(1) Cost of child…

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A: Given series is ∑i=135 + 4i

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Q: 2. Let A:= {1,2, 3, 4} =: B and T:= {(a, b) E A x B | l e Z}. (a) Find A x B. (b) Find T (c) Check…

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Q: Which of the following is false? a) The cosine function is differentiable everywhere. b) A rational…

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Q: Solve the given differential equation by undetermined coefficients. y'' + 2y' = 2x + 7 − e−2x y(x) =

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Q: A manufacture has been selling 1700 television sets a week at $390 each. A market survey indicates…

A: (a)  p-390390-377=x-17001700-1830      p-390=-110(x-1700) p(x)=-x10+560

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Q: „ROC: |2| < 1. The Z-Transform of signal x[n - 1)is Let xlz] be the Z-Transform of a sequence x/n)…

A: Introduction: The Z-transform converts a discrete-time signal, which is a sequence of real or…

Q: Prove that p → q and its contrapositive logically equivalent. are

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Q: urface S is parametrized by equations x = u + v, y = 3u², z = u – v; The point P (2, 3, 0) lies on S…

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Q: 2ea

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Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

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Q: 1. The binary operation * defined on Z by x * y = 2xy. Show that * is commutative and associative.

A: Given data: The binary operation * defined on ℤ b x*y=2xy

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A: We want to find coordinates of point H'.

Q: matix for a game is given by 2 -3 Compute the expected payoffs of the game for the pairs of…

A: Given : The payoff matrix 2-3-31

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A: Introduction: Euclid's algorithm is a method for calculating the greatest common divisor of two…

Q: In Problems 27 and 28, the indicated functions are known linearly independent solutions of the…

A: To find- The indicated functions are known linearly independent solutions of the associated…

Q: (c) Show that the differential equation æy" - 3y + ry = 0 has a general solution of the form y(x) =…

A: Given differential equation is xy''-3y+xy=0       (1) Let the solution be y=∑n=0∞anxn+m be the…

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A: Introduction: The formula for the double integration is given by,…

Q: 21 4. (s+ v2)*

A: We want to calculate Laplace inverse L-121s + 24

Q: Ex. (12) Solve [D2+3D -4]y=2sin (5x) Sals-

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Q: Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the…

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Q: 808 Find the initial value of the transfer function X(s) : s(s²+2s+101) 4 1 8

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Q: True or false? a. Deductive reasoning begins with a true statement and ends with a true or false…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: Let s(t) = t3 -6t2 -15t+60  Then velocity v(t) = s'(t) =3t2-12t-15 =3(t2 -4t-5)  =3(t+1) (t-5)  If…

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Q: Simplify the expression. Write your answer with positive exponents. Assume that all variables…

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Q: The Intermediate Value Theorem can be used to approximate a root. The following is an example of…

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Q: Use the definition of the matrix exponential, given below, to compute eAt. For any n × n matrix A.…

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