.If you deposit 6000RS into an account paying 6.5% annual interest compounded quarterly,  how long until there is 12600RS in the account

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Q: Question 1 Consider the following LP formulation and determine the optimal solution. MIN: 22x + 16y…

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Q: 3. Find the subtangents and subnormals in the parabolas, y²=4 ax, and = 4 ay. Ans. Subtangents, 2 z,…

A: Given: A parabolas y2=4ax , x2=4ay. To Find : Subtangent and subnormals in the parabolas:

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Q: A car rental service in a certain town has a fleet of about 500 cars, at three locations. car rented…

A: Given, A car rental service in a certain town has a fleet of about 500​ cars, at three locations. A…

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A: a. The standard equation of a ellipse is (x+x0)2a2+(y+y0)2b2=1.So (x+5)225+(y-2)24=1  is equation of…

Q: •T- 0 Let b = 1 and let A be the matrix 1 -4 4 -4 0 1-3 4 . Is b in the range of the linear…

A: Solution is given below:-

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Q: 1. Show that if (a, b) is a cointegrating vector for the I(1) variables Y, and X,, then a(a,b) is…

A: We need to show that if a, b is a cointegrating vector for the I1 variables Yt and Xt, then αa, b is…

Q: 4 Let S= {(x,y) ER²: -2<x<+₁ -1 < g<3}. Determine if S is an set open

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Q: a. Find the points on the circle x\power{2}+y\power{2}-2x+4y-20=0 which are farthest and nearest to…

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Q: Find the equation of normal to the hyperbola        x2 -9y2=7 At the point (4,1).

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Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y² = z²,…

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Q: y Let S= {(x,y) ER²: -2<x<+₁ -1 <g<3}. Determine if S is an open set

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Q: 8-4 7 -6 5-1 Select the correct choice below and, if necessary, fill in the answer box(es) to…

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Q: ²1² wo distinct chords of the hyperbola 2a² 26² hrough (a, b) are bisected by the line x + y = b. L…

A: Let the line x+y=b bisects the chord at point P(α, b-α).Therefore , the equation of the chord whose…

Q: Alt X 6. Find the distance of the point P = (2,3,-1) to the plane 2x - 3y + z = 1.

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Q: Determine the limit of the sequence or state that the sequence diverges. an n n³ + 13 (Use symbolic…

A: Here,  we have to find limit of the given sequence.

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Q: 4- Solve the following problem by the two-phase simplex method: Min x₁ + 3x2 - x3 s.t 2x₁ + x₂ + x3…

A: Given Linear Programming problem is: Min Z=x1+3x2-x3s.t.2x1+x2+x3≥3-x1+5x2+x3≤4-x1+x2≥2x1, x2, x3≥0…

Q: 3. Use the method of separation of variables to find the periodic solution of the initial value…

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Q: find a formula for the linear function described below. the total cost C of an international call…

A: Given Data: Let us consider the given additional charge for an international calls be  =0.49$minute.…

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A: Given: The following pair: a) sinax , cosax a≠0   b) x , x c) xm ,xn m≠n To Find: Which of the…

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Q: For f(x, t) = xe-it a. Is f(x, t) a state function in x and t? If possible, what is the total…

A: a. To determine whether f(x, t) is a state function, we need to check whether its value depends only…

Q: Problem 3. Find local extrema of f: f(x) = atg f(x) = 3x4 - 4mx³ + m²x², depending on parameter m.…

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Q: Let f: R²R have the form f(x, y) = g(x), that is, f does not depend on y. If g, a function of one…

A: We know that a function f:ℝ2→ℝ is differentiable at a point x0,y0 if f has best affine approximation…

Q: 4 9 9 16 16 25 36 36 49 16 25 |X₂| X3 4 9 16 25 30 54 86 126

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 8 Σ (−1)n…

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Q: Draw a Mikhailov's plot of the following G(s) and examine the stability. 1 s³ +0.2s² + s +1 G(s): =

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A: (a) Any line through (0,0) is y-mx=0. It is a tangent to the circle (x-7)2+(y+1)2=25…

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Q: B AUBNC: Au BNC: 12 6 6 17 13 U How many elements are contained in each of the following sets?

A: From the above venn-diagram, we have  U={6,10,11,12,13,17}. A={6,10,12,17}. B={6,12,17}.…

Q: Find the area of the surface generated by revolving the curve y = - X 9 -2≤x≤0, about the x-axis.

A: Given curve is y=-x3/9  and Interval=[-2,0] We have to find surface area of given curve. Let S be…

Q: Suppose that the position of a particle is given by s(t) = 2t² + 3t+ 9. (a) Use the limit definition…

A: Given , Position of a particle is given by ,               s(t) = 2t2+3t+9 Then the velocity v(t)…

Q: Average weight of infants (in pounds) 22.5 20 10 7.5 7.5 2 4 6 8 10 12 14 16 18 20 22 24 Months By…

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Q: The general solution of this ODE: d²y dt² dy dt is: y(t) +14- = +85y = e⁹t

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Q: The plane region is revolved completely about the given line to sweep out a solid of revolution.…

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Q: A gold mine is expected to yield an annual income of $90000 for the next 24 years, after which it…

A: To determine the value of the mine, it is required to find the present value of the expected income…

Q: Problem 1. Use a table of values to estimate the value of the limit tanx-t x3 limx-0

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Q: The dependent variable y is missing in the given differential equation. Proceed as in Example 1 and…

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Q: (1) Which of the following series converges? Prove your answer. 00 1 (2) Σ νη3 + 3η2 (b) Σ (c) (d)…

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Q: - = 5; (b) R is the region bounded by the curve y x²/³ + 1, the y-axis, and the line y = about the…

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Q: Find the Taylor series generated by fat x = a. 9 f(x) = a = 1 2 X Choose the correct answer for the…

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Q: 6. Let Is g g(x)= Ees sin²x 307₁ O continous at x = 0? for xo for x=0 5x55-1931

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Q: Solve the inequality. Write the solution set in interval notation. 2y-(-5+y)(-) (8) {) (0 B) -…

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Q: Given any set A and given any functions f : A → A, g : A → A, and h : A → A, if h is onto and f o h…

A: Given any set A and given any functions f:A→A, g:A→A, and h:A→A, if h is onto and f∘h=g∘h, then f=g.…