Find the present value of a $45, 000 annual income stream if it is invested immediately as it is received into an account paying 9% interest compounded continuously for 10 years. Round your answer to the nearest cent.

Q: Determine a²z a²z + Ər² მ02 if_z = tan -1 Ө r + r r²+0²

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Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

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A: Rate

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Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

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Q: Question 7  A business spends $80,000 on Marketing, $100,000 on R&D,  and $ 12,000 on Expenses.…

A: We have to find the ratio between spending.

Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

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Q: Calculate the line integral of F(x, y) = -4i + 5j along the line segment from (-3,-4) to (-5,0).…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

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Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: Use a parametri. tion to express the area of tne surface as a double Integrai. Then The portion of…

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Q: Determine if the following series converges. If the series converges, determine if it converges…

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Q: 5. By the Fundamental Theorem of Calculus (Newton-Leibnitz Theorem) √² + x² d VX evaluate

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Q: Use an appropriate linear approximation to estimate cos(60.5" (Round your answer to three decimal…

A: To use the linear approximation to estimate cos(60.5°)

Q: 11. y = 2 sin(0) + 2 Amplitude: Period: Phase Shift: Midline: 2n 3x H 4 ST

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Q: Question If a brick is dropped from a height of 40 ft., its position after t seconds is given by the…

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Q: 5. Evaluate sin y - dy dx y

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Q: the

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Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

A: Solved below

Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

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Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

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Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: Which of the following is a polynomial function?

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Q: It is known that the area of a polygon with vertices (x₁, ₁), (x2, 12). (x, yn) is equal where we…

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Q: Question Find the differential dy of the function y = -2 cos (6x). Provide your answer below: dy=dx…

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Q: A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The…

A: Given problem:- A company plans to manufacture rectangular boxes with no top that have volume 12…

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: Determine the constant of proportionality, k, given y directly proportional to x and y= 400 when…

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Q: Show the repeating decimal .2727272727 repeating.... as an infinite geometric series. Give sum of…

A: This question can be solved using the concept of infinite geometric series.

Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers…

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Q: rite down the ma TIX represe the linear that projects every vector in R³ orthogonally onto the…

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Q: y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers…

A: Solve it

Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: Find the derivative of the vector function r(t) = (tsin t, t^2 , t cost)

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Q: e. x3 √1+x4 f. fx sin x² dx S dx

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Q: Find the orthogonal trajectories of the family of curves x² - y² = (² A x² + y²=C² B) xy=C (C) x-y=C…

A: We can solve as follows

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

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Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: 2. Use the graph below of y = f(x) to answer the following question. point 8 4. point 1 point 2 3 2.…

A: To answer the given function using the given graph.

Q: 1 x + ex 2 g dx

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Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: Solve the given initial-value problem. y'' + 4y' + 5y = 35e−4x,  y(0) = −2,  y'(0) = 1 y(x)=

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

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