Find the value of an investment of $25,000 for 13 years at an annual interest rate of 3.15% compounded continuously. C... The value of the investment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

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Q: (A) Graph y = 1.2x-2.7 in a rectangular coordinate system. (B) Find the x- and y-intercepts…

A: Here we have to plot the graph.

Q: Evaluate f 4r-1 3 (2r+1)² dr

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: An object moves along a horizontal path with a velocity v(t) = 2t² - 8t, where v(t) is measured in…

A: Given problem:- An object moves along a horizontal path with a velocity v(t) = 2t2 - 8t where v(t)…

Q: 1064 التاريخ معنات 1105 نا بسبب 1085 The radius of Convergence is R- 4 H-W n Σbal) (2x-3)^2 (-1)…

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Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: Find an explicit solution of the given initial-value problem. √1-y² dx - √1-x² dy = 0, y(0) = 113 2…

A: Here in this question, we have to find out the solution to the given differential equation.

Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y

Q: DE = ST D Given: Find: B wher ~ADBE. AC = 16, CB = 10 E is the midpoint of CB DE (Hint: Let DE = x,…

A: If △ABC~△DBE then ABDB=BCBE=ACDE E is the midpoint of CB CE=EB CB=BE+CE=BE+BE=2BEBE=CB2BE=102=5

Q: Direction: Understand the situation and answer the questions that follows. Show your detailed…

A: Probability.

Q: What is the displacement of an object on the interval 0 ≤ t ≤ 9 if its velocity is V (t) = 6 -√√3t?…

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Q: f(x) = (x²-4) (x²-1) lect the correct choice below and fill in any answer boxes to complete your…

A: SOLUTION-

Q: Find the first four nonzero terms of the Maclaurin expansion of the given function by using the…

A: Given problem:- Find the first four nonzero terms of the Maclaurin expansion of the given function…

Q: Consider a function f(x,y) that allows second partial derivatives, the derivatives for that function…

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Q: - 3x² + if x 1 a. Determine the value of a for which g is continuous from the left at 1. b.…

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Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: What is the cartesian form of the complex number: (-1-i√3)4

A: The given complex number: -1-i34.

Q: Sketch the graph of a function f that is continuous except for the stated values(s). Discontinuous,…

A: The function is discontinuous at x=3 and right continuous at x=3

Q: f(x) x→0 x² (a) lim f(x) X-0 (b) lim If lim = 1, find each of the following limits. f(x) X→0 X I X X

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: P7 Answer 1 2 3

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Q: 1 Consider the sequence an = 2- n ≥ 1. 1 n²+ n4+: 4 Show that √a₁ + √₂ ++√√a119 is an integer.

A: Details solution explain with  calculation

Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: 10- Prove that a.b= la+bl²-la-bl²/4

A: solution:-a.b=a+b2-a-b24R.H.S=a+b2-a-b24=a2+b2+2a.b-a2+b2-2a.b4=a2+b2+2a.b-a2-b2+2a.b4=4a.b4=a.b=L.H…

Q: 1. Review the basic concepts of Derivative of a function. 2. Determine the derivative of each…

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Q: e three terms of the expansion for √1+x to calculate the value of 1.4996. ... 1.4996= Do not round…

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Q: ermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ (1-x)³ (1 + x)4…

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Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: Answer: 17.653 # Find the area enclosed by the graph of y = 10 1+x² 1 and the line y = 1.

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Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

Q: 2. Stan.xdx

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Q: find all fixed points and classify them where f(x) = ex+c and c ER

A: We have to find fixed point and classify.

Q: Ten international students who include four males and six females are friends. Each of the four male…

A: Number of ways of choosing r elements from n element is Crn

Q: Find the volume of the solid generated when the region enclosed by y = -√√x + 1, y = 0, and x = = 2…

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Q: fferential Eugh by finding tor. (6n +only)dy=0)

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Q: Page < 4. The brightness of stars is expressed in terms of magnitudes on a numerical scale that…

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: d RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Determine…

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Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: 22-23. Which of the following is the area. enclosed by y=x²-4 and y = x -4? A) √²(x-x²) dx ²(x² -…

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Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

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Q: 8. Which of the following has a definite integration? A) f(x) dx [f(x) dx B) C) fdx D) [xndx 9. To…

A: This question is related to Integration, we will solve it using given information.

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A