You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of Avalon pays 0.8% with no annual fee. Cypress Savings pays 1.5%, but charges a $10 annual fee. Which is the better offer? Show your work and then write a one- or two-sentence conclusion. .

Q: 5. lim -00 2-1 5

A: limx→-∞x2-x45

Q: Determine the possible pairs of values (a, b) which make the function below continuous everywhere.…

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Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: 1. f(x) = sx (x+1 if x ≤ 0 if x > 0

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Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: 2. Make up a differential equation of the form dy dt that has the function y(t) = e²t = 2yt+g(y) as…

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Q: wn is bounded by the line y = − 5x + 4, - -axis and the y-axis. y X

A: we will find the area.

Q: 1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If 2x ≤ g(x) ≤ x^4 - x^2 + 2 for all x, evaluate lim x → 1 g(x) using the squeeze theorem

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Q: dy Write down a differential equation of the form dt 7 solutions all approach y = 6 = as t→∞. = ay +…

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Q: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

A: The objective of the question is determine the limit of the given function and choose the correct…

Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

A: I am attaching image so that you understand each and every step.

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: 5. K A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements…

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Q: 3 fcsc13 |csc13 x cot® xdæ

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Q: s and determine the domain and range: #3 3 x + 2, g(x)=√16-x², Domain: Range: 4-x, x = -4

A: We have to draw the graph and determine domain and range of the given function

Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: 16. f(x)=-3x¹(x+4) a. b. C. d. 0. lim x--1 f(x)= lim 11-1 /(1) lim lim lim 1172 f(x) =

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Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

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Q: Calculate, to four decimal places, the first ten terms of the sequence. 3n 1 + 4n an =

A: Given, an=3n1+4n

Q: 2. f(t) = √t+ ³√√t

A:

Q: #8) x=y²-8 No need to integrate any of the setup below. a) Only give the setup with respect to "dx"…

A: Here we have to find the area of shaded region..

Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: If the general solution of (2x² − 3y²) y'= 2xyisy “¹n|yº| +xª=Cy", what is the value of b? (A) -1 B)…

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Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11.…

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Q: 1. Prove if the given DE is exact or non-exact and find its general solution. (2xy - 3y)dx + (x² –…

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Q: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: 7. Write the equation of the graph below.

A: Here we have to determine the equation of the given graph below.

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: The family of circles with center on the line y = 3. A B Ⓒ D 1+ (y − 3) y ''+ (y') ²=0 1+ (y - 3)…

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Q: You borrowed money and need to pay interest on the loan. You must pay 5% of the $6700 loan to remain…

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Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: Suppose f and g are continuous functions such that g(4) = 2 and lim [3f(x) + f(x)g(x)] = 10. Find…

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Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: 4. The graph of y = −2√x + 4 is translated 3 units to the left. State the defining equation of the…

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Q: Function 2 x + 2 Discuss the continuity of the function on the closed interval. (Enter your answer…

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Q: 30. dy dt t y-12y y(0) = 4

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Q: ketch the points p/2, 3, 34,4/2,3,1-3 and R (-2,3, 2)

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Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: The rate of change of the variable y with respect to x is equal to the expression 5x*-3e***. What is…

A: rate of change of variable y with respect to x is =dydx

Q: 1. Determine the domain and range of the following functions: (Note that each square is 1 square…

A: To find the domain and range of the functions in the given graphs.

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…