1. (Difference Quotient) Simplify the difference quotient (x+h)-f(x) for each of the following functions. A. f(x) = 2x + 3 B. f(x) = 2x² - 5 C. f(x) = ax² + bx+c

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A: Given problem:- 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you…

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Q: 6. Evaluate: lim x² +16 X-4 X-4

A: NOTE: Refresh your page if you can't see any equations. . here we have a rational function  and x=4…

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Q: What about the graph, where to plot the both lines ???

A: As S denotes the number of bowls of salad and P denotes the number of pizza slices .Also given that…

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Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

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Q: -8; -11; -14; ... Determine T, the general term the number pattern.

A: Finding the general term of the sequence

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A: The function is fx = x2 The graph of the function is To evaluate: The graph of the function -5fx+4

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A: This question can be solved using the concept of compounding.

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A: See this solution in below.

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A: Let's find radius and center of circle.

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Q: (d) y' = x(1 + y²), y=tan(\x²)

A: Solution of the differential equation satisfy  the differential equation

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Q: 1.) Which of the following is not a solution to Show your solution. a.) y = xcos(x) + kx b.) y =…

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Q: 3. dy + dx x² (y² + 3) y (x³+1) = 0.

A: Here we have to solve the differential equation.

Q: Q1/A Find the equation of line perpendicular to x - 4y - 7 = 0 and passes through the point (3,-4).

A: Solution is given below:

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A: Given differential equation is secy dydx+sin(x-y)=sin(x+y)

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