2. Suppose that f(x) is a function with f(20) = 345 and f'(20)=6. Estimate f(22). [4 marks]

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(z) = F(x)G(x)…

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Q: Suppose that f(25) = 10 and ƒ'(25) = −2. Estimate each of the following. 1. f(27) = 2. f(23.5) =

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Q: The function f(x) = is decreasing for x > 0. Which of the following lines is tangent %3D to the…

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Q: LA3] Given the function f(x) = 2x5 – 5x*, use the second derivative test with an interval table to…

A: Check sign of second derivative for concave up or down.

Q: The accounting team at a manufacturing business developed a model for the company's profit over its…

A: The accounting team at a manufacturing business developed a model for the company's profit over its…

Q: Consider the function f(x) = 3x² + 30x + 83 Determine an expression for the derivative of f(x).

A: f(x)=3x2+30x+83

Q: 34. The rate, in pounds per day, at which the number of pounds of garbage is removed from the ocean…

A: Since the model expresses the number of pounds removed per day from the ocean.

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: 4. Given to the right is the graph of the derivative of a function,f x ( ). Iff (0) 9 , what is…

A: The objective of this question is to find the value of the function f at x=2, given the graph of its…

Q: Q1. Derive the following formula for approximating the derivative f' and show that it is O(h) by…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The formula and O(h4)…

Q: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

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Q: se the graph of the function below to establish the sign of its second derivative

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Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: 29. Table 2.7 shows the area, A, covered by Arctic sea ice in millions of square kilometers between…

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Q: 2. If If ƒ(x) = , find ƒ '(0). et

A: 2) The fx isfx=xex

Q: For a minimum wage job, the total pay ($) received for x hours worked is given by P(x) = 15.74x, for…

A: Total pay ($) received for x hours worked is, P(x)=15.74x, For 0≤x≤80

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x) = F(x)G(x)…

A: Graph of the functions Fx and Gx are given and Px=FxGx and Qx=FxGx. We have to find the values of…

Q: The graph of f(x) is shown below. Which would be an estimate for f'(4) a. -10 b. 10 C. 20 d. 20 f(x)…

A: f(x) is decreasing function at x=4.