Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Analyze and apply statisticsFind the derivative of the following: a. y = 2x³ - 3x² + 6x – 5 b. y = 3 - x² / x + 1 c. y = (1 + x²) (3 – 2x)
determine a function by being given the function’s first derivative and an initial condition for the function. Discuss how you would determine an original function if you were given the second derivative of the function as well initial conditions on the first derivative and original function.
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- solvearrow_forwardThe pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel. 2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas. 3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value. 4. Write a…arrow_forwardSketch the graph of the function ? = x3-6x2+12. Using the ff. First derivatives (critical points) and second derivatives (point of inflection and concavity). X and Y intercept also.arrow_forward
- Write an equation (second degree) satisfied by two functions f and g having the same derivative. Explain graphically the importance of the third termsarrow_forwardWrite up a solution to the exercise your mathematical reasoning and ideas as simply and directly as possible, assuming th solution on paper, then take a picture and embed an image of it in the discussion e.If tutorialspoint's LaTeX equation editor e EXERCISE Let f(x) = -2x - 9z2 +24x + 36. A. Find the intervals on which f is increasing or decreasing. Use the First Derivative Test to locate all local extrema for f. C. Use the Second Derivative Test to locate all local extrema for f. В. D. Find the intervals on which f is concave upward or downward. E. List all inflection points for f. yerro LEGIONarrow_forwardwhy setting the derivative of a function equal to zero allows us to find the maximum or minimum values of the function. Give an example of how this could be useful in biology.arrow_forward
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