a. a) Use REGRESSION to find a quartic function y = a x 4 + b x 3 + c x 2 + d x + e that fits the data. b. b) Graph the function over the interval [ 0 , 500 ] c. c) Does the function closely model the given data? d. d) Predict the horizontal distance from home plate at which the ball would have hit the ground had it not hit the billboard. e. e) Find the rate of change of the ball’s height with respect to its horizontal distance from home plate. f. f) Find the point(s) at which the graph has a horizontal tangent line. Explain the significance of the point(s).
a. a) Use REGRESSION to find a quartic function y = a x 4 + b x 3 + c x 2 + d x + e that fits the data. b. b) Graph the function over the interval [ 0 , 500 ] c. c) Does the function closely model the given data? d. d) Predict the horizontal distance from home plate at which the ball would have hit the ground had it not hit the billboard. e. e) Find the rate of change of the ball’s height with respect to its horizontal distance from home plate. f. f) Find the point(s) at which the graph has a horizontal tangent line. Explain the significance of the point(s).
Solution Summary: The author calculates the value of undersetx to 6mathrmlimf(x) if the limit exists.
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
Chapter 1 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY