(a) Kim stands at the top of a 285 metre tall skyscraper. From where they are standing, the angle of depression to their favourite restaurant is 9°. Further away in the same direction is their home, which is 4.086 km away from the point where Kim is standing. Draw a diagram representing this information and hence find the distance between Kim's home and favourite restaurant. (b) The formula for the average value of a function F over the interval a <¤< b is i) Find the average value of the function f(x) = -6x² + 16x + 28 on the interval 0 < a 0. Hint. Your answer will be a function of t.
(a) Kim stands at the top of a 285 metre tall skyscraper. From where they are standing, the angle of depression to their favourite restaurant is 9°. Further away in the same direction is their home, which is 4.086 km away from the point where Kim is standing. Draw a diagram representing this information and hence find the distance between Kim's home and favourite restaurant. (b) The formula for the average value of a function F over the interval a <¤< b is i) Find the average value of the function f(x) = -6x² + 16x + 28 on the interval 0 < a 0. Hint. Your answer will be a function of t.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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can you do this with pen and paper so i can see working? thnx
Transcribed Image Text:(a) Kim stands at the top of a 285 metre tall skyscraper. From where they are
standing, the angle of depression to their favourite restaurant is 9°. Further
away in the same direction is their home, which is 4.086 km away from the
point where Kim is standing. Draw a diagram representing this information
and hence find the distance between Kim's home and favourite restaurant.
(b) The formula for the average value of a function F over the interval a < I< b is
1
f(x)dr.
- a
a
i) Find the average value of the function f(x) = -6x² + 16x + 28 on the
interval 0 <r < t, where t > 0.
Hint. Your answer will be a function of t.
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