The distance d x (in feet) between an observer 30 ft from a straight highway and a police car traveling down the highway is given by d x = 30 sec x , where x is the angle (in degrees) between the observer and the police car. a. Use a calculator to evaluate d x for the given values of x . Round to the nearest foot. b. Try experimenting with values of x closer to 90 ∘ . What happens as x → 90 ∘ ?
The distance d x (in feet) between an observer 30 ft from a straight highway and a police car traveling down the highway is given by d x = 30 sec x , where x is the angle (in degrees) between the observer and the police car. a. Use a calculator to evaluate d x for the given values of x . Round to the nearest foot. b. Try experimenting with values of x closer to 90 ∘ . What happens as x → 90 ∘ ?
Solution Summary: The author calculates the distance d(x) between an observer 30 and a police car travelling down the highway using the trigonometric formula.
The distance
d
x
(in feet) between an observer
30
ft from a straight highway and a police car traveling down the highway is given by
d
x
=
30
sec
x
, where
x
is the angle (in degrees) between the observer and the police car.
a. Use a calculator to evaluate
d
x
for the given values of
x
. Round to the nearest foot.
b. Try experimenting with values of
x
closer to
90
∘
. What happens as
x
→
90
∘
?
PLEASE SHOW ME THE RIGHT ANSWER/SOLUTION
SHOW ME ALL THE NEDDED STEP
13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
DO NOT GIVE THE WRONG ANSWER
SHOW ME ALL THE NEEDED STEPS
11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
please answer by showing all the dfalowing necessary step
DO NOT GIVE ME THE WRONG ANSWER
The sides of a cube of ice are melting at a rate of 1 inch per hour. When its volume is 64 cubic inches, at what rate is its volume changing?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY