The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10 : 15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10 : 25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10 : 15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10 : 25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
The two locations of the aircraft in polar coordinates by using the radar station as the pole and due east as the polar axis, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
(b)
To determine
The two locations of the aircraft in rectangular coordinates. Round the answer to two decimal places, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
(c)
To determine
To calculate: The speed of the aircraft in miles per hour. Round the answer to one decimal place, where at 10:15 A.M., a radar station detects an aircraft at a point 80 miles away and 25 degrees north of due east. And at 10:25 A.M., the aircraft is 110 miles away and 5 degrees south of due east.
Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
(a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
(b) Use your answer from part (a) to find the number of cells present after 8 days.
(a) Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function.
R'(x) = 4x (x² +26,000)
2
3
(a) Find the total revenue function if the revenue from 125 devices is $17,939.
(b) How many devices must be sold for a revenue of at least $50,000?
(a) The total revenue function is R(x) =
(Round to the nearest integer as needed.)
given that the revenue from 125 devices is $17,939.
Use substitution to find the indefinite integral.
S
2u
√u-4
-du
Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice.
A. Substitute u for the quantity in the numerator. Let v =
, so that dv = ( ) du.
B. Substitute u for the quantity under the root. Let v = u-4, so that dv = (1) du.
C. Substitute u for the quantity in the denominator. Let v =
Use the substitution to evaluate the integral.
so that dv=
'
(
du.
2u
-du=
√√u-4