Differentiation Questions and Answers

The traffic flow rate (cars per hour) across an intersection is r(t) 300 +900t 180t², where t is in
hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 8 am?
cars
Calculus
Differentiation Solutions
The traffic flow rate (cars per hour) across an intersection is r(t) 300 +900t 180t², where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 8 am? cars
Find the accumulated present value of an investment over a 7
Calculus
Differentiation Solutions
Find the accumulated present value of an investment over a 7 year period if there is a continuous money flow of $5,000 per year and the interest rate is 1.2% compounded continuously.
A cell culture contains 2 thousand cells, and is growing at
Calculus
Differentiation Solutions
A cell culture contains 2 thousand cells, and is growing at a rate of r(t) = 6e0.00t thousand cells per hour. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal
(1 point) Let F = xi + (x + y) j + (x − y + z) k. Let the
Calculus
Differentiation Solutions
(1 point) Let F = xi + (x + y) j + (x − y + z) k. Let the line / be (a) Find a point P = (xo, Yo, Zo) where F is parallel to 1. P = Find a point Q = (x₁, №₁, Z₁ ) at which I and I are perpendicular.
In Exercises 33-42, find the slope-intercept form of the
Calculus
Differentiation Solutions
In Exercises 33-42, find the slope-intercept form of the equation of the line that passes through the points. Use a graphing utility to graph the line. 33. (5, 1), (-5,5) 38. (1, 1), (6, −3)
Recently, the bowling scores of a certain bowler were
Calculus
Differentiation Solutions
Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standard deviation 19. a) Find the probability that a score is from 185 to 215. b) Find the probability
Use the Test for Independence to determine if events A and B
Calculus
Differentiation Solutions
Use the Test for Independence to determine if events A and B are independent. P(A)=0.3, P(B) = 0.4, P(An B) = 0.12 Select the correct choice below and fill in the answer box(es) to complete your
A radioactive substance decays so that after t years, the
Calculus
Differentiation Solutions
A radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t) = 100(1.3)¯t. a) What is the half-life for this substance? Round to 2
Recently, the bowling scores of a certain bowler were
Calculus
Differentiation Solutions
Recently, the bowling scores of a certain bowler were normally distributed with mean 202 and standard deviation 19. a) Find the probability that a score is from 185 to 210. b) Find the probability
. Walter drives 7 mph over the speed limit on a suburban
Calculus
Differentiation Solutions
. Walter drives 7 mph over the speed limit on a suburban street. In the time that Walter drives 4 miles, a car driving the posted speed limit could drive 3 1/3 miles. What is the speed limit and how
Find the first three non-zero terms of the Taylor series
Calculus
Differentiation Solutions
Find the first three non-zero terms of the Taylor series about 0 for the func-tion y(x)=√1+2x².sin(3x) by multiplying the Taylor series for √1+ 2x² and the Taylor series for sin (3x).
Find the center, foci, and vertices of the ellipse. Graph
Calculus
Differentiation Solutions
Find the center, foci, and vertices of the ellipse. Graph the equation. 4x²+36y²-24x+288y +468 = 0