A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the...
A police car is located 30 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the...
A circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute. When...
I'm uncertain about how to find the derivative of A=620(1.628)^t. I'm quite certain that it has something to do with making (1.628)^t into (1.628)^t * ln(t) but I'm unsure if I have...
Calculus I Practice Problems and Curriculum http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
Find the point on the line 5x+3y+1=0 which is closest to the point (–1,3). x= ? y=?
Show that there are two tangent lines to the parabola y=x2 that pass through the point P(0,-4). Find the coordinates of the points were this tangent lines intersect the parabola. Source:...
Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval...
Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the...
The acceleration due to gravity, g; is given by g = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth, and G is the universal gravitational...
The de?finitions of derivative of two functions f and g are given by: f' (x) = lim f(x + Δx) - f (x) / Δx , g'(x) = lim g(x + Δx) - g(x) / Δx ...
When you have to take the derivative of 2 variables being multiplied, we use the product rule. If we have f(x)g(x), the derivative will be: (f(x)g(x))' = f(x)g'(x) + g(x)f'(x). Now, the primes can be a little confusing when you are learning how to apply this for the first time, so lets denote the number 1 to f(x) and the number 2 to g(x), where 1 refers... read more
a rumour spreads in such a way that t hours after the rumour starts, the percent of people involved in passing it on is given by P(t)=100(e-t- e-4t). what is the highest percentage of people involved...
Determine the points on the interval [0, 2π] where f(x)= esinx+cosx
Determine the coordinates of all points at which the tangent to the curve defined by y=x2e-x is horizontal
determine the derivative of the following: g(t)= e2t / 1+e2t
Find the derivative of the following functions: d^2 / dx2 (x sin x)
Use linear approximation and differential toto approximate : 14^(1/4)
Use linear approximation and differential to approximate: sin 31`
(a) Find the average velocity of the particle over the interval [1; 3] seconds. (b) Find the instantaneous velocity of the particle at t = 1 second.
A spherical ballon is inflated so that its volume is increasing at the rate of 20 cubic feet per minute. How fast is the surface area of the ballon increasing when the radius is 4 feet?...