Tangent and velocity
Not what you're looking for?
The parabola y = (x^2) + 3 has two tangents which pass through the point (0, -2). One is tangent to the to the parabola at (A, A^2 + 3) and the other at (-A, A^2 + 3). Find (the positive number) ?
If a ball is thrown vertically upward from the roof of 64ft foot building with a velocity of 96 ft/sec, its height after t seconds is s(t) = 64 + 96t - 16t^2. I found it's max height to be 208 ft. What is the velocity of the ball when it hits the ground (height0)?
Use the derivative to find this equation of the tangent line to the curve y = 4x + 3 * square root of x at the point (4, 22.000000). The equation of this tangent line can be written in the form y = mx + b?
Purchase this Solution
Solution Summary
The three problems in this solution cover the following: finding the point where a given tangent passes through a parabola, the velocity of a ball when it hits the ground, and the equation of a tangent line.
Solution Preview
(1)
Let the equation of the parabola be f(x) = x^2 + 3. The slope of the tangent at point (x1,y1) is f'(x1).
Therefore, the slope of the tangent at (A,A^2+3) = f'(A) = 2A ......1
Since the tangent passes through (0,-2) and (A,A^2+3), the slope can be calculated as = {A^2+3-(-2)}/{A-0} = {A^2+5}/A ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts