The graph generated is a polynomial (i.e. the quadratic equation: ax2+bx+c=0) graph that follows the form:
The dependent (y) variable in your graph equation is the displacement (Δd) and the independent (x) variable is the time interval (Δt). Based on this information, what would be the:
- A) initial velocity of the cart when the software started recording data?
- B) acceleration of the cart?;
- C) displacement of the cart when the software started recording data?
Solve the problem. Check answers to be sure they are reasonable.
The dimensions of a rectangular monitor screen are such that its length is 6 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 345 . What are the length and width of the screen?
The length of the monitor sceen is ___ and the width is ____
An arrow is fired with initial velocity v0 at an angle θ from the top of battlements, a height h above the ground. (a) In terms of h, v0, θ, and g, what is the time at which the arrow reaches its maximum height? (b) In terms of h, v0, θ, and g, what is the maximum height above the ground reached by the arrow?
|Time t(seconds)||Height H (t) (meters)|
Let f(x, y) = x 2 – y 2 .
(i) Find the level curve of f passing through the point (5, 3).
(ii) Find the gradient of f at that point.
(iii) Make a sketch of both the level curve and the gradient vector.
(iv) Determine the equations of the normal line and the tangent line to the curve
f(x, y) = x 2 – y 2 at the point (5, 3).