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1. A rock is thrown upward from the edge of a cliff. The rock follows the equation below.
s = [b] x [d] + 64t - 15t2
b=5 d=4
What is the greatest height above the ground that this rock will go?
2. You are designing a rectangular enclosure with [a] rectangular interior sections separated by parallel walls. If you have 300*[c] feet of fencing, what is the maximum area that can be enclosed?
a=2 c=6
Suppose that population (measure in millions) is modeled by the linear function pl(t) = a + bt. Find the least-squares estimates for the parameters a and b.
a rectangular playground is to be fenced and divided into two by another fence parrallel to one side of the play ground. 216 feet of fencing is used.find the dimensions of the playground that maximixe the total enclosed area.
Find a formula for the volume of the box in terms of x. Find the value for x that will maximize the volume of the box.
For what values of a does the following series converge?
Calculate the mean, median, and standard deviation for ounces in the bottles. Construct a 95% Confidence Interval for the ounces in the bottles. Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is ..
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
A boat can travel 54 mph in still water. if it travels 236 miles with the current in the same length of time it travels 196 miles against the current what is the speed of the current?
A right triangle is a triangle with one angle measuring 90? In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90?angle).
Derive polar parametric equations for the following: A circle with radius d and A spiral with equation at(cos(ωt),sin(ωt)).
MATH 54 QUIZ 4. Find a basis for Col(A) and a basis for Nul(A)
In photography fixed focal length means that the focal length is not adjustable. Photographers are unable to zoom in and out on a particular subject when using such a lens. Not being able to easily zoom in on a subject might seem like a huge disad..
Calculating the first derivative and critical point.
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