Liz Energy drink is to be sold in 472 mL cylindrical cans. Since it is a new product the package designers want the cans to be more visible when displayed with competing products so they want the...
Liz Energy drink is to be sold in 472 mL cylindrical cans. Since it is a new product the package designers want the cans to be more visible when displayed with competing products so they want the...
The Eco-venture charter company offers local environmental excursions. The fare is $45 per person if up to 30 passengers sign up for the trip. (Note: The company does not offer the trip if fewer than...
An open-top box is to be constructed so that its base is twice as long as it is wide. Its volume is to be 2300 cm^3. FInd the dimensions that will minimize the amount of cardboard required. Make: Length...
A ramp is inclined at 12 degrees to the horizontal. A cart is pulled 8m up the ramp by a force of 120N, at an angle of 10 degrees to the surface of the ramp. Determine the mechanical work done against...
Determine the angle between vector PQ and the positive x-axis, given endpoints P(4,7) and Q (8,3)
Determine the interior angles of triangle ABC for A(5,1), B(4, -7), and C (-1,-8)
A force, F of 25 N is acting in the direction of a = (6,1). a) Find a unit vector in the direction of a. b) Find the Cartesian vector representing the force, f, using your...
So, our class did a DNA extraction of a wheat germ. From this lab I learned that putting warm water in to the wheat germ allows the fats in the membrane that surround the cells and the nucleus,...
In a soccer match, the goal keeper stands on the midpoint of her goal line. she kicks the ball 25m at an angle of 35deg to the goal line. her teammate takes the pass and kicks it 40m farther, parallel...
After Lee gives his little sister Kara a big push on a swing, her horizontal position as a function of time is given by the equation x(t) = 3cost(e^-0.05t), where x(t) is her horizontaL displacement,...
how do you find the second derivative of y=e-x^2
Identify the coordinates of any local extrema of the function y= ex-e2x
A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2...
1. Find the slope of the function y=2cosxsin2x at x=π/2 2. Find the equation of the line that is tangent to y=x2sin(2x) at x=-π 3. Determine the second derivative for...
Find the point on the graph of y=x2 +1 that is closest to the point (8, 3/2).
Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices...
6 segments of a window frame are to be constructed from a piece of window framing material 6 m in length. A carpenter wants to build a frame for a rural gothic style window, where the triangle ABC...
A piece of wire 200 cm is cut into two pieces: one a square and another a circle. Where should the cut be made if the sum of the two areas (square and circle) is to be a minimum.
There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produces drop by...
A rectangular piece of paper with perimeter 100 cm is to be rolled to forma cylindrical tube. Find the dimensions of the paper that will produce a tube with maximum volume.