In the summer of 1999, construction will begin on a 3000 ft. tunnel that will pass under the Mississippi River, connecting the cities of East St. Louis, Illinois and St. Louis, Missouri. A Missouri-based company has been contracted to begin excavating the tunnel from the Missouri side, while an Illinois-based company will begin
ASW Publishing Inc., a small publisher of textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected three year sales expected from each book: Book Subject Type of Book Projected Sales (1000's) Business Calculus Ne
A mothball loses mass by evaporation at a rate proportional to its instantaneous surface area. If half the mass is lost in 100 days, how long will it be before the radius has decreased to one-half its initial value? How long before the mothball disappears completely?
A fluid has a density 1500 and velocity field of: v = -yi + xj + 2z k. Find the rate of flow outward through the sphere x^2 + y^2 + z^2 = 25.
Find the length of y=cosh x for -1 ¡Ü x ¡Ü 2.
All z solutions to z^3=9-13i
30) If f(x) = ln(sin(x^2)), then f''(x)=? Explain. 31) The college is making parking lot, rectangular and enclose 6000 sq meters. A fence will surround the lot and on parallel to one of the sides will divide the lot into two sections. What are the dimensions in meters of the rectangle lot using the least amount of fen
12) What is limit as h approaches 0 of [cos(pi/2 + h) - cos(pi/2)] / [h] Ans is -1. Explain. 14) The area of the region in the first quadrant between the graph of y=x times the sqrt of (4-x^2) and the x axis is? Ans is 8/3. Explain. 15) If x^2 + y^3 = x^3y^2, then dy/dx = ? Explain. Ans is [3x^2y^2 - 2x]
I would like some help seting up this problem. I am doing some extra learning and the problem is a bit confusing The angle is 22 degrees and the book gives the answer as .50636 Thank You
In the attached figure they are looking for the values of X and Y I have been able to solve for the value of X as shown in the right triangle drawn but have been having trouble solving the value of Y. See the attached file.
Please see the attached file for the fully formatted problems. MAX FLOW A company is constructing guttering to carry water. The cross section of the guttering is below: Each side is the same length and the angle between each side and the hosizontal are equal. That is, the cross section is symmetrical about the vertical
To determine the distance RS across a deep canyon. Joanna lays off a distance TR=582 yards. She then finds that T=32degrees50' and R=102degrees20' findRS? please show me the steps Thank U
Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
What is calculus and how does it work? Are there different types of calculus and how do they differ?
Please see the attached file for the fully formatted problems. 1. Use an iterated integral to find the area of a region... 2. Evaluate the double integral... 3. Use double integral to find the volume of a solid... 4. Verify moments of inertia... 5. Limit of double integral... 6. Surface area... 7. Triple integral...
Please see the attached file for the fully formatted problems. Problems involve: parametric equation of line segment, volume of a parallelipiped, sketching a plane given the equation, finding rectangular equations, center and radius of a sphere using the equation of a sphere, force vector problems.
Given the polynomial obtain the roots of it.
#1 Write an equation of the line tangent to the curve y=f(x) at the given point P on the curve. Express the answer in the form ax+by=c. 1)y=3x^2-4; P(1,-1) 2)y=2x-1/x; P(0.5,-1) #2 Give the position function x=f(t) of a particle moving in a horizontal straight line. Find its location x when its velocity v is zero. 1)x=-1
A waffle cone has a height of 6in with a radius at the top being 1 inch. A spherical scoop of ice cream is placed on top of the cone and melts into the cone. At a particular instant of time, the radius of the ice cream is 3/2 inch and is decreasing by 1/100 in/min. At this same time, the height of the melted ice cream in the