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Find the shortest distance between line L1 : x=1+2t, y=3-4t, z=2+t and L2 : the intersection of the planes x+y+z=1 and 2x+y-3z=10
Find the volume of the solid whose base is bounded by the circle x^2+y^2=4, with the indicated cross sections taken perpendicular to the x-axis.
Mickey Lawson is considering investing some money that he inherited. The following payoff table gives the profits that would be realized during the next year for each of three investment alternatives Mickey is considering:
after how many seconds will it hit the ground?
The sequence an is defined as follows: a0 = 9, an+1 = 3(an)^4 +4(an)^3 for n > 0. Show that a10 contains more than 1000 nines in decimal notation.
A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/6 rad/min. How fast is the plane traveling at that time? (Ro..
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
find the area of the surface of the cylinder z^2 +y^2=9 lying in the first octant between planes y=x^2 and y=3x
A group of products within a product class that are closely related because they perform a similar function, are sold to the same customer groups, are marketed through the same outlets or channels, or fall within given price ranges is known as a ..
Pete walks at the rate 5 ft/sec toward a street light whose lamp is 20 ft above the base of the light. If Pete is 6 ft tall, determine the rate of change of the length of Pete's shadow at the moment he is 24 ft from the base of the lamppost.
find the exact solutions of the equation in the interval [0, 2π).
how much rent should be charged to maximize revenue?
Water flows in a 400mm diameter drain to a depth of 150mm. Calculate the wetted perimeter of the drain and the cross sectional area of the water
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