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Show transcribed image text The surface area of a right-circular cone of radius r and height h is S = pir root r^2 + h^2, and its volume is V = 1/3 pir^2h. (a) Determine h and r for the cone with given surface area S = 6 and maximal volume V. h= r= (b) What is the ratio h/r for a cone with given volume V=6 and minimal surface area S? h/r=
Find the slope of the tangent line to the curve
What is the maximum sum of the numbers of Saturdays and Sundays in a leap year? The sum of first n natural numbers with one number missed is 40. What is the number that was missed?
A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. What is the bearing of the plane?
Pack-Em-In has another development in the works. If it builds 50 houses in this development, it will be able to sell them at $250,000 each, but if it builds 110 houses, it will get only $190,000 each. Obtain a linear demand equation.
A study of 35 golfers showed that their averages score on a particular course was 92. The standard deviation of the sample is 5.
Let the domain of discourse be the set of people in our class. Define the following predicate:
At 6 AM a snowplow, traveling at a constant speed, begins to clear a highway leading out of town. At 8 AM an automobile begins traveling the highway at a speed of 30 mi/hr and reaches the plow 30 minutes later. Find the speed of the snowplow.
Let B={v1,...,vn} be a basis of a subspace V of Rnx1. Let x be the nonzero vector x=a1v1+...+anvn for scalars ai. Let C={x, v2,...,vn}.
Check to be sure that all deposits included in your record book are included and service charges are subtracted and make a list of outstanding checks, with the amounts for which they were written.
Jon had an unpaid balance of $2,320.00 on his credit card statement at the beginning of February. He made a payment of $160.00 during the month. If the interest rate on jon credit card was 11% per month on the unpaid balance, find the finance charge ..
Briefly describe the physical behavior of the solutions of elliptic, porabolic and hyperbolic equarions.
Find the equations for the tangent line of the graph f(x) = -x2 + 2x at x = 4. Performe the implicit differentiation to find the slop of the curve 2x2 + 3y2 = 5xy at the point (1,1).
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