Please answer follow questions below, show all works and answer to correct answer please.

Assignment 5: Problem 7 (1 point) A price p (in dollars) and demand a: for a product are related by 21:2 + (imp + 50192 = 23200. If the price is increasing at a rate of 2 dollars per month when the price is 20 dollars, find the rate of change of the demand. Rate of change of demand : [j Assignment 5: Problem 1 {1 point) Let i be the length of a diagonal of a rectangle whose sides have lengths :1: and y , and assume that z and y vary with time. It :1: increases at a constant rate of % We and y decreases at a constant rate of % ft/s, how fast is the size of the diagonal changing when a: = 7 ft. and y = 8 ft? Answer: C] Assignment 5: Problem 2 (1 point) An inverted cylindrical cone, 32 ft deep and 16 ft across at the top, is being filled with water at a rate of 16 ft3/min. At what rate is the water rising in the tank when the depth of the water is: 1 foot? Answer: 10 feet? Answer: 31 feet? Answer: Work/Energy Joules C kilo Joule KJ ergs erg foot pounds Ibf calories cal kilo calories kcal electron volts ev kilo Watt hours KWh Misc Amperes amp Moles mol Degrees Centrigrade degC Degrees Fahrenheit degF Degrees Kelvin degk Angle degrees deg Angle radians rad More Units at http://webwork.maa.org/wiki/UnitsAssignment 5: Problem 4 {1 point) A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder increases and the radius, 1", decreases. If the length of the cylinder is increasing by 0.2 cm per second, find the rate at which the radius is changing when the radius is 4 cm and the length is 9 cm. (Give units.) rate = C] Assignment 5: Problem 3 (1 point) A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 14 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 3 ohms, at what rate is the current changing? (Give Straits) rate = D Unit Abbreviation Time Seconds s Minutes min Hours hr Days day Years yr Milliseconds ms Distance Feet ft Inches in Miles mi Meters m Centimeters cm Millimeters mm Kilometers km Angstroms A Light years lightyear Mass Grams g Kilograms kg Slugs slug Volume Liters L Cubic Centimeters cc Milliliters ml Force Newtons N Dynes dyne Pounds lb Tons ton