Chapter 13, Problem 24RE

Answer number 2

Answer number 1

Use a calculator to find a decimal approximation for the following trigonometric function. cot 226°54' cot 226°54' (Simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed.)

In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $31 per doll. During the holiday selling season, FTC will sell the dolls for $39 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Determine the equation for computing FTC's profit for given values of the…

For all integers a and b, (a + b)^4 ≡ a^4 + b^4 (mod 4).

For all integers a and b, (a + b)4 = a4 + b4 (mod 4). write a counterexamples

For all integers a and b, (a + b)^2 ≡ a^2 + b^2 (mod 2).

For all integers a and b, (a + b)^3 ≡ a^3 + b^3 (mod 3).

Find a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14 and -3x - y + z = −21. The equation of the plane is: