For the following fxy (x, y), Find: y X 1 1.5 2.5 3 1. E(X), 1 1/4 0 0 0 2. V(X), 2 0 1/8 0 0 3. Οχι 3 0 1/4 0 0 4. E(Y), 4 0 0 1/4 0 5. V(Y), 5 0 0 0 1/8 6. Oy

If y = 12 when x = 6/7, find x when y = 16

The number of web searches S in billions on a particular web during year x can be approximated by S(x) = 228x-456,574 from 2009 to 2012. Evaluate S(2010) and interpret the result.

Find f. = 6 + 6x + 36x², f(0) = 3, f(1) f(1) = 14 f"(x) =

Determine q′(4) when q(x)=70(5x)/ x4 (Do not include "q′(4)=" in your answer.) Round the answer to the nearest tenth.

The windchill index announced during the winter by the weather bureau measures how cold it "feels" for a given temperature t (in degrees Fahrenheit) and wind speed w (in miles per hour). It is calculated by the formula C(t, w) = 35.74 + 0.6215t - 35.75w 0.16 + 0.4275tw0.16 + '.+ If the temperature is 31 degrees and the wind speed is 10 miles per hour, estimate the change in the windchill temperature if the wind speed increases by 4 miles per hour and the temperature drops by 5 degrees. (Round your answer to two decimal places.)

Describe the effect of multiplying VI by -1 as in f (x) = -/I.

By using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age group of width years (x to x+n years) that is show tha nqx = (2*n* nmx) /(2+n*nmx)

Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t days after the start of the year. If it takes approximately 0.2 days after the farmer sells their 45th gallon of maple syrup for them to sell the 46th gallon, fill in the mathematical expression below with the correct input and output values: (9-)' (

Estimate ƒ(−1.02, −0.97) given that ƒ(−1, −1) = 3, ƒx(−1, −1) = −2 and fŋ(−1, −1) = −1. f(-1.02, -0.97) ≈