Math Answers

Find the area of the region bounded by the curves x=y³ and y=x².

The mean serum level measured in 12 patients twenty-four hours after they received a newly recommended antibiotic was 1.2 mg/dl with a standard deviation of 0.4 mg/dl. If the mean serum level in the general population is 1.0 mg/dl, test whether or not the mean serum level in the sample group is significantly different from that of the general population. Use a = 5%. Compute the test value.

Let f : R → R be defined by f(x) = 3√(1 – x 3 ). a. Prove that f is bijective b. Determine f -1 (x)

 An RCL circuit connected in series has R = 10 ohms, C = 10^2 farad, L = 1.5 henry, and an applied voltage E = 12 volts. Assuming no initial current and no initial charge at t = 0 when the voltage is first applied, find the subsequent current in the system.

Find the sum-of-products expansions of these boolean functions: F(x,y,z) = x.

If A=15° and c=37, find a.

Two boats 1200 feet apart measures an angle of elevation of 35 degree and 42 degree to the top of a lighthouse. how tall is the lighthouse?

Show that the function f defined by f(x) =1//x^2 is uniformly continuous on [5 ,∞].

If the population size is equal to 5 and the sample size is equal to 3. How many possible sample can be drawn using the formula of without replacement?

If the population size is equal to 3 and the sample size is equal to 5. How many possible samples can be drawn using the formula of with replacement?