Math Answers

x − y + 2 = 0 is a tangent to the curve 3 2 (x + y) = (x − y + 2) at (−1, 1) is it true or false.justify the answer

Supposing that the length of certain machine parts may be looked upon as a random variable having a normal distribution with a mean of 2.000 cm, and a standard deviation of 0.050 cm. specifically we want to test the null hypothesis µ = 2.000 against alternative hypothesis µ not equal to 2.000, on the basis of mean of a random sample of size 30. If probability of type 1 error is 0.05 what is the probability of type 2 error for µ=2.010?

Sketch the graph of the function f defined by f(x) =x⁴+8x³, clearly giving all the properties used in it.

A square sandbox has an area of 75 ft.² estimate the length of one of the sides of the sandbox

A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 32 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 35 fewer deluxe staterooms than twice the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 581

Suppose that a rectangular classroom is 43 feet long, 19 feet wide and has a volume of 3,665 cubic feet. How high above the floor is the ceiling?

Evaluate integral x⁴/(1+x²)⁴ dx from 0 to ∞ using a reduction formula for the product of trigonometric
functions.

determine a region of the xy-plane for which the given DE would have a unique solution whose graph passes through a point (x0,y0) in the region

(y-x)y'=y x

Solve the initial value problem

(e^x + y)dx + (2 + x +ye^y)dy=0, y(0)=1

An experiment has 8 possible​ outcomes, all equally likely. An event can occur in 4 ways. Find the probability that the event occurs.
The probability that the event occurs is