Suppose that contamination particle size (in micrometers) can be modeled as f(x) = 13x14 for 1 < x. Determine the mean of X.

Q: Calculate approximate value y = x* at x = 2,003

A:

Q: Question 1 Find the average rate of change of g(x) = 5x³-2 from z = -1 to z = 4.

A: Given the query is to find the the average rate of change for the function.

Q: The lifespan X (years) of a species of pig has pdf f (x) = 3x2e−x^3 , 0 < x < ∞. Does X possess the…

A: To determine whether the random variable X, representing the lifespan of a species of pig, possesses…

Q: A cabinet maker monitors the number of defects in their cabinets. They have a historical average of…

A: Solution

Q: Find the average rate of change of f(x) = x2 from x1 = 1 to x2 = 2

A: The average rate of change formula is:

Q: Derive the uncertainty delta A for the function A(x,y,z) = x^3 * y + ln(z), where x = 3.1 (plus or…

A: The function is given as

Q: The average value of y = v(x) equals 4 for 1 sxs 6, and equals 10 for 6 s xs 12. What is the average…

A:

Q: For the function h(x)= x^3-3x^2-1, determine the equation of the normal line at x=2

A: Given, hx=x3-3x2-1

Q: w many times between two points do we have an Instantaneous Rate Of change equalling Average ro

A: To determine the number of times the instantaneous rate of change equals to the average rate of…

Q: The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city-…

A: Given data :

Q: i think in step 3 marginal of pdf y is wrong because of y's range is wrong. in the question -1<= x…

A: The marginal pdf of Y is right.

Q: How can one determine the average rate of change of g(x) = mx+ b over the interval x1 SxSx, without…

A: The equation of a straight line is defined using the linear equation, y=mx+b, where m is the slope…

Q: 6) Let { Find f' in the sense of distributions. Show that f(1) = I>0 -e² I≤0. f" = 28 + f in the…

A: f(x) =

Q: Find the average rate of change of the :following function over the given interval f (1) = r³ + 1…

A: The average rate of change of a function f(x) in the interval [a, b] is given by fb-fab-a. The given…

Q: k should be 3/8. But, what is the probability that the lecture ends within 1 min of the end of the

A: By the property , the total probability density function is equal to one.

Q: If f and g are inverse functions and if f (x) = 7 and f' (x) = when x = -3, give the equation of the…

A: The equation of normal line is 4x+3y-19=0

Q: Determine the equation of the normal line to f(x) = 9/x2 at x = 3

A: