The given graph (say) is that of a parabola centered at .
The function is increasing (positive rate of change) i.e, in interval .
The function is decreasing (negative rate of change) i.e, in interval .
The function has global minimum (rate of change is 0) i.e, at .
18. Consider again the function g(x) graphed at the right. For which values of x does...
cal 3. answer a-f please. Some of the gradient vectors of a smooth function shown in the diagram to the right. g(x, y) are a. 3 pts At which of the points where the gradient is shown does g have the greatest rate of change? 2 b. 3 pts What is the rate of change of g at the point in part a? 2 2 -1 c. 4 pts Does g (1,0) appear to be positive, negative, or zero? Explain....
This Question: 1 pt 20 of 25 (18 complete) Find the function that is finally graphed after the following transformations are applied to the graph of y = 1x in the order listed. (1) Reflect about the x-axis (2) Shift down 4 units (3) Shift right 5 units у
Consider the function g graphed below. Select the correct choice below and fill in any answer boxes in your choice. OA. g(x) = X+4, for x < -1 -X-2, for x 2 - 1 lim g(x) = X-1 AY (Type an integer or a simplified fraction.) B. The limit does not exist. х TTT -8 -4 4 -8- Find lim g(x). X-1
Consider a production function Q = 3K + 4L, when L is graphed on the x-axis and K is graphed on the y-axis, the marginal rate of technical substitution is equal to A) 4/3 and the isoquant is convex to the origin. B) 4/3 and the isoquant is a straight line. C) and the isoquant is a straight line. D) 12 and the isoquant is convex to the origin.
Consider the following scenario. Individuals that have negative Z score values on variable X also have negative Z score values on variable Y; and individuals that have positive Z score values on variable X also have positive Z score values on variable Y. Which type of correlation would you expect to find, given this scenario? Negative correlation coefficient Zero correlation coefficient Positive correlation coefficient
last part is -1 is less than or equal to x is less than or equal to 2. 3. For the curved function graphed below a) Determine the instantaneous rate of change at x= -1. 1 2 b) Determine the average rate of change on the interval -1 <S 2 3. For the curved function graphed below a) Determine the instantaneous rate of change at x= -1. 1 2 b) Determine the average rate of change on the interval -1
Consider the functions f(x)=0.1x^2+10 and g(x)=x, which are graphed below. (You can click on the graph to enlarge the image.) Find the area enclosed between f and g from x=−7 to x=6.
Function f is graphed. y 9 8 7 6+ y = f(x) CT 4+ 3+ 2+ 1+ H4+ 29-8-7 -6 -5 -4 3-2 1 2 3 4 5 6 7 8 9 -2 -3 4 -50 1 A 2+ M من 4 -58 -6 -8 -9 What appears to be the value of lim f(x)? 20+ 07 0-5 Unbounded Function g is graphed. → see y= g(2) 9 8 7+ 6+ 5+ 4+ es 2+ 1+ A+++ -9 -8 -7...
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
1. Consider a continuous random variable X with the probability density function Sx(x) = 3<x<7, zero elsewhere. a) Find the value of C that makes fx(x) a valid probability density function. b) Find the cumulative distribution function of X, Fx(x). "Hint”: To double-check your answer: should be Fx(3)=0, Fx(7)=1. 1. con (continued) Consider Y=g(x)- 20 100 X 2 + Find the support (the range of possible values) of the probability distribution of Y. d) Use part (b) and the c.d.f....