A city planner would like to estimate the true mean annual income of all households in the city. She selects a random sample of
1 answer:
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First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is 
. Set the derivative equal to 0 and factor to find the critical numbers. 
, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.
Answer:
Option B ⇒ Area of base of each pyramid :
Option A ⇒ Volume of pyramid :
cm3
Step-by-step explanation:
One side of tile consists of 4 pyramids and since length of whole tile is x,
So, the base length of each pyramid =
⇒ Area of base of each pyramid = side²
⇒ Area =
Volume of square based pyramid :
For 1. The correct Option is B
For 2. The correct option is A