Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is 
. In particular, the value we are looking for is 
.
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get 
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to 
.
Answer:
16: 0.5, 5, 7.5
17: 62, 434, 682
18: 12.3, 62.5, 10
19: 1, 75, 300
Step-by-step explanation:
16: 9/18=0.5 so halve the numbers
17: 186/3=62 so multiply numbers by 62
18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one
19: 125/5=25 so for the first one divide by 25 and for the last two times by 25
Answer:
2×π×(1/2)L×L+2×π×((1/2)L)^2
Step-by-step explanation:
perimeter of cross-section × height +2× area of cross-section
Answer:
(x+11), (y+15)
Step-by-step explanation:
the point v gets translated 11 points to the right, so the translation is x+11.
Point v also gets translated 15 points up, so the translation is y+15
You gotta fond the radius of the circle
I’m pretty sure
