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
.
Ok the numbers r
16/3 x+ 29/3
Answer: y=1.5x+5 slope 1.5
explanation: it the first two questions
Answer:
20 gallons
Step-by-step explanation:
10 gallons of solution w/ 15% juice means 1.5 gal of juice
to make it into 5%, multiply 1.5 by 20
1.5 x 20 = 30
5% of 30 gallons is 1.5 since 10% of 30 is 3.
Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.
I hope this helps thanks