The result of the product of (0.36) and (0.53) is 0.1908
<h3>How to determine the product</h3>The product expression is given as:
(0.36) * (0.53)
Rewrite the product as follows:
Expand the product
Expand
Evaluate the sum
See attachment for the area diagram of the product
Read more about products at:
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 .