Answer:
Step-by-step explanation:
Given: The number of bacteria, B, in a refrigerated food is given by the function , where t is the temperature of food in degrees Fahrenheit.
The function gives the temperature, t, of the food h hours after being removed from the refrigerator.
Now, the number bacteria in the food in h hours is given by:-
So, The number bacteria in the food in h hours is given by:
The tangent to at the point (0, 5) has a slope equal to the derivative evaluated at
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
Given:
The three equations for the three numbers are
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
In the same way find b and c.
The third number is
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.