The heat index i is a measure of how hot it feels when the relative humidity is h (as a percentage) and the actual air temperature is t (in degrees fahrenheit). an approximate formula for the heat index that is valid for (t ,h) near (90, 40) is i (t, h) = 45.33 + 0.6845t + 5.758h − 0.00365t 2 − 0.1565ht + 0.001ht2 (a) calculate i at (t ,h) = (95, 50). (b) which partial derivative tells us the increase in i per degree increase in t when (t ,h) = (95, 50)? calculate this partial derivative.

a) degrees

b)

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

a) Calculate I at (T ,H) = (95, 50).

degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is . So

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

step-by-step explanation:

a and d