The temperature at any point in the plane is given by t(x, y) = 110 / x^2+y^2+3. (a) what shape are the level curves of t? a. lines b. ellipses c. hyperbolas d. circles e. parabolas f. none of the above (b) at what point on the plane is it hottest? what is the maximum temperature? (c) find the direction of the greatest increase in temperature at the point (−1,1). what is the value of this maximum rate of change, that is, the maximum value of the directional derivative at (−1,1)? (d) find the direction of the greatest decrease in temperature at the point (−1,1). what is the value of this most negative rate of change, that is, the minimum value of the directional derivative at (−1,1)?

answer: sensy

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

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