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Maru [420]
3 years ago
13

An airplane traveling toward Denver is 642 miles away ay 1:30pm and 42 miles away at 3:00pm. Assuming the plane's position and v

elocity functions are differentiable, which of the following can be used to show that the plane was traveling at exactly 400 mph at some time between 1:30pm and 3:00pm?
I. Extreme Value Theorem
II. Mean Value Theorem
III. Intermediate Value Theorem for Derivatives
A) I only
B) II only
C) III only
D) Either I or III
E) Either II or III
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0
The Mean Value Theorem is one of the most important theoretical tools in Calculus. It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that 
f'(c) = ( f(b) - f(a) ) / b - a= 642 - 42 / 1.5 h= 400 mphso the answer B
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36 combinations im pretty sure 3*4*3=36
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➷ Just substitute the given value into anywhere you see the term x:

2 x 4^2 + 12

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2 x 16 + 12

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3 0
3 years ago
Read 2 more answers
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing
Sveta_85 [38]

Answer:

$57

9w+6d

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = w

Number of hours taken for walking dogs = d

Earnings for w hours for washing cars = Per hour earnings multiplied by number of hours = $9w

Earnings for d hours for walking dogs = Per hour earnings multiplied by number of hours = $6d

Total earnings by both = $(9w+6d)

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

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5 0
3 years ago
Find the equivalent to x^7
MrMuchimi
1/x^-7

It would look more like       1
                                        ------
                                             -7 (as an exponent)
                                          x
3 0
3 years ago
A prime number less than 100 is selected randomly. what is the probability that its square has units digit $7$?
liberstina [14]
Any number ends with 0, 1, 2, 3, 4, 5, 6, 7, 8 or  9

Given any number. The square of this number is the last digit of square of the original numbers units digit.

For example

23*23 ends with 9 (3*3=9)

149*149 ends with 1 (9*9=81)

2564*2564 ends with 6 (4*4=16) 

and so on

so all the possible unit digits of a square number are {0, 1, 4, 5, 6, 9}

because:

0*0= 0 ; 1*1=1; 2*2=4; 3*3=9; 4*4=16; 5*5=25, 6*6=36; 7*7=49; 8*8=64, 9*9=81

Thus, the probability that the square of a number selected from any set of numbers being 7, is 0.


Answer: 0
 

4 0
3 years ago
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