MATHEMATICS COLLEGE

What is 75miles/hr in feet/second?(1mile = 5280feet)

Answers

Answer 1

Answer:

Answer:

110 feet/sec

Step-by-step explanation:

75 miles x 5280 feet

= 396000

396000/60 min

=6600

6600/60 secs

=110 feet/second

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Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. ln(x^2+1)

Answers

Answer:

The minimum value of the given function is f(0) = 0

Step-by-step explanation:

Explanation:-

Extreme value :- f(a, b) is said to be an extreme value of given function 'f' , if it is a maximum or minimum value.

i) the necessary and sufficient condition for f(x) to have a maximum or minimum at given point.

ii) find first derivative $f^(l) (x)$ and equating zero

iii) solve and find 'x' values

iv) Find second derivative $f^(ll)(x) >0$ then find the minimum value at x=a

v) Find second derivative $f^(ll)(x) <0$ then find the maximum value at x=a

Problem:-

Given function is f(x) = log ( x^2 +1)

step1:- find first derivative $f^(l) (x)$ and equating zero

$f^(l)(x) = (1)/(x^2+1) (d)/(dx)(x^2+1)$

$f^(l)(x) = (1)/(x^2+1) (2x)$ ……………(1)

$f^(l)(x) = (1)/(x^2+1) (2x)=0$

the point is x=0

step2:-

Again differentiating with respective to 'x', we get

$f^(ll)(x)=(x^2+1(2)-2x(2x))/((x^2+1)^2)$

on simplification , we get

$f^(ll)(x) = (-2x^2+2)/((x^2+1)^2)$

put x= 0 we get $f^(ll)(0) = (2)/((1)^2)$ > 0

$f^(ll)(x) >0$ then find the minimum value at x=0

Final answer:-

The minimum value of the given function is f(0) = 0

Solve the following problem using only the numbers 13 4 8 5 10The difference between which two numbers is 6?

Answers

Answer:

10 and 4

Step-by-step explanation:

Difference is subtraction.

10-4=6

Evaluate (8 + x) + 62 when x = 4.
A. 38
B. 14
C. 64
O D. 40

Answers

Answer:

74 if thats not an answer 64

Step-by-step explanation:

8+4=12

12+62

Answer:

Step-by-step explanation:

(8+x)+62

(8+4)+62

12+62

In a school of 500 students, 30% had I-Phones. The percent of boys to giwere 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.

Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey. How many pounds of turkey will you need to buy?