## Given 4022 base 5 = 8 power of e. Find the value of e.How do you get the answer 3?answer options:1. 22. 43. 34. 5

## Prove a function that differs in finitely many points has the same integral as another

I'll show a proof if the two functions differ for only one point. Then, you can repeat the same argument in the neighbourhood of every other point.

So, suppose that we have

We can write

We can write the exact same thing for , and we have (as far as we know)

So, we only need to prove that the term where f and g are not the same function can be made arbitrarily small.

Since f and g are integrable on an interval, they are bounded. Let's call and the maximum of f and g, respectively, in the interval . We have

The same goes for g(x). So, You have

which tends to 0 as

## The point a is located 6 units to the right of the y-axis and 7 units below the x-axis. what are the coordinates of point a?

6 units to the right of the y-axis means the x-coordinate is +6.

7 units below the x-axis means the y-coordinate is -7.

Your point has coordinates **(x, y) = (6, -7)**.

## Suppose that f(2)equals4 and that fprime(x)equals0 for all x. must f(x)equals4 for all x? give reasons for your answer.

**Yes**. If f'(x) = 0 everywhere, then the graph of f(x) is a horizontal line. If f(2) = 4, then f(x) = 4 for any x.

## Suppose that f(2)=4 and that =0 for all x. must f(x)=4 for all x? give reasons for your answer.

**Yes**. If f'(x) = 0 everywhere, then the graph of f(x) is a horizontal line.

If f(2) = 4, then f(x) = 4 for any x.

## 8952×58464 answer the question

## Find the probability of rolling a 6-sided die and getting a 3. write your answer as a fraction.

1/6 because we have only one 3 in a die

## There are 8 tennis balls in a bag.five of the balls are yellow and the other 3 are green, what's the probability of pulling out a green ball without looking? write your answer as a decimal

3/8 = 0.375

3 divide by 8 = 0.375

## No one seemed to get this answer What is the measure of the angle? a.155° b.90° c.205° d.315° Im pretty sure its A. 99% sure just needed to see it worked out, to make sure its right. I posted the Graph..

The larger angle is 90 + 65 = 155 degrees

## 270.7608 rounded to the nearest whole number

270.7608 to nearest whole number is 271

Hope it helped!