MATHEMATICS HIGH SCHOOL

Decide whether Rolle's theorem can be applied to f(x) = x2 + 5 on the interval [0, 3]. If Rolle's theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

it is continuous in [0,3]

f'(x)=2x which exists in (0,3)

f(0)=0²+5=5

f(3)=3²+5=14

f(0)≠f(3)

so Rolle's theorem can't be applied.

Related Questions

Please someone help me i do not know the answer
Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
Solve the equation for y=5x-6 and solve for x
10 pts help me out!Its kinda simple
Could somebody Please help me

According to the study unit, addition is defined asa. combining two or more numbers to find their sum.
b. combining two or more numbers to find their difference.
c. combining two or more numbers to find their product.
d. combining two or more numbers to find their quotient.

Answers

The right answer for the question that is being asked and shown above is that: "a. combining two or more numbers to find their sum." According to the study unit, addition is defined as combining two or more numbers to find their sum.

The area of a square is 320 square feet. Estimate the length of one side. Round your answer to the nearest whole number.

Answers

the area of a square is double the side itself. so to do this just square root 320, and you get 17.88854381999832, so to round it up it should be 18 ft

If n=-2 should we first add 7 to n or
multiply n by 3? Explain.

Answers

Answer: Add 7 to n to make it a positive number and easier to work with

Step-by-step explanation:

first all 7 then divide by divide by 3

-x[-x(x-a) - (a-x)]
x = -2 & a = -5


answer and enjoy the points :D

Answers

Answer:59

Step-by-step explanation:

There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?

Answers

use the equations 300x + 225y= 217500 and x + y= 850 to solve

Marya wants to factor the polynomial 36x3 – 22x2 – 144x. Which term can she add to the polynomial that would not change its greatest common factor? Check all that apply.–11
–50xy
–40x2
24
10y

Answers

Answer:

–50xy

–40x2

Will not change the Greatest Common Factor.

Step-by-step explanation:

Greatest common factor is the highest factor that divides 2 or more number.

We can find the GCF by multiplying all the factors that are common to each number.

Factors of 36x^(3)=1,2,3,4,6,9,12,18, 36 and x,x^(2),,x^(3)

Factors of 22x^(2)=1,2,11, x and x^(2)

Factors of 144x=1,2,3,4,6,8,9,12,16,18,24,36 and  x and more.

So the common factors to all three numbers are 1,2 and x.

So GCF = 1*2*x=2x

If we use 11 it will change the GCF to 11.

If we use 50xy it will not change the GCF.

If we use 4040x^(2) it will not change the GCF.

IF we use 24 it will change the GCF.

If we use 10y it will change the GCF.
Given:

36x³ - 22x² - 144x

GCF:
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3  

22 ÷ 2 = 11

144 ÷ 2 = 72
  72 ÷ 2 = 36
  36 ÷ 2 = 18
  18 ÷ 2 =   9
    9 ÷ 3  =  3

2 is the GCF of all terms. We can add 24. It would not change the GCF of the polynomial.

36x³ - 22x² - 144x + 24

2(18x³ - 11x² - 72x + 12)
Other Questions
PLSSSSS HELP IF YOU TRULY KNOW THISSSSS
There is a sale on produce at the local supermarket. Strawberries are ½ price if you buy more than 45 ounces. The scale only measures in pounds. How many pounds would you have to buy to receive the discount
What is 67.142 rounded to the nearest ones?
What operation should be performed first in the expression 8 - 2 + 5 x (16 + 66 didved by 2)