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IrinaVladis [17]
3 years ago
10

The tables show the cat population on two islands over several years. Describe

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
3 = 10 because it makes sense
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Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separ
Sidana [21]

Answer:

This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3

Step-by-step explanation:

The given function is

f(x)=(x-3)^{-2}

When we differentiate this function with respect to x, we get;

f'(x)=-\frac{2}{(x-3)^3}

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)

This implies that;

0.06-0.25=-\frac{2}{(c-3)^3} (6)

-0.19=-\frac{12}{(c-3)^3}

(c-3)^3=\frac{-12}{-0.19}

(c-3)^3=63.15789

c-3=\sqrt[3]{63.15789}

c=3+\sqrt[3]{63.15789}

c=6.98

If this function satisfies the Mean Value Theorem, then f must be continuous on  [1,7] and differentiable on (1,7).

But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.

 

3 0
3 years ago
Question 2 (multiple choice)
castortr0y [4]
Your x-intercept is at (-2,0) and your y intercept at (0,-3), so it's D
4 0
3 years ago
Solve the equation: x2 = 1
oee [108]

Answer:

x = 0.5

Step-by-step explanation:

hope this helps!

3 0
3 years ago
Read 2 more answers
Find the product of the solutions of this equation 2x^2+26x+156=0
NARA [144]
Check the attached file for the answer.

7 0
3 years ago
Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5
Studentka2010 [4]

Answer:

Actual length of the Bridge = 8983.33 feet.

Step-by-step explanation:

The scale is 1 unit = 19,600.

Height of the postcard is 3.5 inches.

So, original height of the bridge = 3.5 × 19,600 = 68,600 inches

= 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

= 8983.33 feet


8 0
3 years ago
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