Provide an appropriate response.Use the Intermediate Value Theorem to prove that x(x - 7)2 = 7 has a solution between 6 and 8.

What will be an ideal response?


Let f(x) = x(x - 7)2 and let y0 = 7.   and  Since f is continuous on  and since  is between  and  by the Intermediate Value Theorem, there exists a c in the interval  with the property that  Such a c is a solution to the equation 

Mathematics

You might also like to view...

Find the indicated trigonometric function, given that ? is an angle in standard position with the terminal side passing through the given point.(1.6, -3.84); Find sec ?.

A.
B. - 
C. - 
D. - 

Mathematics

Find the x- and y-coordinates of the following labeled points.

A. R(6, 2); S(-4, -7) B. R(-7, 6); S(-4, -7) C. R(-7, -4); S(6, -4) D. R(-7, 6); S(-7, -4)

Mathematics

Add or subtract as indicated. Write the answer in simplest form. +  + 

A. 2
B.
C.
D. 3

Mathematics

Find the whole.29 men is 0.76% of what number of men?

A. 3815.79 B. 38,157.9 C. 262 D. 2.62

Mathematics