Answer:
Step-by-step explanation:
If n is the number that TJ is thinking, then says he found 1 third of the number, you would multiply 1/3 by n. Then he says to subtract 5, which would be the -5.
(x) = arcsec(x) − 8x
f'(x) = d/dx( arcsec(x) −
8x )
<span> 1/xsqrt( x^2 - 1) - 8</span>
f'(x) = 0
1/xsqrt( x^2 - 1) - 8 = 0
8 x sqrt (x^2-1) = 1
<span> ( 8 x sqrt (x^2-1) )^2 = 1</span>
64 x^2 ( x^2 - 1) = 1
64 x^4 - 64 x^2 =1
64 x^4 - 64 x^2 - 1 = 0
x = 1.00766 , - 1.00766
<span> x = - 1.00766</span>
f(- 1.00766) = arcsec(-
1.00766) − 8( - 1.00766)
f( - 1.00766 ) = 11.07949
x = 1.00766
f(1.00766) =
arcsec(1.00766) − 8( 1.00766)
f(1.00766 ) = -7.93790
relative maximum (x, y) =
(- 1.00766 , 11.07949 ) relative minimum (x, y) = ( 1.00766 ,
-7.93790 )
Answer:
Number of weeks in a year = 52 weeks
If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for
Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.
Then in a year Jim's dog would get
So Jim's dog will get 17- 13 =4 treatments more.
4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment
3/8 of a foot = 3/8 x 12/1 or 4 1/2 inches
So our 1/2 inch grows by a factor of 9 because 4 1/2 ÷ 1/2 = 9 Think how many 1/2 dollars are in 4 1/2 dollars. (Answer is 9)
So our 8 4/9 in the catalog has to grow the same
8 4/9 x 9 = 8 4/9 x 9/1 = 76/9 x 9/1 or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)
Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
