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HACTEHA [7]
3 years ago
8

If f'(x) = cos(3^x), then the smallest value of x for which f has a relative maximum is:

Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

A 0.411

Step-by-step explanation:

A graph of f'(x) is negative-going at its first zero-crossing of about x=0.411. Thus, this point where the derivative is zero corresponds to a local maximum.

_____

There are no zero crossings for negative values of x. The curve asymptotically approaches y=1.

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Imagine you are given the diameter of a circle and asked to find its volume. Select the statement that describes what you should
ivanzaharov [21]

Answer:

We need to take the diameter and divide by 2 to find the radius

Step-by-step explanation:

The volume of a sphere is found by

V = 4/3 pi r^3

So we need the radius

We know the diameter

r = d/2

We need to take the diameter and divide by 2

3 0
3 years ago
An electrical rm manufactures light bulbs that have a life span that is approximately normally distributed. The population stand
stira [4]

Answer:

The 't' test statistic = 1.46 < 1.69

The test of hypothesis is H 0 :μ = 800 is accepted

A sample of 30 bulbs are found came from average µ= 800

Step-by-step explanation:

Step 1:-

Given population of mean μ = 800

given size of small sample n =30

sample standard deviation 'S' = 45

Mean value of the sample χ = 788

Null hypothesis H_{0} =µ  =800

alternative hypothesis  H_{1} = µ ≠ 800

<u>Step 2</u>:-

The 't' test statistic t =  \frac{x-μ}{\frac{sig}{\sqrt{n} } }

                             t = \frac{788-800}{\frac{45}{\sqrt{30} } }

                       t = \frac{12}{8.215} = 1.4607

<u>Step 3</u>:-

The degrees of freedom γ = n-1 = 30-1 =29

From "t" value from table at 0.05 level of significance ( t = 1.69)

The calculated value t = 1.4607 < 1.69

Therefore The null hypothesis H_{0} ' is accepted.

<u>conclusion</u>:-

A sample of 30 bulbs are came found from average µ= 800

7 0
3 years ago
Match each quadratic equation with the best way to solve it. 1. 5x2 + 12x - 3 = 0 solve by square root method 2. x2 - 4x = 8 sol
Ksivusya [100]
<span>The best way to solve each equation is:
 
</span> 1) 5x2 + 12x - 3 = 0 -----> solve by quadratic formula 
 2) 4x2 - 25 = 0 -----------> solve by square root method 
 3) x2 - 5x + 6 = 0 --------> solve by factoring
 4) x2 - 4x = 8 -------------> solve by completing the square 

8 0
3 years ago
Given that f(x) = -6x and g(x) = x + 4, multiply the functions (f •g)(x).
Westkost [7]

Answer:

(f • g)(x) = -6x² - 24x

Step-by-step explanation:

The expression (f • g)(x) can be written in an expanded form, f(x) • g(x).

(f • g)(x)                         <----- Original expression

f(x) • g(x)                       <----- Rewritten expression

(- 6 x) • (x + 4)               <----- Insert functions

-6x² - 24x                    <----- Multiply -6x and x, and multiply -6x and 4

8 0
2 years ago
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How are the cummutative property of addition and the commutative property of multiplication aloke
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They both switch around numbers 
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