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scoray [572]
3 years ago
15

Find the derivative of the given function. f(x) = (x^1/4 + 11) (7 x^1/2+ 3)

Mathematics
2 answers:
Lapatulllka [165]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x)=(x^{\frac{1}{4}}+11)(7 x^{\frac{1}{2}}+3)\\f'(x)=(x^{\frac{1}{4}}+11)(7*\frac{1}{2}x^{-\frac{1}{2}})+\frac{1}{4} x^{-\frac{3}{4}}(7 x^{\frac{1}{2}}+3)

zhenek [66]3 years ago
4 0

Answer:

21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.

Step-by-step explanation:

Use the product rule;

d(uv) = udv/dx + v du/dx

u = x^1/4 + 11 and v = 7x^1/2+ 3.

f'(x) =  (x^1/4 + 11)(7/2x^-1/2 + (7 x^1/2+ 3)1/4x^-3/4.

= 7/2x^-1/4 + 77/2x^-1/2 + 7/4x^-1/4 + 3/4x^-3/4

= 21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.

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What is the enlargement ratio if you enlarge the figure to have a width of 16 units and length of 12 units
Fantom [35]

Answer:

The enlargement ratio is 3:4

Step-by-step explanation:

We are given

a width of 16 units and length of 12 units

so,

W=16

and

L=12

now, we can find enlargement ratio

we can use formula

enlargement ratio = (length)/(width)

=\frac{L}{W}

now, we can plug values

=\frac{12}{16}

now, we can simplify it

=\frac{3}{4}

So,

The enlargement ratio is 3:4

6 0
3 years ago
Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and fo
maria [59]
The probabitily is if they get selected  as a team of 7 aswell if they're playing a game of some sort.
 
7 0
3 years ago
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line cor
Fynjy0 [20]

Given :

A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.

To Find :

Which number line correctly models this situation and the total number of distance markers.

Solution :

It is given that their are markers every 1/4 part of mile.

So, their are 4 markers per mile.

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n = 3\times 4\\\\n = 12

Therefore, the total number of distance markers in 3 mile path is 12.

Hence, this is the required solution.

5 0
3 years ago
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
Rufina [12.5K]

Answer:

babala

Step-by-step explanation:

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.

a) What are the mean and standard deviation of the number of universal donors among the 6 people?

b) What is the probability that there are exactly three universal donors?

7 0
3 years ago
Craig likes to collect video records last year he had 10 records his collection now has 12 records what is the percent increase
algol [13]
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6 0
3 years ago
Read 2 more answers
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