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kiruha [24]
3 years ago
14

Suppose f(π/3) = 3 and f '(π/3) = −7,

Mathematics
1 answer:
insens350 [35]3 years ago
8 0
Et's give this a go:h(x) = cos(x) / f(x)
derivative (recall the quotient rule)h'(x) = [ f(x) * (-sin(x)) - cos(x)*f'(x) ] / [ f(x) ]^2
simplifyh'(x) = [ -sin(x)*f(x) - cox(x)*f '(x) ] / [ f(x) ]^2h'(π/3) = [ -sin(π/3)*f(π/3) - cox(π/3)*f '(π/3) ] / [ f(π/3) ]^2h'(π/3) = −(3–√/2)∗(3)−(1/2)∗(−7)/(3)2
h'(π/3) = (−33–√/2+7/2)/9

And you can further simplify if you want, I'll stop there.
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How far will a wheel with a radius of 3.5 feet travel in 500 revolutions? (Use 22/7 for tt)
storchak [24]
<span>C = 2πr
C = 2(2/7)(3.5)
= 22
Distance traveled by the wheel in one revolution is 22 feet.
Distance traveled in 500 revolutions will be: 500 x 22 = 11,000 feet.</span>
7 0
3 years ago
1. Which of the following measurements could be the three side lengths of a right triangle? a. 4 cm, 5 cm, 9 cm b. 12 cm, 20 cm,
HACTEHA [7]

Answer:

b and c

Step-by-step explanation:

The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.

In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.

In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.

8 0
3 years ago
The sum of four consecutive integers is 48. What is the smallest of four integers?<br><br> Plz hurry
damaskus [11]

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

8 0
3 years ago
How do I find the missing side of this triangle
larisa86 [58]

Answer:

40

Step-by-step explanation:

by using similar triangles;

27/24=45/x

x=45x24/27=40

7 0
3 years ago
Read 2 more answers
A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then
Dafna11 [192]

Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

5 0
3 years ago
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