For this case we have the following function:
<span>Deriving t</span><span>he function we have:
</span>
We now evaluate the function for the value of x = 5.
We have then:
Answer:
the derivative of f(x) = 4x + 7 at x = 5 is:
4
<span>5 1/6 x 1/3
</span>first convert 5 1/6 (which is a mixed fraction) into an improper fraction ...
=> 6*5+1/6 = 31/6
=>now we have ... 31/6 * 1/3
=> to multiply fractions we multiply the numerators ( top numbers ) with each other and the denominators (bottom numbers ) also the same way ...
=> 31/6 * 1/3 => 31*1 / 6*3 => 31/18
=> then divide them to get answer as mixed fraction ..
=> 1 13/18 ..
<span>3 1/2 / 1 1/3
</span>=> here also first convert 3 1/2 and 1 1/3 into improper fractions ..
=> 3 1/2 => 2*3+1/2 => 7/2
=> 1 1/3 => 3*1+1/3=> 4/3
=> now divide them ..
=> 7/2/4/3
=> for dividing fractions we take the reciprocal of one fraction and then multiply ..
=> 7/2 * 3/4
=> now multiply these two fractions ..
=> 7*3/2*4 => 21/8
=> answer as mixed fraction = 2 5/8 ...
Hope it helps !!!
Answer:
Step-by-step explanation:
Given
Area of Sector : Area of Circle = 3 : 5
Required
Determine the central angle
The question implies that
Multiply both sides by 5
Multiply both sides by Area{circle}
Substitute the areas of sector and circle with their respective formulas;
So, we have
Divide both sides by 
Multiply both sides by 360
Divide both sides by 5
Hence, the central angle is 216 degrees
