Answer:
523.3
Step-by-step explanation:
Please give me brainliest
Divide (–15x5 – 16x4 + 84x3 – 17x2 – 9x – 15) by (x – 8/5) using synthetic division.
1 answer:
Synthetic division work with the coefficient of the given polynomial expression
We have
-15 -16 84 -17 -9 -15
and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅
Refer to the diagram below for the steps of synthetic division
Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.
Repeat the steps until we use up all the remaining coefficients
The final values are the coefficients of the quotient and the last value is the reminder
We have
-15 -16 84 -17 -9 -15
and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅
Refer to the diagram below for the steps of synthetic division
Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.
Repeat the steps until we use up all the remaining coefficients
The final values are the coefficients of the quotient and the last value is the reminder
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Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71
<h3><u>Solution:</u></h3>Given that
Goran's company makes solid balls out of scrap metal for various industrial uses.
For one project, he must make aluminum balls that have a radius of 7.5 inches.
Cost of aluminum = $0.12 per cubic inches
Need to determine cost of aluminum to make one ball.
Lets first calculate the volume of one ball
As shape of the ball is sphere , we can use volume of sphere formula
Where "r" is the raius of ball
Given that radius of required ball = 7.5 inches
So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches
Cost of aluminum for 1 cubic inch = $0.12
<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>
Answer:
(a). y'(1)=0 and y'(2) = 3
(b).
(c).
Step-by-step explanation:
(a). Let the curve is,
So the stationary point or the critical point of the differential function of a single real variable , f(x) is the value which lies in the domain of f where the derivative is 0.
Therefore, y'(1)=0
Also given that the derivative of the function y(t) is 3 at t = 2.
Therefore, y'(2) = 3.
(b).
Given function,
Differentiating the above equation with respect to x, we get
Applying chain rule,
(c).
Finding the exact values of k and b.
As per the above parts in (a) and (b), the initial conditions are
y'(1) = 0 and y'(2) = 3
And the equations were
Now putting the initial conditions in the equation y'(1)=0
2kbcos(b) = 0
cos b = 0 (Since, k and b cannot be zero)
And
y'(2) = 3