All categories

3 years ago

Find the relative minimum of y = 3x^3 + 12x^2 - 10x - 56

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

7 0

Answer:

(0.4, -57.9)

Step-by-step explanation:

y = 3x³ + 12x² - 10x - 56

dy/dx = 9x² + 24x - 10 = 0

x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)

x = -3.033006505, 0.3663398379

d²y/dx² = 18x + 24

For minima, d²y/dx² > 0 which is at x = 0.3663398379

y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56

y = -57.90544608

You might be interested in

The two angles shown in the figure are supplementary. What is the value of x? 6(x+1) other angle is 48°

wel

6(x+1)+48°=180°
6x+6+48=180
6x+54=180
6x=126
x=21°. Hope it help!

5 0

4 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches

Since, the area of a circle = $\pi r^{2}$

This implies that area of the two circles = $2\times \pi r^{2}$

i.e. Area of the circles = $2\times \pi 2^{2}$

i.e. Area of the circles = $8\pi$

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = $side^{2}$

i.e. Area of the square = $10.5^{2}$

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0

3 years ago

Solve the following permutation. 6P3

victus00 [196]

Here, the answer is 120

4 0

4 years ago

One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percent

gizmo_the_mogwai [7]

They have won 50% of their games.

7 0

3 years ago

I need help plzzzzzzzzzzzz. I need you guys to show work too

Softa [21]

Answer:

Step-by-step explanation:

√(x+3) –4 = 1

√(x+3) = 1 +4

√(x+3) = 5

x + 3 = 5²

x = 25 –3

x = 22

6 0

3 years ago