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Westkost [7]
2 years ago
12

Expanding triple brackets i will give brainliest!

Mathematics
1 answer:
swat322 years ago
7 0

Answer:

x^{3} -13x^{} -12

Step-by-step explanation:

(x+1) (x−4) (x+3)

= ((x+1)(x−4)) (x+3)

= ((x+1)(x−4)) (x)+((x+1)(x−4)) (3)

= x^{3} -3x^{2} -4x^{} +3x^{2} -9x^{} -12

= x^{3} -13x^{} -12

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HELP FAST FAST FAST FAST RIGHT NWOOWOWOW
Naily [24]
What do you need help with?
7 0
3 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
The square below has a side length of 14 inches. What is the area of the shaded region?
hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0
2 years ago
What is the square root of 5?
shutvik [7]
5 x 5 = 25

answer: 25.
7 0
3 years ago
Read 2 more answers
While on vacation, the Jacobson family drove 312.8 miles the first day, 177.2 miles the second day, and 209 miles the third day.
quester [9]
Literally just add it all up.
312.8+177.2+209=699 miles
8 0
3 years ago
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