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3 years ago

I will give brainlisted for the correct answer and also 20 points!

Mathematics

1 answer:

madreJ [45]3 years ago

5 0

Answer:

Hey I think you should chck out wicapida

Step-by-step explanation:

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Find the distance, in feet, a particle travels in its first 2 seconds of travel, if it moves according to the velocity equation

just olya [345]

Answer:

The particle will travel 6 feet in first 2 seconds.

Step-by-step explanation:

We have been given that a particle moves according to the velocity equation $v(t)= 6t^2-18t+12$ . We are asked to find the distance that the particle will travel in its first 2 seconds.

$s(t)=\int |v(t)|dt$

$s(t)=\int\limits^2_0 |6t^2-18t+12|dt$

Now, we will eliminate the absolute value sign as:

$s(t)=\int\limits^1_0 6t^2-18t+12dt+\int\limits^2_1 -6t^2+18t-12dt$

$s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1$

$s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1$

$s(2)=2(1)^3-9(1)^2+12(1)-(2(0)^3-9(0)^2+12(0))-2(2)^3+9(2)^2-12(2)-(-2(1)^3+9(1)^2-12(1))$

$s(2)=2-9+12-(0)-16+36-24-(-2+9-12)$

$s(2)=5-(0)-4-(-5)$

$s(2)=5-4+5$

$s(2)=6$

Therefore, the particle will travel 6 feet in first 2 seconds.

7 0

3 years ago

How do you solve (4x)2/3

pishuonlain [190]

3.1 Solve : 4x2+3 = 0. Subtract 3 from both sides of the equation : 4x2 = -3. Divide both sides of the equation by 4: x2 = -3/4 = -0.750. When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get: x = ± √ -3/4. In Math, i is called the imaginary unit. It satisfies i 2 =-1.

4 0

3 years ago

Find the surface area of the cone. Use 3.14 for

Natalija [7]

Answer:

A = 467.99

Step-by-step explanation:

A = 25.12 (8 + √49 + 64)

A = 25.12 (8 + √113)

A = 25.12 (8 + 10.63)

A = 25.12 (18.63)

A = 467.99