1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
Answer:
27.3 yards
Step-by-step explanation:
Since this triangle is a right triangle, this can be solved using the equation:
a^2 + b^2 = c^2
c^2 is the side opposite to the right angle (37)
So, you need to change the equation to where it is set equal to b^2.
Subtract a^2 on both sides.
b^2 = c^2 - a^2
Now, plug in the numbers you have.
b^2 = 37^2 - 25^2
Simplify.
b^2 = 1369 - 625
b^2 = 744
Now, to find b, take the square root of 744.
√744 = 27.3
The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is
.
<h3>What is the value of a vector with respect to another vector?</h3>
First, we need to determine the value of the vector u by subtracting two vectors whose <em>initial</em> points are at the origin:

(1)
According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:
(2)
Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.

The correct form of vector v expressed as a <em>linear</em> combination of the <em>unit</em> vectors i and j is
.
<h3>Remark</h3>
The statement presents typing mistakes, correct form is shown below:
<em>Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?</em>
To learn more on vectors: brainly.com/question/13322477
#SPJ1
Answer:
12
Step-by-step explanation:
84 divided by 7=24 minutes
If one ratio is equivalent to another, that means that you multiply the top and the bottom on one ratio by a constant to get the larger ratio. D does that here for us. We have to multiply 3 by 5 to get to 15, so 16 times 5 better be 80 and it is.