The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
(b) When <em>x </em>= 0.6 and q = 0.5 m/s, the speed of the wagon is approximately <u>0.243 m/s</u>.
Reasons:
(a) The distance from the cart to the pulley, <em>r</em> is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon =
The speed of the rope, q =
By chain rule, we have;
Therefore;
(b) The speed of the wagon when <em>x</em> = 0.6 if q = 0.5 m/s is given as follows;
The speed of the wagon when <em>x </em>= 0.6 and q = 0.5 m/s, ≈ <u>0.243 m/s</u>
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brainly.com/question/17081984
X=1/5+2/5√14 or 1/5 + -2/5√14
X intercept = -1, y = 0 (-1, 0)
<span>y intercept = 2, x = 0 (0, 2)
</span>
slope between (-1, 0) and (0, 2):
slope = (2 -0)/(0 - -1) = 2/1 = 2, m = 2
Using point (-1, 0) x₁ = -1, y₁ = 0
y - y₁ = m(x - x₁)
y - 0 = 2*(x - -1)
y = 2(x + 1)
y = 2x + 2
The <em>correct answer</em> is:
interpolating
Explanation:
Interpolation is a method of constructing new data points within the range of a discrete set of known data points.
This would include inserting data points between two known points and extending a data set.
Answer: X = 3t, Y =2 - t, Z =2
Step-by-step explanation: the plane
x + y + z =4has normal vector
M =<1,1,1> and the line
x = 1 + t, y = 2 − t, z = 2t has direction
v =<1, −1, 2>. So the vector
A= n × v
=<1, 1, 1> × <1, −1, 2>
=<2−(−1),1−2,−1−1>
=<3,−1,−2>