Complete Question:
The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.
Answer:
Step-by-step explanation:
Given
Shape: Parallelogram DGRY
Dimension:
Required
Find the measure of each angle
D and R are opposite sides & G and Y are also opposite sides.
So, we have:
and
The sum of angles is given as:
Substitute values for
Take LCM
Multiply both sides by
So:
Hence:
The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)
x(t) = (1-t)0 + t×2 = 2t
y(t) = (1-t)0 + t×3 = 3t
z(t) = (1-t)0 + t×4 = 4t
Finding its derivative;
x'(t) = 2
y'(t) = 3
z'(t) = 4
The line integral is given by:
After solving the integration over the limit 0 to 1, we will get;
or
= 73037.99 ≈ 73038
Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)
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