Find the exact value of cos(u+v), sin u=8/17 and cos v =-60/61
1 answer:
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Answer:
The equation of the line in the slope-intercept form will be:
- y = -7x
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
From the attached graph, taking two points
- (0, 0)
- (-10, 70)
Finding the slope between (0, 0) and (-10, 70)
Determining the y-intercept:
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear that:
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = -7 and b = 0 in the slope-intercept form
y = mx+b
y = -7x + 0
y = -7x
Therefore, the the equation of the line in slope-intercept form will be:
- y = -7x
I'll assume you're supposed to compute the line integral of over the given path
. By the fundamental theorem of calculus,
so evaluating the integral is as simple as evaluting at the endpoints of
. But first we need to determine
given its gradient.
We have
Differentiating with respect to gives
and we end up with
for some constant . Then the value of the line integral is
.