+ y = -1 ⇒ y =
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope
by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
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y = 4 +
⇒ y =
+ 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
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You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
(1- cos2x) dx
= x - 1/2 sin2x + c
= x - 1/2 ( 2*sinx cosx) +c
= x - ((sinx) (cosx)) +c
The correct answer for the given mathematics question above would be f < g. The interval wherein the value of (f-g)(x) is negative is f < g. A function is negative on intervals when the graph line lies below the x-axis. On the other hand, a function is positive on intervals when the graph line lies above the x-axis.