Answer:
B.) 132.56 degrees
Step-by-step explanation:
Answer:
x - y + 6 = 0
Step-by-step explanation:
In normal form of a straight line, the equation is given by
where p is the perpendicular distance of the line from the origin and
is the angle between the perpendicular line and the positive direction of the x-axis.
Here, in our case
and
Degree,
Therefore, the normal form of the straight line equation is
⇒
⇒
{Since, Cos (180 - Ф) = - Cos Ф and Sin (180 - Ф) = Sin Ф}
⇒
⇒ - x + y = 3√2 × √2 = 6
⇒ x - y + 6 = 0
So, the standard form of the equation is x - y + 6 = 0. (Answer)
Answer:
200
Step-by-step explanation:
Okay, so if t represented each word, then you would have to multiply 50*r.
16 is the answer to this question.
<h3>4
Answers: A, B, C, D</h3>
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Explanation:
f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.
f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.
f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.
--------------------
The conditions to use the integral test have been met. So we have to see if
converges or not.
Let's integrate and find out

So we have

Meaning that,

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression
will turn into 
Therefore,

Because this integral converges, this means the series
also converges as well by the integral test.