Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
<u>Answer:</u>
The correct answer option is A. Loss of 9 oz.
<u>Step-by-step explanation:</u>
We are given that a cat's weight change -8 oz. while she was sick. It means that the cat lost 8 ounces of weight.
We are to determine whether which of the given answer options show a greater change in weight.
The correct answer for this is: loss of 9 oz which is a greater loss than 8 oz.
<span>m∠A =73.7°
m∠B = 16.3°
m∠C = 90<span>°</span></span>
Disjoint events are those which do not have any outcome in common. From the given options only option D represents such an event.
Spinning a number less than 4 will result in 1,2 or 3 as outcome. Second event is getting a 6. So these two events do not have anything in common.
Thus, the answer is option D
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
