When x=-1:
Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?
The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.
From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4
and solve for x'.
Hope that helps!
Answer:
False
Step-by-step explanation:
X = 5 goes to two different values of y so it is not a one to one correspondence. This is a relation not a function.
Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let 
denotes the length of the side opposite to the 
acute angle, and 
be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be 
.
There's a shortcut to the answer. Notice that 
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship 
holds for all acute angles? (That is, 
?) It turns out that:
Answer:
¾
Step-by-step explanation:
More than 3: 9
P(more than 3) = 9/12 = ¾
