Answer:
(4-1)
I think not for sure
Step-by-step explanation:
Question:
Find the point (,) on the curve that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:
Step-by-step explanation:
can be represented as:
Substitute for
So, next:
Calculate the distance between and
Distance is calculated as:
So:
Evaluate all exponents
Rewrite as:
Differentiate using chain rule:
Let
So:
Chain Rule:
Substitute:
Next, is to minimize (by equating d' to 0)
Cross Multiply
Solve for x
Substitute in
Split
Rationalize
Hence:
First term, a
1
=4
Second term, a
2
=8
Common difference, d=a
2
=a
1
d=8−4=4
∴ The common difference is 4
Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
=======================================================
Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
Answer:
-2.86 , -0.37 , 0.19 , 0.91 , 1.46
Step-by-step explanation: