Answer:
.
Step-by-step explanation:
The equation of a circle of radius
centered at
is:
.
.
Differentiate implicitly with respect to
to find the slope of tangents to this circle.
![\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B2%7D%20%2B%20y%5E%7B2%7D%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B25%5D)
.
Apply the power rule and the chain rule. Treat
as a function of
,
.
.
.
That is:
.
Solve this equation for
:
.
The slope of the tangent to this circle at point
will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
is the gradient of this line, and
are the coordinates of a point on that line.
For the tangent line in this question:
,
.
The equation of this tangent line will thus be:
.
That simplifies to
.
Answer:
2 a
Step-by-step explanation:
Possible derivation:
d/dx(2 a x + 2 a y)
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + d/dx(2 a y)
The derivative of x is 1:
= d/dx(2 a y) + 1 2 a
The derivative of 2 a y is zero:
= 2 a + 0
Simplify the expression:
Answer: 2 a
Answer:
2 and 14/15
Step-by-step explanation:
Answer:
Asset B generate most benefit.
Step-by-step explanation:
Correlation shows the strength of relation between two variables.
Greater the correlation coefficient greater the strength between two variables.
Since here It is given that Correlation Coefficient between risk reduction and Asset B is higher (i.e. 60%) than the Correlation Coefficient between risk reduction and Asset A (i.e. 40%).
Thus, Asset B generate most benefit.
Answer:
B
Step-by-step explanation:
The options in the question and the number line are shown in the image attached.
From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;
Temperature at 7:00 a.M - Temperature at 1:00 p.M
We can see from the number line that the temperature at 7:00 a.M = -4
Temperature at 1:00 p.M = 16
difference between the two temperatures = ∣(-4) - 16∣ = 20