9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
Hi there!
We can begin by looking at the solid-line pictured in the graph.
Using the slope-formula, we can derive the slope from this line:
Plug in points from the line:
We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:
y ≥ -x + 3
The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:
The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.
Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:
y > 2x - 3
Answer:
Divergent
Step-by-step explanation:
Given series has general term as
n+1 th term =
WE have to check whether this series converges or diverges
Let us use ratio test
Ratio of n+1 th term to nth term
=
by dividing numerator and denominator by n square
Take limits as n tends to infinity
The ratio tends to 2
Since ratio >2, the series diverges
Answer:
Ten times as 8 hundreds is 8 thousands.
Step-by-step explanation:
Ten times as 8 hundreds is 8 thousands.
This can be written mathematically as:
10 times as 800, is 8000.
or, we can multiply these to get the answer.
So, the answer is : Ten times as 8 hundreds is 8 thousands.