Recall that
d/dx sech(x) = - sech(x) tanh(x)
d/dx tan⁻¹(x) = 1/(1 + x²)
Then by the chain rule,
dy/dx = - sech(x) tanh(x) / (1 + x²)
Answer:
Step-by-step explanation:
a1 = - 2
an = a1 * r^(n - 1)
a6 = -486
-486 = - 2 * r^(6-1) Divide by 2
243 = r^5
The largest value that r could be is 3.
4^5 = 1024
(243)^(1/5) = 3
So the general formula
an = -2*(3)^(n - 1)
Answer:
The correct anser is option
B. 2x + 2 = 18
Step-by-step explanation:
Let the number of hot dogs eaten by the runner up be represented by x
If Dave ate 2 more than twice x, this means that the number eaten by him = 2x + 2
Since the total number of hot dogs eaten by Dave is 18
Therefore, the equation will be
2x + 2 = 18
So the number of hot dogs eaten by the runner-up is determined by solving for x
2x= 18-2
2× = 16
x = 16/2
x = 8
The runner up are 8
While Dave are
2×8 + 2 = 18.
To find the same value as 3 x 1/10 you first have to solve 3 x 1/10
so how to do this is you have to make 3 into a fraction
so to make 3 into a fraction you can put 3 as the numerator and 1 as the denominator
so you multiply

so 3/10 has the same value as 3x1/10
HOPE THIS HELPS!!!
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).