Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:
Since dx/dt=−2, we have that:
When y = π/4, x is given by:
xcos(y) = 2.
Hence:
Since cot(pi/4) = 1, we have that:
Which means that option a is correct.
More can be learned about implicit differentiation at brainly.com/question/25608353
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The correct answer is choice C. Here is the reason. If you substitute the information into the formula this is what it would be:
A = bh/2
13 = x (6x + 1)/2
13 = (6x^2 + x)/2
26 = 6x^2 + x
0 = 6x^2 + x - 26
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
5 times 2x + 5 times 10
10x+50
Answer:
X > 43
Step-by-step explanation:
The inequality is given by :
X + 24 > 67
We need to solve the inequality.
Subtract 24 from both sides of the inequality.
X + 24 -24 > 67 - 24
X > 43
So, the solution of the inequality is more than 43.
