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dudeper40
28.11.2019 •
Mathematics
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1) (astroid)
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Ответ:
Applying implicit differentiation, the equation of the tangent line is given by:
The equation of a line tangent to a function f(x) at a point
is given by:
In this problem, point
, thus ![x_0 = -3, y_0 = \sqrt{3}](/tpl/images/0394/4311/abc93.png)
The function is:
To find the derivative, we have to apply implicit differentiation, thus:
Thus:
Then, the equation to the line tangent is:
A similar problem is given at link
Ответ:
Answer with Step-by-step explanation:
We are given that an equation of curve
We have to find the equation of tangent line to the given curve at point![(-3\sqrt3,1)](/tpl/images/0394/4311/9f1af.png)
By using implicit differentiation, differentiate w.r.t x
Using formula :![\frac{dx^n}{dx}=nx^{n-1}](/tpl/images/0394/4311/90480.png)
Substitute the value x=![-3\sqrt3,y=1](/tpl/images/0394/4311/b47e0.png)
Then, we get
Slope of tangent=m=![\frac{1}{\sqrt3}](/tpl/images/0394/4311/adaed.png)
Equation of tangent line with slope m and passing through the point
is given by
Substitute the values then we get
The equation of tangent line is given by
This is required equation of tangent line to the given curve at given point.
Ответ:
1.3≈1
Step-by-step explanation:
Expected Value of any scenario is the value that shows what to expect in a statistical analysis of a data presented before the analyser. In this case, to determine the expected value, we independently multiply each probability with its corresponding number of notification and sum up our answers. That is,
Expected value = (0.2 × 0) + (0.4 ×1) + (0.3×2) + (0.1×3) = 0 + 0.4 + 0.6 + 0.3 = 1.3≈1