(a)
We have been given an equation 
. Upon taking derivative of this equation with respect to x on both the sides, we get:
(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:
Therefore, equation of tangent line is:
(c)
We know that slope of tangent is given as 
. The tangent will be vertical when denominator of slope is zero, that is:
Answer:
Option D
Explanation:
If Aggregate Demand happens to shift to the right that means the "consumer spending has increased" or option D. In this type of demand when it shifts to the right that means the buyer wants more of it and the demand for it increases while if the Aggregate demand shifts to the left that means they'res a decrease in demand for your product.
Hope this helps.
The probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%. And the events are mutually exclusive.
<h3>What is the
addition rule of size for two subsets?</h3>
For two subsets A and B of the universal set U, we have:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
The probability of a new york teenager owning a skateboard is 0.37, of owning a bicycle is 0.36, and of owning both is 0.27.
Then the probability of the teenager owning a skateboard or a bicycle will be
P(A ∪ B) = 0.37 + 0.36 - 0.27
P(A ∪ B) = 0.73 - 0.27
P(A ∪ B) = 0.46
Thus, the probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%.
The events are mutually exclusive.
Learn more about the addition rule for two subsets here:
brainly.com/question/27496136
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Synonyms for the word externality could be: face, area, level, side, skin, top, etc.
