Solve: sin2x cosx + cos 2x sin x = √3/2 for 0
1 answer:
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Answer:
Price per television =38.30
Step-by-step explanation:
Number of units sold in one week =230-3x
Price of one unit =x
Total money produced in one week =x(230 - 3x)
(Here it doesn't matter total money is taken for a week or day because after differentiating and equating to zero that factor disappear )
Differentiate total amount with respect to x.
Now equate it equal to zero to get extremum.
230-6x=0
Then, x = 38.30
The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
<h3>What is transformation of a function?</h3>Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
The given function is,
This function is changed to the function,
Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.
Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
Learn more about the transformation of a function here;
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