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max2010maxim [7]
3 years ago
10

find the values of x between 0 and 2pi where the tangent line to the graph of y=sinxcosx is horizontal.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0
  <span>y = sin x + cos x 

the tangent will be horizontal when the derivative is 0 

y ' = cos x - sin x 
0 = cos x - sin x 
sin x = cos x 
tan x = 1 
this happens when x = pi/4 or 5pi/4 

y(pi/4) = sqrt(2) / 2 + sqrt(2) / 2 = sqrt(2) 
y(5pi/4) = -sqrt(2) / 2 + -sqrt(2) / 2 = -sqrt(2) 

the two points are: (pi/4 , srqt(2)) and (5pi/4 , -srqt(2))

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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Answer:

208 cm^2

Step-by-step explanation:

We can find the area of the net by adding up the area of each of the 6 rectangles that make up the net. Since two of each rectangle are the same, we only have to find the area of the 3 different sized rectangles and multiply each by 2.

Rectangle pairs are:

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Now, let's solve the question.

Left rectangle:

6 x 4 = 24, rectangle has area of 24 squared cm

Top rectangle:

6 x 8 = 48, rectangle has area of 48 squared cm

Bottom rectangle:

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Add up the areas:

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Vera_Pavlovna [14]

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whenever you divide or multiply an inequality by a negative it is a rule that you must reverse the inequality symbol

so -c > -4 means you must divide or multiply by a negative one to get 'c' by itself; therefore it becomes c < 4

6 0
2 years ago
You are graphing y &lt; 2x + 1. What type of line do you use and where do you shade?
bazaltina [42]
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Since y is isolated and we have a less than sign, this means we shade below the dashed/dotted boundary line. Specifically, the boundary line is the graph of y = 2x+1. This boundary line goes through (0,1) and (1,3). Again, points on this boundary line are NOT part of the solution set. 

So in summary we have:
A dashed or dotted boundary line
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3 years ago
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1808.64

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1808.64

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