The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.
<h3>What is the significance of "Area under the curve"?</h3>
This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.
<h3>What is the justification for the above answer?</h3>
Area = 
= 
= e¹-(1/2-0); or
Area = e -1.5 Squared Unit
The related Graph is attached accordingly.
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The statement above is true. Polar equations indeed can describe graphs as functions, even if when the equations in the rectangular coordinate system are not one of the functions. Polar equations can be graphed accurately using hands by using the Polar Coordinate System.
Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
Answer:
The ratio of the amount for swordfish to the amount of salmon is 6:4
Step-by-step explanation:
Given as :
The price for 1 pound of swordfish = The price of 1.5 pound of salmon
So, On this relation
The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon
i.e The price for 2 pound of swordfish = The price of 3 pound of salmon
Now According to question
Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39
Let the money she pay for swordfish = 2 sw
And The money she pay for salmon = 3 sa
∵, The total money she pay for both = $ 39
I.e 2 sw + 3 sa = 39
As 2 sw = 3 sa
So, 3 sa + 3 sa = 39
Or, 6 sa = 39
or, sa =
= 
∴ sw =
× 
or, sw = 
Now, the ratio of the amount for swordfish to the amount of salmon = 
I.e The ratio = 
Hence The ratio of the amount for swordfish to the amount of salmon is 6:4
Answer