One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
Answer:
Step 1. Perimeter P means adding up all three sides of a triangle.
Step 2. Then P=s+s+s=3s where s is the length of the side of the equilateral triangle.
Step 3. ANSWER: Perimeter P=3s.
I hope the above steps and explanation were helpful.
Step-by-step explanation:
HOPE THIS HELPS
Y-y1= m(x-x1) point-slope form
y-0= -3(x-5)
solve this point-slope form to slope-intercept form. Use the information to graph the line.
Answer:
160 in ^2
Step-by-step explanation:
First we need to find the area of each shape and add them together
1. Triangles:
The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches
2. The Rectangles
<u>The Big Rectangle:</u>
The big rectangle is just <em>l x w </em> or 5 * 20 which is 100
<u>The small rectangle:</u>
To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.
3.Add them together
20 + 100 + 40 = 160 inches ^2
Hope this helps!!!
Answer:
Where is the graph?
Step-by-step explanation: