The slope of the line is given by the derivative
m = dy/dx = 4x^3 + 2e^x
using the point slope form of a straight line
y - y1 = m(x - x1) where m is the above and (x1,y1) is the point of contact of the tangent we have
y - y1 = (4x^3 + 2e^x)(x - x1) which is equation of the tangent
Answer:
x=4
Step-by-step explanation:
5x + 33 = 18x-30 + 11
Add the numbers
5x + 33 = 18x-19
Subtract 33 from both sides of the equation
5x + 33-33 = 18x-19-33
5x=18x-52
Subtract 18x from both sides of the equation
5x-18x = 18x-52-18x
-13x = -52
-13x/-13 = -52/-13
x=4
Answer:
225 minutes
.................. ......... .........
Step-by-step explanation:
I just answered this.
the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".
you need to pick an apple from the originally "red/green" labeled bag.
since that label is wrong, it must be one of the pure color bags.
so, that bag gets the label for the color that we picked.
now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".
the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.
