Battle of the Math Nerds

Ruby's Math Review

100

Differentiate. f(x) = ((5 x +4)/(x - 4))^5

f'(x)= ((-120)(5x+4)^4)/(x-4)^6 ​​

200

Find the limit of X=sin2x/x as x approaches 0

2.0000

300

Find the absolute extrema of the​ function, if they​ exist, over the indicated interval. Also indicate the​ x-value at which each extremum occurs. If no interval is​ specified, use the real​ numbers, ​(-∞​,∞​). f(x)= -6x^3+ 3x^2 +4x -1

The absolute maximum is 11/9 at x=2/3 and there is no absolute minimum.

400

Use right and left endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. f(x)= 2x^2 -x -1 [2,5] 6 rectangles

Left endpoints: Area = 55 Right endpoints: Area = 74.5 55< Area <74.5

500

https://docs.google.com/document/d/1722uCp8Il6GdTXWeTT-1-3VRJrRVvNt_RoavqHDw41k/edit

https://docs.google.com/document/d/1722uCp8Il6GdTXWeTT-1-3VRJrRVvNt_RoavqHDw41k/edit

Natalie's Math Review

100

5 + square root of (x+7)= x

x = 9

200

solve lnx-ln(x-4)=ln3

x=6

300

solve x+6y+3z=4 2x+y+2z=3 3x-2y+z=0

x=4, y=-1, z=-2

400

solve x^2 + y^2 = 10 2x+y=1

(9/5, -13/5) (-1,3)

500

graph (x^2+x-2)/(x^2+5x+6)

see natalie

Mental Math

100

16x4=

64

200

1570x8921=

14005970

300

square root of 400

20

400

38285/589=

65

500

14^3=

2744

Math in the Bible

100

(Sons of Jacob) multiplied by (Jesus’s disciples)

144

200

(Number of fish caught by Simon Peter in miraculous catch) plus (days of creation)

159

300

Name the concept is commonly know as "three in one"

The Holy Trinity

400

“The temple that King Solomon built for the Lord was sixty cubits long, twenty wide, and thirty high. The portico at the front of the main hall of the temple extended to the width of the temple, and then projected ten cubits from the front of the temple” (1 Kings 6:2-3) How big was the temple?

362,000

500

((Number of Psalms) + (tribes of Israel)) / (number of gifts brought to Jesus by the wise men)

54

Riddle Math

100

What 3 positive numbers give the same result when multiplied and added together?

1, 2, and 3

200

How can you add eight 8's to get the number 1,000? (only use addition)

888 + 88 + 8 + 8 + 8 = 1,000

300

In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

4

400

A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?

11 cartons

500

Write as much of pi as you can

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148