Calculus
Trigonometry
Statistics
Vectors
Potluck
100

Find f'(x) for the function f(x)=10x2-5x+4

f'(x) = 20x-5

100

Find cosine of angle C if AB is 4 and BC is 3. 


cosC=3/5

100

What is the (edna) mode of this set?

1,2,5,5,5,5,5,5,5,5,5,5,5,5,7,8,9

5 dahling



NO CAPES!!

100

Find AB when

A= (5,2,4)

B=(7,7,7)

AB= (2,5,3)

100

Who came up with a2+b2=c2 ?

Pythagoras. (Pythagorean is not acceptable)

200

Let h(x)=-2sin(5x)

Find h'(x)

h'(x)=-10cos(5x)

200

1) sin 45

2) tan 30

3) cos 60 

4) tan 360

1) 21/2/2

2) 31/2/3

3) 1/2

4) Undefined

200

Here is a data set. 

5, 5.6, 4.4, 7.8, 2.2

What is the mean, range, and median?

Mean: 5

Range: 5.6

Median: 5

200

If AB and CD are orthogonal, find x. 

AB=(-7,x,-7)

CD=(3,3,6)

x=21

200

You flip a fair coin. Which is more likely?

A) HHHH

B) HTHTTT

C) TTTTTTHT

D) HHHHHHTHT

A

300

Let g(x)=ln(x)/x2

x cannot equal 0. 

Find g'(x)

g'(x)=(1-2lnx)/x3

300

BC=17. Angle A is 60. Angle C is 70. Find AB. 


AB=18.446...=18.5

300

A fair dice is rolled 36 times. 

Score: 1 , 2 , 3 , 4 , 5 , 6

Freq:  3 , 5 , 4 , 6 , 10 , 8

What is the median?

What is the standard deviation?

1) Median: 4.5

2) Standard Deviation: 1.61

300

Two ducklings wandered away from their mama. The first duckling's displacement is d1= (12,5). The second duckling's displacement is d2= (13,-8). Numbers are in meters. 

1) How much farther did the second duckling wander?

2) How far apart are the two ducklings?

1) 2.3 m

2) 13 m

300

You have a bag of marbles. There are 30 yellow ones. There are 15 purple ones. There are also 15 orange ones. Find the probability that you pick, without looking, one orange marble, replace it, one purple, replace it, and one yellow. 

1/32

400

Find the equation of both the tangent and the normal to the curve: 

y=(x1/2)(1-x1/2) at the point where x=4.


Tangent: 

y=-3x/4 + 1

Normal: 

y=4x/3 - 22/3

400

Find AC.


AC=337.0526...=337 m

400

{[(Z!Z!* ZZ*(Z+Z+Z+Z+Z+Z+Z)-(Z-Z-Z-Z))!]Z!}Z!

Math makes me sleepy. Everyone gets points!!!!

400

A line L passes through A: (1,-1, 2) and is parallel to the line r=(-2 , 1 , 5) + s(1, 3 , -2). 

What is an equation for L in the form of r=a + tb?

L passes through a point P when t=2.

Find OP. (O is the origin)

r=(1 ,-1, 2) + t(1, 3, -2)

OP=(3 , 5 , -2)

400

Da + (na)x21=?

Batman!!

500

The curve with equation y=Ax + B +Cx-1, x cannot equal 0, has a minimum at P (1,4) and a maximum at Q(-1,0). Find the value of each of the constants of A, B, C. 

A=1

B=2

C=1

500

Find all unknown measurements of unknown sides and angles. If 2 triangles are possible, solve for either. 

AC=0.55. <BAC=62, BC=0.51

1) <ABC=72.2, <ACB=45.8. AB=0.414

2) <ABC=107.8, <ACB=10.2, AB=0.102

500

Mark: 1 , 2 , 3 , 4 , 5 , 6 , 7

Freq: 2 , 4 , 6 , 9 , X , 9 , 4

The mean is 4.5

Find the value of x. Write down the standard deviation. 

X=14

Standard Deviation is 1.54

500

Find the angle between vectors PQ and RS

PQ=(1,6,271/2)

RS=(3,4,561/2)


21.7 degrees

500

If you delete 3,000 emails while under investigation, and it is 4 am, and you are able to delete at a rate of 7 emails a minute, what time will it be when you delete all 3,000 emails?

Approximately 11:30 am

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