LEAD the DEAL
Read the Sines
Did You Miss the Z's?
Average Problems
Don't Calc on it
100

Find the value of  L+E+A+D using the equations below

D = E - 5

E = A – 6

A = 2(E-1)

L = 6D + 1

D = 3

E = 8

A = 14

L = 19

The Sum of these is 44

100

Find the 65th derivative of 

-cos(x)

sin(x)

100

Find Z using the expression below

30 = 5-3+2+8-9-6+7-1+4+Z

5-3+2+8-9-6+7-1+4 = 7, 7 + Z = 30 Z = 23.

100

Find the average of all terms in the set below

{6, 9, -3, 5, 1, 8, -2, 14, 7, 15}

Sum is 60 average is 6

100

Find the third derivative of ln(x4)

First derivative is 4/x second one is -4x-2 third one is 8x-3

200

Find the value of  -(L*E*A*D) using the equation below

D = 3A -1

E = - (L+4)

A = E + 2

D = 4E

D = 20

E = 5

A = 7

L = -9

DEAL is -6300

-DEAL is 6300

200

Find p using the equation below. All measures are in degrees.

p=cos(60)-cos(180)+cos(270)-cos(120)+cos(240)


p = ½ -(-1) + 0 – (-1/2) + (-1/2) = 3/2

200

Find Z using the expression below

Z = ((1+2+3+4+…..+ 99 + 100 + 101)/3)

The sum is 5151, Z = 1717

200

Find the weighted average using the table below

Number, Weight

20, .15

5, .2

8, .25

40, .3

110, .1

Multiply each value by the weight to get 3+1+2+12+11 = 29

200

Integrate f(x) from 0 to 2, where f(x) = x3 + 6x2 + 20x + 5

This is (x^4)/4 + 2x^3 +10x^2 + 5x this is 0 when evaluated at 0 and when evaluated at 2 is 70

16/4 + 8*2 + 4*10 +5*2 = 4+16+40+10 = 70

300

Find the value of L*E*(A-D) using the equations below

D = A – 1

E = 4L + 1

A = E - 7

3L = D + 1

D = 17

E = 25

A = 18

L = 6

 300 = L*E*(A-D)

300

Find the third derivative of f(x), f(x) =  ln(sec(x))

First one = (1/sec(x))*sec(x)*tan(x) = tan(x)

Second one = sec^2(x)

Third one = 2sec(x) * tan(x)*sec(x) = 2*tan(x)*sec^2(x)

300

Z = P + Q + R + S where P and Q are the X and Y coordinates of the maximum of f(x) respectively. R and S are the X and Y coordinates of the minimum of g(x) respectively.

F(x) = -x2-8x+20

 G(x) = x2+10x+24  

F(x) = -(x-2)(x+10) and has a maximum of (-4,36)

G(x) = (x+4)(x+6)  and has a minimum of (-5,-1)

When summed the result is 26

300

Find the average value of g(x) form x = -2 to x = 0. g(x) is equal to the tangent line of f(x) when x = 0 where f(x) =x3-5x2 + 30x - 20



Slope of tangent line is 30 y intercept of tangent line is -20 y = 30x-20 is our tangent line

Integrate form to get 15x^2 – 20x and that is 0 when evaluated at 0 and 100 when evaluated at -2 so our average value is  -50.

300

300 pts Find the second derivative of

x6+4x5+5x4-2x3+3x2-4x1/2

First one is 6x5 + 20x4 + 20x3 -6x2 + 6x – 2x-1/2

Second one is 30x4 + 80x3 + 60x2 – 12x + 6 + x-3/2

400

 Find the value of D+E+A+L using the equations below.

L = E + 2

E = D + 5

L = 2D – 11

D = 4A + 2

L = 25

E = 23

A = 4

D = 18

L+E+A+D = 70

400

Find the third derivative of f(x), f(x) =  sin(x)*cos(x)

first derivative -sin^2(x) + cos^2(x)  = 2cos^2(x)-1

Second derivative = -4 cos(x)*sin(x)

Third derivative =  -4cos^2(x) + 4sin^2(x)

400

Find Z using the Equation below

28= Z + 15 + 27+26+25+24+23+22

Z = 22+15

Z = -11

400

A fair six-sided dice is rolled 100 times and the results are given in the table below.

# Rolled, Times it was rolled

1, 16

2, 15

3, 15

4, 19

5, 17

6, 18

Find the sample mean number rolled .

Sum is 360 average is 3.6

400

Integrate f(x) from 0 to 4 f(x) = x3+6x2-4x+x-1/2+5

This is  (x^4)/4 + 2x^3 – 2x^2 + 2x^(1/2) +5x

Evaluate at 4 to get 184 evaluate at 0 to get 0 our answer is 184

500

Find the value of D*E*A*L

L = 5-E

E = 1-A

A = 8+D

D = 2-L

L = 7

E = -2

A = 3

D = -5

DEAL is 210

500

Find q using the equation below all angles are in degrees


q=sec(60)-cot(225)-sin(30)+cos(120)-sec(240)+csc(90)-sin(150)+tan(45)

q = 2- 1 - 1/2 + (- ½) + 2 + 1 -1/2 + 1 = 7/2

500

Find Z using the equation below where i is the imaginary number

Z = 10i10+9i64-14i60+6i6-50i104+11i34

Z = (10*-1) + (9*1) – (14*1) + (6*-1) – (50*1) – (11*-1) =

-10 + 9 -14 – 6 -50 - 11 = 9 – 91 = - 82

500

Find the average value of of f(x) where f(x) = 10x4+2x3-9x2 form x = -2 to x = 2

Antiderivative = 2x^5 + (x^4)/2 - 3x^3

value at -2 is -32 value at +2 = 48

 the total area is 80 and the average value is 20

500

Find the line that is parallel to the tangent line of f(x) at x = 4, and passes though the point at (5,9) where f(x) = x4-30x3+140x2-400x+384.

(give your answer in the form of y = mx + b or this will be counted wrong)

The derivative is 4x3 -90x2 + 280x – 400

Plug in at x = 4 to get 4*4^3 – 90*16 +280*4 -400 = 464

Point slope y = 464(x-5) + 9

Multiply by -5 to get 4320 then add 9 to get our slope intercept that is y =  464x-2311

M
e
n
u