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
Find the 65th derivative of
-cos(x)
sin(x)
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.
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
Find the third derivative of ln(x4)
First derivative is 4/x second one is -4x-2 third one is 8x-3
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
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
Find Z using the expression below
Z = ((1+2+3+4+…..+ 99 + 100 + 101)/3)
The sum is 5151, Z = 1717
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
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
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)
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)
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
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 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
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
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)
Find Z using the Equation below
28= Z + 15 + 27+26+25+24+23+22
Z = 22+15
Z = -11
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
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
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
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
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
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
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