Math 150
2(5^x)+7=31
ln12/ln5
Expand the following Log(sub 5) (4x(cube rooty)
log(sub 5)4+ log (sub 5)x
Find the midpoint of the line joining (-5,2) and (1,1)
(-2,1.5)
Find all intercepts for y=2x^2+x-10. Foil and set equal to zero, find y-intercept as well.
(-5/2,0) and (2,0) and (0,-10)
Solve the following in equalities in interval notation. 5x^2+3x Greater than equal to 2
(-infinity to -1] U[2/5, infinity)
State the domain of square root(x^2-4)
(-infinity to -2]U [2, infinity)
Let f(x)=x^2-4x. Find f(0) find f(-3) find f(w^5) find (3z) find f(x+h)-f(x)/h
(0)=0 (-3)=21 (w^5)= w^10-4w^5 (3z)= 9z^2-12z f(x+h)-f(x)/h= h+2x-4
Find the graph of the function. Label x-intercepts. Use a sign charge. (x-4)(x+6)(x-4)(x-3)
(Infinity, -6) =Upwards. (-6,3) downwards (3, infinity) upwards.
Write the following complex numbers in standard form. 2+4i/1-3i
-1+i
Convert from degrees to Radians -150 degrees
-5pi/6
Write the following complex numbers in standard form. (2+4i)-(1-3i)
1+7i
to convert from radians to degrees 2pi/3
120 degrees
Write the following complex numbers in standard form. (2+4i)*(1-3i)
14-2i
f(x)=4x+1 and g(x)=x^2-2x+1 g(f(x)
16x^2
f(g(x) if f(x)=4x+1 and g(x)=x^2-2x+1
4x^2-8x+5
Find the circumfrence of a circle with radius 3 ft.
6pi feet
expand the following ln(x^7*w^4)/(z^3)
7lnx+4lnw-3lnz
Find the area of a circle with radius 3 feet.
9pift^2
Determine the following values: A. Cos (-3pi/2) B. Sin (3pi/2) C. Tan(-pi/4) D. Sec (5pi/3) E. Tan (5pi/3) F. Cos 3pi/4 G. Sin (5pi/6)
A. 0 B. -1 C. -1 D. 2 E. - Square root 3 F. -(Square root 2)/2 G. 1/2
Sletch the following -x^2-6x-2.
Center point is -3,7 both sides face downwards.
Consider Theta=4pi over nine radians. Find the Complement, and the supplement
Complement= pi/18 Supplement= 5pi/9
Suppose in a right triange sin(t)=2/5 Find cos(t) cot(t)
Cos(t)= (Square root 21)/5 Cot(t)=Square root twenty one over 2
Graph y=e^x graph ln(x)
e^x (0,1) ln(x) (1,0) and (e,1)
e^2x+2e^x=8
e^x=-4, x=ln2
Find f(x)=5x-3. Find the inverse
x+3/5
Solve for X log(subscript 4) (1/160=x
x=-2
Solve for X Log(base 2)X=-4
x=1/16
Solve for X. Log(sub 8)X=-4/3
x=1/16
ln(x)+ln(x+2)=ln(8)
x=2
Solve for x. Log (sub. 3) 3^6=x
x=6
Solve for X. Log(sub2)x=3
x=8
Solve for X. ln(e^4)=2x-5
x=9/2
ln(x)=4
x=e^4
An equation fo the line joining these two points. (-2,1) and (2,9)
y=2x+5
The length of the arc intercepted by this angle if the radius is 3ft and the angle is 2pi/3s
2pi ft
The area of the sector of the circle that is 3ft radius and 2pi/3 radians
3pi ft^2
Find an equation of the line parallel to 3y-9x+6=0
3x+14
Write the following as a single Natural Logarithm, 5ln(X)+2/5ln(y)-4ln(z)+log(base 5)(1).
Ln(x^5*y^*(2/5)/z^4)
Consider the points (-2,1) and (2,9). Find the slope of the line joining these two points.
M=2
Trig. Identities: sec(x)-cos(x)=sin(x)*tan(x)
Proof: sec(x)-cos(x) 1/cos(x)-cos(x) 1-cos(x)^2/cos sin^2(x)/cos(x) sin(x)*sin(x)/cos(x) sinx*tanx
Trig identities (1+sin(X)).cis + cos/(1+sinx)=2sec(x)
Prove: (1+sin(X)).cis + cos/(1+sinx) 1+2sin+sinx^2+cos^2x/(cosx(1+sinx) 1+2sin(x)+1/(Cos(x))*(1+sinx) 2/cos(x) 2 sec
Consider the distance between (-5,2) and (1,1)
Square root 37
Graph with x-intercepts and use a sign chart. x^2-9/x^2+5x-6
Watch out for asymptotes.
State the domain of (2x+1)/x^2+6x-7
X cannot equal -7 or 1.
State the domain of the given function. Square root (2x+5)
X is less than equal to -5/2
ln(x^2+2x)=ln(8)
X=-4,2
Solve the following in equalities in interval notation. 4x+1/x-2 less than equal to 3.
[-7,2)
