Precalc Final
Solve Rational inequality x^2-5x-6 --------- x+6
(-6,-1) U [6,00)
Solve Rational inequality x^2-5x+6 --------- x+6
(-6,2] U [3,00)
Write the circle equation in Standard form and list center and radius x^2+ Y^2+3x-6y-15=0
(x+3/2)^2+(y-3)^2=16.25 C=(-3/2, 3) r=4.03
Write the circle equation in Standard form and list center and radius x^2+ Y^2-2x+6y+9=0
(x-1)^2+(y+3)^2=1 C= (1,-3) r=1
Write the circle equation in Standard form and list center and radius x^2+ Y^2-10x-6y+25=0
(x-5)^2+(y-3)^2=9 C= (5,3) r=3
Find the exact value for each trig function cos(17pi/6)
-square root(3)/2
Use the addition or subtraction formulas to find the exact value cos(165)
-square root(6)- square root (2)/4
Find the exact value for each trig function cos(17pi/3)
1/2
Find the indicated power using DeMoivre's Theorem (1+i)^14
128(cos 7/2 pi+ isin 7/2 pi) or -128i
The angle of elevation to the top of the pole is 22 degrees from the ground at a distance of 320 ft from the base of the pole. Find the height of the pole to the nearest whole number
129 ft
The angle of elevation to the top of the tree is 15 degrees from the ground at a distance of 500 ft from the base of the tree. Find the height of the tree to the nearest whole number
134 ft
find the degree measure of the following pi/12
15 degrees
find (f of g)(x) for the following f(x)=x^2-2x g(x)= 4x-1
16x^2-16x+3
Find the exact value for each trig function csc(11pi/3)
2 square root(3)/3
Find all the solutions of the equation 2cos^2X-cosx-1=0
2/3 pi+2pi n, 4/3 pi+2pi n
find the degree measure of the following pi/8
22.5 degrees
Find the exact value of sin(2cos^-1 3/5)
24/25
Find the exact value of sin(2cos^-1 4/5)
24/25
Find the indicated power using DeMoivre's Theorem (-1-i )^10
32(cos 25/2 pi +isin 25/2 pi) or 32i
Find the exact value of sin(2cos^-1 24/25)
336/625
Use the addition or subtraction formulas to find the exact value tan(105)
4+2square root (3)/-2
Find the indicated power using DeMoivre's Theorem (1+square root (3) )^12
4906 or 4906(cos20pi+ isin 20pi)
Find the difference quotient, f(a+h)-f(a)/h f(x) 2x^2+4
4a+2h
find (f of g)(x) for the following f(x)=x^2-3x g(x)= 2x-8
4x^2-38x+33 (or 88- I can't read it)
Find the difference quotient, f(a+h)-f(a)/h f(x) 3x^2-8
6a+3h
Find the difference quotient, f(a+h)-f(a)/h f(x) 4x^2-2
8a+4h
find the degree measure of the following pi/20
9 degrees
find (f of g)(x) for the following f(x)=x^2-4x g(x)= 3x-2
9x^2-24x+12
Find the Amplitude, period, and phase shift of the following y=3sin(3x= pi/2)
Amp=3 period= 2pi/3 Ps x=-2/6
Find the Amplitude, period, and phase shift of the following y=3cos(2x= pi/3)
Amp=3 period= pi Ps x=-pi/6
Find the Amplitude, period, and phase shift of the following y=4sin(2x= pi/3)
Amp=4 period= pi Ps x=-pi/6
Solve the triangle A=24.3 a=21.6 C=16.7
B=141 c=12.23 b=15
Solve the triangle A=36 a=8 b=5
B=21.5 C= 122 c=12
Find all vertical and horizontal asymptopes of the function 5-x/x+3
HA=-1 VA=-3
Find all vertical and horizontal asymptopes of the function x-5/3-x
HA=-1 VA=3
Find all vertical and horizontal asymptopes of the function x+5/4-2x
HA=-1/2 VA=2
Is the following a function? x^2+y^2=16
No
Is the following a function? (5,2)(3,1)(4,2)(6,3)
Yes
Is the following a function? y=5x^2
Yes
Is the following a function? y=log(x-4)
Yes
Solve Rational inequality x^2-x-6 --------- x-5
[-2,3] U (5,00)
Find all the solutions of the equation 2sin^2X-3sinx+1=0
pi/2 +2pi n, pi/3 +2pi n
Find all the solutions of the equation 2cos^2X+cosx-1=0
pi/3 +2pi n, 5/3 pi+2pi n
Use the addition or subtraction formulas to find the exact value sin(105)
square root (6) + square root (2)/ 4
find the f^-1(x) for f(x) square root (10-x)
x<10
find the f^-1(x) for f(x) square root (6-x)
x<6
Use algebraic procedures to find the exact solution 2^3x-2 = 3^9x-3
x= 2log2-3log3/3log2-9log3
Use algebraic procedures to find the exact solution 5^x-2 = 3^4x-2
x= 2log5-2log3/log5-4log3
Use algebraic procedures to find the exact solution 8^x-5 = 6^3x-2
x= 5log8-2log6/log8-3log6
Find all solutions x^4-10x+9=0
x=-3,-1,3,1
Find all solutions x^4-13x+36=0
x=-3,-2,3,2
Find all solutions x^4-25x+144=0
x=-3,-4,3,4
Solve 5/x+2 + 1/x^2+7x+10 = 3/-x-5
x=-4
Use algebraic procedures to find the exact solution log(base4) (x-3)+ log (base 4) x=1
x=4
Solve 2/x-3 - 4/x+3 = 8/x^2-9
x=5
Use algebraic procedures to find the exact solution log(base3) (x-8)+ log (base 3) x=2
x=9
find the f^-1(x) for f(x) square root (x+3)
x>-3
Find the standard form equation of the ellipse with the following characteristics foci ( + or - 6, 0) and a major axis length of 20
x^2/ 100 + y^2/84= 1
Find the standard form equation of the ellipse with the following characteristics foci ( + or - 4, 0) and a major axis length of 15
x^2/ 56.25 + y^2/16= 1
Solve 10/2y+8 - 7y+8/y^2-16 = -8/2y-8
y=6
Find the standard form equation of the ellipse with the following characteristics foci (0, + or - 5) and a minor axis length of 8
y^2/ 4 + x^2/16= 1
