Pre calc final review
Find the domain of the function f(y)=square root of 9-y squared
-3 < y < 3
Evaluate the indicated function for f(x)=x squared-5 and g(x)= x+9
-32
Given vectors u= {-2, -3} and v= {4, -4} determine the quantity indicated below -4u(3v)
-48
Simplify (3-6i) squared-(3+6i) squared
-72i
Use a double angle formula to rewrite the following expression -16sin(x)cos(x)
-8sin(2x)
Simplify the given expression algebraically Cos(pi+x)
-cosx
Find the zeros of the function below algebraically if any exist F(x)=25x cubed-60x squared+36x
0 and 6/5
Solve the equation below algebraically round result to three decimal places 3+lnx/x squared=0
0.050
Solve the logarithmic equation below algebraically Log6(2x+4)=log6(5x+1)
1
Solve the exponential equation below e2x+3ex-18=0
1.099
Approximate arctan (3) round to 4 decimal places
1.2490
Identify the x intercept of the function y=3+log4x
1/64
Use a double angle formula to find the exact value of cos 2u when sin u= 8/17 where u is between pi/2 and pi
Cos 2u= 161/289
Find the exact value of cos (u+v) given that sin u=5/13 and cos v= -4/5 (both u and v are in quadrant 2)
Cos(u+v)=33/65
Determine the exact value of cos theta when cos theta= 5/13 and cot theta < 0
Csc theta= -13/12
If sin x=1/2 and cos x= root 3/2 evaluate the following function
Csc x= 2
Find the inverse function of f F(x)=x to the 5+5
F -1(x)=(5th root x-5)
Determine an equation that may be represented by the graph shown below (downward squiggle)
F(x)= -(x+1) cubed-2
Determine the equations of any horizontal and vertical asymptotes if f(x)=x squared/ x squared+16
Horizontal: y=1 vertical: none
Submarine word problem d= 65 meters theta=70 degrees.
L=69 meters
Solve the following equation 3csc squared(x)-4=0
Pi/3+pi n, 2pi/3+pi n, where n is an integer
Solve the multi angle equation below Sin(2x)= root 3/2
Pi/6+ n pie, pi/3+ n pi, where n is an integer
Evaluate the trigonometric function and round the answer to 4 decimal places Tan 1.7
Pi/7
Write an algebraic expression that is equivalent to tan (arccos 3x)
Root 1-9x squared/3x
Use the figure below to determine the exact value of the given function Sin 2theta Right triangle with sides of 2 and 3
Sin 2theta= 12/13
Given the equation below determine two solutions such that 0 degrees is less than or equal to theta which is less than 360 degrees Sin theta= - root 3/2
Theta= 240 degrees, 300 degrees
Determine the zeros if any of the rational function F(x)=x squared-64/x+5
X= -8, x=8
Solve the following equation Tan x- root 3=0
X= pi/3+ n pi, where n is an integer
Find all solutions of the following equation in the interval [0, 2pi) Csc squared x= cotx+1
X= pi/4, pi/2, 5pi/4, 3pi/2
Find the exact solutions of the given equation in the interval [0, 2pi) 2sin squared x+ sinx=1
X= pi/6, 5pi/6, 3pi/2
Determine which x value below is a solution of the equation log7(5/3x)=3
X=1029/5
Which equation does not represent y as a function of x
X=6
Write the slope intercept form of the equation of the line through the given point perpendicular to the given line Point: (-4,7) line: -5x-15y= -6
Y=3x+19
Find the slope intercept form of the line passing through (-1,-6) (0, -2)
Y=4x-2
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms
lnx-1/3ln(x to the 5-2)
Find the vector v that has a magnitude of 4 and is in the same direction as u where u= {-5, -3}
V= {-20/ root 34, -12/ root 34}
Given A= 52 degrees, B= 65 degrees, and a= 7.1 use the law of sines to solve the triangle for the value of b
b= 8.17
Rewrite the logarithm log4 25 in natural log
ln25/ln4
In the following triangle A= 58 degrees, b= 105, and a=126 use the law of sines to find the measure of angle C in degrees
77.03 degrees
Determine the domain of g(x)=1/x squared -49
(-infinity, -7)U(-7,7)U(7, infinity)
Find fog F(x)=3x-2 g(x)=x-5
(Fog)(x)= 3x-17
Find fog f(x)=x+2 g(x)=5/x squared -4
(Fog)(x)=2x squared-3/x squared-4
Find the point (x,y) on the unit circle corresponding to t=11pi/6
(root 3/2, -1/2)
Simplify (-4+I)(4-5i) and write the answer is standard form
-11+24i
Find all real values of x such that f(x)=0
-2/3
Write an algebraic expression that is equivalent to sin (arctan x/9)
x/ root of x squared+81
Let u = {6,5} and v= {12,7} find u-v
{-6, -2}
Use a calculator to evaluate the trigonometric function. Round answer to 4 decimal places Sec(-5pi/8)
-2.6131
Find the exact value of lne 2.5-ln square root e
2
Find the vector v that has a magnitude of 6 and is in the sane direction as u, where u= {-6, -5}
V= {-36/root 61, -30/root 61}
Find the component form of vector v with initial point (-5,1) and terminal point (-3, -2)
V= {2, -3}
Use long division to divide (x cubed+3x+x+3)/(x+3)
X squared+1
Find all zeros of the function f(x)=(x+6)(x+3i)(x-3i)
X= -6, -3i, 3i
Find exponential model y=ae bx X: 0 1 Y: 5 10
Y=5e 0.693x
Rewrite the angle 2pi/3 radians in degree measure
120 degrees
Find the exact value of sec (arctan 8/15)
17/15
Determine two coterminal angles (positive and negative) for theta=5pi/6
17pi/6, -7pi/6
Solve the equation f(x)=g(x) algebraically F(x)=lne3x-9 G(x)=x-5
2
Given a= 5, b= 9, and c= 12 use Heron's área formula to find the area of triangle ABC
20.40 sq. Units
Simplify 4+3i/5+2i and write the answer is standard form
26/29+7/29i
A triangular parcel of And has sides of lengths 100, 580, and 600 feet approximate the area of the land
28,800 ft squared
Rewrite the given angle in radian measure as a multiple of pi 72 degrees
2pi/5
Expand the expression below and use fundamental trigonometric identities to simplify (Sin(w)+ cos(w)) squared
2sin(w)cos(w)+1
Rewrite the logarithmic equation log4 1/16=-2 in exponential form
4 to the -2=1/16
Given a= 12, b= 8, and c= 11 use the law of cosines to solve the triangle for the value of B
40.42 degrees
Determine a pair of angles (positive and negative) in degree measure coterminal to 117 degrees
477 degrees, -243 degrees
Find the reference angle theta prime for the given angle theta Theta=312 degrees
48 degrees
Find the values of x for which f(x)=g(x)
5,-1
Find the compliment of pi/7
5pi/14
Use the trigonometric substitutions=8sec(theta) to write the expression root x squared -64 as a trigonometric function of theta where theta is between 0 and pi/2
8tan(theta)
Determine the domain of f(x)= 6x+6/x squared-6x
All real numbers except x=0 and x=6
Describe the right hand and the left hand behavior of the graph of t(x)=-4/7(x cubed+5x squared+8x+1)
Because the degree is odd and the leading coefficient is negative the graph rises to the left and falls to the right
Use the graph of f(x)=x squared to write an equation for the function whose graph is shown (upward parabola)
F(x)=1/2(x+1) squared-2
Find a fifth degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one
F(x)=x squared-10x cubed+9x
Determine an equation that may be represented by the graph below (v shape going up)
F(x)=|x+1|+1
Evaluate the tangent of the angle without using a calculator -120 degrees
Root 3
Write the given expression as the sins of an angle Sin 85 degrees cos 50 degrees+ sin 50 degrees cos 85 degrees
Sin(135 degrees)