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)