Pre Calculus
21,589 results, page 9

PreCalculus
How to solve sin(x/2) = 1  cos x? I know you would use the half angle identity sin(x/2) = +(√1  cos x/2), just don't know what to do from there. 
PreCalculus
Write the following expression as the sine, cosine or tangent of an angle. cos 3x cos 2y + sin 3x sin 2y 
PreCalculus
Im having trouble with this. Find an equation of the tangent line to the parabola at the given point and find the xintercept of the line. x^2=2y (4,8) 
pre calculus
were doing sum and difference identities tan (225 degrees+60 degrees) i got to the part where its 1+radical 3/1radical 3 ..now what? 
PreCalculusTrig
A road rises 140 feet per horizontal mile. What angle does the road make with the horizontal? 
PreCalculus
Determine whether the equation represents y as a function of x. y = 4  x If I plug in 5, then I get 1, but it also means 1. Does that mean y has 2 values which means that it is not a function? 
pre cal
The given equation is a partial answer to a calculus problem. Solve the equation for the symbol y'. 6y2y' − y − xy' = x y' = 
Precalculus
Find the first two terms of a geometric sequence if t_3+ t_4 = 50 and t_4 + t_5 =100? t3= a(r^2) t4= a(r^3) t5= a(r^4) a(r^2)+ a(r^4)= 100  a(r^3)+ a(r^4) = 50 ar^3  = 2 ar^2 r = 2 < 
PRE  CALCULUS
A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work. Sn: 2+5+8+...+(3n1)=n(1+3n)/2 
PreCalculus
suppose y is directly proportional to x. if y=6 when x=4, find the constant of proportionality and write the formula for y as function of x. Use your formula to find x when y=8. 
pre calculus
in the equation (x4)^2+y^2=16 the letters x and y represent rectangular coordinates. Write the equivalent equation using polar coordinates. solve for r 
PreCalculus
Why is the graph of Y=2LNx "half" of the graph of Y=LN(x squared)? Perhaps I don't know what you mean by "half" 2ln(x) is the same as ln(x^2) 
precalculus
a pasture is twice as long as it is wide. Its area is 115,200 ft square. How wide is the pasture 
Pre Calculus
(secx)/(tanx)+(cscx)/(cotx)=secx+cscx Please help me verify this trigonometric identity. 
Pre calculus
For the most part, will a law of cosines always be one triangle? As in one triangle to solve? 
PRE  CALCULUS
Evaluate the radical expressions or indicate that the root is not a real number. 3sqrt4^3 A. 64 B. 4 C. 4 D. not a real number B? 
Pre calculus
Find the value for sin(theta), cos(2 theta)=3/4 and 270 degrees<0<360 degrees 
Precalculus
Which of the following series is divergent? a) 1+3(1/4)+9(1/4)^2+27(1/4)^3... b) 1+3(1/5)+9(1/5)^2+27(1/5)^3... c) 1+3(1/7)+9(1/7)^2+27(1/7)^3... d) 1+3(1/2)+9(1/2)^2+27(1/2)^3... How do you determine if a series in convergent or divergent??? The book that I have is about as ... 
High School Pre Calculus
This is probably really easy but I am confused. #1 Find the domain and graph the function: f(x)= sq root x1 #2 Graph the function g(x)=(x + 3)^3 
precalculus
information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i 
pre calculus
For a given right triangle, side a = 400 feet and side b = 900 feet.What is the measure of angle A to the nearest degree? 
pre calculus
For a given right triangle, side a = 400 feet and side b = 900 feet. What is the measure of angle B to the nearest degree? 
pre calculus
For a given right triangle, side a = 490 feet and side b = 960 feet. What is the measure of angle B to the nearest degree? 
Precalculus
Convert from DMS to Radians 1)61degree 24' 2) 75degree 30' Convert from Radians to Degrees 1) 2 2) 1.3 Please Help me, just tell me how to solve them and do it in the calculator. 
pre calculus
consider the functions f(x)=x^33 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all. 
Pre calculus
Solve for all values between zero and 360 degrees. cos(theta42 degrees)=1 What is the general solution and what is the solution???? 
Pre Calculus
Find each product or quotient. Express the result in rectangular form. 2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3) 
PreCalculus
Find this quotient. Express the result in rectangular form. 9(cos3π/2 + isin3π/2) ÷ 3(cosπ/4 + isinπ/4) 
pre  CALCULUS
Find the reference angle for the given angle. Show your work. 404° my answer is 44 degree , But i don't know how to put my work together.. 
pre  CALCULUS
Begin by graphing the standard absolute value function f(x) =  x . Then use transformations of this graph to describe the graph the given function. h(x) = 2  x  + 2 
pre  CALCULUS
Begin by graphing the standard absolute value function f(x) =  x . Then use transformations of this graph to describe the graph the given function. h(x) = 2  x  + 2 
Pre Calculus
16. Use a calculator to find a value for ln16.1 to four decimal places. a. 2.7788 b. –2.7788 c. –1.2068 d. 5.0814 e. 1.2068 
pre calculus
ea + bi = ea(cos b + i sin b) This formula gives rise to the equation eπi + 1 = 0. . Show how Euler’s formula can be used to derive this equation. 
Precalculus
Hi, How do I simplify and state the restrictions on the following: 12x^8y^9 / 3x^4y^6 what do I need to factor out? I'm so confused, I never know what I'm allowed to factor out. 
Precalculus
Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i 
Pre Calculus
Determine all discontinuities that exist on the graph of y = f(x) shown below. Please show your reasoning by justifying your answer with the conditions of continuity. If there is a discontinuity, identify it as removable or nonremovable. 
precalculus
how do uu find the x int. , y int. , domain range asymtote of this equation y=log to the base 10 (2x+3/x5) pleaseee need to understand before the test tmr!!!! No one has answered this question yet. 
Pre Calculus
Solve 2cos^2(2x)=1 I divided both sides by 2 and got this cos^2(2x)=1/2 But then I didn't know what to do after that... The part that has me stumped is that it's a cos^2(2x) not just a cos^2x. Any advice on what I should try next? 
Precalculuscheck answer
If cot theta =0.85, find tan theta. Answer: 1.176 
Help! Math (precalculus)
Oy! I don't understand this! How do you calculate the domain and range of these? What's the domain and range of each? a. f(x)= 1/x=3 b. g(x)= [square root of] (x+6) c. h(x)= x^3+2x+5 Thanks for help!:) 
precalculus
find the inverse of the following function. Find the domain, range, and asymptotes of each function. f(x)=3+1n(x+2) 
PreCalculus 11
What is the entire radial form of 3* cube root of 2? I go cube root of 54 as my answer but it is wrong 
Precalculus
Find the equation of the locus of the point which moves so that its distance from the point (2,0) is 2/3 its distance from the line y=5. 
Precalculus
The graph of [r = 5/(2 cos \theta + sin \theta)] is a line. Find the yintercept of this line. 
Precalculus
The graph of [r = 5/(2 cos \theta + sin \theta)] is a line. Find the yintercept of this line. 
PreCalculus
I transfered classes and they use graphing calculators. I've never used the graphing functions on mine. We were supposed to graph exponetial functions. Help? 
Precalculusck answer
how many different ways can the letters in the word SOCIAL be arranged if the letter C must be directly followed by the letter I? Answer: 720 
PreCalculus
A piece of plexiglass is in the shape of a semicircle with radius 2m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass? 
math pre calculus
Let A=(2,INF] and B=(2,INF). FIND: a.)AUB b.)A (UPSIDE DOWN "U")B c.)A\B d)B\A *I was thinking a was (2,inf), b was (1,2), c was (1,1) and d was (2,inf) but i don't think that is right since i don't have a U in the answers. 
Precalculus
A sailboat leaves port and sails for 7 miles NE and then 9 miles NW. If the speed remains constant, what bearing would take the sailboat home? 
Precalculus...
How do you remove the 2 pi in this problem? csc 19pi/4 remove 2 pi > (8pi/4) > 11pi/4 > 3pi/4 >> i really don't know how do they the 2 pi twice so it would become 8pi. Please help me! 
PreCalculus
I really need help on this question Simplify the expression by using a DoubleAngle formula or a HalfAngle Formula cos^2 0/2sin^2 0/2 
Pre Calculus
Use a calculator to find the value for log0.94769 to four decimal places. a. –0.0536 b. –0.9767 c. 0.9767 d. 0.0232 e. –0.0232 
pre calculus
Find all of the solutions of the equation x4625i=0 and represent the solutions graphically. what is the next step to answer the question? (x^225√i)(x^2+25√i) (x5∜i)(x+5∜i)(x5∜i i)(x+5∜i i) i = 1 cis π/2 ∜i = ∜1 cis π/8 
precalculus
A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w? a. A = 36w  w2 b. A = 18w  w2 c. A = 36  w2 d. A = 18  w2 
Precalculus
Write a function for the surface are of a cylindrical cans (12 oz) in terms of the radius. Show your work (no height in this function) Graph of the function found and label the x and y axis with an appropriate scale. 
PreCalculus
What is the present value of a $1000 bond which pays $50 a year for 10 years, starting one year from now? Assume interest rate is 6% per year, compounded annually 
Precalculus
I want to make sure this is right. the inverse of f(x)=(3x+2)/(2x1) I got f^1(x)=(x2)/(2x3). if its right how do i check the answer to see if it is right. also would the domain of f be D=all real numbers except 1/2. And I do not know how to get the range for f^1 
Math (pre calculus)
State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x 
Pre Calculus
Approximate, to the nearest 0.01 radian, all angles theta in the interval [0,2pi) that satisfy the equation. a.) sin theta=0.0135 b.) cot theta=2.731 Thank you for helping! I appreciate it! 
precalculus
Graph the polar equation: 2=r cos(theta + 180) 2=r(costheta cos180+sintheta sin180) 2=r(1/2costheta +pi+ pi sintheta) 2=1/2rcostheta + pi rsintheta 2=1/2x+ pi y 4=x+ pi 0= x + pi4 how do i graph? 
PreCalculus
cos^2(x) + sin(x) = 1  Find all solutions in the interval [0, 2pi) I got pi/2 but the answer says {0, pi/2, pi} Where does 0 and pi come from for solutions? When simplifying I just get sin(x)=1 
Pre Calculus
Exponential growth and decay find the half life of a radioactive substance if 220 grams of the substance decays to 200 grams in 4 years? 
PreCalculus
Sketch the graph f(x)=2x^2(x5)^3(x+2)^4. What would be my coordinates. I solved it and my graph looks nothing like the one on wolframalpha. Can someone show me how you would solve this? 
PreCalculus
Sketch the graph f(x)=2x^2(x5)^3(x+2)^4. What would be my coordinates. I solved it and my graph looks nothing like the one on wolframalpha. Can someone show me how you would solve this? 
precalculus
Please diregard the other one the square root sign did not come out right. find the complete function f o g f(x)=x^2+1;g(x)= square root x4 
PreCalculus
Find a solution to the equation if possible. Give the answer in exact form and in decimal form rounded to three decimal places. 1=21tan(2x+2)6 
PreCalculus
From the top of a 300ft lighthouse, the angle of depression to a ship in the ocean is 28°. How far is the ship from the base of the lighthouse? (Round your answer to the nearest foot.) 
PreCalculus
Help Please Solve the following system of equations. Round your answers to the nearest tenth. Your answer will be in the form: (M,N). Find M + N, rounded to the nearest tenth. 5x+2y=7 2x+6y=9 
Pre calculus
at an archaeological site remains of plant material will found to have 28.9% of the amount of carbon14 in a living sample. What was the approximate age of the plant material? 
Pre Calculus
Let θ be an angle in quadrant IV such that cosθ = 4/9. Find the exact values of csc θ and cot θ. I am just completely lost! Thanks! 
PreCalculus
Solve the system by the substitution method. Show your work. 2y  x = 5 x2 + y2  25 = 0 I solved the problem but I got it wrong for some reason..can you solve it step by step? 
PreCalculus
Point B is 12 km north of point A. Point C is 9 km from point B on a bearing of 060°. Find the distance from A to C. 
PreCalculus
Find the difference quotient usingF(x)f(1)/x1 1. f(x)=3x+2 Given F(x) =2x Find f(x+🔼x) f(x)/🔼 x 
pre calculus
Sn= 2n^2+5n IS THE SUM OF THE FIRST N TERMS OF AN ARITHMETIC SERIES. determine first 3 terms 
Calculus Pre Test Questions Monday Part 4
After t minutes of growth, a certain bacterial culture has a mass, in grams, of M(t) =t^2. a. How much does the bacterial culture grow during the time 3<t<3.01? b. What is its average rate of growth during the time interval 3<t... 
Calculus Pre Test Questions Monday Part 4
After t minutes of growth, a certain bacterial culture has a mass, in grams, of M(t) =t^2. a. How much does the bacterial culture grow during the time 3<t<3.01? b. What is its average rate of growth during the time interval 3<t... 
precalculus
Also with calculator, graph f(x), and determine all the possible maxima/minima coordinates to within two decimal points. f(x)=x^3+2x^2x2/x^2+x6 i did this and got my answers but i doubt they are right, can anyone get the answers if you have a TI8384 please? thank you. 
precalculus
If San Francisco Giants homerun king, Barry Bonds, hit a baseball due west with a speed of 50.0 m/s, and the ball encountered a wind that blew it north at 5.00 m/s, what was the resultant velocity of the baseball? 
PreCalculus
Solve the equation 2x + 5y  3z = 1. Write the general solution as a matrix equation. I did some guessing and ended up getting this much: [x]= [1/2 _ _ ] X [1] [y]= [ 0 1 0 ] X [s] [z]= [ 0 0 1 ] X [t] however I still can't figure out the last two values in the first row 
Precalculuscheck answers
Choose the statement that is true for the graph f(x) =x^312x. Answer: f(x) decreases for x >2 2) Which type of critical point, if any, is present in the graph of f(x)=(x4)^5+1 Answer: none 
PreCalculus
Find the rectangular equation of the curve whose parametric equations are x=2sin t and y=cos t, where 0 less than or equal to tis less than or equal to 2pi. How do I do this??? Thanks for all of your help!! 
PreCalculus
A road sign at the top of a mountain indicates that for the next 4 miles the grade is 12%. Find the angle of the grade and the change in elevation for a car descending the mountain. 
precalculus
form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: 1, 2, and 12i. I got an exam tomorrow, i would appreciate any kind of help, thank you. 
PreCalculus
Could you please explain how to use a matrix (matrices) to solve a system of linear equations (two variables)? My book doesn't explain it in a way I can understand. Please and thank you. 
pre calculus
The minute hand and the hour hand of a clock have lengths inches and inches, respectively. Determine the distance between the tips of the hands at 10:00 in terms of and m h. 
PreCalculus
Use a graphing utility to graph the function y = d + a sin (bx  c) for different values of a, b, c, and d. Write a paragraph describing the changes in the graph corresponding to changes in each constant. 
Precalculus
I have a really basic question. Say I have a rational expression and my numerator is 4xy. Am I allowed to factor out just the x or just the y? For example y(4x)? 
Pre Calculus
Simplify 2(3i^14) (5i^23) 3i Simplify: (53i)^2 16+30i Simplify (3+2i) / (45i) (2/41)(23/41)i is this right? 
precalculus
which of the following is a solution to 3tan^3x=tanx? A.) 60 degrees B.) 120 degrees c.)150 degrees D.)240 degrees E.)300 degrees 
Pre Calculus
Determine the quadrant in which a 130° angle lies. a. 4th quadrant b. 1st quadrant c. 3rd quadrant d. 2nd quadrant 
college precalculus
An investment of $4000 is deposited into an account in which interest is compounded monthly. Complete the table by filling in the amounts to which the investment grows at the indicated times. (Round your answers to the nearest cent.) r = 4% 
PreCalculus
How to solve this problem by using logarithm: David inherits $10000 and invests in a Guaranteed Investment Certificate (GIC) that earns 6%, compounded semiannually. How long will it take for the GIC to be worth $11000. 
precalculus
What is the base of the function F(x) = b to the power of x if the graph has points of (1/3, 2)and another off the subject one if g(x)= log 7 x what is g(1/49)? If F(x) = 2 when x = 1/3, and if the fucntio is of the form F(x) = b^x, then 2 = b^(1/3) Cube both sides of the ... 
precalculus
I am having trouble with trigenometric identities I cannot figure it out for example sin³x+sin²xcos²x, could I get the steps to figure it out? And also how to do the equations and proving of trid id's. Please help. Thank you 
math(PreCalculus)
Evaluate the difference quotient F(x)= (x+h)f(x)  H A.) f(x)= 3x 1 so far i have done this f(x+h) = 3(x+h)1 b.) f(x)=2X^2 + 3X i have done this f(x+h)= 2(x+h)+3(x+h) im not sure if my answers are right.. just need some advice if they are wrong and explain what i ... 
PreCalculus
I'm having problems solving this and showing the steps: Find the absolute maximum and absolute minimum, if either exists, for y = f(x)= x^3  12x + 12 3 less equal to x greater than equal to 5 
Precalculus
An airplane has an airspeed of 150 km/hr. It is to make a flight in a direction of 70 degrees while there is a 25 km/hr wind from 340 degrees. What will the airplane's actual heading be? Please Explain this Problem to me!!!! 
PreCalculus
State the domain and range of the relation y = 2x + 3 My answer: y= 2x+3 y= 2(1)+3=5 domain: 1 range: 5 This is how my book showed me how to do it. I just wanted to make sure I did it right. If not could you please give me an example? 
PreCalculus
convert to the alternate form to exponential form. a) 5^4=625 b) e^x=y c) log.001=x I really need help on these problems i have no idea how to do it? pls help me i need to study for it on my exam.