# Pre- Calculus

21,396 results, page 99

### Math

The letters in the words ALGEBRA, GEOMETRY, and CALCULUS are represented by the sets V= {A, L, G, E, B, R}, W= {G, E, O, M, E, T, R, Y}, and X={C, A, L, U, S}, respectively. I don't understand this can someone help?

### calculus

Consider the following function. f(x) = (6 − x)e^−x (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x,y)=( , )

### calculus

in your own words, describe how limits can be used to find the instantaneous rate of change of a function.

### Calculus

find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis

### Calculus

Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis

### calculus

Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1

### calculus

Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=6/θ, θ=π

### calculus

If x = 18cos^3θ and y = 18sin^3θ, ﬁnd the total length of the curve swept out by the point (x,y) as θ ranges from 0 to 2π.

### calculus

Evaluate the double integral ∫∫ y dA over D, where D is the top half of the disk with center the origin and radius 5?

### Calculus

shiw that line tangents to an ellipse at the points P makes equal angle will the joining focus

### Calculus

Differentiate and simplify as much as possible. Cube root(5z+6/-9z+3). The answer should be y'= (23(-9z+23)^2/3)/9(3z-1)^2(5z+6)^2/3) So far, I'm stuck at y'=[23/3(5z+6)(3z+1)][((5z+6)^1/3)/((-9z+3)^1/3)]

### pre cal

The vector u = 94300, 5200) gives the number of units of two models of laptops produced by a company. The vector v = (1800, 1200) gives the price in dollars of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%

### Algebra

Hello. It's the beginning of the school year, and I've quite forgotten what I learned in Pre-Algebra...The question in the text book is this : Simplify each pair of expressions. 1. 36 - 8 ÷ 2 (36 - 8) ÷ 2 There are several problems like the one above. Under the same set of ...

### pre calc

Sam Bordner can dig his garden in 4 hours end Elsie Bordner takes the same amount of time. After working together for an hour, their son Gregory helps them finish in just 30 minutes. How long would it have taken gregory to dig the garden by himself? Can someone help me form an...

### Pre Calc still confused

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both of those answers for x...

### Trig/Pre-Calc

Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4x-log4(x-1)=1/2 To start off the equation, I know you would do the ...

### Pre-Cal

This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2008. How long, to the nearest year, will it take an investment in Germany(4.3%) to triple its value if the interest ...

### pre algerbra

if 150 is subtracted from 7 times a number ,the result is the same as when 250 is subtracted from 3 times the number. what would be the result if 100 were added to to 6 times the number

1. Find a polynomial with a zero at 3 and a zero of multiplicity 2 at -1. My answer: x^3 - x^2 - 5x - 3 = 0 2. Find the zeros and multiplicities of f(x) = x^5 - 16x^4 + 64x^3. My answer: x = 0 of multiplicity 3 and x = 8 of multiplicity 2.

### pre cal

Use identities to simplify each expression. sin(x)+cos^2(x)/sin(x) = ? tan^3(x)−sec^2(x)tan(x)/cot(−x) = ? sin^4(x)−cos^4(x) =?

### chemistry

How do I find out how many ml of NaOH i need to titrate H3PO4. I used the ice table to knock off the two protons but im using a .2200M NaOH and do not Know how to determine the volume needed before hand. In other words i need some pre-calculations for volume of titrate needed ...

### Pre Cal/Vectors

Can someone show the steps involved in figuring out this type of problem? Given the magnitudes of vectors u and v and the angle Ό between them, find the magnitude of the sum u + v to the nearest tenth and the angle that the sum vector makes with u to the nearest degree. /...

### pre-algebra

a local newspaper can be ordered for delivery on weekdays or sundays. a weekday paper is 35 cents and the sunday edition is \$1.50. the stadles ordered delivery of the weekday papers.the month of march had 23 weekdays and april had 20. how mach should the carrier charge the ...

### Pre-Cal

Evaluate the following. Show you work: A). tan^-1(tan(5π/6)) B). cos^-1(cos(-π/4)) Can someone please show me the steps to evaluating this problem. I've been working this for 2 hours today and all of last night, I still can't seem to figure it out. Please leave notes...

### PRE-CALC

I am given the rational function: f(x)= (x^3 - 1) / (x^2 - 4) I found that the domain is all real numbers except x= plus or minus 2 , I also found that the x intercept is x=1, however I do not get how to find: the y-intercet , or identify the Horizontal, vertical or slant ...

### Pre-Calc

Can anyone direct me to learn more about polar coordinates. I'm in online college course and really am confused. In high school, I never heard of polar coordinates. Like they say is the following the graph of point (3,15) and show it on polar grid-I don't get it at all. Please...

### Geometry

Triangle UVW is the pre-image of triangle RST with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2.

### pre algebra

a 28 foot flagpole cast a shadow 95 feet long. a nearby person cast a shadow 17.5 feet long. how tall is this person

### pre cal

f as a function of x is equal to the square root of quantity 5 x plus 7, g as a function of x is equal to the square root of quantity 5 x minus 7 Find (f + g)(x) Please Help

### math, pre- statistics

Hospital records indicated that maternity patients stayed in the hospital for a number of days shown in the distribution Days Stayed Frequency 1 34 2 23 3 17 4 11 5 8 If a patient's records are selected calculate the probability of each event. A patient stay exactly 3 days.(...

### pre-calc

"An open gift box is to be made from a square piece of material by cutting 2 centimeter squares from each corner and turning up the sides. The volume of the finished gift box is to be 200 cubic centimeters. Find the size of the original piece of material." The sides of the box...

### pre calc

EAch of 3 circles touch the other 2. Circle A=radius 8cm Circle B=radius 4cm Circle c=radius 1cm A triangle is formed by connecting the centers of the 3 traingles. Determine the largest angle for the traingle and which circle is the largest angle? Also what is the area? Please...

### Pre Algebra

In Wilbur's math class, his grade is based on the average score of six tests, each worth 100 points. Wilbur always worries about his grade. He knows that his average on the first four tests is 88.5. What is the lowest average he could get on his next two tests and still ...

### pre algebra

Reiny can you please help with these 3 problem. 1. a1=-4;an-1-3 this is find the first five terms of the recursively defined sequence. Problem 2 and 3 is write the first terms of the explicitly defined sequence an=4n+2. problem 3 an=2(-3)n-1

### Math: Pre Cal

f(x) = {−8 if −3 ≤ x ≤ 0 {x if 0 < x ≤ 3 Evaluate the given expressions. a)f(-1)= b)f(0)= (^Teach how to do this.) What is the formula? a)(−8)*(x > −3)*(x >= 0) + (x)*(x <= 0)*(x > 3) b)(−8)*(x >= −3)*(x &...

### Pre-Algebra

which of the following describes a situation in which a data set with a low mean absolute deviation is preferable? A. a car dealership sells cars at different prices B. a factory manufactures computers of different sizes and shapes. C. a food processing plant fills each can ...

### Pre-Cal (Trig) Help?

The following relationship is known to be true for two angles A and B: cos(A)cos(B)-sin(A)sin(B)=0.957269 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. So I'm pretty lost on how to even begin this problem. I do know ...

### Pre Calc

I already asked this question and had some help, but I am still confused on a piece of it. I'm not sure what differentiate is. I understand how you got a and b, but I am confused with c. What is differentiate and how did you get the equation dA/dx = 72 - 6x^2 Question: Here I ...

### english

For the Unit 1 Discussion Board assignment, you will: (1) select a topic from the list below, (2) develop a thesis statement from your topic selection and post your writing strategies for developing your thesis, (3) explore the features of the MyCompLab and summarize your ...

### pre calc

The population of a colony of mosquitoes grows exponentially according to the function P(t) = P0ekt 1. If there are 1,000 mosquitoes initially and there are 1800 after 1 day, what is the size of the colony after 3 days? 2. How long will it take the colony to reach 10,000 ...

### HEALTH CARE FINANCIAL ACCOUNTING

The local school district has asked your clinic to submit a proposal to do pre-employment physicals for 60 bus drivers. What financial or accounting information do you need to submit the proposal? What will you charge the school district?

### pre algerbra

susan bought a 6 month \$1,700 certificate of deposit.At the end of six months she received \$63 simple interest. what annual rate of interest did the certificate pay? In a year then it would be 2 times \$63 So \$1700 times the rate of interest (we will call it X) will equal the ...

### English Technical writing pre-law

I am writing a mini appellant brief and I have to suport why a university is not liable for the harassment of its two employees a male and female. The female was harassed by another employee by sexual comments the male was harassed by a hostile work enviornment. My question is...

### Pre-Calc

A company that produces portable cassette players estimates that the profit P (in dollars) for selling a particular model is P=-76x^3+4830x^2-320000, 0 is less than or equal to x is less than or equal to 50, where x is the ad expense (in tens of thousands of dollars). using ...

Hi, I really need some help with scientific notation. How do I convert large numbers like 108,000,000 and other numbers that are even larger than this to scientific notation? This is for a math project and even though I learned about this, it's still hard for me to understand ...

1. what are the type of comparison and contrast essay? 2. what are the ways to revise your paragraph in a comparison and contrast essay? 3. define of historical cause and effect essay? 4. comparison and contrast about pre-writing, drafting, revising, editing and proof and ...

### pre-algebra

Write the equation of this situation: the value,v, in hundreds of dollars of Debbie's coin collection is 10 dollars more than 1/2 of the age, t (in years). Then determine the value of Debbie's coin collection of it is 8 years old. Please show all of your work.

### Pre Calc

A bus trip of 90 miles would have taken an hour less if the usual average speed had been increased by 3 miles per hour. Find the usual average speed of the bus.

### math pre calc

at the pittsburch zoo, children ride a train for 25 cents, adults pay \$1 and seniors pay .75. on a given day, 1400 passengers paid a total of \$740 for the rides. there were 250 more children riders than adults and senior riders combined.find the nu,ber of each type of rider. ...

### Pre-Cal

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = −1/2 1).θ= Answer-->(2π/3)+2πn, 4π/3+2πn 2). List six specific solutions a). b). ...

### Pre Calc

tan(x)=5 sin(x) for interval -π < x < π A) 0, 1.571 B) -1.571, 0, 1.571 C) -1.369, 0, 1.369 D) 0, 1.369

### pre algebra

the equation d=1.2 radical h , gives the distance ,d, in miles a person can see to the horizen from a hieght ,h, in feet.( hint: 1 mile =5,280 ft. A) solve the eqaution for h . B)longs peak in the longs national parkis 14,255 feet in elevation . How far can you see the horizen...

### Pre-Cal

Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes? A.650.66 miles B.1,160 miles C.1,301 miles

### Pre Algebra

If I blink 22 times in 10 seconds, how many times would I blink in 1,000,000 seconds. Need an algebraic or? expression to show my calculation. I have an answer of 2,200,000 blinks in 1,000,000 seconds

### Pre-Cal

An airplane's velocity with respect to the air is 580 miles per hour, and it is heading N 60 degrees W. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 miles per hour. What is the true direction of the plane, and what is its speed woth ...

### Pre AP Chemistry

If I have a 1200 gram sample of a soft drink and it contains 180 grams of sugar, the percentage by mass of the sugar in the drink is 15%. If the sugar in the drink is sucrose (C12H22O11), how many grams of pure carbon can be obtained from decomposing all of the sugar in the ...

### Physics Pre-Ap

014 (part 1 of 2) You drop a stone from a position of rest. How far will it fall vertically in the ﬁrst 2 s? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m 015 (part 2 of 2) If you instead toss it horizontally at 2.7 m/s, how far will it fall vertically...

### Pre-Calc

A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 24...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9 ◦ from the horizontal. The ...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9◦ from the horizontal. The ...

### Pre-Ap Physics

To win the game, a place kicker must kick a football from a point 17 m (18.5912 yd) from the goal, and the ball must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 15 m/s at an angle of 58.9 ◦ from the horizontal. The ...

### Pre-Cal

Perform the multiplication and use the fundamental identities to simplify. (cotx + cscx)(cotx-cscx) I know that you have to foil first so cot^2x - csc^2x and then use the pythagorean identity 1+cot^2u = csc^2u but I do not know how to simplify.

### calculus

If y is a differentiable function of x, then the slope of the tangent to the curve xy - 2y + 4y^2 = 6 at the point where y=1 is ...... How do I do this? Thanks. xy - 2y + 4y^2 = 6 ---> d[xy - 2y + 4y^2] = 0 ---> xdy + ydx - 2dy + 8ydy = 0 ---> (x + 8y - 2)dy/dx = -y...

### Calculus (easy)

h t t p : / / img . photobucket . c o m / albums / v166 / stuffy1 / Mathhwforjonrevisedwithoutnotes . j p g Nix the spaces! Figured myself. It was A.

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### Calculus

Instructions were evaluate the integral. (x/1-x^4) dx I know that this form is the tanh inverse 1/1-x^2 but not sure how to substitute and start this problem. Please Help.

### calculus

dy/dx=(1+Lnx)y and if y=1 when x=1, then y=? i know i have to find the integral by multiplying dx to the other side and bringing y to left. and i got Ln(y)+ C = x + 1/x + C what do i do next. ln(y)=x+1/x+c e^(ln(y))=e^(x+1/x+c), so y= e^(x+1/x+c) y= Ce^(x+1/x)

### Calculus Help!!!

Find an equation for the tangent and normal to the curve x^2+y^2=9 at x=1 Do you have to simplify the problem to get y on one side. or is your u=x^2 v=y^2 du=2x dv=2y if so then what next?

### Calculus

An equation of the line tangent to the graph of y=(2x+3)/(3x-2) at the point (1,5) is...do I take the derivative of y=(2x+3)/(3x-2) to find the slope and then plug that into y-5=m(x-1)?

### Calculus

If M is 30% of Q, Q is 20% of P, and N is 25% of P, then M/N equals which of the following? (a) 3/250 (b) 3/25 (c) 1 (d) 6/5 (e) 4/3 When I do this problem I keep getting 6/25, but that is not one of the choices. Any help would be greatly appreciated.

### Calculus

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5

### math calculus

Find the are under the given curve y=square root of x + 1 from x=0 to x=9 Please walk me through each step.

### calculus

how to take the integral of cos(square root of x) dx. need to use substitution and integration by parts but I don't know what to substitute

### Calculus

I'm having trouble with this one. Problem: Find the equations for the planes parallel to x+2y-2z=1 and two units away from it.

### calculus

Find the total distance traveled by the particle moving along a straight line with velocity v=sinpit for 0<t<2.

### calculus

test the series for convergence or divergence. the sum from n=1 to infinity of ((-1)^n*e^n)/(n^3) I said it converges because the derivative of (1/n^3) is decreasing is this true?

### Calculus

Let f(x)=9sinx/2sinx+4cosx Then f'(x)=________ . The equation of the tangent line to y=f(x) at a= pi/2 can be written in the form y=mx+b where m= _____and b=_____

### Calculus

Solve the first-order initial value problem using half angle formulas {y'(x)= 1 + sin^2 x y (0)= -7

### Calculus

I am having a lot of trouble doing these types of problems. Can someone show me how to do this. Thank you for your time. Evaluate the definite integral 4 x(x+3)dx 0

### Calculus

Use the quotient rule to find f'(x): f(x) = [(x+4)(x-5)]/[2x(x+3)] For the first part...do I put them together? Can someone please complete this.

### Math:Calculus

Determine vector and parametric equations for the plane containing the point P0(1, -2, 3) and having direction vectors a= (4, -2, 5) and b = (-3, 3, 7). Thanks for the help.

### Summer School Calculus

Not sure of this: Describe three situations in which you may want to know the projection of one vector onto another. Merci for the help!

### Calculus

I need help with this problem: Let f(x)= sqrt(x-3) and g(x)=(x^2)+1 a. Compute g(f(x)) b. State the domain of g(f(x)) in interval notation. I got x-2 for a, but i do not understand b. Help please

### Calculus

Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the x-axis.

### Calculus

Find a formula for the following function. A parabola opening downward with its vertex at (6,1) and y -intercept equal to -35. (y-1)^2=4(-35)(x-6) Please help

### calculus

find the following derivatives: f(x) = (2x+5)/(x^2-3) f'(x)= (2)*(x^2 -3)-(2x+5)*2x/(x^2-3)^2 is that correct??? f(x)= (lnx)(cos x) f'(x)= 1/x*-sinx or do i have to use the product rule?? thank you.

### calculus

find solution to differential equation given the initial conditions DQ/dt=Q/5 Q= 50 when t= 0 i don't understand this one because of the division sign.

### Calculus

Here's another one - I think that I am starting to understand it. Find dy/dx by implicit differentiation: x^7 = cot y My answer is csc^2y / 7x^6

### calculus

use limit process. find area of region between graph y= -3x + 20 and the x-axis ove the interval [0,5]

### Calculus

Use integration by parts to find the given integral: ∫_9^1 (7t - 42)e^(7 - t) = [-28(1 + e^8)] / e^2 Is my answer correct? or... is it.. = -70e^(-2) + 14e^6

### calculus

f(x)= 7-5x^4 How would find the the absolute max and the x value? I think you have to take the derivative which is -20x^3 but then I am lost??

### Calculus

I am having a mental block. I have the answer to the question. It is (-‡,‡). I just need help figuring it out. The equation is: x^2+1>0

### Calculus

[Linear Approximations and Differentials] I tripled checked my work but I'm still not getting the correct answer. y=3x^2 x=3 & delta x =0.2 I get 3(3.2)^2 - 3(3) = 21.72

### Calculus (trig stuff)

How do I do these type of problems find the exact value. Do not use a calculator cos 7pi

### Calculus

Another volume problem...My given curves are y=1+x^2 and y=9-x^2, rotated about the line x=-1. Am I solving in terms of y for the integral? And are my bounds -2 to 2?

### calculus

How large does N have to be in order to approximate the integral of cos(x^2) from 0 to 1, using the Midpoint Rule, with error at most 10^(-6)?

### Calculus

Could you please help me with this question: Determine the values of x so that the tangent to the function (y=3/cubic root of x) is parallel to the line x+16y+3=0 Thank you

### calculus

What would be the force required to push a 100 lb. object along a ramp that is inclined 10 degrees with the horizontal?

### calculus

Find an equation of the plane orthogonal to the line (x,y,z)=(-4,-9,9)+t(-8,-1,5) which passes through the point (-9,9,-4). Give your answer in the form ax+by+cz=d.

### Calculus

Verify that the volume of a cylinder of radius r and height h is given be the formula v= pi*r^2*h using cylindrical shell method.