# Pre- Calculus

21,228 results, page 81

### Calculus

Find the magnitude and direction angle of p=42i+35j

### Calculus-derivatives

At what points on the graph of f(x)=6x^2+4x-9 is the slope of the tangent line -2?

### Calculus

Given k(p) = |p|+4, find the average value of this function on the interval from -4 to 4. I get 6.

### Calculus II

If {an} (a sequence) is decreasing and an > 0 for all n, then {an} is convergent. True/False?

### Calculus

Find the derivative of the integral from x^3 to 5 of cosk/(k^2+2). My answer is ((-cos(x^3)(3x^2))/(x^6+2).

### calculus

dt/dx= ((x^2+a^2)^(1/2))/v1+((b^2+d^2)^(1/2))/v1 the function dt/dx has a zero at a unique x on (0,d). Use this to justify your discovery that d= (x^2+a^2)^(1/2) + (b^2+d^2)^(1/2)

### Calculus Antiderivatives

Find a function whose derivative is a constant k

### calculus

dy/dt = 2y^(1/2) y(0)= 2 What is Euler's method for computing yk+1 from yk with step size delta t when yo= 10

### Calculus

Find the derivative of the function y=S 10(t)^1/2 sin(t)dt y'=? S=integration symbol b=x^3 a=(x)^1/2

### Calculus

find the area of the region bounded by the graphs of y=x^2 and y=cos(x)

### calculus

Find a Cartesian equation for the curve and identify it. (r^2)cos(2θ)=1

### Calculus

Compute the absolute and relative errors in using x to approximate x. x=pi; c=3.18

### calculus

Find the area of the region enclosed by the parametric equation x = t^3−3t y = 6t^2.

### Calculus I'm really confused

solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.

### calculus

Q.NO.1: Show that the function z=ln(x^2 + y^2)+2tan^-1(y/x) satisfies Laplace’s equation. (∂^2z/∂x^2)+(∂^2z/∂y^2)=0

### calculus

Q.N0.2: Show that u(x,y)=ln(x^2 + y^2) and v(x,y)=2tan^-1(y/x) satisfy Cauchy-Riemann equations (∂u/∂x)=(∂v/∂y) and (∂u/∂y)=(-∂v/∂x)

### calculus

Find the radius of convergence, R,and the interval, I, of the series. starting n=1 [(x-4)^n]/(n^n)

### calculus

Evaluate the indefinite integral as an infinite series. [cos(x)-1]/x dx

### The Inspection Process

In some states, real estate agents are legally required to A. back up the claims their clents make about home conditions. B. appraise the values of the properties they sell. C. hire home inspectors to perform pre0sale inspections. D. pay the fees the pre-sale home inspection.

### The Inspection Process

In some states, real estate agents are legally required to A. back up the claims their clents make about home conditions. B. appraise the values of the properties they sell. C. hire home inspectors to perform pre0sale inspections. D. pay the fees the pre-sale home inspection.

### math- last time then i'm giving up

im sorry but this problem is part of a major grade i have in my pre-ap algerbrea 2 class.... ummm... okay lxl <--these are going to be absolute value bars. 1. Solve lax+bl <or equal to c for x in terms of a, b, and c where a>0 and c>0 2. Now solve lax+bl >or ...

### Pre-Algebra Math

A bank teller is counting his money and notices that he has an equal number of tens and twenties. He also had $147 in other bills. If the total value of the bills he has is $1,167, how many tens and twenties does he have What would be the equation in algebra?

### pre-algebra

Use an inequality to solve the problem. A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to the zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign?

### Pre calc quick question

if a problem says f(x)=square root x^2-16; x less than or equal to -4. Find domain and range. to do this i set up the equation like x^2-16 less than or equal to -4. However by doing this I am runnning into complications findng domain and range. Am i doing it wrong can someone ...

### MATH: Pre-Cal/Trig

The length of a rectangular flower garden is 6 more feet than its width. A walkway 3 feet wide surrounds the outside of the garden. The total area of the walkway itself is 288 square feet. Find the dimensions of the garden.

### Pre-cal

I'm supposed to graph y= 4+2sin (pi/6 t -pi/5) i have the vertical shift d=4 amplitude 2 level line y=4 crest line y=6 trough line y=2 but i am not sure what the period is formula for period 2pi/b in this case 2pi/pi/6 => 12pi/pi do the pi's cancel, leaving the period at 12...

### pre calc

The number N of bacteria in a culture at time t (in hours) grows exponentially according to the function N(t) = 1000e^0.01t. 1.What is the population after 4 hours? 2.When will the number of bacteria reach 1700? 3. When will the number of bacteria double? Please help and show ...

### Pre-algebra

If m is the number of minutes a taxi ride lasts, then 2 + 0.35m can be used to find the cost of a taxi ride with Bill's Taxi Company. How much will it cost for a 12-min taxi ride? I don't understand how to calculate this, thank you!

### Pre-calculas

A conical tank of radius R=19 feet and height of H=16 feet is being filled with water at a rate of 9ft 3 /min . (a) Express the height h of the water in the tank, in feet, as a function of time t in minutes

### Math

A craft store needs 5,126 yards of special order ribbon and 2,654 yards of a velvet ribbon. The ribbons come pre-packaged on rolls of 30 yards each. How many rolls will be in the order?

### Pre-Algebra

The Jaspers collect nickels, dimes, and quarters in a jar. When they count the change in the jar, there are twice as many nickels as there are quarters. If there is $15.30 in dimes and $74.80 in all, how many quarters are there. Please include an equation and steps.

### Pre-Algebra

A 5-foot parking meter has a 4-foot shadow from a nearby streetlight. The streetlight is 15 feet tall. How far is the streetlight from the parking meter? Don't want answer, just want formula for figuring out

### calculus

a security camera in a bank is mounted on the wall 6.2 ft above the level of the counter and 9.4ft behind the front edge of the counter. What is the angle of depression of the camera if it is to be aimed 2 ft beyond the front edge of the counter. i understand the problem but ...

### pre algerba

Tom was engrossed in his 340 page book. He stopped on page 127 at noon to eat lunch. He stopped on page 253 to eat dinner. How many pages did tom read during the afternoon

### Pre-cal

Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step. This is what I did. y^2 + 4y = -2x-10 y^2 + 4y + 4 = -2x-6 (y+2)^2= -2(...

### Pre-Calc

After release at ground level, a balloon rises 100 feet in 30 seconds. During each succeeding 30 seconds, it rises 9/10 as far as it did in the preceding 30 seconds. What is its maximum altitude above ground level?

### Pre Algebra

During a sale, the regular price of a CD was reduced by $3. Let p represent the regular price of the CD. Write an algebraic expression that represents the sale price. Having trouble with this one, don't quite understand how to write it as an equation

### Pre-Calc

A large painting in the style of Rubens is 3 feet longer than it is wide. If the wooden frame is 18 in wide and the area of the picture frame is 286 ft^2, find the dimensions of the painting. I have the basic idea down of what I'm supposed to do to solve it.. But I just can't ...

### American Government

As the country has grown and evolved, so too has the Executive Office of the President and the independent agencies. Give FOUR specific examples demonstrating how the evolution of the executive branch has mirrored the evolution of the nation. Include at least ONE pre-twentieth...

### Pre-Algebra

You drop a rock off a bridge. The rock's height, h(in feet above the water), after t seconds is modeled by h=-16t2+541. What is the height of the rock after 2 seconds?

### Math (pre Algebra)

The perimeter of a rectangle picture frame is 30 inches. The length of the frame is three less than twice the width. What are the dimensions of the frame? I know that the perimeter is 30 in., the length is 2w-3, and the width is w, but I don't know what to do after that?

### pRE calc

A Determine the location of the turning pints for the cubic y= x^3 - 3x^2 +2x+10 B) Use the fact that a cubic is symmetric about its point of inflection to determine the location of the pint of inflection of the cubic in part (a)

### Pre Algebra Review

Thirty-five students belong to the science club. This 1/4 the number in the 5 sections of the eighth grade. How many students are in the eight grade? How many in each section if each section has the same number of students?

### Pre-cal

Determine two positive integers such as 5 less than two times the first number is the second number. The sum of the second number and the square of the first is 115.

### Pre Cal

Two tracking stations are on the equator 158 miles apart. A weather balloon is located on a bearing of N 41degrees E from the western station and on a bearing of N 21degrees E from the eastern station. How far is the balloon from the western station.

### Pre Calc

the units digit of a 2 digit number is 4 less than the tens digit. the number it names is 3 less than 9 times the sum of the digits what is the number?

### Pre-Calc

1.) Suppose that y varies directly as x. If y is 5 when x is 30, the constant of variation is 150. True Or False 2.) If w varies directly as z and w = 9 when z = -6, find w when z = 3. 3.) If y varies directly as x and y = 2 when x = 4, find x when y = 4.

### math

Baseball Nick throws a baseball upward with an initial velocity of 60 feet per second. What is the maximum height of the ball after Nick releases the ball? Formula for the problem - h(t)=v0t-16t^2, h(t)= the height of an object in feet, v0=an object's initial velocity in feet ...

### Pre-Calc

A pizzeria sells a rectangular 18 X 24 inch pizza for the same price that it sells its large 24" diameter pizza. If both pizzas have the same thickness, which option gives the most pizza for the money. Gosh I'm really rusty on my geometry. Can you give me an idea of how to go ...

### Pre-Ap Physics

During World War I, the Germans had a gun called Big Bertha that was used to shell Paris. The shell had an initial speed of 2.65 km/s at an initial inclination of 41.9◦ to the horizontal. The acceleration of gravity is 9.8 m/s 2 . How far away did the shell hit? Answer ...

### pre calc

The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? Please help I got 670,422 and the computer marked it round i then tried rounding it to 671000 but it was still ...

### Pre Algebra

Here is another one I need help with. -5x+20=-60 ( remember it is a equation with variables and integers.) Thank you once agian add -20 to both sides -5x=40 then multiply both sides by -1/5 x=-8 Lance, Nice job, but you missed a negative sign. -5x+20 = -60 Add -20 to both ...

### Pre Algebra

HOW WOULD I GO ABOUT THIS QUESTION? JUNGER SAYS THAT EVEN A 10 KNOT INCREASE IN WIND SPEED CAN BE VERY DANGEROUS FOR A SHIP. PICK TWO WIND SPEEDS THAT DIFFER BY 10 KNOTS, AND COMPARE THE RESULTING WAVE ENERGIES. HOW WOULD I GO ABOUT THIS QUESTION??

### Pre- Algebra

7.)The stem–and–leaf plot shows the number of fish that were caught by several ships in a fishing fleet. How many ships caught 37 fish or fewer? stem Leaves 3 | 0 3 3 5 6 4 | 0 2 4 5 8 9 9 5 | 0 1 2 4 key: 2|4 means 24 A.)12 B.)16 C.)14 D.)13 I think B is the answer but my...

### calculus - ratio test

Posted by COFFEE on Sunday, July 29, 2007 at 6:32pm. infinity of the summation n=1: (e^n)/(n!) [using the ratio test] my work so far: = lim (n->infinity) | [(e^n+1)/((n+1)!)] / [(e^n)/(n!)] | = lim (n->infinity) | [(e^n+1)/((n+1)!)] * [(n!)/(e^n)] | = lim (n->infinity...

### pre-algebra

Which is the better buy: Brand A with a regular price of $15.98and a 30% discount or Brand B with a regular price of $18.50and a 40% discount -thanks

### pre-algebra

Which is the better buy: Brand A with a regular price of $15.98and a 30% discount or Brand B with a regular price of $18.50and a 40% discount -thanks

### pre algebra

Ryan is thinking of a number. When he multiplies this number by 6 and then subtracts 15 from the answer, he ends up with his original number. What number is Ryan thinking of?

### Pre algebra

A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 6?

### Pre-Algebra please help me!!

X- 0 1 2 3 4 5 6 Y- -7 -4 -1 2 5 8 11 this is a x and y table I need to find out wat the rule is to get y. So the equation would start out like: Y=?????? wat do u need to do with x to get y? and I need help badly! so please!

### Pre algebra

A cyclist rides her bike at a speed of kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in minutes? Do not round your answers.

### pre-cal

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building?

### Pre Calc - Probability

Let S = {2, 8, 14} be a sample space associated with an experiment. (a) List all events of this experiment. A) {2, 8}, {2, 14}, {8, 14}, {2, 8, 14} B) {2}, {8}, {14}, {2, 8}, {2, 14}, {8, 14} C) {2}, {8}, {14}, {2, 8}, {2, 14}, {8, 14}, {2, 8, D) 14} E) ∅, {2}, {8}, {14}, {2...

### Pre-Algebra

I need to check my work... estimate the following products or quotients 17 11/12 divided by 6 1/10 The first step I did was convert to improper fraction then I multiplied after changing the reciprical, and then I multiplied the numerators and then multiplied the denoninators ...

### Pre-Algebra can you please help?!

Lester deposited $400 into a savings account earning 4.5% simple interest, and $450 into an investment account earning 3.2% interest compounded annually. What was the total interest he earned in 3 years? A $986.00 B $89.06 C $9.60 D $98.60

### Pre Calc

Write an equation to a polynomial function that has the following properties: Fourth degree equation Lead coefficient is -2 Two negative real roots and one positive real root The positive real root has multiplicity of 2

### pre ap math

a toy rocket is launched from a platform that is 48 feet high. the rockets height above the ground is modeled by h=-16t^2+32t+43. find the maximum height of the rocket find the time it will take for the rocket to reach the ground.

### Pre-Cal

The 1st year and 3rd year periods for these accounts are the lengths of time that you must keep the money in the account.(you pay a penalty if you take themoney out before the term is up.) Why might an investor choose a CD with a shorter term rather than a longer one, even ...

### Pre-Algebra-math

Mr.Jones bought 20 yards of fencing to make a pen for his dog, the pen will be in a retangle shape fencing comes in 1-yard sections,he want the biggest space possible for his dog to run. What are the dimensions of the maximum space of the pen he can get??

### pre algebra

a typist works from 10am to 6pm making $120 for the day. after typing from the end of page 8 to the end of page 50, find the number of pages per hour. find the rate of pay in dollars per page

### Pre Algebra

Complete the table (Was in a table form!) Scientific Notion /// Standard Notion 1. ________________ = 62,000,000 2. -3.05*10^6 = ___________ 3. ________________ = .00000089 Simplify 4. (9.8*10^2) * (5*9*10^7) 5. (7.2*10^-5) / (4.3*10-3) My Answers:- 1. 6.2*10^7 2. -3,050,000 3...

### Accounting

Given the following information for the fiscal year ended June 30, 2001: Product sales: 28,189,612 Service sales: 11,688,793 Cost of goods sold- products: 10,633,956 Cost of goods sold- services: 5,869,106 Operating expense: 14,904,460 Pre-tax operating income: 8,470,883 ...

### pre-calc

A ball is dropped from the top of a 25-m ladder. In each bounce, the ball reaches a vertical height that is 3/5 the previous vertical height.Determine the total vertical distance traveled by the ball when it contacts the ground for the sixth time. Express your answer to the ...

### Pre algebra

when a skydiver jumps from an airplane, the distance of d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2 (the formula asumes that there is no air resistance) find the time it takes a skydiver to fall 1,296ft before openening ...

### Pre-Cal (Help Please!!!!)

[Note: i need help really badly. I only have 2 hours left] Find all solutions of the following equations. Be sure to check for extraneous solutions. show work 1). 3cosθtan^(2)θ-cosθ=0 2). tan (3θ)+1=0

### Pre-Calc

Does y=1/x have an inverse? It is a one-to-one function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?

### pre-calc

Find an angle between 0 and 2ð that is coterminal with the given angle. -8pi/3 A sector of a circle has a central angle of 60°. Find the area of the sector if the radius of the circle is 3 mi.

### Pre-Algebra

Your baseball team has won 6 games and lost 4 games. If the team does not lose any more games, how many games must the team win to have a win: loss ratio of 2:1.

### calculus

Find f'(x): f(x)=3(2x^25x+1) I am not sure if the 5x is multiplied to the 2x^2 (I got f'(x)=90x^2) or there is a typo.

### calculus

can someone explain to me the steps to solve this problem? find the derivative: (3x^2+7)(x^2-2x+3)

### Calculus!

What is the velocity of an object dropped from a height of 350 m when it hits the ground?

### Calculus

How many zeros are at the end of the product of the first fifty positive integers?

### Calculus

Pls help solve this problem if sqrt(y)=(arctan)tan-1(x), show that (1+x^2)dy/dx((1+x^2)dy/dx)=2

### Calculus

Find the limit. Use L'Hopitals Rule if necessary. lim (x^2+3x+2)/(x^2+x) x -> 0

### Calculus

find the limit. use L'Hopital's Rule if necessary. lim (x^2+3x+2)/(x^2+1) x -> -1

### Calculus

Minimize S=x+2y with xy=2 and both x and y > 0. Can somebody explain to me in words and numbers how to do this problem.

### Calculus

Determine whether the given orderd pair is a solution of the system ( -2, 1) X/3

### Calculus

The slope of the tangent to the curve (y^3)x+(y^2)x^2=6 at (1.2) is??????????? Is the answer -1/2 or positive, or am i completely off?

### Calculus

Find the slope of the tangent line to the graph of f at any given point f(x) = -2x + 6 at (2,2)

### Calculus III

Derivative of Inverse Trigonometric Functions f(x) = sin(arccos(4x)) What is f'(x)?

### Calculus III

Derivative of Inverse Trigonometric Functions f(x) = cos(arcsin(2x)) What is f'(x)?

### Calculus

Prove the identity and give its domain. 4sinxcosx+sin4x=8sinxcos^3x

### calculus

find the modulus and the argument of the following complex numbers: 15-4i and a-ai where a is greater than 0

### Calculus

prove: if z is a complex number 1/2= the conjugate of z of the absolute value of z squared.

### Calculus - Anti-Derivatives

How would you find the Integral of (cos(x\8))^3, defined from -(4 x pi)/3) to (4 x pi)/3)

### Calculus

Area of rectangle = xy = xã(4r^2 - x^2) Take the derivative. I am having trouble with the algebra.

### calculus

Let f(x)=–5x(x–5). Then f'(–1)= And after simplifying f'(x)= Hint: You may want to expand and simplify the expression for f(x) first.

### Math (Calculus)

y= x^(2x+1) find the derivative of the function using natural log

### calculus - (derivatives)

Find the derivative of the function f by using the rules of differentiation. F(x) = 3 ã x