# Pre- Calculus

21,352 results, page 81

### Calculus

The particular solution of the differential equation dy/dt=2*y for which y(0) = 60 is y = 60e2t y = 60 e0.5t y = 59 + et y = 30et

### Calculus

Given that the antiderivative of f(x) = e4x is F(x) = 1/4e^4x+C, evaluate the integral from 0 to 2 of e^4x, dx. e^8 1/4(1-e^8) 1/4(e^8-1) 1/4e^8 (MY ANNSWER)

### Calculus I

For what values of a and b is the line -4x+y=b tangent to the curve y=ax^3 when x=4? Can anyone give me the hint?

### Calculus

An equation of the line with slope -1 that passes through the point (2,5) is y=-x+7

### Calculus

Find the 4th Taylor polynomial, P4, generated by f(x) = 1/x at center a = 2 ?

### Calculus

Find the 4th Taylor polynomial, P4, generated by f(x) = 1/x at center a = 2 ?

### calculus help

integrate:dx/(3x^3-5)^3 i don,t know how to use wolframalpha plz show me step....

### calculus

sin(cos^-1(x/2))= draw right triangle to simplify

### Calculus question ?

Are there any horizontal asymptote on a ln natural log function

### Calculus

I need help I have to submit work at 12 est time

### Calculus

let f(x)=2x-7. Use the rigorous definition of limit to show that lim x-->4 f(x)=1

### Calculus

Use implicit differentiation to find the derivative of y with reapect to x x^2y-y^2+ln(xy)=1

### Calculus

Does the series converge? diverge? Use the Root test ((1/n)-(1/n^2))^n

### Calculus

Solve the following equation on the interval [0,2pi) if sin = -0.29?

### calculus

find the area of the parallelogram that has vectors as adjacent sides u = -2i +j +5k v = 4i -3j -3k

### Calculus

Evaluate using tabular method: integral e^(2x)cos3xdx

### math

Y=Ax^2+Bx has agradient of 7 at the point (6,8) ,find the constant numbers of A and B ? *calculus*

### calculus help me asap

if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....

### Calculus

Find a value for k so that the function is continuous. f(x) = {(x^2 + 2x - 15)/(x - 3), x ≠ 3 and 2kx - 4, x = 3 Is k = 2?

### Calculus

Suppose you know f′(a) = R, a, R > 0. If f is an odd function, what is f(−a)? Explain

### calculus help

if y^3=6xy-x^3-1 show that the maximum value of y occurs where x^3=8+2sqrt(14)

### Calculus

Can you please help me find the x and y intercepts of this equation. How do I solve this? y= x^2 √9-x^2

### Calculus

Find the equation of the tangent line to the curve 2x^2y-3y^2=-11 at the point (2,-1).

### Calculus

Find the Riemann sum for f(x) = sin x over the interval [0, 2π], where x0 = 0, x1 = π/4, x2 = π/3, x3 = π, and x4 = 2π, and where c1 = π/6, c2 = π/3, c3 = 2π/3, and c4 = 3π/2.

### Calculus

Use the function f and the given real number a to find (f^-1)'(a) f(x)=x^3+8x-3 a=6 (f^-1)'(6)= Thank you.

### Calculus

Find the derivative. y=e^8x/[e^(8x)+9] y' = The answer I have is 8e^8x/[(e^8x+9)^2] but it marked it incorrect..

### calculus

find the area of the region bounded by the curves f(x)=x-x^3 ; g(x)=x^2-x ; over [0,1]

### calculus

Use the definition of derivative: lim(as h approaches 0) (f(x+h)-f(x)/(h) to find f(x)=(1)/(2x).

### calculus

how do you find the derivative of this (-x^2)/ (2) +2 and does it have any x intercepts, asypmtotes, or holes.

### Calculus

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

### 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

### Calculus

f(x) = sqrt(x+1) a=3 change of x =.8 to estimate f(3.8)-f(3) use linear approximation

### Calculus

Let f(x)=sqrt(x+2) and use the Linear Approximation to this function at a=14 with Δx=0.3 to estimate f(14.3)−f(14)=Δf≈df=

### Calculus

Which value of c satisfies the MVT for f(x) = x*sinx on [1,4]? My answer is 2.463.

### Calculus

Find where the function is increasing and where it is decreasing f(x)=2sin(x) on [0,2pi] Thanks

### Calculus

Solve using chain rule y=(3x^3+1)(-4x^2-3)^4 So far, I have: y'=(3x^3+1)*4(-4x^2-3)^3*(-8x)+(-4x^2-3)^4*(9x^2)

### Calculus

Find dy/dx and express the final answer with a common denominator y=ln x^(2(4x-12))

### calculus 2

How to solve the definite integral of(3x+pi)cos3xdx from [pi over6,pi over 3]

### pre algebra

the hundreds digit is half the tens digit the sum of the hundreds and tens digit is 12 the ones digit is an odd square number not equal to the thousands digit

### Pre-Algebra

Write a rule for this pattern.Fing the next three numbers in the pattern. 1,4,10,22,46,94 the answer that i came up with was that the pattern start with one add 3 and it goes by 3's or 6's. Please and Thank- you Can you see that each term after 1 is the previous term + 1, then...

### pre cal 11

i am stuck at a question that is asking for the common difference, first term, and general term for the arithmetic sequence the question is t10=50 and t27=152 i found my d=6 and t1=(-4) so know my equation is: tn=(-4)+(n-1)6 i had asken my teacher to tell me what the general ...

### Pre-cal/trig

A dog is attached to a 21-foot rope fastened to the outside corner of a fenced-in garden that measures 18 feet by 22 feet. Assuming that the dog cannot enter the garden, compute the exact area that the dog can wander. I'm confused as to how they want me to solve this...

### 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 ...

### 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-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

### 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.

### 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 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.

### 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-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...

### 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?