# calc

Most popular questions, page 7-
## calc

Find the derivatives of the following functions using the differentiation rules. f(x)=(x^3-2x^2+x+1)(sqrt(x)-3x+9) I did: f'(x)=[x^3-2x^2+x+1][(1/2x^(-1/2)-3]+[x^(1/2)-3x+9][3x^2-4x+1] which I got to be

*asked by Anna on September 27, 2010* -
## Calc

An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a radar station at time t=0. a) Express the horizontal distance d (in miles) that the plane has flown as a function of t. I really don't know... would it be

*asked by Chelsea on September 19, 2010* -
## Calc

I'm kind of rusty on my calc here... ok ther's a graph of velocity vs time w/ velocity in m/s and time in seconds were time is of course the x-axis k I'm asked to describe how the velocity changes over the timer interval in this interval the graph consists

*asked by Kate on June 17, 2010* -
## Calc

The Public Health Service monitors the spread of an epidemic of a particularly long lasting strain of the flu in a city of 500,000 people using the logistic function. at the biginning of the first week of monitoring (time zero), 200 cases had been

*asked by Brendan on April 5, 2010* -
## calc

Suppose the cost C(q) (in dollars) of producing a quantity q of a product equals C(q) = 500 + 2q +1/5q^2 The marginal cost M(q) equals the instantaneous rate of change of the total cost. Find the marginal cost when a quantity of 10 items are being

*asked by ty on February 8, 2010* -
## calc

Integrate (1/2)^(3x+2)dx using substitution.

*asked by Carly on December 6, 2009* -
## calc

let f(x)= -x^2 +3x on the interval [1,3] . Find the absolute maximum and absolute minimum of f(x) on this interval

*asked by casey on November 5, 2009* -
## Calc

A plane that is flying horizontally at an altitude of 6 kilometers and a speed of 680 kilometers per hour passes directly over a radar station. How fast is the distance between the plane and the radar station increasing when the distance between the two is

*asked by Georgia on October 20, 2009* -
## calc

integral from -2 to -8 (10x–9x^2)dx use midpoint approximation with n=3 my points were (-8,-6) (-6,-4) (-4,-2) i added them up and dividded by two the plugged it into the orginal eqautipon. The number i got i added and multpiled by three but still got

*asked by haris on June 5, 2009* -
## Calc

Find the area of the region bounded by y=x^2 and y = -(x-4)^2 +4 and the lines y=0 and y=4.

*asked by Jose on April 2, 2009* -
## calc

Give 2 positive and 2 negative angles that are coterminal with each angle? 1. 30 degrees 2. 135 degreed 3. -93 degrees

*asked by peter on March 31, 2009* -
## CALC

If 42600 dollars is invested at an interest rate of 5 percent per year, compounded semiannually. What does semiannually mean? to find the values at 5 years would you just multiply?

*asked by Paisley on March 24, 2009* -
## CALC

what is the arc length of y=x^4/8 + 1/(4x^2) [-1,-2] i have tried this many times but i am not achieving the answer of 33/16 which is supposed to be correct....much help is appreciated

*asked by josh on February 3, 2009* -
## calc

a machine can produce 12 clay figure per hour.it costs $750 to set up the machine and $6 per hour to run the machine.each clay figure requires $2 of material to produce.if each clay figure will sell for $10 charged,express the revenue cost,and profit in

*asked by natasha on August 26, 2011* -
## calc

What is the integral of 20 * (sinx)^3 * (cosx)^2?

*asked by Michael on December 1, 2008* -
## calc

t 2 4 6 8 10 12 v(t) 44 42 41 40 37 35 the velocity in the table is decreasing 2

*asked by Dan on November 2, 2008* -
## calc

Find the area of the surface obtained by rotating the curve of parametric x=3t-(3/3)t^3 y=3t^2 0

*asked by alexis on October 30, 2008* -
## calc

how do you find the volume enclosed by x=3y and x=y^3 rotated about the y-axis? when y=>0

*asked by alexis on October 16, 2008* -
## Calc

How do you find the points of the derivative of a function just from the graph of the function? It wants me to find f'(0), f'(1), etc just from the graph-thanks

*asked by Michael on September 22, 2008* -
## calc

is the integral of 2x/(x^3-x) =-1/2ln(x+1)+1/2ln(x-1) I got this by doing this: (\=integral sign) 2\1/(x^2-1) 2\1/(x+1)(x-1) =A/(x+1)+B/(x-1) =Ax-A+Bx+B=1 Ax+Bx=0 B-A=1 B=1+A (1+A)x+Ax=0 x+Ax+Ax=0 1+AB=0 2A=-1 A=-1/2 B+1/2=1, B=1/2 etc.

*asked by sarah on January 27, 2008* -
## calc

is the integral of xln(x)dx= x^2/4(4ln(x)-4-2ln(x)+3)+C?

*asked by sarah on January 22, 2008* -
## Calc

Find the velocity of a satellite orbiting above the equator of the earth in geosynchronous orbit (Period=24 hours) in km/hr. The earth's mass M=5.974x10^(24)kg and radius R=6,731 km. G=6.673x10^(-11) m^3/(kg*s^2) Use v=(G*M/R)^(1/2) I plugged everything in

*asked by Mischa on January 17, 2008* -
## Calc

Classify all critical points of the function f(x,y)=x^2-y^2+4x-2y+1. I know I have to take the partial derivative and set them equal to zero to get my points and then use the Hessian. For some reason I am not getting the correct answer. partial d/dx 2x+4

*asked by Britt on December 9, 2007* -
## Calc

How do you factor -2x^2+60x-120. I got -2(x^2-30x+60) but I need to factor it further.

*asked by Britt on December 8, 2007* -
## calc

also: integral of tan^(-1)y dy how is integration of parts used in that? You write: arctan(y)dy = d[y arctan(y)] - y d[arctan(y)] Here we again have used the product rule: d(fg) = f dg + g df You then use that: d[arctan(y)] = 1/(1+y^2) dy So, the integral

*asked by marsha on May 23, 2007* -
## calc

differentiate y=ln(x^5-e^x) Please show the steps in solving change it to y=ln u dy/dx= dy/du * du/dx and of course, dy/du= 1/u I will be happy to critique your work. 1/4x * 4/4x = 4/x Is this correct?

*asked by quita on April 11, 2007* -
## Calc

A rectangular storage container with an open top is to have a volume of 15m^3. The length of the base is twice the width of the base. Material for the base costs $6 per square meter. Material for the sides costs $7 per square meter. Find the cost of the

*asked by Martina on March 29, 2007* -
## calc

I assume the poster was trying to type "oblique asymptote" from your answer of 3x+2 + 7/(x-1) we can conclude that there is an oblique linear asymptote of y = 3x + 2, and a vertical asymptote at x = 1 for the original function given. how do u find obblique

*asked by Reiny on March 26, 2007* -
## calc

A widget factory has fixed costs of 35 billion dollars and variable costs of 781 million dollars per widget. The revenue (in $ billions) from selling x number of widgets is given by the following for x between 0 and 60. R(x) = 0.11(60x - x^2) What is the

*asked by Lia on February 20, 2007* -
## calc

Verify that the function satisfies the three hypotheses of Rolle's Therorem on the given interval. Then find all numbers c that satisfy the conclusiton of Rolle's Theorem. f(x)= x*sqrt(x+6) [-6,0] f is continuous and differential f(-6) =-6*sqrt(-6+6) =0

*asked by Brian on January 18, 2007* -
## calc

y=ln(x+1) +ln(x-1) find dy/dx I have trouble with this problem since i'm not that familar with finding the derivative when they involve ln. Please show me how to solve this problem. I should have gotten 2x/(x^2-1)

*asked by Brian on January 17, 2007* -
## Calc

a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx= ? My teacher says the answers are a) (2x)/(x^2-1) and b) 4/x I am not sure how you find the derivative when they involve ln. Could you please explain to me how to get these answers? I

*asked by Jamie on January 16, 2007* -
## calc

find the values of a nad b if the function f(x)=2x^3 + ax^2 + bx + 36 has a local max when x=-4 and a min when x=5 First you calculate the derivative: f'(x)=6x^2 + 2ax + b (1) At the local maximum and minumum f' is zero. If a polynomial is zero at some

*asked by kooldude on November 9, 2006* -
## calc

find the derivative of y = sqrt(9 - 16x) Use the chain rule. First find the derivative of the sqrt, and multiply that by the derivative of what is contained inside. Cake. Use the chain rule. If we have y(x)=sqrt(9-16x) then y'=d/dx(sqrt(9-16x))*d/dx(9-16x)

*asked by joe on September 27, 2006* -
## calc

lnx = x^3 + 1 i know x=1 but can you solve this algebraically?

*asked by tom on December 18, 2017* -
## Calc

Find dy/dx by implicit differentiation and simplify the result 1. x=sec(1/y) 2. 4xy+ln(x^2y)=7 Hello I sort of know how to do these problems but not really. :( Can someone show all the work to solving them it would help me greatly. Thank you a lot.

*asked by Dora on June 14, 2017* -
## Calc

The time interval T, in minutes, between patient arrivals in an emergency room is a random variable with exponential density function p(t) = 0:125e^-.125t. What is the average time between patient arrivals? What is the probability of two patients arriving

*asked by Alice on March 29, 2017* -
## Calc

g'(x)=tan(2/1+x^2) Let g be the function with first derivative given above and g(1)=5. If f is the function defined by f(x)=ln(g(x)), what is the value of f'(1)? I know the answer is 0.311, but I need steps as to why. Please and thanks.

*asked by Will on January 14, 2017* -
## Calc

Find the Value(s) of C guaranteed by the Mean Value Theorem for Integrals for f(x) =x^3 in the interval [0,3]

*asked by Molly on November 18, 2016* -
## CALC

Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder x^2 + y^2 = 9 and the planes y + z = 19 and z = 2.

*asked by Anon on October 19, 2016* -
## Calc

sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

*asked by Anonymous on June 8, 2016* -
## calc

Find the point on the graph of y = x2+1 that is closest to the point (3,1). d = √[(x-3)^2+(y-1)^2] d = √[(x-3)^2+(x^2+1-1)^2] d = √[(x-3)^2+(x^2)^2] d = [(x-3)^2+x^4]^1/2 d' = 1/2 [(x-3)^2+x^4)^1/2 [2(x-3)+4x^3] 0 = [1(2x-6+4x^2)] / [2√(x-3)^2+x^4]

*asked by omar on March 17, 2016* -
## calc

The equation below describes the motion of a particle (s = position in feet, t = time in seconds). Find the INSTANTANEOUS VELOCITY at each time given. s = 1 / (t2 + 1) at time 2 seconds

*asked by janie on December 18, 2015* -
## Calc

Consider the table of data for the function g(x),below: x: 2.9, 2.99, 2.999, 3.01, 3.1 g(x):4.41, 4.9401, 4.994, -5.006, -5.0601, -5.61 From the data given, it would apPear the lim g(X) x--> 3 is likely to be: A. 3 B. -5 C. Does not exist D. 5 E. -5.61 I

*asked by Anin on November 3, 2015* -
## Calc

An airplane is flying at a speed of 350 mi/h at an altitude of one mile and passes directly over a radar station at time t=0. a) Express the horizontal distance d (in miles) that the plane has flown as a function of t. I really don't know... would it be

*asked by Justin on October 5, 2015* -
## Calc

Describe the given set with a single equation or with a pair of equations. The set of points in space that lie 2 units from the point (0,0,1) and, at the same time, 2 units from the point (0,0,-1). I wrote distance equations for both set them equal to each

*asked by Anon on August 25, 2015* -
## calc

If D is the solid region in the first octant bounded above by the paraboloid z = 1 − x2 − y2 and below by the xy-plane, the volume of D is: so i set this up integrating over dz dr dtheta and got pi/2 but the answer i spi/8

*asked by rebecca on December 7, 2014* -
## calc

I have asked a couple questions about surface integrals but I was not able to fully understand what the person who answered was saying and/or their answer was not correct. If someone could please help me with this problem that would be great! evaluate the

*asked by rebecca on December 2, 2014* -
## Calc

Find the linearization of f(x)=cos(x)-sin(2x) at x = 0.

*asked by Fred on November 30, 2014* -
## calc

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^{1.4}=C where C is a constant. Suppose that at a certain instant the volume is 430 cubic centimeters and the pressure is 89 kPa and

*asked by john smit on October 29, 2014* -
## Calc

Write a deferential equation describing the given situation. The rate at which the concentration of a drug in the bloodstream decreases is proportional to the concentration. Let Q(t) be the concentration of the drug at any time t and k be a positive

*asked by Rebekah on April 16, 2014* -
## Calc

The temperature of a chemical reaction, t seconds after the reaction starts, is given by: T(t)= 20+5.25t^.75 degrees F , What is the average temperature during the whole process, if the reaction lasts for 4 minutes and 16 seconds ?

*asked by Rebekah on February 9, 2014* -
## Calc

f(x)=2ln(x^2+3)-x Domain [-3,5] how do i find the absolute maximum value of this?

*asked by Amanda on March 19, 2013* -
## Calc

The function f is defined by f(x)= (25-x^2)^(1/2) for -5 less than or = x less than or = 5 A) find f'(x) B) write an equation for the tangent to the graph of f at x=3 C) let g be the function defined by g(x)= (f(x) for -5

*asked by Aparna on March 19, 2013* -
## Calc

A car is moving at 40 mi/h along a straight line when the driver sees a light turn red. She hits the brakes when she is 100 ft from the light and decelerates at the rate of 16 ft per second squared. How far does she travel before stopping? Choose the whole

*asked by Sean on January 20, 2013* -
## calc

What function should be used to maximize the volume of an open box that has a surface area of 24 and has a square bottom. x is the bottom and h is the height.

*asked by daryl on December 19, 2012* -
## Calc

a box with an open top is to be made from a rectangular piece of tin by cutting equal squares from the corners and turning up the sides. The piece of tin measures 1mx2m. Find the size of the squares that yields a maximum capacity for the box. So far i have

*asked by Kieran on September 27, 2012* -
## Calc

Find the sum of the terms of the finite geometric sequence 1, -2, 4, -8, ...,-8192.

*asked by Timofey on August 17, 2012* -
## Calc

I have the differential equation dP/dt = 0.5(800-P) and I need to get the population equation P(t). Can someone walk me through the steps? Thanks!

*asked by Kris on May 6, 2012* -
## calc

The wheels are connected BT a belt. One wheel has a radius of 10inches and is rotating 40rpm. If the other wheel has a radius of 6inches, what is its angular velocity? Is 200rev/3min correct?

*asked by ALISON on April 28, 2012* -
## calc

A____________B 9 miles is between A and B? at 3pm Andy began travelling South at a rate of 4mi/hr from point A at the same time Bill began travelling West at a rate of 5mi/hr from point B to A both stop wlking when Bill reaches point A What time will the

*asked by angel on April 5, 2012* -
## calc

Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ...If you do L'Hop. Rule it would take forever, right? You would always get an (e^n) at the bottom and will have to use the L'Hop. rule 100 times to find the limit...100*n^99,

*asked by lola on February 1, 2012* -
## Calc

So I have a particle that is moving along the x-axis. I have the acceleration equation, the velocity equation, and the position equation. I need to know what is the first time when t>0 that the particle returns to the origin? My position function is

*asked by Kris on January 20, 2012* -
## calc

find f'(x) if f(x)=5e^x^2 find f'(x) if f(x)=a^x

*asked by johnanthan on January 19, 2012* -
## Calc

How close is the semi circle y= sqr.root of 16-x^2 to the point (1, sqr.root 3)? using Optimization

*asked by Anonymous on January 11, 2012* -
## calc

what is (x^2-8x+3) factored?

*asked by haleigh on January 9, 2012* -
## calc

What are the first and second derivatives of y= x^(2/3) * (2.5 - x)

*asked by Anonymous on January 8, 2012* -
## Calc

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=x^2+1; y=9-x^2; about y=-1

*asked by Ashley on December 15, 2011* -
## Calc

find d^2y/dx^2 of dy/dx = -[y/x]^1/3

*asked by Anonymous on December 5, 2011* -
## Calc

We are working on finding the intervals of convergence of power series in class. Why do we not have to test for the convergence of the endpoints for geometric series? They always seem to diverge. Is this a set rule when working with the geometric series

*asked by Chloe on December 1, 2011* -
## Calc

How do you take the integral of dy/(y^2 + 4)?

*asked by Erica on October 30, 2011* -
## calc

Using Ohm's Law (V=IR), where units are volts, amperes, and ohms, and V is a constant 12, calculate: a) The average rate of change of I with respect to R for the interval from R=8 to R=8.1 b) The rate of change of R with respect to I when I = 1.5

*asked by terra on October 6, 2011* -
## CALC

I did post it wrong. sin(4x)/sin(x)=4cos(x)cos(2x). Verify the identity, please explain!

*asked by JD on August 13, 2011* -
## calc

If f(x)= (3x)^(3x), then f'(x) = ? Thank you!

*asked by Erica on April 25, 2011* -
## Calc

Find the integral from 1 to 0 of arcsin(x)dx Thank you!

*asked by Erica on April 25, 2011* -
## calc

Compute the indicated derivative. q(p) = 2.5 p + 3.2; q'(5) 1

*asked by Beth on March 3, 2011* -
## Calc

The temperature at any point in the plane is given by the function T(x,y)= 100/(x^2+y^2+1). Find the direction at the point (3,2) in which the temperature does not increase or decrease. Help, please? Thanks!

*asked by Brittany on February 28, 2011* -
## Calc

The question that I'm stuck on is this: "Let f(x,y)= x^(2)*ln(y). Find the average rage of change of f as you go from (3,1) to (1,2) and find the instantaneous rate of change of f as you leave the point (3,1) toward (2,1)." Any help would be appreciated.

*asked by Brittany on February 27, 2011* -
## calc

Can someone please show me how to find the integral of sin squared x?

*asked by lo on February 27, 2011* -
## Calc

Derivative of: (exp(8x^4))(5x^3+9)^3 ___________________________ (divided by) (22x^2+4x-20)^2

*asked by Skibba on February 24, 2011* -
## Calc

I have to find the integral of 1/(sq. rt. of (4x-x²)) dx. I know I have to complete the square of the denominator, but im confused on how that process works when im only given 4x-x². Could you demonstrate how to complete the square for that equation?

*asked by Erica on February 22, 2011* -
## calc

If dy/dx = xy - y^2 and y(1) = 3, then y (2) = ?

*asked by Erica on February 22, 2011* -
## calc

f(x)=6(sin(x))^x, find f'(1). and f(x)=3x^ln(x), find f'(9). i tried these so many times and it keeps telling me that my answers are wrong :/ for the first one i did f'(1) = 6sin(1) * {ln[sin(1)] + cot(1)}., is that correct, when i put it in my calculator

*asked by yoo on February 18, 2011* -
## Calc

Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. y = cube rt. (x) + 2 Thank you so much!!

*asked by Erica on February 7, 2011* -
## Calc

What is the area of the region located between the graphs of y = -x² + x + 4 and y = 2? Thank you so much!

*asked by Erica on February 2, 2011* -
## Calc

Suppose that a function f(125)=52 and f'(125)=4. Estimate f(123.5)

*asked by Matt on January 29, 2011* -
## Calc

Given function f defined by f(x) = ( 1- x)³. What are all values of c, in the closed interval [0,3], that satisfy the conditions of the Mean Value Theorem?

*asked by Erica on January 23, 2011* -
## Calc

(sqrt(9x 5)-sqrt(68))/(x-7) limit as x approaches 7

*asked by Bubba on January 21, 2011* -
## Calc

y = x^2 y = 6 - x Find the area of the region by integrating (a) with respect to x and (b) with respect to y.

*asked by Erica on January 18, 2011* -
## Calc

Find the limit as x approaches 0 of (sin x)/(x + tan x)

*asked by Erica on January 18, 2011* -
## Calc

Let f(t) = 1/t for t>0. For what value of t is f ' (t) equal to the average rate of change of f on [a,b]?

*asked by Erica on January 2, 2011* -
## Calc

If t is measured in hours and f '(t) is measured in knots, then integral from 0 to 2 of f '(t)dt = ? (Note: 1 knot = 1 nautical mile/hour)

*asked by Erica on January 2, 2011* -
## calc

construct an isoceles triangle with an area of 100. what is the length of the base of the triangle which has the smallest perimeter? Prepping for a test, explanations please

*asked by C-help please asap on December 9, 2010* -
## Calc

express 3ln(r)- 5ln(s)+ 7ln (t) as a single logarithm.

*asked by Dan on December 9, 2010* -
## Calc

Find y' for y = x/(x+y)

*asked by Brandon on December 3, 2010* -
## Calc

Locate any relative extrema and inflection points. y = (ln x)/x

*asked by Erica on December 2, 2010* -
## CALC

Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u sub and let u=e^2t and got 5/2arctan(e^2t)+C. But this answer is incorrect. Please help. Thanks

*asked by Kristina on November 17, 2010* -
## calc

What is an equation of the line tangent to the graph of f(x)=x2(2x+1)3 at the point where x=-1? (that's x squared (2x+1)cubed) I'm having trouble finding the derivative:f'(x)which would be the slope (m). No one has answered this question yet.

*asked by Naz on November 7, 2010* -
## Calc

Water is leaking out of an inverted conical tank at a rate of 5800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 6.5 meters. If the water

*asked by Pierre on October 28, 2010* -
## Calc

If f(x)= sec x, find f"(Pi/4) I am not sure how to take the 2nd derivative? f'(x)= sec x tan x f"(x)=??? Is it f"(x)= (sec x tan x)(sec^2x)??? Please Help!

*asked by CMM on October 24, 2010*