# math calculus

Most popular questions-
## math calculus

Find the half-life (in hours) of a radioactive substance that is reduced by 30 percent in 40 hours.

*asked by Urgent help on August 30, 2015* -
## math calculus

In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 95 percent of its carbon-14 (half-life 5730 years). Approximately how old is the painting? In years

*asked by Urgent help on August 30, 2015* -
## Math Calculus

Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides is 240 ft. Let x be the length of two sides perpendicular to the wall as shown. Write an equation of area A of the enclosure as a

*asked by Livia on August 19, 2010* -
## Math Calculus

The number of portable CD players you are prepared to supply to a retail outlet every week is given by the formula: q = 0.1p2 + 2p where p is the price it offers you. The retail outlet is currently offering you $50 per CD player. If the price it offers

*asked by Trisha on December 17, 2012* -
## math calculus

A poster is to contain 300 (cm square) of printed matter with margins 10cm at the top and bottom and 5cm at each side. Find the overall dimensions if the total area of the poster is minimum.

*asked by Aquino,Vanessa Mae on October 23, 2016* -
## math calculus

The revenue R for a company selling x units is R = 700x − 0.1^x2. (a) Use differentials to approximate the change in revenue as the sales increase from 2900 units to 3000 units. dR = $ (b) Compare this with the actual change in revenue. ΔR = $

*asked by akash on May 4, 2013* -
## math calculus

The concentration C (in milligrams per milliliter) of a drug in a patient's bloodstream t hours after injection into muscle tissue is modeled by C = 3t/26 + t^3 Use differentials to approximate the change in the concentration when t changes from t = 1 to t

*asked by justin on May 4, 2013* -
## math calculus

The concentration C (in milligrams per milliliter) of a drug in a patient's bloodstream t hours after injection into muscle tissue is modeled by C = 3t/26 + t^3 Use differentials to approximate the change in the concentration when t changes from t = 1 to t

*asked by akash on May 4, 2013* -
## Math Calculus

A cylindrical tank with axis horizontal has a diameter d and a length L. It holds oil to depth d ( d

*asked by Rahul on April 17, 2018* -
## Math Calculus

Postal regulations specify that a package sent by certain shipping methods may have a combined length and girth of no more than 99 inches. Find the dimensions of a CYLINDRICAL package with the greatest volume that may be sent by this shipping method. HINT*

*asked by Heather on October 10, 2015* -
## math calculus

Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. (Round your answers to two decimal places. If an answer does not exist, enter DNE.) g(x) = (x^2 − 4)^2/3, [−5, 3] find absolute maximum (x,

*asked by akash on March 31, 2013* -
## math calculus

What value must be defined for f(4) to remove the discontinuity of this function at x = 4? f(x)= x^2-16/x-4 0 4 -4 8 -8

*asked by jessica on November 27, 2012* -
## Math calculus

The top and bottom margins of a poster are 8 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area?

*asked by MArıam on November 27, 2015* -
## math calculus

Let f be twice differentiable with f(0)=12, f(3)=9, and f '(3)=4.Evaluate the integral upper limit 3 and lower integral 0 xf'' (x)dx

*asked by Carl on September 13, 2018* -
## Math Calculus

Let C(x) = 0.02x^3 + 55x^2 + 1380. Find the minimum average cost for this commodity. I got to the point where I got x=-1374.98, x=-5.018, x=5 but what do I have to do again after this? Because I am missing some steps after I find x. Do i have to plug all

*asked by Megan on July 8, 2011* -
## math calculus

In an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after in an experiment a persons body temperature is given by T=310-(7/9)^n where n is the number of minutes after the start of the experiment and T is

*asked by rima on November 26, 2012* -
## math calculus

The demand function for a product is given by p = 10,000(1 − (5/5 + e^−0.001x)) where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = $1000 and p = $1500.(Round your answers to

*asked by harold on May 20, 2013* -
## math calculus

Use implicit differentiation to find the equation of the tangent line to the curve xy^3+2xy=9 at the point (31). The equation of this tangent line can be written in the form y=mx+b where m is

*asked by LEON on November 13, 2010* -
## Math Calculus

This is all about the intermediate value theorme.. You wish to visit you sweetheart, but you don't want to go all the way over to their house if your sweetheart isn't home. What sort of "existence proof" could you do beforehand to decide whether it is

*asked by Desperate on September 24, 2008* -
## math calculus

The marginal cost of a product is modeled by dC/dx= 16/cube root 16x + 3 where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) c= (b) Find the cost of producing 90 units. (Round

*asked by steven on May 28, 2013* -
## Math Calculus

Economists use production functions to describe how output of a system varies with another variable such as labour or capital. For example, the production function P(L) = 200L + 10L^2 - L^3 goves the output of a system as a function of the number of

*asked by Assignment6 on October 21, 2011* -
## Math Calculus

Hi, can anyone please help me solving these problems? any help will be greatly appreciated 1-If a tank holds 1000L of water, which takes an hour to drain from the bottom in the tank, then the volume V of water remaining in the tank after t minutes is

*asked by Tyler on November 21, 2007* -
## math calculus

if i,j,k are the standard unit basic vectors, in 3 space, determine the value of k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k| (Simplify without using components)

*asked by Tina on November 24, 2014* -
## Math Calculus

The Image Theorem: The image theorem, a corollary of the intermediate value theorem, expresses the property that if f is continuous on the interval [a, b], then the image (the set of y-values) of f on [a,b] is all real numbers between the minimum of f(x)

*asked by Desperate on September 24, 2008* -
## Math calculus

an automobile starts from rest and travel 4 miles along a straight road in 5 minutes. Use the mean value theorem

*asked by Bernard on November 13, 2012* -
## math calculus

The demand function for a product is given by p = 10,000 [1 − (5/5 + e^−0.001x)] where p is the price per unit (in dollars) and x is the number of units sold. Find the numbers of units sold for prices of p = $1000 and p = $1500. (Round your answers to

*asked by sam on May 10, 2013* -
## math calculus

1.)dy/dx for 3x^7+5/x^3+3(7square roots of x^2)+sinx 2.)d/dx sinx/6x^4 3.)d/dx sin(6x^4) 4.)d/dx sin^4(6x)

*asked by tremaine on September 26, 2011* -
## math calculus

. Folding a Pyramid - A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

*asked by Paige on December 3, 2012* -
## Math Calculus

A firm finds that it can sell all the radios it manufactures st a price of $75 each. If x radios are manufactured each day and C(x)=x^2 +25x +100 is the daily total cost of production, how many radios should be produced each day for the firm to maximize

*asked by Dee on November 3, 2010* -
## Math calculus

a cylindrical vat must hold 5m^3, the vat must be wider than it is tall, but no more than 3 m in diameter. What dimensions will use the least amount of material?

*asked by Jake on April 5, 2017* -
## math calculus

A person stands on a bridge that is 100 feet above a river. If she drops a pebble how fast is it moving after 2 seconds? How long does it take the pebble to reach the river below? She has another pebble that she tosses up with initial speed of 8 feet per

*asked by Kimmie on November 6, 2013* -
## math calculus

how to calculate dy/dx for the curve y=x^(ln x)^2

*asked by p on August 1, 2010* -
## Math calculus

The altitude of a triangle is increasing at a rate of 1000 centimeters/minute while the area of the triangle is increasing at a rate of 1500 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7000 centimeters

*asked by Kitor on May 22, 2013* -
## Math Calculus

f(x) = (x^3+5x^2-28x-32)/(x^3-18x^2+105x-196) which can be written as f(x) = [(x+1)(x-4)(x+8)]/[(x-7)^2(x-4) The domain of the function f(x), in interval notation from left to right, is ____ U ____ U ______. The root(s) of f(x), in increasing order,

*asked by Maude on July 4, 2013* -
## math calculus

Find the equation of the function f whose graph passes through the point (0, 4/3) and whose derivative is f'(x) = x sqrt 16 − x^2 . f(x) =

*asked by steven on May 28, 2013* -
## math calculus

. Folding a Pyramid - A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

*asked by Paige on December 3, 2012* -
## math calculus

. Folding a Pyramid - A pyramid with a square base and four faces, each in the shape of an isosceles triangle, is made by cutting away four triangles from a square piece of cardboard and bending up the resulting triangles to form the walls of the pyramid.

*asked by Paige on December 3, 2012* -
## Math calculus

Which box is bigger the 10*4*1 or the 6*4*3 box. Thanks.

*asked by Catherine on March 3, 2013* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math calculus

An ice cube is 3 by 3 by 3 inches is melting in such a way that the length of one of its side is decreasing at a rate of half an inch per minute. Find the rate at which its surface area is decreasing at the moment when the volume of the cube is 8 cubic

*asked by Ashley on August 7, 2016* -
## math calculus

Find the equation of the function f whose graph passes through the given point. (Remember to use ln |u| where appropriate.) f'(x) = x^3 − 4x^2 + 3/ x − 3 ; (4, −5) f(x) =

*asked by steven on May 28, 2013* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

Your friend tosses three coins and you roll a single die. If the number on the die you roll is less than or equal to the number of heads that your friend tosses, you win $X. If not, you lose $1. How large should X be in order for this to be a fair game?

*asked by Karan Shah on March 6, 2008* -
## math calculus

(24x^3-54x^2-15x)/(6x^2-15x) i don't factor number from whole equation way i do it is find number that add to give me -54 and multiply to give -360. the number i get -60 and +6. so i do this: 24x^3-60x+6x-15x i factor this further and get

*asked by Shreya on January 4, 2012* -
## math calculus

7/(x-2)(x+5)-8/(x+5)(x-3) 7(x-3)-8(x-2)/(x-2)(x+5)(x-3) 7x-21-8x+16/(x-2)(x+5)(x-3) 7x-8x give me -1x and -21+16 give me -5. for numerator but it have to be -1/(x-2)(x-3) i not know how to do this please explain process my way not different way.

*asked by Shreya on January 4, 2012* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

Sketch the graph of a function having the following features: f'(x)>0 on (-5,-2) and on (3,oo) f'(x)0 on (-oo,-3) and on (1,oo) f''(x)

*asked by Kenyon on October 17, 2017* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

In the viewing rectangle [-4, 4] by [-20, 20], graph the function f(x) = x3 - 3x and its secant line through the points (-3, -18) and (3, 18). Find the values of the numbers c that satisfy the conclusion of the Mean Value Theorem for the interval [-3, 3].

*asked by VM on June 14, 2011* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

Please explain how it is (ln 4) ¡Ò^8 2 x^-1 dx= (ln 8) ¨C (ln 2) =(ln 4)

*asked by Scott on December 2, 2007* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

Hi could someone please explain to me how i would use the chain rule dy/dx = dy/du(du/dx) to solve for y= sin(x+y) - im looking for dy/dx i don't understand the steps thanks

*asked by sarah on March 21, 2009* -
## Math Calculus

Suppose g(x) = 6x arctan (ln x/(x^3+2)) Plot y = g(x) in the square window deﬁned by 0 ≤ x ≤ 2 and −1 ≤ y ≤ 1. Also plot the secant lines connecting (1, g(1)) and (1 + h, g(1 + h)) for h = .5 and h = .25 in the same window. Give a table of

*asked by Anonymous on October 8, 2012* -
## Math Calculus

Hi, I don't have any question specifically but I'm very confused on this. In integration to find area under/above a curve, when do you integrate: 1) with respect to y 2) with respect to x 3) using x coordinates 4) using y coordinates Thanks for your help!

*asked by Joshua on October 16, 2008* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

Find critical points and extreme values on the interval [-1,5]: f(x)=|x^2-4x+3|

*asked by Anonymous on March 9, 2017* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

The function f is given by the formula f(x)=6x^3+17x^2+4x+21/x+3 when x

*asked by URGENT on May 3, 2013* -
## math calculus

Find the intervals on which the function f(x)=x²/³(10-x) is increasing and decreasing. Sketch the graph of y=f(x)and identify any local maxima and minima. Any global extrema should also be identified.

*asked by Jay on April 18, 2016* -
## math calculus

what is the difference between the function 2^x and (1/2)^x?

*asked by Sara on February 13, 2015* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

For the function: f(x)= 2+x-x^2/ (x-1)^2 ; f'(x)= x-5/(x-1)^3 ; f''(x)=2x-14/(x-1)^4 a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection

*asked by Sarah on November 29, 2014* -
## math calculus

what does this function show at x=5? f(x)=^2-25/x-5 A. removable discountinuity B. jump discountinuity C. infinite discountinuity D. Countinuity E. None of the above

*asked by Disha on November 26, 2012* -
## math calculus

The volume of the solid obtained by rotating the region bounded by y=x^2−2x and y=x about the line y=9, has the form a/bπ, where a and b are positive coprime integers. What is the value of a+b?

*asked by andy on July 17, 2013* -
## math calculus

*asked by Paige on December 3, 2012* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

You have an unknown function that is monotone increasing for 1 < x < 5 and have the following information about the function values. With the clear understanding that there is no way to get an exact integral, how would you try and approximate the area

*asked by Karan Shah on March 6, 2008* -
## 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.

*asked by Scott on December 2, 2007* -
## math calculus

*asked by Paige on December 3, 2012* -
## Math Calculus

The foot of a 30-foot ladder is being pulled away from a vertical wall at a rate of 1 foot per minute. When the top of the ladder is 6 feet from the ground, at what rate is the top of the ladder moving down the wall?

*asked by Meg on July 8, 2011* -
## Math Calculus

A sphere is initially measured as having a radius of 4 inches. A subsequent measurement shows that the radius is really 3.99. Find (a) the actual difference in volume between the initial measurement and the correction, and (b) the difference as estimated

*asked by Megan on July 8, 2011* -
## math calculus

convert these symmetric equations to parametric form: line 1:(x-1)/k = (y-2)/2 = (z+1)/k-1 and line 2: (x+3)/-2 = (z)/1, y=-1

*asked by Sarah on November 29, 2014* -
## Math Calculus

This is a problem set I do not undestand Let y1 = a^x, y2 = NDER y1, y3 = (y2/y1), and y4 = e^(y3) a) Descirbe the grapgh of y4 for a = 2,3,4,5. Generalize your description to an arbitrary a > 1. b) Descibe the graph of y3 for a = 2,3,4,5. Compare a table

*asked by Fabian on November 24, 2007* -
## math calculus

how to find derivate of: y=(-4x^2+8)/(x^2+2)^2

*asked by steve on April 21, 2008* -
## Math Calculus

Help! I really do not understand solving functions and derivatines with the Mean Value Theorum. Can anyone help explain it? (my textbook is not helping at all!)

*asked by Fabian on November 26, 2007* -
## Math calculus

(2) (-1) (3)+(4)

*asked by Donald on June 2, 2017*