# calc

Most popular questions-
## calc

When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of pie/4 cm/m in, and the height of the cylinder is increasing four times faster than the radius. How fast is the volume of the

*asked by marrisa smith on November 30, 2016* -
## calc

The differential equation dy dx equals the quotient of x and y squared. will have a slope field with negative slopes in quadrant I will have a slope field with positive slopes in all quadrants will produce a slope field with columns of parallel tangents

*asked by Anonymous on July 3, 2015* -
## Calc

If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t − 1.86t^2. (a) Find the velocity of the rock after one second. (b) Find the velocity of the rock when t = a. (c) When will

*asked by Katrina on October 17, 2011* -
## calc

Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).

*asked by Anonymous on July 29, 2015* -
## calc

Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

*asked by Anonymous on June 29, 2015* -
## Calc

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function below, where I is the light intensity (measured in thousands of foot-candles). P = (120 I) / (I^2 + I + 1) For what light intensity

*asked by Aaron on November 30, 2009* -
## calc

A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the velocity of

*asked by Anonymous on August 23, 2015* -
## Calc

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours. a) Find the initial population. b) Write an exponential growth model for the

*asked by Erica on January 6, 2011* -
## calc

Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t, between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle

*asked by Mel on January 8, 2016* -
## Calc

If y=tanu, u=v-(1/v), and v=lnx. What is the value of dy/dx at x=e?

*asked by Sarah on December 6, 2016* -
## Calc

Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and anti-derivative.

*asked by LilPeep on January 3, 2018* -
## Calc

Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x^2. At what value of x in the interval 0≤x≤π do the graphs of f and g have parallel tangent lines?

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

A particle moves along the x-axis with velocity v(t) = t^2 − 1, with t measured in seconds and v(t) measured in feet per second. Find the total distance travelled by the particle from t = 0 to t = 2 seconds.

*asked by Anonymous on August 13, 2015* -
## Calc

A car traveling at 43 ft/sec decelerates at a constant 5 feet per second squared. How many feet does the car travel before coming to a complete stop? i tried a few different equations, none of the worked. 43t - 5t^2 = 0 43 - 10t = 0 21.5t^2 - (5/3)t^3 = 0

*asked by Norris on November 23, 2006* -
## calc

i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 -

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

Nutrition Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 224 grams of protein and at

*asked by liz on September 16, 2011* -
## Calc

Your velocity is given by v(t)=1 t2+2 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use the average of the left and right sums with 4 subdivisions.

*asked by Anonymous on July 17, 2014* -
## CALC

Solve the Equation: 1. 2^x + 2^-x = 5 2. Log2x + log2(4 – x) = 0 thanks. i'm not sure how to approach this at all.

*asked by Jess on July 22, 2009* -
## Calc

A voltage V across a resistance R generates a current I=V/R. If a constant voltage of 16 volts is put across a resistance that is increasing at a rate of 0.2 ohms per second when the resistance is 6 ohms, at what rate is the current changing? (Give units.)

*asked by Alisa on March 31, 2011* -
## calc

Which of the following is the general solution of the differential equation dy dx equals the quotient of 8 times x and y?

*asked by Anonymous on July 1, 2015* -
## Calc

Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm^3) Thank you so much!!

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

A rectangular page is to contain 30 sqaure inches of print. The margins on each side are 1 inch. Find the dimensions of the page sucha that the least amount of paper is used. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture

*asked by Amber on July 7, 2017* -
## Calc

A 100 inch piece of wire is divided into 2 pieces and each piece is bent into a square. How should this be done in order of minimize the sum of the areas of the 2 squares? a) express the sum of the areas of the squares in terms of the lengths of x and y of

*asked by katie on November 16, 2010* -
## Calc

A beach ball is deflating at a constant rate of 10 cubic centimeters per second. When the volume of the ball is 256/3(pi) cubic centimeters, what is the rate of change of the surface area? (S=4(pi)r^2 and V=4/3(pi)r^3)

*asked by Riley on December 22, 2014* -
## calc

A company runs food service concessions for sporting events throughout the country. Their marketing research department chose a particular football stadium to test market a new jumbo hot dog. It was found that the demand for the new hot dog is given

*asked by Dan on April 6, 2015* -
## calc

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4

*asked by ANONYMOUS on November 25, 2015* -
## Calc

Write the summation to estimate the area under the curve y=2+sqrt(x) from x = 2 to x = 5 using 3 rectangles and right endpoints. ~the summation from i equals 2 to 5 of the quantity 2 plus the square root of i ~the summation from i equals 2 to 4 of the

*asked by Cassy on March 15, 2016* -
## Calc

A buoy oscillates in simple harmonic motion as waves go by. The buoy moves a total of 3.5 feet from its low point to its high point and it returns to its high point every 10 seconds. What is the equation that describes this motion if it reaches its high

*asked by Emily on July 30, 2008* -
## calc

lim x → ∞ tan−1(x7 − x9)

*asked by kirsten on February 15, 2015* -
## Calc

A model for the food-price index (the price of a representative "basket" of foods) between 1984 and 1994 is given by the function I(t)=0.00009045t5+0.001438t4−0.06561t3+0.4598t2−.6270t+99.33 Where t is measured in years since midyear 1984, so

*asked by Anonymous on March 26, 2015* -
## calc

how do you start this problem: integral of xe^(-2x) There are two ways: 1) Integration by parts. 2) Differentiation w.r.t. a suitably chosen parameter. Lets do 1) first. This is the "standard method", but it is often more tedious than 2) You first write

*asked by walex on May 15, 2007* -
## Calc

Line L is tangent to the graph of y= x- (x^2/500) at the point Q a) find the x coordinate of point Q B) right an equation for line L C) suppose the graph above were a hill (measured in feet). There is a 50 foot tree growing vertically at the top of the

*asked by Aparna on January 27, 2013* -
## CALC

Use Newton's method to approximate a root of the equation x3+x+3=0 as follows. Let x1=–1 be the initial approximation. The second approximation x2 is _____? and the third approximation x3 is _____?

*asked by Adam on May 29, 2010* -
## Calc

Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave

*asked by Alex on November 6, 2010* -
## Calc

The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x2 (in dollars per yard). Find the increase in cost if the production level is raised from 3500 to 8500 yards. Increase in cost =

*asked by Danielle on April 28, 2015* -
## calc

Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 feet per sec =

*asked by Anonymous on April 17, 2015* -
## calc

A pitcher throws a baseball straight into the air with a velocity of 72 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves the pitcher's hand will it take the ball to reach its highest point? Assume the position at

*asked by ANONYMOUS on November 25, 2015* -
## calc

Show that the equation x^3-15x+c=0 has at most one root in the interval [-2,2].

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

A rocket is launched with an initial velocity of zero, and with acceleration in feet per second per second defined by: --------( 20e^(-t/2), for 0 10 seconds. Show all work. Thanks a lot!

*asked by Michael on February 22, 2008* -
## Calc

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = y i − x j + z2 k S is the helicoid

*asked by Anon on November 23, 2016* -
## Calc

A manufacture has been selling 1300 television sets a week at $420 each. A market survey indicates that for each $16 rebate offered to a buyer, the number of sets sold will increase by 160 per week. If the weekly cost function is 91000+140x, what value of

*asked by Anonymous on March 25, 2015* -
## calc

a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp post, his shadow is 12 feet long. find the rate at which the length of his shadow is increasing when he is 145 feet from the lamp

*asked by homestead high on November 3, 2016* -
## calc

he base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are semicircles. What is the volume, in cubic units, of the solid?

*asked by Anonymous on June 27, 2015* -
## Calc

At the time of the birth of a child, a parent wants to begin a college fund that will grow to $50000 by the child's 18th birthday. Interest is compounded continuously at 8.5%. What should the initial investment (P0) be?

*asked by Anonymous on April 18, 2011* -
## calc

the volume of a cylindrical tin can with a top and a bottom is to be 16*pi cubic inces. if a minimum amont of tin is to be used to construct the can, what must be the height, in inches, of the can? volume of cyliner is pi*r^2*h do i like take derivitive of

*asked by david on December 8, 2006* -
## calc

A particle moves along the x-axis with position function s(t) = e^(cos(x)). How many times in the interval [0, 2π] is the velocity equal to 0? 1 2 3 More than 3< my nswer

*asked by Mel on January 28, 2016* -
## Calc

If x2 + y2 = 100 and dy/dt = 3, find dx/dt when y = 8.

*asked by Bryan on November 8, 2009* -
## Calc

A plane is heading on a bearing of 200° with an air speed of 400 km/h when it is blown off course by a wind of 100 km/h from the northeast. Determine the resultant ground velocity of the plane.

*asked by Amy on February 21, 2015* -
## CALC

An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 5 dollars per square foot and the cost to construct the four sides is 3 dollars per square foot, determine

*asked by Jessica on April 8, 2011* -
## calc

Suppose the integral from 2 to 10 of g of x, dx equals 10 and the integral from 8 to 10 of g of x, dx equals negative 6, find the value of the integral from 2 to 8 of one-half times g of x, dx .

*asked by bri on May 24, 2018* -
## Calc

A lighthouse is fixed 130 feet from a straight shoreline. A spotlight revolves at a rate of 11 revolutions per minute, (22 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 12 feet

*asked by Bubba on February 14, 2011* -
## Calc

The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false? The graph of f is always concave up. The graph of f has an inflection point at x = 0. The graph of f has a relative minimum at x =

*asked by Muhammad Ahmed on December 15, 2016* -
## calc

1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. c. Find the volume of

*asked by naseba on March 29, 2012* -
## Calc

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 13 cm. (Note the answer is a positive number).

*asked by Cc on November 20, 2015* -
## calc

find a positive value of k such that the area of the region enclosed between y= kcosx and y=kx^2 is 2 i graphed cosx and x^2 without the k, so you know to find the integral of -a to a (its symmetric about the origin) would be the integral of kcosx - kx^2

*asked by Anonymous on December 23, 2007* -
## calc

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) − sin(t) and v(0) = 3.

*asked by Anonymous on June 14, 2015* -
## Calc

The maker of an automobile advertises that it takes 13 seconds to accelerate from 25 kilometers per hour to 90 kilometers per hour. Assuming constant acceleration, compute the following. The acceleration in m/s^2 The distance the car travels during the 13

*asked by Kelly on November 18, 2016* -
## Calc

Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3 , find the value of the integral from 2 to 5 of 3 times g of x, dx

*asked by Anonymous on February 26, 2017* -
## calc

For an object whose velocity in ft/sec is given by v(t) = −3t2 + 6, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs?

*asked by Anonymous on June 27, 2015* -
## calc

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the

*asked by david on December 12, 2006* -
## Calc

How do you integrate sin²x?

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

Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the

*asked by Tyler on May 1, 2013* -
## Calc

Use a graph to estimate the limit: lim θ->0 (sin(5θ)/θ) Note: θ is measured in radians. All angles will be in radians in this class unless otherwise specified. I tried graphing it on my calculator but the limit I got is incorrect.

*asked by Josie on January 25, 2011* -
## calc

A particle moves along the curve below. y = sqrt(8 + x^3) As it reaches the point (2, 4), the y-coordinate is increasing at a rate of 5 cm/s. How fast is the x-coordinate of the point changing at that instant?

*asked by kirsten on March 5, 2015* -
## Calc

Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(-3.23x10-5h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given by travelers is that

*asked by Andy on October 23, 2012* -
## Calc

Two commercial airplanes are flying at an altitude of 40,000 ft along straight-line courses that intersect at right angles. Plane A is approaching the intersection point at a speed of 427 knots (nautical miles per hour; a nautical mile is 2000 yd or 6000

*asked by Anonymous on October 1, 2013* -
## Calc

The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and the wind velocity (v), in miles per hour (mph). If the air temperature is 32degrees Fahrenheit, then the wind chill is given by

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

A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum

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

Give a 4-term left Riemann sum approximation for the integral below. 16 ⌠ 3*((x+2)^(1/2)) ⌡ 12

*asked by Anonymous on July 17, 2014* -
## Calc

A cup of coffee at 90 degrees celsius is put into a 30 degree celsius room when t =0 . The coffee's temperature, f (t ) , is changing at a rate given by f '(t )=-8(0 .8) t degrees celsius per minute, where t is in minutes. Estimate the coffee's temperature

*asked by Natalie on July 21, 2014* -
## Calc

Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $12/ft2 and the wood costs $9/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to

*asked by Coc on November 4, 2015* -
## calc

You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for its hamburgers in order to maximize its weekly revenue. To make life as simple as possible, you assume that the demand equation

*asked by lc on November 2, 2011* -
## calc

Give the starting value a, the growth rate r, and the continuous growth rate k. Round the answer for r to two decimal places Q = 0.414(e^0.885)^t a = ? r = ?% k = ?% I found a to be 0.414 but when finding the percentage for r and k I got stuck.

*asked by lenny on October 3, 2014* -
## Calc

A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

*asked by Aparna on January 27, 2013* -
## Calc

When pi/2

*asked by Leanna on July 15, 2011* -
## calc

Use the graph of f(t) = 2t + 4 on the interval [−4, 6] to write the function F(x), where f of x equals the integral from 2 to x of f of t dt.

*asked by Anonymous on August 3, 2015* -
## calc

A girl of height 120 cm is walking towards a light on the ground at a speed of 0.6 m/s. Her shadow is being cast on a wall behind her that is 5 m from the light. How is the size of her shadow changing when she is 1.5 m from the light?

*asked by poo on July 15, 2017* -
## Calc

The function j(x)=sqrt(x+1)+b/x^2 has a critical (turning) point at x = 3. Determine the value for the constant b. Show your work.

*asked by Anonymous on May 29, 2019* -
## Calc

Find the linear approximation of the function g(x) = fifth root(1 + x) at a = 0. g(x)≈ 1+(x/5) Correct: Your answer is correct. Use it to approximate the numbers fifth root (0.95) and fifth root (1.1) (Round your answers to three decimal places.)

*asked by Anonymous on May 11, 2018* -
## Calc

How do I evaluate lim as h->0 [5((1/2)+h)^4 - 5(1/2)^4]/h

*asked by Nick on January 6, 2009* -
## Calc

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 4x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

*asked by LilPeep on January 3, 2018* -
## calc

Use the graph of f(t) = 2t + 4 on the interval [−4, 6] to write the function F(x), where f of x equals the integral from 2 to x of f of t dt.

*asked by Anonymous on August 3, 2015* -
## calc

Calculate the 5-unit moving average of the function f(x) = x^2/3

*asked by kyle on November 26, 2013* -
## calc

evaluate the integral: y lny dy i know it's integration by parts but i get confused once you have to do it the second time Leibnitz rule (a.k.a. product rule): d(fg) = f dg + g df y lny dy = d[y^2/2 ln(y)] - y/2 dy ----> Integral of y lny dy = y^2/2 ln(y)

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

If f(x) = e^(sin x), how many zeros does f '(x) have on the closed interval [0, 2π]?

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

A a conical container of radius 5ft and height 20ft is filled to a height of 18ft of a liquid weighing 50.6lb/ft^3. How much work will it take to pump the contents to the rim? How much work will it take to pump the liquid of a level of 2ft above the rim?

*asked by Anonymous on February 10, 2013* -
## Calc

Consider the cubic polynomial y=Ax^3 +6x^2 -Bx, where A and B are unknown constants. If possible determine the values of A and B so that the graph of y has a maximum value at x=-1 and an inflection point at 1.

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

If R = [−2, 2] × [−2, 0], use a Riemann sum with m = 4, n = 2 to estimate the value of (y2 − 2x2) dA. Take the sample points to be the upper left corners of the squares.

*asked by Anon. on October 11, 2016* -
## Calc

Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part that really confuses me.

*asked by Chelsea on September 20, 2010* -
## calc

If a point moves on the hyperbola x^2-4y^2=36 in such a way that x-coordinate increases at constant rate of 20 units per second. How fast is the y coordinated changing at point (10,4)? please help!!! Differentiating implicitly with respect to t, 2 x dx/dt

*asked by keneth on November 9, 2006* -
## Calc

A body of an unknown temperature was placed in a room that was held at 30°F. After 10 minutes, the body's temperature was 0°F, and 20 minutes after the body was placed in the room the body's temperature was 15°F. Estimate the body's initial temperature.

*asked by Erica on January 6, 2011* -
## Calc

An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 3 km east of the refinery. The cost of laying pipe is $300,000 per

*asked by Aaron on November 30, 2009* -
## Calc

A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is

*asked by Nicole on January 25, 2013* -
## calc

a) A car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 40 ft/s^2. What is the distance covered before the car comes to a stop? b) A car braked with a constant deceleration of 40 ft/s^2 and produced skid

*asked by Jill on November 22, 2009* -
## Calc

Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 0.5 times the width w of the rectangle (as shown in the figure below). If the cross-sectional area is A, determine the dimensions of the

*asked by Storme on April 9, 2016* -
## Calc

Let f be the function given by f(x)=2ln(x^2+3)-x with domain -3 is less than or equal to x which is less than or equal to 5 a) Find the x-coordinate of each relative maximum point and each relative minimum point of f. Justify your answer. b) Find the

*asked by Bob on January 8, 2009* -
## Calc

A person deposits money into a retirement account, which pays 7% interest compounded continuously, at a rate of $1000 per year for 20 years. Calculate: a. The balance of the account at the end of 20 years b. the amount of money actually deposited into the

*asked by James on April 8, 2008* -
## calc

Find the interval on which the curve y= integral x to 0 of 6/(1+2t+t^2) dt is concave upward

*asked by Anonymous on June 7, 2015* -
## calc

When 30 orange trees are planted per acre each tree yields 150 oranges For each additional tree per acre, the yield decreases by 3 oranges per tree. Express the total yield of oranges per acre, Y , as a function of the number of trees planted per acre, x,

*asked by sara on December 2, 2013* -
## calc

An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.

*asked by Anonymous on June 29, 2015*