# differential calculus

Popular questions-
## Differential Calculus

At 9am ship B is 65 miles due east of another ship A. Ship B is then sailing due west at 10mi/h and A is sailing due south at 15 mi/hr if they continue in their respective course when will they be nearest to one another? and how near?

*asked by Darcy ( Please Reply, thank you) on December 9, 2013* -
## differential calculus

a man 6 ft tall is walking toward a building at the rate of 4 ft/sec. if there is a light on the ground 40 ft from the building, how fast is the man's shadow on the building growing shorter when he is 30 ft from the building?

*asked by jordan on October 14, 2015* -
## Differential calculus

Find the most economical proportions for a covered box of fixed volume whose base is a rectangle with one side three times the other.

*asked by Mohammed on November 26, 2016* -
## Differential Calculus

The base of an isosceles triangle is 10 feet long and the base angles are decreasing at a rate of 2° per second. Find the rate of change of the area when the base angles are 45°.

*asked by Serena on May 11, 2016* -
## differential calculus

a ferris wheel 15m in diameter makes 1 revolution every 2 minutes. If the center of the wheel is 9m above the ground, how fast is the passenger in the wheel moving vertically when he is 12.5m above the ground?

*asked by Adler on August 8, 2011* -
## Differential Calculus

A water trough is 10 m long and a cross section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If trough is being filled with water at the rate of 0.2 m^3/min how fast is the water

*asked by GRAY on September 5, 2016* -
## differential calculus

a right circular cylinder has a fixed height of 6 units. Find the ratio of change of its volume(v) with respect to the radius(r) of its base.

*asked by wen on July 27, 2011* -
## Differential Calculus

A clock has hands 1 and 1 3/5 inches long respectively. At what rate are the ends of the hands approaching each other when the time is 2 o'clock?

*asked by Serena on May 12, 2016* -
## differential calculus

ADIABATIC EXPANSION when a certain polyatomic gas undergoes adiabatic expansion,its pressure p and volume V satisfy the equation pV^1.3 =k,where k is constant.Find the relationship between the related rates dp/dt and dV/dt. this is a problem of related

*asked by =) on September 16, 2014* -
## differential calculus

ANGLE OF ELEVATION A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer.Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground.

*asked by =) on September 16, 2014* -
## Differential calculus

A gutter with trapezoidal cross section is to be made from a long sheet of tin 8 in wide by turning up one third of its width on each side , what width a cross the top that will give a maximum capacity

*asked by Grace on August 23, 2015* -
## Differential calculus

The voltage across the plates of a capacitor at any time t seconds is given by V=Ve -t/CR, where V,C and r are constants. Given V = 300 Volts, C =0.12*10-6 F and R = 4*10 6 ohms Find the initial rate of change of voltage and the rate of change of voltage

*asked by lee on June 30, 2015* -
## Differential Calculus

a person standing at the edge of a cliff throws a rock directly upward. it observed that 2 seconds later, the rock is it maximum height and that 5 seconds after it reached the highest point, it hits the ground at the base of the cliff. what is the initial

*asked by rex on April 28, 2015* -
## differential calculus

a right circular cylinder has a fixed height of 6 units. Find the ratio of change of its volume(v) with respect to the radius(r) of its base.

*asked by wen on July 27, 2011* -
## Differential calculus

reservoir has the shape of a right-circular cone. The altitude is 10 feet, and the radius of the base is 4 ft. Water is poured into the reservoir at a constant rate of 5 cubic feet per minute. How fast is the water level rising when the depth of the water

*asked by Mohammed on November 26, 2016* -
## Differential calculus

A ladder 20 ft long leans against a vertical wall, If top slides downward at the rate of 2 ft/sec, find how fast the lower end is moving when it is 16 ft from the wall.

*asked by Mohammed on November 26, 2016* -
## Differential calculus

A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward the building at the rate of 5 ft/sec. Find the rate at which the length of his shadow is changing when he is 15 ft from the building.

*asked by Mohammed on November 26, 2016* -
## Differential calculus

(1) lim x^3 - 125/x--;5 x^2 - 25 1. Lim as x approaches what? arrow sign

*asked by matrix school 2 on August 13, 2009* -
## differential calculus

a bed is in a form of a circular sector. find its radius if the area of the sector is 1000 centimeter square and its perimeter is a minimum

*asked by len on July 31, 2013* -
## Differential calculus

A triangle has a base of 16 inches and an altitude of 8 inches. Find the dimentions of the largest rectangle that can be inscribed in the triangle if the base of the rectangle coincides with the base of the triangle

*asked by Anonymous on October 2, 2018* -
## Differential Calculus

A norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window 10 m, express the area A of the window as the function of width x of the window.

*asked by GRAY on June 28, 2016* -
## Differential Calculus

From a faucet, a constant inflow of water is to fill a conical vessel 15 feet deep and 7.5 feet in diameter at the top. water is rising at the rate of 2 feet per minute when the water is 4 feet deep. what is the rate of inflow in ft^3/min?

*asked by Patricia on May 18, 2016* -
## Differential calculus

Given that f(x)=x, g(x)=x-1: h(x)=sqrtx-1. find f0g0h.

*asked by matrix school 2 on August 12, 2009* -
## Differential Calculus

A conical tank with height is 10 and radius is 5 is being filled with water at 4m^3/s. Solve how fast is the water when = 3m

*asked by Jervis on October 11, 2016* -
## differential calculus

a SECURITY CAMERA is centered 50 feet above a 100-foot hallway. it is easiest to design the camera with a constant angular rate of rotation, but this results in a variable rate at which the images of the surveillance area are recorded. so, it is desirable

*asked by =) on September 16, 2014* -
## differential calculus

a pc of wire 10feet long is cut into 2 pcs. one piece is bent into the shape of a circle and the other into the shape of a square. how should the wire be cut so that the combined area is as large as possible?

*asked by jr on July 10, 2013* -
## differential calculus

A container open at the top is a right circular cylinder having a surface area of 108 cm^3. What should the radius and altitude be in order to provide the largest possible volume?

*asked by mikmik on October 23, 2019* -
## Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^y - siny = 0

*asked by Billy Bob on November 17, 2016* -
## Differential calculus

A piece of wire of length 2 m. is cut into two parts, one of which is bent into the shape of a square and the other into a shape of a circle. How should the wire be cut so that sum of the enclosed areas is minimum.

*asked by Mohammed on November 26, 2016* -
## Differential calculus

Given that f(x)=x, g(x)=x-1: h(x)=sqrt(x-1) find f0g0h.

*asked by Matrix school 2 on August 12, 2009* -
## Differential Calculus

use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h) -lnx]/h as h approaches 0 = 1/x, where x>0

*asked by Kristen on November 8, 2008* -
## differential calculus

A bulldozer costs $120,000 and each year it depreciates 8% of its original value. Find a formula(equation) for the value V of the bulldozer after t years.

*asked by christine on September 13, 2016* -
## differential calculus

Find how fast (a) the circumference (b)the area, if a cicle increases when the radius increases.

*asked by wen on July 27, 2011* -
## Differential calculus

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.

*asked by Mohammed on November 16, 2016* -
## Differential Calculus

Given that p=(2q^2 - 5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage change in p.

*asked by matrix school 2 on August 11, 2009* -
## Differential Calculus

use the rule that says limit of (e^h - 1)/h = 1 as h approaches 0 to show that the limit of [ln(x+h)-lnx]/h as h approaches 0 = 1/x, where x>0

*asked by Kristen on November 7, 2008* -
## Differential calculus

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.

*asked by Mohammed on November 8, 2016* -
## Differential Calculus

Determine all local extrema, concavity and inflection point/s for y = -2cos(x) in (0, 2Pi). Test by both First Derivative Test and Second Derivative Test and sketch the graph.

*asked by Sel on January 20, 2016* -
## Differential Calculus

Hi pls help me i dunno what to do show me complete solution please please Thank you. a piece of wire 10ft. long is cut into two pieces , one piece is bent into the shape of a circle and the other into the shape of a square. How should the wire be cut so

*asked by Ella on March 29, 2015* -
## Differential calculus

Find the equation of the parabola w/ v(3,-4) and with directrix y=0.

*asked by Mohammed on November 14, 2016* -
## differential calculus

Beth leaves Muskegon, 30 mile north of Holland, traveling at 60 mph. Alvin leaves Holland traveling north at V=20t+40 mi/hr. When will Alvin pass Beth? How far from Holland will they be? :I think Beth's distance is d=60t-30 (using Holland as the frame of

*asked by Yo on May 7, 2016* -
## Differential Calculus

y = 1 + (x-1)^(1/2) Considering the interval (2,4), calculate delta(y) and dy. would delta(y) be: delta(y) = f(4) - f(2) = (1 + squr(3) ) - 2 = squr(3) - 1 and dy is 1/(2 squr(x-1)) dx Thank you

*asked by Jer on April 28, 2012* -
## Differential Calculus

y = 1 + (x-1)^(1/2) Considering the interval (2,4), calculate delta(y) and dy. would delta(y) be: delta(y) = f(4) - f(2) = (1 + squr(3) ) - 2 = squr(3) - 1 and dy is 1/(2 squr(x-1)) dx Thank you

*asked by Jeremy on April 27, 2012* -
## Differential Calculus

A ball thrown up has a height f(t)=250t-25t^2 after t seconds. (1) find the maximum height (2) find the velocity when it hits the ground.

*asked by matrix school 2 on August 10, 2009* -
## Differential calculus

Differentiate the following y=root(e^x)/x

*asked by Mohammed on October 26, 2016* -
## differential calculus

find the implicit function of x^3+3^y=3xy

*asked by sofia on August 16, 2011* -
## differential calculus

use the product rule to find the derivatives of the given function y=(3x^2-8)^2

*asked by ash on April 30, 2011* -
## Differential Calculus

Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p. solution dp = 2(2q^2-5) (2dq) dp = (4x(18-5)(0.7%) dp = 4(13)(0.7%) am lost from here is dp=52x0.7/100= 0.364% Responses Differential Calculus - bobpursley,

*asked by matrix school 2 on August 14, 2009* -
## Differential calculus

Sketch the graph of the curve y=(x-2)(x+1)(x+3)

*asked by Mohammed on November 23, 2016* -
## Differential Calculus

you have the expression for dp. q=3, dq=.007*3 Now solve for dp and solve for P at q=3 percentage change in p then is dp/p divided by 100. alright... dp(2q^2-5)^2, dp/dq = 2(2q^2-5) dp = 0.007x3 = 0.021 dp = (2(2(2)^2-5)^2 = (6)^2 = 36 36x0.021 = 0.756

*asked by matrix school 2 on August 14, 2009* -
## differential calculus

differentiate g(t)=3/sqrt(t)

*asked by Anonymous on September 26, 2015* -
## differential calculus

y = sin x find the derivative...

*asked by Cathy on June 26, 2013* -
## Differential Calculus

Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p.

*asked by matrix school 2 on August 14, 2009* -
## Differential calculus

Given that y=x^3/3-2x^2+3x+2 find its turning points and state their nature

*asked by matrix school 2 on August 11, 2009* -
## Differential calculus

Given that x=sinht and y=-cosht. find: dx/dy

*asked by matrix school 2 on August 11, 2009* -
## Differential Calculus

Find the limit of (10^x - 5^x)/x as x approaches 0

*asked by Kristen on November 7, 2008* -
## differential calculus

differentiate h(x)= 6x^2 - 1 / x^4 + 5x + 1

*asked by matrix10 on October 15, 2008* -
## Differential Calculus

Given that p=(2q^2-5)^2. when q=3, it is increased by 0.7%. find the appropriate percentage in p. solution dp = 2(2q^2-5) (2dq) dp = (4x(18-5)(0.7%) dp = 4(13)(0.7%) am lost from here is dp=52x0.7/100= 0.364%

*asked by matrix school 2 on August 14, 2009* -
## Differential Calculus

(1) lim x^3 - 125/x5 x^2 - 25 (2)find the inverse of the function f(x)=7x+5

*asked by matrix school 2 on August 12, 2009*