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December 20, 2014

December 20, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus please help me**

f(x) = \frac{ x^3 }{ x^2 - 25 } defined on the interval [ -18, 18 ]. Enter points, such as inflection points in ascending order, i.e. smallest x values first. Enter intervals in ascending order also. The function f(x) has vertical asympototes at (? )and (?) . f(x) is concave ...
*Tuesday, November 4, 2014 at 9:35am*

**Calculus**

Given f(2)=5, f'(2)=-1 find the value of d/dx[1/sqrt(f(2x))] when x=1
*Tuesday, November 4, 2014 at 2:32am*

**Calculus**

1. On what interval is the function f(x)=x^3-4x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^3-3x^2-6x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what point on the curve y=1+2e^x - 3x is the ...
*Tuesday, November 4, 2014 at 1:00am*

**Calculus**

Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals: 2. f is decreasing on the intervals: 3. The relative maxima of f occur at x = 4. The ...
*Tuesday, November 4, 2014 at 12:10am*

**Calculus**

Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
*Monday, November 3, 2014 at 11:26pm*

**Calculus **

Your firm offers to deliver 250 tables to a dealer, at $160 per table, and to reduce the price per table on the entire order by 50 cents for each additional table over 250. Find the dollar total involved in the largest possible transaction between the manufacturer and the ...
*Monday, November 3, 2014 at 8:55pm*

**calculus**

A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?
*Monday, November 3, 2014 at 8:07pm*

**Calculus **

Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx - x (0,2ð)
*Monday, November 3, 2014 at 12:22pm*

**Calculus**

find the intervals on which f(x) is increasing and decreasing along with the local extrema. f(x)=x^4 + 18x^2 I took the derivative and got: f'(x)= 4x^3 + 36x When I set this to zero, I get the imaginary number 3i. I can't get test values for an imaginary numbers, so I ...
*Monday, November 3, 2014 at 12:17pm*

**Pre calculus**

Find the rectangular equation for the given polar coordinates: R=(7/(5+4sin theta))
*Monday, November 3, 2014 at 2:49am*

**Calculus**

The function f(x) = 5x sqrt x+2 satisfies the hypotheses of the Mean Value Theorem on the interval [0,2]. Find all values of c that satisfy the conclusion of the theorem. How would you use the MVT? I tried taking the derivative, in which resulted in 5sqrtx+2 + (5x/2sqrtx+2) ...
*Monday, November 3, 2014 at 1:35am*

**Calculus**

Determine the equation of the tangent line at the indicated -coordinate. f(x) = e^(-0.4x) * ln(18x) for x= 3 The equation of the tangent line in slope-intercept form is
*Sunday, November 2, 2014 at 7:52pm*

**Calculus I**

Semelparous organisms breed only once during their lifetime. Examples of this type of reproduction strategy can be found with Pacific salmon and bamboo. The per capita rate of increase, r, can be thought of as a measure of reproductive fitness. The greater r, the more ...
*Sunday, November 2, 2014 at 5:22pm*

**calculus**

integration of x^2/(x+3)sq.root of 3x+4 w.r.t. x
*Sunday, November 2, 2014 at 6:50am*

**Calculus**

Use the product rule to find the derivative of the following. k(t)=(t^2-4)^2 k'(t)=
*Sunday, November 2, 2014 at 1:01am*

**Calculus**

A rocket is fired vertically into the air at the rate of 6 miles/min. An observer on the ground is located 4 miles from the launching pad. When the rocket is 3 miles high, how fast is the angle of elevation between the rocket and the observer changing? Specify units.
*Sunday, November 2, 2014 at 12:44am*

**Calculus**

Wheat is poured through a chute at the rate of 10 ft^3/min and falls in a cone-shaped pile whose bottom radius is always half its height. How fast is the height of the cone increasing when the pile is 8 feet high? Volume of a cone=1/3(pi)r^2h
*Sunday, November 2, 2014 at 12:42am*

**Calculus**

Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
*Sunday, November 2, 2014 at 12:40am*

**Calculus**

An ant is walking along the curve x^2+xy+y^2=19. If the ant is moving to the right at the rate of 3 centimeters/second, how fast is the ant moving up or down when the ant reaches the point (2,3)? Specify direction.
*Sunday, November 2, 2014 at 12:38am*

**Calculus**

A stone is thrown into a calm pond and circular ripples are formed at impact. If the radius expands at the rate of 0.5 feet/second, how fast is the circumference and the area of the ripples growing when the radius is 3 feet?
*Sunday, November 2, 2014 at 12:36am*

**Calculus**

A right circular cylinder is changing shape. The radius is decreasing at the rate of 2 inches/second while its height is increasing at the rate of 5 inches/second. When the radius is 4 inches and the height is 6 inches, how fast is the a) volume changing (V=(pi)r^2h) b) ...
*Sunday, November 2, 2014 at 12:34am*

**Calculus**

A rectangle is 2 feet by 15 inches. Its length is decreasing by 3 inches/minute and its width is increasing at 4 inches/minute. How fast is the a) perimeter changing b) area changing
*Sunday, November 2, 2014 at 12:33am*

**Calculus**

In 1907 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards to 10 miles. His formula given by t=.0588s^1.125 where s is the distance in meters and t is the time to run the distance is seconds...
*Saturday, November 1, 2014 at 10:58pm*

**Calculus**

Assume that a demand equation is given by q=9000-100p. Find the marginal revenue for the given production levels. a. 500 Units the marginal revenue at 500 units is
*Saturday, November 1, 2014 at 10:49pm*

**Math**

Jane grows several varieties of plants in a rectangular-shaped garden. She uses fencing to divide the garden into 16 squares that are each 1 m by 1 m. She also puts fencing around the perimeter of the garden. What should the dimensions of the garden be so that Jane uses the ...
*Saturday, November 1, 2014 at 7:06pm*

**Calculus**

The blood alcohol concentration after a drink has been consumed can be modelled by c(t)=(0.02t)e^(−0.05t) where t is the time in minutes elapsed after the consumption of the drink and c(t) is the concentration in mg/mL at t. At what time in the first hour after consuming...
*Saturday, November 1, 2014 at 12:31pm*

**calculus**

Suppose the volume, V , of a spherical tumour with a radius of r = 2 cm uniformly grows at a rate of dV/dt= 0.3 cm^3/day where t is the time in days. At what rate is the surface area of the tumour increasing? The volume of a sphere is given by V =4 3πr^3and the surface ...
*Saturday, November 1, 2014 at 12:04pm*

**calculus**

The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.
*Friday, October 31, 2014 at 8:29pm*

**calculus**

Consider the function f(x) = x^4 - 18 x^2 + 4, \quad -2 \leq x \leq 7. This function has an absolute minimum value equal to and an absolute maximum value equal to
*Friday, October 31, 2014 at 8:28pm*

**calculus**

Let g(x)=(4x)/(x^2+1) on the interval [-4,0]. Find the absolute maximum and absolute minimum of g(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=
*Friday, October 31, 2014 at 8:28pm*

**Calculus**

Let f(t)=t\sqrt{4-t} on the interval [-1,3]. Find the absolute maximum and absolute minimum of f(t) on this interval. The absolute max occurs at t=. The absolute min occurs at t=
*Friday, October 31, 2014 at 8:27pm*

**calculus**

Let g(s)=1/(s-2) on the interval [0,1]. Find the absolute maximum and absolute minimum of g(s) on this interval. The absolute max occurs at s=. The absolute min occurs at s=
*Friday, October 31, 2014 at 8:27pm*

**calculus**

Let f(x)=-x^2+3x on the interval [1,3]. Find the absolute maximum and absolute minimum of f(x) on this interval. The absolute max occurs at x=. The absolute min occurs at x=
*Friday, October 31, 2014 at 8:26pm*

**calculus**

Find the linear approximation of f(x)=\ln x at x=1 and use it to estimate ln 1.12. L(x)= . ? ln 1.12 \approx ?
*Friday, October 31, 2014 at 8:25pm*

**calculus**

Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 3 is y= ?. Using this, we find our approximation for 2.7 ^3 is
*Friday, October 31, 2014 at 8:18pm*

**Calculus**

Using an appropriate linear approximation approximate 26.9^(4/3).
*Friday, October 31, 2014 at 6:11pm*

**Calculus**

Let f(x) = \sqrt[3] x. The equation of the tangent line to f(x) at x = 125 is y = Using this, we find our approximation for \sqrt[3] {125.4} is =
*Friday, October 31, 2014 at 3:30pm*

**calculus please help asap**

true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians. c) There are an ...
*Friday, October 31, 2014 at 12:58pm*

**calculus**

The linear approximation at x = 0 to f(x) = \sin (5 x) is y =
*Friday, October 31, 2014 at 12:30pm*

**calculus**

The linear approximation at x = 0 to f(x) = \sqrt { 5 + 4 x } is y =
*Friday, October 31, 2014 at 12:28pm*

**Calculus**

Let f(x) = \sqrt[3] x. The equation of the tangent line to f(x) at x = 125 is y = . Using this, we find our approximation for \sqrt[3] {125.4} is
*Friday, October 31, 2014 at 12:28pm*

**Calculus**

The equation of the tangent line to f(x) = \sqrt{x} at x = 64 is y =
*Friday, October 31, 2014 at 12:26pm*

**Calculus**

let y=2x^2 +5x+3 Find the differential dy when x= 5 and dx = 0.1 Find the differential dy when x= 5 and dx = 0.2
*Friday, October 31, 2014 at 9:28am*

**Calculus**

Find the slope of the tangent line to the graph of the given function at the given value of x. y=-5x^1/2+x^3/2; x=25
*Friday, October 31, 2014 at 2:50am*

**Calculus**

Find the slope and equation of the tangent line to the graph of the function at the given value of x. f(x)=x^4-20x^2+64;x=-1
*Friday, October 31, 2014 at 2:45am*

**Calculus**

h(x)=(x^12-2)^3 h'(x)=
*Friday, October 31, 2014 at 2:26am*

**Calculus **

Suppose an E. coli culture is growing exponentially at 37 ◦C. After 20 minutes at that temperature, there are 1.28×10^7 E. coli cells. After 60 minutes, there are 2.4×10^7 cells. How long does it take for the culture to have double the amount of cells that it...
*Thursday, October 30, 2014 at 10:09pm*

**Calculus**

Find the derivative of the function. h(x)=(x^10-1)^3 h'(x)=
*Thursday, October 30, 2014 at 6:54pm*

**calculus**

A woman pulls a sled which, together with its load, has a mass of m kg. If her arm makes an angle of θ with her body (assumed vertical) and the coefficient of friction (a positive constant) is μ, the least force, F, she must exert to move the sled is given by If &#...
*Thursday, October 30, 2014 at 9:01am*

**Calculus**

A wire of length 12 meter is cut into two parts; one part is bent to form a square, and the other is bent to form an equilateral triangle. Where the cut cut should be made if a) the sum of the two areas is to be a maximum? b) the sum of the two areas is be a minimum?
*Thursday, October 30, 2014 at 4:19am*

**math**

A manufacturing company finds that the daily cost of producing x items of a product is given by c(x)=210x + 7000. Find x using calculus
*Wednesday, October 29, 2014 at 8:30pm*

**Calculus**

Find the points at which y = f(x) = x^11-6x has a global maximum and minimum on the interval 0 ¢®A x ¢®A 4 Round your answers to two decimal places. Global Maximum: (x,y) = (,) Global Minimum: (x,y) = (,)
*Wednesday, October 29, 2014 at 10:27am*

**Calculus**

Find the points at which y = f(x) = x^11-6x has a global maximum and minimum on the interval 0 ¡Â x ¡Â 4 Round your answers to two decimal places. Global Maximum: (x,y) = (,) Global Minimum: (x,y) = (,)
*Wednesday, October 29, 2014 at 10:26am*

**Calculus**

New York state income tax is based on taxable income which is part of a person's total income. The tax owed to the state is calculated using taxable income (not total income). In 2005, for a single person with a taxable income between $20,000 and $100,000, the tax owed ...
*Wednesday, October 29, 2014 at 1:38am*

**Calculus**

A balloon rises at the rate of 8 feet per second from a point on the ground 60 feet from an observer. Find the rate of change of the angle of elevation when the balloon is 25 feet above the ground. I have d(theta)/dt=(1/60)cos^2(theta)(8) How do I find theta?
*Wednesday, October 29, 2014 at 1:31am*

**AP Calculus**

Are infinite discontinuities removable? Also, please help me with this question: f(x)=x^2+4x+3 / x^2-9 has one removable discontinuity and one vertical asymptote. Find and identify the x-value for each. I found the asymptote at x=3, but please help for the discontinuity. Thanks!
*Tuesday, October 28, 2014 at 11:32pm*

**Calculus**

Find the point(s) (if any) of horizontal tangent lines: x^2+xy+y^2=6
*Tuesday, October 28, 2014 at 11:27pm*

**Calculus HELP PLEASE!**

Need help on this problem please! Been stuck for half hour trying to figure it out but I can't get through a. A and B look to be similar but I don't know how to do them! Please help! ----------------------------------- The resistance of blood flow, R, in a blood vessel...
*Tuesday, October 28, 2014 at 10:46pm*

**Calculus**

Find the work done by F(x,y,z)=(x^2y)i=(x-z)j+(xyz)k where c=(t)i+(t^2)j+(2)k, 0<t<1. The answer is supposed to be -17/15, but i keep getting -13/10. Any help on the process would be appreciated.
*Tuesday, October 28, 2014 at 7:09pm*

**Calculus**

A human cannonball is shot from a cannon at a speed of 21 meters per second at an angle of 20 degrees; how long before his height is 0? How far did he travel in that time?
*Tuesday, October 28, 2014 at 7:05pm*

**Calculus **

Consider the function f(x)=(x^2)e^(14x) f(x) has two inflection values at x = C and x = D with C≤D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (−∞,C]: [C,D]: [D,∞)
*Tuesday, October 28, 2014 at 5:52pm*

**Calculus **

The mass, M, of a child can be approximated based on the height, H, of the child. The height of the child can be projected based on the child's age, A. a) State the chain rule for the derivative of the mass with respect to age (ie. find dM/dA) b) Suppose that an allometric...
*Tuesday, October 28, 2014 at 5:06pm*

**Calculus 1**

The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood vessel, the radius of the blood vessel, and the viscosity of the blood. This relationship is given by R = 8Lη/πr^4 where r is the radius, L is the length, and the positive ...
*Tuesday, October 28, 2014 at 5:05pm*

**Calculus **

A ball is thrown up on the surface of a moon. Its height above the lunar surface (in feet) after t seconds is given by the formula h=308t−(14/6t^2) Find the time that the ball reaches its maximum height. Answer = Find the maximal height attained by the ball Answer =
*Tuesday, October 28, 2014 at 4:28pm*

**Calculus **

The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of printed material on the poster is fixed at 380 square centimeters, find the dimensions of the poster with the smallest area. Width = Height =
*Tuesday, October 28, 2014 at 4:24pm*

**Calculus **

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 49 feet?
*Tuesday, October 28, 2014 at 4:24pm*

**Calculus **

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=4−x^2. What are the dimensions of such a rectangle with the greatest possible area? Width = Height =
*Tuesday, October 28, 2014 at 4:23pm*

**Calculus 1**

The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood vessel, the radius of the blood vessel, and the viscosity of the blood. This relationship is given by R = 8Lη/πr^4 where r is the radius, L is the length, and the positive ...
*Tuesday, October 28, 2014 at 4:18pm*

**Calculus 1**

The mass, M, of a child can be approximated based on the height, H, of the child. The height of the child can be projected based on the child's age, A. a) State the chain rule for the derivative of the mass with respect to age (ie. find dM/dA) b) Suppose that an allometric...
*Tuesday, October 28, 2014 at 4:16pm*

**calculus**

3) f(x)=x^(2)/6x^(2)+4. List the x values of the inflection points of f.
*Tuesday, October 28, 2014 at 2:53pm*

**Calculus **

The top of a 13 foot ladder is sliding down a vertical wall at a constant rate of 4 feet per minute. When the top of the ladder is 5 feet from the ground, what is the rate of change of the distance between the bottom of the ladder and the wall
*Monday, October 27, 2014 at 7:07pm*

**Calculus: need clarification to where the #'s go**

A particle is moving along the curve y= 2 \sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant. *I just need step by ...
*Monday, October 27, 2014 at 1:13pm*

**Calculus: need clarification to where the #'s go**

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 \mbox{cm}^3\mbox{/s}. How fast is the surface area of the balloon increasing when its radius is 14 \mbox{cm}? Recall that a ball of radius r has volume \displaystyle V=\frac{4}{3}\pi r^3 ...
*Monday, October 27, 2014 at 11:30am*

**Calculus: need clarification to where the #'s go**

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 330 cubic centimeters and the pressure is 79 kPa and is decreasing at a ...
*Monday, October 27, 2014 at 10:46am*

**Calculus**

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 24 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
*Monday, October 27, 2014 at 10:06am*

**Calculus - PLEASE HELP!**

Find al points where tangent lines to: (x^2+y^2)^(3/2) = sqrt(x^2+y^2) + x is either horizontal or vertical using implicit differentiation.
*Monday, October 27, 2014 at 1:25am*

**Calculus**

A person whose height is 6 feet is walking away from the base of a streetlight along a straight path at 4 feet per second. If the height of the streetlight is 15 feet, what is the rate at which the person's shadow is lengthening?
*Monday, October 27, 2014 at 1:06am*

**Calculus **

If y=sqrt (x^2+16), then d^2y/dx^2=?
*Monday, October 27, 2014 at 12:50am*

**Calculus**

A sphere is increasing in volume at the rate of 3(pi) cm^3/sec. At what rate is the radius changing when the radius is 1/2 cm? The volume of a sphere is given by V=4/3(pi)r^2 A. pi cm/sec B. 3 cm/sec C. 2 cm/sec D. 1 cm/sec E. .5 cm/sec
*Monday, October 27, 2014 at 12:46am*

**Calculus**

If (x+2y)dy/dx=2x-y, what is the value of d^2y/dx^2 at the point (3,0)? A. -10/3 B. 0 C. 2 D. 10/3 E. Undefined
*Monday, October 27, 2014 at 12:27am*

**Calculus**

If f(x)=sqrt (x^2-4) and g(x)=3x-2, then the derivative of f(g(x)) at x=3 is A. 7/sqrt 5 B. 14/sqrt 5 C. 18/sqrt 5 D. 15/sqrt 21 E. 30/sqrt 21
*Monday, October 27, 2014 at 12:11am*

**Calculus**

A sphere is increasing in volume at the rate of 3(pi) cm^3/sec. At what rate is the radius changing when the radius is 1/2 cm? The volume of a sphere is given by V=4/3(pi)r^3. A. pi cm/sec B. 3 cm/sec C. 2 cm/sec D. 1 cm/sec E. .5 cm/sec
*Sunday, October 26, 2014 at 11:46pm*

**Calculus**

If y=sqrt (x^2+16), then d^2y/dx^2= A. 1 / (4(x^2+16)^3/2) B. 4(3x^2+16) C. x / ((x^2+16)^1/2) D. (2x^2+16) / ((x^2+16)^3/2) E. 16 / ((x^2+16)^3/2)
*Sunday, October 26, 2014 at 11:39pm*

**Calculus**

Use the four-step process to find the slope of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x) = -2x2-2x+1 (-1, -2)
*Sunday, October 26, 2014 at 11:15pm*

**calculus**

Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 8A square centimeters
*Sunday, October 26, 2014 at 11:11pm*

**Calculus**

Let f(x)=(2x+1)^3 and let g be the inverse function of f. Given f(0)=1, what is the value of g'(1)? A. -2/27 B. 1/54 C. 1/27 D. 1/6 E. 6
*Sunday, October 26, 2014 at 10:44pm*

**Calculus**

Find al points where tangent lines to: (x^2+y^2)^(3/2) = sqrt(x^2+y^2) + x is either horizontal or vertical.
*Sunday, October 26, 2014 at 10:04pm*

**Calculus**

If f(x)=sinx and g(x)=cosx, then the set for all x for which f'(x)=g'(x) is: A. Pi/4 + k(pi) B. Pi/2 + k(pi) C. 3pi/4 +k(pi) D. Pi/2 + 2k(pi) E. 3pi/2 + 2k(pi)
*Sunday, October 26, 2014 at 9:55pm*

**Calculus**

If r is positive and increasing, for what value of r is the rate of the increase of r^3 twelve times that of r? A. Cubed root 4 B. 2 C. Cubed root 12 D. 2 sqrt 3 E. 6
*Sunday, October 26, 2014 at 9:30pm*

**Calculus**

A 12-ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder away from the wall at the rate of 0.5ft/s. What is the configuration of the ladder at the instant that the vertical speed of the top of the ladder equals the horizontal speed of ...
*Sunday, October 26, 2014 at 8:40pm*

**Calculus**

Find al points where tangent lines to: (x^2+y^2)^(3/2) = sqrt(x^2+y^2) + x is either horizontal or vertical.
*Sunday, October 26, 2014 at 8:28pm*

**Calculus**

The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant? A. 1/2 B. 1 C. Sqrt 2 D. 2 E. 4
*Sunday, October 26, 2014 at 8:27pm*

**Calculus 1**

Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.
*Sunday, October 26, 2014 at 7:33pm*

**calculus**

A 6 foot tall man walks at a rate of 5 feet per second along one edge of a road that is 30 feet wide. On the other edge of the road is a light atop a pole 18 feet high. How fast is the length of the man's shadow increasing when he is 40 feet beyond the point directly ...
*Sunday, October 26, 2014 at 5:00pm*

**calculus**

a. find an equation for the secant line through the points where x has the given values. b. find a equation for the line tangent to the curve when x has the first value. y=9square root(x); x=16, x=25
*Sunday, October 26, 2014 at 4:34pm*

**Calculus 1**

A right triangle has a fixed base of length 6 meters and a height that is increasing at a rate of 2 meters/second. At what rate is the length of the hypotenuse increasing when the height is 8 meters?
*Sunday, October 26, 2014 at 4:12pm*

**calculus**

for f(x)=5/8, a. find an equation for the secant line through points where x=4 and x=5.b. find an equation for the line tangent to the curve when x=4. I can solve part a., but I am confused on part b. please help. I don't understand how to plug the numbers into the ...
*Sunday, October 26, 2014 at 12:47pm*

**Calculus**

We are going to fence in a rectangular field and have a maximum of 200 feet of material to construct the fence. Determine the dimensions of the field that will enclose the maximum area?
*Sunday, October 26, 2014 at 8:23am*

**Calculus**

a hyperbola passing through (8,6) consists of all points whose distance from the origin is a constant more than its distance from the point (5,2). find the slope of the tangent line to the hyperbola at (8,6).
*Sunday, October 26, 2014 at 12:35am*

**Calculus**

The graph of the equation x2 − xy + y2 = 9 is an ellipse. Find the lines tangent to this curve at the two points where it intersects the x-axis. Show that these lines are parallel.
*Sunday, October 26, 2014 at 12:13am*

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