Sunday

May 24, 2015

May 24, 2015

**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*

**Calculus**

400 feet of fencing is to be used to enclose four adjacent pieces of land. What dimensions will produce the largest area?
*Saturday, October 25, 2014 at 7:46pm*

**Calculus/pre-trig**

Write the formula for the discriminant. State the types of roots for a quadratic equation, explaining how the discriminant helps you determine the type.
*Saturday, October 25, 2014 at 7:25pm*

**Calculus (math)**

A conical water tank with vertex down has a radius of 12 feet at the top and is 23 feet high. If water flows into the tank at a rate of 20 {\rm ft}^3{\rm /min}, how fast is the depth of the water increasing when the water is 12 feet deep?
*Saturday, October 25, 2014 at 6:31pm*

**calculus **

A spherical snowball is placed in the sun. The snowball melts so that it's surface area decreases at a rate of 2 cm2 /min. Find the rate at which the diameter decreases when the diameter is 8 cm
*Friday, October 24, 2014 at 9:26pm*

**Calculus**

Given x^2+y^2=4, find the equation of the tangent line at the point (-1,sq.rt.3). Then, at what point is the slope 0? What point is the slope -1? I have no clue what to do!
*Friday, October 24, 2014 at 12:13am*

**Calculus please help**

The power, P, dissipated when a 6-volt battery is put across a resistance of R ohms is given by P=36R. What is the rate of change of power with respect to resistance?
*Thursday, October 23, 2014 at 10:33pm*

**Calculus**

I need help determining the intervals of increase, decrease and the intervals of upward and downward concavity given f prime. f'(x)=(64x^4 - 125x) ^(-2/3). Im not sure how to solve this. I know that the function has no intervals of decrease, its the rest im having trouble ...
*Thursday, October 23, 2014 at 1:17pm*

**Calculus**

Let f be a function such that f(−6)=−6, f(6)=6, f is differentiable for all real values of x and −1≤f'x≤1 for all real values of x. Prove that f(x)=x for all −6≤x≤6 I tried applying the mean value theorem here but I'm not...
*Thursday, October 23, 2014 at 4:58am*

**calculus**

Let \lambda be a positive real number. Evaluate \sin^{-1}(\lambdai)
*Tuesday, October 21, 2014 at 11:43pm*

**Calculus**

Find f'(a). f(x)=(x^2+1)/(x-2) Is it (x^2-5x+2)/(x-2)^2 ?
*Tuesday, October 21, 2014 at 9:42pm*

**Calculus**

Use linear approximation, i.e. the tangent line, to approximate \sqrt[3] { 7.9 } as follows: The equation of the tangent line to f(x) at x = 8 can be written in the form y = Using this, we find our approximation for \sqrt[3] {7.9} is
*Tuesday, October 21, 2014 at 9:27am*

**calculus**

find the absolute maximum and minimum of the function y=2cos(t)+sin(2t) on the interval of [0, pi/2] I have taken the derivative but I have no clue how to solve it for 0
*Monday, October 20, 2014 at 8:40pm*

**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)= x^2 - 5x +2 (1, -2)
*Monday, October 20, 2014 at 6:49pm*

**Calculus**

Find the critical numbers of the function f(x)=x^1/6−x^−5/6.
*Monday, October 20, 2014 at 3:46pm*

**Calculus**

Consider the function f(x)=ln(x)/x^6. For this function there are two important intervals: (A,B] and [B,∞) where A and B are critical numbers or numbers where the function is undefined. Find A Find B For each of the following intervals, tell whether f(x) is increasing or...
*Monday, October 20, 2014 at 3:45pm*

**calculus**

9) Find all critical numbers of the function f(t)=9t^2/3+t^5/3
*Monday, October 20, 2014 at 3:44pm*

**Calculus**

7) Consider the function f(x)=x2e4x. For this function there are three important intervals: (−∞,A], [A,B], and [B,∞) where A and B are the critical numbers. Find A and B For each of the following intervals, tell whether f(x) is increasing (type in INC) or ...
*Monday, October 20, 2014 at 3:43pm*

**Calculus**

f(x)=4x3−18x2−480x−2 is decreasing on what interval? It is increasing on what interval(s) ? The function has a local maximum at ?
*Monday, October 20, 2014 at 3:42pm*

**Calculus**

18) Find all numbers c that satisfy the conclusion of the Mean Value Theorem for the following function and interval. Enter the values in increasing order and enter N in any blanks you don't need to use. f(x)=2x/6x+12,[1,4]
*Monday, October 20, 2014 at 3:40pm*

**Calculus**

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.4 centimeters per second. What ...
*Monday, October 20, 2014 at 3:21pm*

**Calculus**

Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 3 cubic feet per minute. If the pool has radius 6 feet and height 10 feet, what is the rate of change of the height of the water in the pool when the depth of the...
*Monday, October 20, 2014 at 3:20pm*

**Calculus**

Consider the closed curve in the day plane: 2x^2-2xy+y^3=14 a) show that dy/dx=2y-4x/3y^2-2x (I got this part) b) find equation lines to the curve when y=2 c) if the point (2.5, k) is on the curve, use part b to find the best approximation of the value of k
*Monday, October 20, 2014 at 9:04am*

**calculus**

A lamp post 3m high is 6m from a wall. A 2m man tall is walking directly from the post toward at 2.5m/s. How fast is his 1.5 from the wall
*Monday, October 20, 2014 at 7:51am*

**Calculus**

An inverted conical tank is being filled with water, but it is discovered that it is also leaking water at the same time. The tank is 6 meters high and its diameter at the top is 4 meters. The water is being added to the tank at a constant rate. Some of this water is found to ...
*Sunday, October 19, 2014 at 8:27pm*

**Calculus**

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 2.3 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing?
*Sunday, October 19, 2014 at 8:27pm*

**Calculus**

A pulley system on a pier is used to pull boats towards the pier for docking. Suppose that a boat is being docked and has a rope attaching the boat's bow on one end and feeding through the pier's pulley system on the other end. The pulley system is 1 meter higher than ...
*Sunday, October 19, 2014 at 8:26pm*

**Calculus**

Find the value of a so that the tangent line to y = ln(x) at x = a is a line through the origin. I am unsure how to go about this.
*Sunday, October 19, 2014 at 7:18pm*

**Calculus**

find y' of 4(cos(x^3))^2 when x = 1. I got -24(1)(cos(1)(sin(1) = -0.4187 but the answer is -10.9.
*Sunday, October 19, 2014 at 5:59pm*

**Calculus**

Find an equation of the tangent line to the curve f(x) = (sins)^2 + 2tanx at x= pi/4. I worked through it and got y = 5x + 5/2 for my answer, but the answer key says that it is y - 5/2 = 5(x - pi/4). Why is the pi/4 in the answer? Thanks for any help!
*Sunday, October 19, 2014 at 3:53pm*

**calculus**

find the x-coordinate of all points on the curve y=12Xcos(5X)-(30*sqrt3*X^2) + 16, pi/5<X<2pi/5 where the tangent line passes through the point (0,16), (not on the curve) I have absolutely no idea how to solve this one
*Sunday, October 19, 2014 at 1:34pm*

**Calculus**

Find f''(1/2) using f(x) = ln(1-x). f'(x) = 1/(1-x) * -1 = -1/(1-x) so then using quotient rule: f''(x) = ((-1*-1) - ((1-x)(0))) / (1-x)^2 f''(1/2) = 1/(1-(1/2))^(2) = 4 Is this correct?
*Sunday, October 19, 2014 at 2:12am*

**Calculus**

What is the derivative of (ln(x))^x ? I have: f(x) = ln(x)^x f(x) = xlnx f'(x) = x/x + 1 * ln(x) f'(x) = 1 + ln(x) Is this correct?
*Sunday, October 19, 2014 at 1:50am*

**calculus**

can anyone help me with that question what is the domain of log(log(x)the base is 0.2)
*Saturday, October 18, 2014 at 10:57pm*

**calculus**

Use polar coordinates to find the volume of the given solid. Inside the sphere x^2+y^2+z^2=25 and outside the cylinder x^2+y^2=1
*Saturday, October 18, 2014 at 10:27pm*

**calculus**

Find the points of the paraboloid z=x^{2}+y^{2}-1 at which the normal line to the surface coincides with the line joining the origin to the point. What is the acute angle betwwen the normal and the z-axis at these points?
*Saturday, October 18, 2014 at 10:26pm*

**calculus**

A cable runs along the wall from C to P at a cost of $3 per meter, and straight from P to M at a cost of $5 per meter. If M is 16 meters from the nearest point A on the wall where P lies, and A is 50 mters from C, find the distance from C to P such that the cost of installing ...
*Saturday, October 18, 2014 at 10:25pm*

**calculus**

Find the points of the paraboloid z=x^{2}+y^{2}-1 at which the normal line to the surface coincides with the line joining the origin to the point. What is the acute angle betwwen the normal and the z-axis at these point
*Saturday, October 18, 2014 at 10:23pm*

**calculus**

use differentials to determine by approximately how many centimeters does the diagonal of a square table increase if its area is increased from 50 square centimeters to 54.45 square centimeters? Area= s^2 Diagonal= sqrt(2s^2) so, D= sqrt(2A) dD=A^(-1/2) dA dD= 50^(-1/2)* 4.45 ...
*Saturday, October 18, 2014 at 9:07pm*

**Calculus**

If G(x)=(x)/(1+2x), find G'(a) and use it to find an equation of the tangent line to the curve y=(x)/(1+2x) at the point (-1/4,-1/2). My answer: G'(a)=1/(1+2x)^2 Equation of tangent line: y= 4x+0.5
*Saturday, October 18, 2014 at 3:55pm*

**Calculus**

A pebble is dropped from an open window 100 meters above the ground. a) What is the velocity of the pebble after 2 seconds? b) What is the velocity of the pebble when it hits the ground?
*Saturday, October 18, 2014 at 3:07pm*

**Calculus**

Find the slope of the curve f(x)=1/(x^2+3). My answer: (-2x)/(x^2+3)^2
*Saturday, October 18, 2014 at 2:46pm*

**Calculus**

The number of bacteria after t hours in a controlled laboratory experiment is n=f(t). Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger, f'(5) or f'(10)? If the supply of nutrients is limited,would that affect ...
*Saturday, October 18, 2014 at 2:44pm*

**calculus**

2 given s(t)=3t +5t+3, find the instantaneous velocity when t i= 5.
*Saturday, October 18, 2014 at 12:17pm*

**calculus**

how would you represent the area outside given y= 4cos(2theta) but outside y=4 ?
*Saturday, October 18, 2014 at 11:11am*

**Calculus**

A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to one of the sides. Find the dimensions of the largest field that can be enclosed with 800 feet of fencing. Help me please!!!!!!!!!!! THANK YOU
*Saturday, October 18, 2014 at 11:05am*

**Calculus**

The cost of producing x ounces of gold from a new gold mine is C=f(x) dollars. Do you think the values of f'(x) will increase or decrease in the short term? What about the long term? Explain.
*Saturday, October 18, 2014 at 11:02am*

**DIFF CALCULUS**

A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at ¼ cubic meter per minute, and there is 1 meter of water at the deep end. a. What percent of the pool is filled? ...
*Saturday, October 18, 2014 at 10:03am*

**calculus**

a ladder 6 feet long leans against a vertical building. the bottom of the ladder slides away from the building horizontally at rate of 1/2 ft/sec. A) at what rate is the top of the ladder sliding down the wall when the bottom of the ladder is 3 feet from the wall? b)at what ...
*Saturday, October 18, 2014 at 12:58am*

**Calculus**

The number of bacteria after t hours in a controlled laboratory experiment is n=f(t). Suppose there is an unlimited amount of space and nutrients for the bacteria. Which do you think is larger, f'(5) or f'(10)? If the supply of nutrients is limited,would that affect ...
*Friday, October 17, 2014 at 10:50pm*

**Calculus**

The cost of producing x ounces of gold from a new gold mine is C=f(x) dollars. Do you think the values of f'(x) will increase or decrease in the short term? What about the long term? Explain.
*Friday, October 17, 2014 at 10:44pm*

**calculus**

ind the point(s) on the cone z^2 = x^{2}+3y^{2} that are closest to the point (-1,-7,0)
*Friday, October 17, 2014 at 10:09pm*

**Calculus**

what is the limit of arcsinx as x approaches 1 from the left
*Friday, October 17, 2014 at 10:01pm*

**Calculus**

1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4
*Friday, October 17, 2014 at 9:26pm*

**calculus**

A sample poll of 100 voters revealed the following information concerning three candidates A, B, and C who were running for three offices. 10 voted in favor of both A and B, 35 voted in favor of A or B but not C, 25 voted in favor of B but not A or C, 65 voted in favor of B or...
*Friday, October 17, 2014 at 8:59pm*

**Calculus**

Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid x^2/81+y^2/25+z^2/49=1
*Friday, October 17, 2014 at 8:39pm*

**calculus**

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x^2y+3y^2-y subject to the constraintx^2+y^2less than or equal to 10
*Friday, October 17, 2014 at 8:36pm*

**calculus**

Given g(x) = (x + cosx)/(e^x - 2x^3 + 5). Find g'(x). Do not need to simplify.
*Friday, October 17, 2014 at 12:11pm*

**calculus**

Find the point on the surface z = 2x2+xy+3y2 where the tangent plane is parallel to the plane 8x-8y-z=5.
*Friday, October 17, 2014 at 12:09pm*

**CALCULUS**

Hi guys can you help me! Please teach me step by step.. I really need it. pls! Thank you......... A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at ¼ cubic meter ...
*Friday, October 17, 2014 at 11:35am*

**Algebra/Pre-calculus (Quadratic Equations)**

A theatre company allows a group of 10 people to buy theatre tickets at a price of $28 per person. For each person in excess of 10, the price is decreased by $2 per person for everyone down to a minimum of $10 per person. What number of people will produce the maximum revenue ...
*Friday, October 17, 2014 at 10:35am*

**Calculus **

A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The temperature T (in °F) of the lasagna is given by the function T(t)=e^94.86753-t)+70 , 0 ≤ t, where t is time (in hours) after taking ...
*Friday, October 17, 2014 at 10:34am*

**calculus**

6) The function f(x)=4x3−18x2−480x−2 is decreasing on the interval ? Enter your answer using the interval notation for open intervals. It is increasing on the interval(s) ? The function has a local maximum at ?
*Friday, October 17, 2014 at 10:27am*

**calculus**

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing...
*Friday, October 17, 2014 at 10:21am*

**calculus**

2) Let g(s)= t(4−t)^1/2 on the interval [0,2]. Find the absolute maximum and absolute minimum of g(t) on this interval. Enter DNE if the absolute maximum or minimum does not exist. The absolute max occurs at t= . The absolute min occurs at t=
*Friday, October 17, 2014 at 10:21am*

**calculus**

f(x)=x2(x−24). So f is decreasing (and f′ is negative) on the interval (0,a) for a= ?
*Friday, October 17, 2014 at 10:20am*

**CALCULUS**

1. A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)
*Friday, October 17, 2014 at 10:05am*

**Calculus **

Suppose a ball is thrown straight up into the air, and the height of the ball above the ground is given by the function h(t) = 6 + 37t – 16t2, where h is in feet and t is in seconds. At what time t does the ball stop going up and start returning to earth?
*Friday, October 17, 2014 at 9:53am*

**diff calculus**

1.) triangular corner lot has perpendicular sides of lengths 120 feet and 160 feet. Find the dimensions of the largest rectangular building that can be constructed on the lot with sides parallel to the streets.
*Friday, October 17, 2014 at 7:26am*

**calculus**

f(x)= 3+4xe^{-5x}complete the sentences concerning the function a) the function f is decresing on the iterval...... b) the function f is increacing on the interval c) the function f is concave down on the interval d) the function f is concave up on the interva
*Friday, October 17, 2014 at 1:07am*

**calculus**

can you find a sequence{an} such that {an} diverges, and the series of an converges? justify
*Friday, October 17, 2014 at 1:06am*

**calculus**

If f(x) = 3 cos^2(x) − 6 sin(x) 0 ≤ x ≤ 2π Find the intervals of increase and decrease, the intervals of concave up and concave down, local maximum values, local minimum values, and inflection point
*Friday, October 17, 2014 at 1:04am*

**Calculus **

The population of a colony of bacteria is modeled by the function p(x)=50(e^-x - e^-x^2)+10 ,for 0 ≤ x, where population P is in thousands, x is in hours, and x = 0 corresponds to the moment of introduction of a certain chemical into the colony's environment. At ...
*Thursday, October 16, 2014 at 11:54pm*

**Calculus **

The population of a colony of bacteria is modeled by the function p(x)=50(e^-x - e^-x^2)+10 , for 0 ≤ x, where population P is in thousands, x is in hours, and x = 0 corresponds to the moment of introduction of a certain chemical into the colony's environment. At ...
*Thursday, October 16, 2014 at 11:52pm*

**Calculus..**

Two particles are moving in straight lines. The displacement (meters) of particle 1 is given by the function s(t)= cos(4x), where t is in seconds. The displacement (meters) of particle 2 is given by the function s(t)= t^3/3-t^2/2 +2(t) , where t is in seconds. Find the first ...
*Thursday, October 16, 2014 at 11:28pm*

**AP Calculus**

In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product.
*Thursday, October 16, 2014 at 10:37pm*

**AP Calculus**

If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.
*Thursday, October 16, 2014 at 10:36pm*

**calculus**

Find the point on the plane z = 6x + 9y + 1 closest to the point P = (1, 0, 0). Hint: Minimize the square of the distance. (x, y, z) =
*Thursday, October 16, 2014 at 9:41pm*

**calculus**

find the coordinates of the centroid bounded by y=25x^2 and y=4. the region is covered by a thin flat plate
*Thursday, October 16, 2014 at 9:36pm*

**Calculus**

Derivative of the implicit Function: arctan(x^5y)=xy^5 Here is where I am at. I am pretty frustrated: arctan(x^5y)-xy^5=0 1/1+(x^5y)^2 * (d/dx(x^5)*y+x^5*d/dx(y))-(d/dx(x)*y^5+x*d/dx(y^5))=0 1/(1+x^5y)^2 * (5x^4y+x^5dy/dx) - (y^5+x^5y^4dy/dx) (5x^4y)/[(1+x^5y)^2] + (x^...
*Thursday, October 16, 2014 at 2:52pm*