Saturday

April 18, 2015

April 18, 2015

**Recent Homework Questions About Calculus**

**Pre-Calculus/Trigonometry**

Am I right? Which of the following is the equation of a line that passes through the point (3,2) and is parallel to the y-axis? y = 3 x = 2 y = 2 x = 3 <---
*Monday, September 15, 2014 at 5:05pm*

**Pre-Calculus/Trigonometry**

Help please What is the slope of the line that passes through (1,0) and is parallel to y = 3x + 5?
*Monday, September 15, 2014 at 4:57pm*

**calculus**

Can you help me solve this problem? I really don't know what to do. I solve problems like for example the rate of change of the elevation but I just encountered this kind of problem so I really don't know what to do. Please help me The endpoints of a movable rod of ...
*Monday, September 15, 2014 at 4:14am*

**Pre Calculus **

A motorboat travels 48 miles down a river in the same time it takes to travel 32 miles up the river. If the rate of the current is 4 miles per hour that is the rate of the boat still water?
*Monday, September 15, 2014 at 12:39am*

**AP Calculus**

Find an equation of all tangent lines for the curve x^2-xy+y^2=16 x=-2 2x-(xy'+y(1))+2yy'=0 2x-xy'+y+2yy'=0 y'(-x+2y)=-2x-y y'=-2x-y/-x+2y y'=-2(0)-y/-(0)+2y y'=-y/2y Not sure what to do now?
*Sunday, September 14, 2014 at 10:30pm*

**Pre-Calculus**

Find all the rational zeros of the polynomial, and then find the irrational zeros P(x)= 2x^4+15x^3+31x^2+20x+4
*Sunday, September 14, 2014 at 4:25pm*

**Pre-Calculus**

Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.
*Sunday, September 14, 2014 at 2:35pm*

**Pre-Calculus**

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x^4 − 3x^3 + 29x^2, D(x) = 3x^2 + 13
*Sunday, September 14, 2014 at 2:24pm*

**Pre-Calculus**

Find all the real zeros of the polynomial. Use the quadratic formula if necessary. 4x^3 − 10x^2 + 9
*Sunday, September 14, 2014 at 2:23pm*

**Pre-Calculus**

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13
*Sunday, September 14, 2014 at 2:19pm*

**Pre-Calculus**

Find all solutions of the equation and express them in the form a + bi. 36x^2 − 12x + 2 = 0
*Sunday, September 14, 2014 at 1:25pm*

**Pre-Calculus**

I'm kind of stuck on how to do this. Can someone help me? Thanks! Write the equation of the line with slope -2 that passes through the point (-1, -3) in slope-intercept form.
*Sunday, September 14, 2014 at 11:28am*

**math**

The farmer wants to use the 500 m to an enclosure divided into two equal areas, What is the total maximum area that can is achieved with the 500 m fence. using differential calculus to the solution.
*Sunday, September 14, 2014 at 10:03am*

**Pre-Calculus**

Hello! I wanted to know if my answers are right or not? Thanks! :) 1.) Segments AB and CD have the following endpoints. Determine whether the segments are parallel, perpendicular or neither. A (3, 0), B (-2, 2), C (-1, 4), D (-3, -1) My answer: Parallel 2.) Segments AB and CD ...
*Sunday, September 14, 2014 at 8:44am*

**Pre-Calculus**

Find all zeros of the polynomial P(x)=x^3-x-6
*Sunday, September 14, 2014 at 2:55am*

**Pre-Calculus**

Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero P(x)= x^3-x^2+x
*Sunday, September 14, 2014 at 2:54am*

**Pre-Calculus**

Find all solutions of the equation and express them in the form a+bi 2x^2+3=2x
*Sunday, September 14, 2014 at 2:52am*

**Pre-Calculus**

Find all rational zeros of the polynomial, and write the polynomial in factored form? P(x)= 2x^3-3x^2-2x+3
*Sunday, September 14, 2014 at 1:20am*

**Pre-Calculus**

Find a polynomial of degree 4 that has a integer coefficients and zeros 1,-1,2 and 1/2 (one half)?
*Sunday, September 14, 2014 at 1:17am*

**Pre-Calculus**

Hello! I wanted to know if my answers are right or not? Thanks! :) 1.) Segments AB and CD have the following endpoints. Determine whether the segments are parallel, perpendicular or neither. A (3, 0), B (-2, 2), C (-1, 4), D (-3, -1) My answer: Parallel 2.) Segments AB and CD ...
*Saturday, September 13, 2014 at 6:28pm*

**Pre-Calculus**

Hi! I have three questions that I need checked over just to make sure I understand it. Thanks! :) 1.) What is the slope of the line that passes through (5, 8) and (-2, 6)? My answer: -2/7 2.) If Segment AB || Segment CD and the slope of Segment AB = 1/2, what is the slope of ...
*Saturday, September 13, 2014 at 11:55am*

**Pre-Calculus/Trigonmetry**

Write the equation of the line that is parallel to the x-axis and goes through the point (1,4).
*Friday, September 12, 2014 at 6:44pm*

**Pre-Calculus**

Hello! Can someone check and see if these answers are correct? Thanks! 1.) If a line with slope of 1/2 is perpendicular to another line, then the slope of the other line is -2. TRUE or FALSE? (I choose True) 2.) If Segment QR || Segment TU and the slope of Segment TU is -3, ...
*Friday, September 12, 2014 at 4:14pm*

**Pre-Calculus/Trigonometry**

Help please Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute. Which of the following piecewise functions represents charges based on Tracy's cell phone plan? A. f(x)={...
*Friday, September 12, 2014 at 1:14pm*

**Calculus II**

find the distance between the given parallel planes 5x-5y+z=10 and 10x-10y+2z=2. I got 9sqrt51/51
*Thursday, September 11, 2014 at 2:37pm*

**Math: pre calculus**

a barn is 150 feet long and 75 feet wide. the owner has 240 ft of fencing and wants to construct two adjacent outdoor pens of identical size along the long side of the barn using the barn as one side of each pen. the owner wants the pens as large as possible. what are the ...
*Thursday, September 11, 2014 at 1:53am*

**pre calculus **

Determine the quadratic function in vertex form (A) vertex at (-3,-10) passing through the point (2,-5) Dow do I figure it out?
*Wednesday, September 10, 2014 at 9:58pm*

**maths-calculus**

find the limit as x approaches infinity, -(x+1) (e^(1/(x+1))-1)
*Wednesday, September 10, 2014 at 6:10am*

**Pre-Calculus**

Hi! I need help with this math homework question: If you had a triangle that has the vertices (-2, 1), (0, -5), and (1. 2) and you had to shift that triangle 5 units left and 4 units down, how would you find the vertices of the shifted triangle?
*Tuesday, September 9, 2014 at 2:20pm*

**Pre-Calculus/Trigonometry**

Help Me, Please Here is a table of values for y = f(x). x: 0, 5, 10, 15, 20, 25, 30, 35, 40 f(x): 5, 6, 7,8, 9, 10, 11, 12, 13 Mark the statements that are true. A. f(5) = 6 B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13}. C. The range for f(x) is all real ...
*Tuesday, September 9, 2014 at 1:24pm*

**Pre-Calculus/Trigonometry**

Help please If, f(x)= 3/x+2 -√x-3, complete the following statement. Round your answer to the nearest hundredths place. F(7)= ?
*Tuesday, September 9, 2014 at 11:45am*

**calculus**

Highway engineers often use quadratic functions to model safe stopping distances for cars like 1/2x quantity squared + 11/5x is used to model the safe stopping distance for car traveling at x miles per hour on dry, level pavement. If a driver can see only 200 feet ahead on a ...
*Tuesday, September 9, 2014 at 6:51am*

**Calculus**

Determine the exact values of the six trigonometric functions of the angle.(-5,-2)
*Monday, September 8, 2014 at 11:02pm*

**Calculus**

"Three hundred books sell for $40 each, resulting in a revenue of $12,000. For each $5 increase in price, 25 fewer books are sold. Write revenue R as a function of the number x of $5 increases." How would you get this problem started?
*Monday, September 8, 2014 at 7:44pm*

**Pre-Calculus/Trigonometry**

Help me please, just explain. How would I find f(1)? f(1)= x; -3, -2, -1, 0, 1, 2 f(x); 3.4, 0, -1.2, 0.4, 1.3, 1.7
*Monday, September 8, 2014 at 6:12pm*

**Calculus**

Suppose the area under the curve y=xe^(-mx) from 0 to 1 is 0.4. Find m.
*Monday, September 8, 2014 at 2:04pm*

**calculus **

Verify Clairaut's theorem for u=ln(x^(2)-y^(2)).
*Monday, September 8, 2014 at 10:31am*

**Calculus**

How do I solve for the investment of 20,000 with an interest rate of 7.5 compounded annually for 10 years? This is what I have so far and I don't know if I'm using the right formula. n=10 and I=r=0.075 A=P(1+i)n =20,000(1+0.075)10 This is where I'm stuck
*Monday, September 8, 2014 at 8:20am*

**Calculus**

Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y − 1 = ln(x^5 + y^5), (1, 0)
*Sunday, September 7, 2014 at 10:37pm*

**Calculus-Math**

f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y=
*Sunday, September 7, 2014 at 10:10pm*

**Calculus**

Suppose the total area under the curve y=x^2-mx+1 from 0 to 5 is 11.3024. Find m. I know that this means that i need to find the integral of the absolute value of x^2-mx+1 from 0 to 5 and set it equal to 11.3024, but I am not sure where to go from there.
*Sunday, September 7, 2014 at 8:32pm*

**Calculus**

A rectangle has one corner in quadrant I on the graph of y = 9 − x^2,another corner at the origin, and corners on both the positive y-axis and the positive x-axis. As the corner on y = 9 − x2 changes, a variety of rectangles are obtained. Express the area A of the ...
*Sunday, September 7, 2014 at 5:25pm*

**Calculus**

Using the definition of derivative state the function, f(x) and the value of a for lim as h->0 of (square root of (121+h) -11)/h
*Sunday, September 7, 2014 at 2:41pm*

**Calculus**

Two points P and Q are connected by a straight road of length d. At time t = 0, a car starts driving from P to Q at a constant speed c. At t = 0, a bee starts flying from Q toward the car at a constant speed b > c, and takes a zig-zagging path, reversing direction each time...
*Saturday, September 6, 2014 at 1:50pm*

**INTEGRAL CALCULUS PLEASE HELP!!!**

If F(x)dx=1 from 1 to 25, F(x)dx=4 from 1 to 4, and F(x)dx=9 from 17 to 25, then: 1) What does F(x)dx from 9 to 17=? 2) What does (1F(x)-4)dx from 9 to 17x=? I have no idea how to do this problem and have been on it for hours! The problem is not typed incorrectly, this is ...
*Friday, September 5, 2014 at 6:10pm*

**Honors Pre Calculus**

Verify the trigonometric identity:￼ ￼(1+sin x)/ (1-sinx)^2=￼(1+sin x)/[cos x] Hint: [cos x] means the absolute value of cos x
*Wednesday, September 3, 2014 at 8:39pm*

**pre calculus algebra **

one number is three less than six times second number. their sum is 32. find the two numbers
*Wednesday, September 3, 2014 at 8:34pm*

**Honors Pre Calculus**

Verify the trigonometric identity:￼ ￼(1+sin x)/ (1-sinx)=￼(1+sin x)/[cos x] Hint: [cos x] means the absolute value of cos x
*Wednesday, September 3, 2014 at 8:25pm*

**Honors Pre Calculus**

Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the height of a person on the ferris wheel at any time t?
*Wednesday, September 3, 2014 at 7:11pm*

**calculus**

A man in a rowboat at p, see fig 2c, 5km from the nearest point A on the straight shore. He wished to reach a point B, 6km from A along the shore, in a shortest time. Where should he land if he can row 2km/h and walks 4km/h? P 5 km A C B
*Wednesday, September 3, 2014 at 8:32am*

**calculus**

a. A closed cylindrical can is to hold 1000cm^3 of liquid. How should we choose the height and radius of this can to minimize the amount of material need to manufacture the can? b.a manufacturer wants to design a open box having a square base and surface of 108cm^2. What ...
*Wednesday, September 3, 2014 at 7:33am*

**calculus**

a laser printer is placed on a platform that rotates at a rate of 20rev/min. the beam hits a wall 8m away producing a dot of light that moves horizontally along the wall. let tetabe the angle between the bean and producing the line through the search light perpendicular to the...
*Wednesday, September 3, 2014 at 2:30am*

**calculus **

kulangman is in level flight 6km abave the ground. his level flight take him directly over the PETRONAS tower,pt. how fast is he flying when the distance between him and the PT is exactly 10km and this distance is increasing at the rate of 40km/h.
*Wednesday, September 3, 2014 at 2:19am*

**calculus**

a revolving light is located at 5 km from a straight shoreline with a constant angular velocity. what velocity does the light revolve if the light moves along the shoreline at the rate of 15km/min when the beam of light makes a angle of 60 with the shoreline?
*Wednesday, September 3, 2014 at 2:08am*

**Calculus**

At noon of a certain day,ship A is 60 km due north of ship B. If A sails east at 12 km/hr and B sails north 9 km/hr,determine how rapidly the distance between them is changing 2 hrs later. Is it increasing or decreasing?
*Tuesday, September 2, 2014 at 9:42pm*

**Calculus**

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (8,4). Write the length L of the hypotenuse as a function of x. Completely stuck came up with the sqrt(x^2+Y^2)=L, not sure what to do? can anyone guide me in the right direction?
*Tuesday, September 2, 2014 at 8:35pm*

**calculus/physics**

A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=−1 to x=1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. ...
*Tuesday, September 2, 2014 at 4:42pm*

**Math, Calculus**

The questions says it has 2 solutions. It wants me to find what x would be if cos(x)=-.49 and it is given that x is on the scale between 0 and 2pi. I know that cosine is the x value, and since cosime is negative in this case the two solutions need to be in the 2nd and 3rd ...
*Tuesday, September 2, 2014 at 1:29am*

**calculus**

We know this is a piecewise function and we solved the first part, but we cannot figure out the other equation. A passenger ship leaves port sailing east at 16 mph. Two hours later, a cargo ship leaves the same port heading north at 12 mph. (a) Find a function giving the ...
*Monday, September 1, 2014 at 7:33pm*

**Calculus**

1.At noon of a certain day,ship A is ^0 km due north of ship B. If A sails east at 12 km/hr and B sails north 9 km/hr,determine how rapidly the distance between them is changing 2 hrs later. Is it increasing or decreasing? 2.At a given instant the legs of a right triangle are ...
*Sunday, August 31, 2014 at 8:45am*

**Calculus**

Two automobiles start from a point A at the same time. One travels west at 60km/hr and the other travels north 35 km/hr. how fast is the distance between them increasing 3hr later?
*Sunday, August 31, 2014 at 6:03am*

**Calculus-Math**

The endpoints of a movable rod of length 1 m have coordinates (x, 0) and (0, y) (see figure). The position of the end on the x-axis is given in the equation below, where t is the time in seconds. x(t) = 1/8 sin(πt/4) (c) Find the speed of the y-axis endpoint when the x-...
*Saturday, August 30, 2014 at 10:50pm*

**Calculus 2**

use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy=1, x=0, y=1, y=3
*Saturday, August 30, 2014 at 7:27pm*

**Calculus AB **

Consider the function (4)/(1-2^(1/x)) 1. Estimate the right-hand limit, lim x->0+ f(x). Back up your answer by making an analytic argument about f(x) for values of x that are close to 0 but larger than 0. 2. Estimate the left-hand limit, lim x->0- f(x). Back up your ...
*Friday, August 29, 2014 at 11:37pm*

**Calculus 2**

use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=x^(1/3), y=0, x=1
*Friday, August 29, 2014 at 9:48pm*

**Calculus **

1.if a ball is thrown into the air with a velocity of 35ft/s, it's height in feet after t seconds is given by y=35t-10t^2. Find the averag velocity for the time period beginning when t=4 and lasting 0.05s. 2.if a ball is thrown into the air with a velocity of 30ft/s, it&#...
*Thursday, August 28, 2014 at 9:41pm*

**Calculus **

List at least five scenarios in real life where knowing the average or instantaneous rate of change could prove beneficial?
*Thursday, August 28, 2014 at 9:36pm*

**calculus**

2. Worldwide annual sales of all cell phones is approximately -10p + 1600 million phones when the wholesale price is $p. a) If manufacturers are prepared to supply q = 14p – 800 million phones per year at a wholesale price $p, what would be the equilibrium price? -10p +...
*Thursday, August 28, 2014 at 9:25pm*

**calculus**

1. The demand for your hand-made skateboards in weekly sales is q = -3p + 700 if the selling price is $p. You are prepared to supply q = 2p – 500 per week at price $p. At what price should you sell your skateboards so that there is neither shortage nor a surplus? -3p +700...
*Thursday, August 28, 2014 at 9:22pm*

**calculus**

A wall 10 feet high is 8 feet away from a house. Find the length of the shortest ladder that will reach the house when one end rests on the ground outside the wall. So in here. I did the similar triangle property. so i got y=10(x+8)/x . And i substituted it in the PYTHAGOREAN ...
*Thursday, August 28, 2014 at 5:10am*

**calculus**

1. Estimating the Temperature of a Yam Suppose you put a yam in a hot oven, maintained at a constant temperature of 200C. As the yam picks up heat from the oven, its temperature rises.16 (a) Draw a possible graph of the temperature T of the yam against time t (minutes) ...
*Wednesday, August 27, 2014 at 2:54pm*

**calculus**

1. Let S be the region in the first quadrant bounded by the graphs of y = e^(-x^2) y = 2x^2, and the y axis. y x = 2 , and the y-axis. a) Find the area of the region S. So when I integrate, is it from 0 to .5325? I found where they intersect on the calculator. Is this the ...
*Wednesday, August 27, 2014 at 6:00am*

**Calculus**

Find each of the following functions. f(x) = x2 − 3, g(x) = 5x + 2 (a) f compose g State the domain of the function. (Enter your answer using interval notation.) (b) g compose f State the domain of the function. (Enter your answer using interval notation.) (c) f compose ...
*Tuesday, August 26, 2014 at 6:28pm*

**Calculus**

A payload is released at an elevation of 500m from a hot-air balloon rising at a rate of 14 m/s v(t)=? How would I go about starting this problem? I know that the procedure is relatively simple but I am beyond rusty and second guess myself too much. Any help would be greatly ...
*Tuesday, August 26, 2014 at 2:42pm*

**Calculus-Math**

Find the derivative of 4 sec^7 (πt − 6)?
*Monday, August 25, 2014 at 7:58pm*

**Calculus**

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval notation.)
*Monday, August 25, 2014 at 3:00pm*

**Calculus**

Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 3 sin(2x) = 3 cos(x)
*Monday, August 25, 2014 at 2:27pm*

**Calculus**

What is the derivative of 3sin(4x)? I have no idea where to begin!!!
*Sunday, August 24, 2014 at 1:40am*

**Related rates math in calculus**

A square sheet of cardboard has sides 18cm. Four equal portions are cut away from the corner and discard. The sides are then twiced up to form a restangular box. What are the dimension of the box formed that will have max volume?
*Friday, August 22, 2014 at 2:48pm*

**Calculus-Math**

Derivative of x^7/7x^3-45x+25
*Friday, August 22, 2014 at 1:09am*

**calculus**

A parallelogram is determined by the vectors a = [-2, 5] and b = [3, 2]. Determine the diagonals of the parallelogram.
*Saturday, August 16, 2014 at 3:57pm*

**calculus**

Beth leaves a dock in a motorboat travelling at 14 m/s. She heads downstream at an angle of 40° to the current, which flows at 6 m/s. Determine how long it takes for Beth to travel 400 m
*Saturday, August 16, 2014 at 3:12pm*

**calculus**

For the vectors x=(0,6,-5), y=(2,1,4) and z=(-2,3,-1) what is the value of (2x+y)·(3y-z)? (dot product question and each letter is a vector)
*Saturday, August 16, 2014 at 2:45pm*

**calculus**

Nikki is driving a motorboat across a river that flows at 5 m/s. The motorboat has a speed of 12 m/s in still water. She heads out from one bank in a direction perpendicular to the current. How far does she travel in 3 minutes?
*Saturday, August 16, 2014 at 2:32pm*

**calculus**

Determine (6i+2j)· (i-4j+k) This is a dot product question and each letter has the vector symbol
*Saturday, August 16, 2014 at 2:21pm*

**Calculus (need help with only d and e)**

Codeine phosphate is a drug used as a painkiller. A common brand contains 30 mg of codeine. Samples of blood were taken at regular time intervals from a patient who had taken a pill containing 30 mg of codeine. The amount of codeine in the bloodstream was determined every 30 ...
*Wednesday, August 13, 2014 at 5:47pm*

**Calculus-Math**

The cost of producing x units of a product is C = 60x + 1350. For one week management determined the number of units produced at the end of t hours during an eight-hour shift. The average values of x for the week are shown in the table. t 0 1 2 3 4 5 6 7 8 x 0 16 60 130 205 ...
*Monday, August 11, 2014 at 2:55pm*

**calculus**

A person's temperature is f (t) degrees Fahrenheit t days after the start of a ten-days sickness and f(t)=98.6+1. 2t-0.12t^2, 0 is less than or equal to t, and t is less than or equal to 10. find the rate of change of the temperature when the person has been sick for 8 days.
*Sunday, August 10, 2014 at 8:54am*

**calculus**

the volume V of a right circular cone of height h=8 feet and radius r feet is V=V(r)=2pier^2. If r is changing, find the instantaneous rate of change of the volume V with respect to the radius r at r=4.
*Sunday, August 10, 2014 at 8:50am*

**Calculus-Math**

The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is the radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a ...
*Saturday, August 9, 2014 at 10:17pm*

**Calculus-Math**

Find d2y/dx2 in terms of x and y. x^2y^2-2x=3
*Saturday, August 9, 2014 at 7:01pm*

**Calculus-Math**

Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 − y2), (4, -2)
*Saturday, August 9, 2014 at 6:44pm*

**Calculus-Math**

The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is the radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a ...
*Saturday, August 9, 2014 at 6:08pm*

**Calculus-Math**

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (x + 18)^(-1/2) u = ? y=? Use the chain rule.
*Friday, August 8, 2014 at 9:41pm*

**Calculus-Math**

Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x − 4)^7 u = y= This problem involves the chain rule of derivatives.
*Friday, August 8, 2014 at 9:29pm*

**Maths - Optimisation**

I've been trying to work out this question for hours and I can't seem to figure it out. Question: "Point 'A' is situated in the bottom left hand corner of a vertical rectangle with the dimensions 6m x 3m. Point 'B' is situated in the opposite top ...
*Friday, August 8, 2014 at 7:16pm*

**Calculus-Math**

Complete the table without using the Quotient Rule. Function y=2x^(7/2)/x Rewrite y= Differentiate y'= Simplify y' =
*Wednesday, August 6, 2014 at 7:54pm*

**Calculus-Math**

The length of a rectangle is given by 2t + 2 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time. A'(t)=
*Tuesday, August 5, 2014 at 5:08pm*

**Calculus-Math**

Use the given information to find f '(8). f(x) = 9g(x) + h(x) g(8) = 1 and g'(8) = 5 h(8) = 8 and h'(8) = -3 f'(8)=
*Tuesday, August 5, 2014 at 2:40am*

**Calculus**

Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the point of tangency (x, y) on the graph of f, solve the following equation of f '(x). f '(x) = y0 − y/x0 − x f(x) = √x (x0, y0...
*Monday, August 4, 2014 at 7:37pm*