Saturday

October 25, 2014

October 25, 2014

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus - Optimization **

A fence is to be built to enclose a rectangular area of 800 square feet. The fence along 3 sides is to be made of material $4 per foot. The material for the fourth side costs $12 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be...
*Sunday, November 17, 2013 at 3:38pm*

**calculus**

The cost of running a ship at a constant speed of v km/h is 160 + 1/100*v^3 dollars per hour. a)Find the cost of a journey of 1000km at a speed of v km/h. b)Find the most economical speed for the journey, and the minimum cost. c)If the ship were to have maximum speed of 16 km/...
*Sunday, November 17, 2013 at 8:37am*

**calculus**

A traveller employs a man to drive him from Sydney to Melbourne. Running costs of the car, which are also paid by the traveller, are k*v^3 dollars per hour, v is the speed and k is a constant. Find the uniform speed that will minimize the total cost of the journey.
*Sunday, November 17, 2013 at 8:33am*

**Pre-Calculus**

Find the slope of the tangent line to the curve 2(x^2+y^2)^2=25(x^2−y^2) at the point (−3,−1)? Here's what I did: 2(x^4 + y^4) = 25(x^2-y^2) 2x^4 + 2y^4 = 25x^2 - 25y^2 8x^3 + 8y^3(dy/dx) = 50x - 50y(dy/dx) d/dx(8y^3 + 50y) = 50x - 8x^3 d/dx = (50x-8x^3...
*Sunday, November 17, 2013 at 2:31am*

**Calculus**

I throw a ball off the roof. It travels s = 240+22t-t^2. S is the balls distance after I release it. How tall is the building? How high above the ground did the ball get?
*Saturday, November 16, 2013 at 10:20pm*

**Calculus**

Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. A (sub n)=((4n-7)/(4n+9))
*Saturday, November 16, 2013 at 5:42pm*

**Calculus**

Determine whether the sequence is divergent or convergent. a(sub n)=(−1)^n(sin(2/n))
*Saturday, November 16, 2013 at 5:39pm*

**Calculus - Optimization **

A parcel delivery service a package only of the length plus girth (distance around) does not exceed 24 inches. A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has a maximum volume. What is the maximum ...
*Saturday, November 16, 2013 at 4:24pm*

**Calculus**

What would the derivative of c(x) = (10 - x) + 1.4*sqrt((x^2) + 25)
*Friday, November 15, 2013 at 5:29pm*

**Calculus**

Solve the seperable differential equation 8yyŒ =x. Use the following initial condition: y(8)=4. Express x^2 in terms of y.
*Friday, November 15, 2013 at 1:37pm*

**Calculus**

Find the particular solution of the differential equation particular solution of the differential equation dy/dx=(x−7)e^(−2y).
*Friday, November 15, 2013 at 1:36pm*

**calculus**

A closed cardboard box is made with a square top and bottom, and a square horizontal shelf inside that divides the interior in half. A total of 12 square meters of cardboard is used to make the top, sides, bottom, and shelf of the box. What should the dimensions of the box be ...
*Friday, November 15, 2013 at 11:35am*

**calculus**

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs $23 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs $12 per meter. Each pen measures x meters wide by...
*Friday, November 15, 2013 at 11:34am*

**Pre calculus**

Solve for all values between zero and 360 degrees. cos(theta-42 degrees)=-1 What is the general solution and what is the solution????
*Thursday, November 14, 2013 at 9:48pm*

**Calculus Inegral**

integral of x/lnx
*Thursday, November 14, 2013 at 6:19pm*

**Pre-Calculus**

Find the slope of the tangent line to the curve √(1x+2y) + √(1xy) = 8.24 at the point (2,8)? I know you have to use implicit differentiation, but the radicals keep making me mess up algebraically. Is the changing the radicals to exponents the fastest way? please ...
*Thursday, November 14, 2013 at 9:20am*

**Pre-Calculus**

A manufacture has been selling 1050 television sets a week at 360 dollars each. A market survey indicates that for each 20 -dollar rebate offered to a buyer, the number of sets sold will increase by 200 per week. p(x)=1x/10 + 465 How large of a rebate should the company offer ...
*Wednesday, November 13, 2013 at 4:06pm*

**Pre-Calculus**

When you do implicit differentiation, how does D = √(x^2 + 8x + 12) turn into dD/dt = [(x + 4)(dx/dt)]/√(x^2 + 8x + 12)? please explain...I don't even understand where the (x+4) comes from. D means distance, but that's irrelevant
*Tuesday, November 12, 2013 at 11:35pm*

**College Level Calculus**

Each orange tree grown in California produces 720 oranges per year if not more than 20 trees are planted per acre. For each additional tree planted per acre, the yield per tree decreases by 15 oranges. How many trees per acre should be planted to obtain the greatest number of ...
*Tuesday, November 12, 2013 at 10:31pm*

**Pre-Calculus**

Can someone please help me with this problem? De Moivre’s theorem states, “If z = r(cos u + i sin u), then zn = rn(cos nu + i sin nu).” • Verify de Moivre’s theorem for n = 2. a. Provide a correct proof that includes written justification for each step.
*Tuesday, November 12, 2013 at 9:38pm*

**calculus **

you stand on the shore of a circular lake and you wish to reach the exact opposite your current position. you can swim 20 feet per minute and run 50 feet per minute. what path should you take to reach your destination as quickly as possible?
*Tuesday, November 12, 2013 at 4:41pm*

**Calculus**

A ladder 15 feet long leans against a vertical wall. Supppose that when the bottom of the ladder is x feet from the wall, the bottom is being pushed towards the wall at the rate of 1/2x feet per second. How fast is the top of the ladder rising at the moment the top is 5 feet ...
*Monday, November 11, 2013 at 10:30pm*

**Calculus**

27 ft of wire is to be used to form an isosceles right triangle and a circle. Determine how much of the wire should be used for the circle if the total area enclosed is to be a maximum? I can only find the minimum because the parabola is opening upward
*Monday, November 11, 2013 at 6:11pm*

**Calculus**

For R"(x) = -15[(x-1)(e^-x)-(e^-x)] with 0 < x < 7 What interval is the graph concave and and concave down? I know concave up is (0,2). Is that right? Does concave down exist?
*Monday, November 11, 2013 at 6:06pm*

**calculus**

27 ft of wire is to be used to form an isosceles right triangle and a circle. Determine how much of the wire should be used for the circle if the total area enclosed is to be a minimum? Maximum?
*Monday, November 11, 2013 at 4:34pm*

**Check my CALCULUS work, please! :)**

Question 1. lim h->0(sqrt 49+h-7)/h = 14 1/14*** 0 7 -1/7 Question 2. lim x->infinity(12+x-3x^2)/(x^2-4)= -3*** -2 0 2 3 Question 3. lim x->infinity (5x^3+x^7)/(e^x)= infinity*** 0 -1 3 Question 4. Given that: x 6.8 6.9 6.99 7.01 7.1 7.2 g(x) 9.44 10.21 10.92 -11.08...
*Monday, November 11, 2013 at 9:24am*

**calculus**

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1
*Sunday, November 10, 2013 at 9:45pm*

**Really need help in Calculus Problem?!**

Use Euler's method with step size .2 to estimate y(.4), where y(x) is the solution of the initial value problem y=x+y^2, y=0. Repeat part a with step size .1
*Sunday, November 10, 2013 at 8:27pm*

**Calculus**

P(x) = 12x / (1-x) What are the critical points and where is P(x) increasing and decreasing?
*Sunday, November 10, 2013 at 8:17pm*

**CALCULUS**

If you could give an explenation with the answers, that'd be wonderful so I actually know how to solve similar problems in the future. :) Thank you so much! 1. A convex lens with focal length f centimeters will project the image of an object on a point behind the lens. If ...
*Sunday, November 10, 2013 at 6:27pm*

**Calculus**

For p = 15e^-x, 0 < x < 7, find the local extrema
*Sunday, November 10, 2013 at 4:10pm*

**Calculus Sigma Notation **

Find a and n such that: 8+16+32+64+128 (k=a) a=? n=?
*Sunday, November 10, 2013 at 4:08pm*

**CALCULUS**

Could someone please solve these four problems with explanations? I'd like to understand how to get to the answers. Thank you! Without using a calculator: For each of the following, find: I. lim x->a- f(x) II. lim x->a+ f(x) III. lim x->a f(x) A. f(x)=|x^2+3x+2|/x...
*Sunday, November 10, 2013 at 3:13pm*

**Calculus**

Find the critical points of f(x) = 0.05x + 25 + (180/x)
*Sunday, November 10, 2013 at 1:41pm*

**A/P Calculus**

A Cyclist is riding on a path whose elevation is modeled by the function f(x) = 0.08(16x-x^2) where x and f(x) are measured in miles. Find the rate of change of elecation when x=4. Would this be 0.64? dx/dt would be 1.28 - 0.16x and then plug in four?
*Saturday, November 9, 2013 at 8:19pm*

**A/P Calculus**

A cyclist is riding on a path whose elevation is modeled by the function F(X)=0.2x where x and f(x) arte measured in miles. Find the rate of change of elevation when x=5. ? Supposed answer: ?? 1
*Saturday, November 9, 2013 at 7:33pm*

**Calculus-Antiderivative **

Solve the following initial value problem: dr/dt=7cos(pi(t)), r(1/4)=14 r(t)=?
*Friday, November 8, 2013 at 7:36pm*

**Pre Calculus**

Prove that the equation is an identity. sec x/(sec x -tan x)=sec^2 x +sec x tan x
*Friday, November 8, 2013 at 7:31pm*

**Calculus Antiderivative Problem**

An object moves along a coordinate line with acceleration a(t)=(t+2)^3 units per second per second. a). The initial velocity is 9 units per second. The velocity function is v(t) = b).The initial position is 2 units to the right of the origin. The position function is x(t) =
*Friday, November 8, 2013 at 7:29pm*

**Calculus Antiderivative Problem**

A car traveling at 46 mph decelerates at 21 feet per second per second. a). How long does it take for the car to come to a complete stop? b). What distance is required to bring the car to a complete stop? An
*Friday, November 8, 2013 at 7:28pm*

**Please help with Calculus??**

Boxes are labeled as containing 500g of cereal. The machine filling the boxes produce weights that are normally distributed with standard deviation 12g. 1) Suppose a law states that no more than 5% of a manufacturer's cereal boxes can contain less than the stated weight of...
*Friday, November 8, 2013 at 4:32pm*

**Calculus **

If each edge of a cube is increasing at the constant rate of 3 cm per sec how fast is the volume increasing when X, the length of an edge, is 10 cm long?
*Friday, November 8, 2013 at 12:10am*

**Calculus!!!**

Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 8 + x3 + x5
*Thursday, November 7, 2013 at 8:47pm*

**calculus**

a spherical balloon filled with gas has a leak that permits the gas to escape at a rate of 1.5 cubic meters per minute. how fast is the surface area of the balloon shrinking when the radius is 4 meters?
*Thursday, November 7, 2013 at 2:54pm*

**Calculus I**

A zombie steps off a 35-foot wall by mistake, landing in the river below. How long will it take the zombie to fall?
*Wednesday, November 6, 2013 at 11:55pm*

**calculus HELP!**

An elevator in a high rise building accelerates and decelerates at the rate of 1 foot per second squared. Its maximum speed is 8 feet per second. It starts from rest, accelerates to its maximum speed and stays at that maximum speed until it approaches its destination where it ...
*Wednesday, November 6, 2013 at 9:53pm*

**math calculus**

A person stands on a bridge that is 100 feet above a river. If she drops a pebble how fast is it moving after 2 seconds? How long does it take the pebble to reach the river below? She has another pebble that she tosses up with initial speed of 8 feet per second. It goes up, ...
*Wednesday, November 6, 2013 at 9:52pm*

**Help! Calculus**

An elevator in a high rise building accelerates and decelerates at the rate of 1 foot per second squared. Its maximum speed is 8 feet per second. It starts from rest, accelerates to its maximum speed and stays at that maximum speed until it approaches its destination where it ...
*Wednesday, November 6, 2013 at 9:46pm*

**calculus HELP!**

A person stands on a bridge that is 100 feet above a river. If she drops a pebble how fast is it moving after 2 seconds? How long does it take the pebble to reach the river below? She has another pebble that she tosses up with initial speed of 8 feet per second. It goes up, ...
*Wednesday, November 6, 2013 at 9:45pm*

**Calculus**

Evaluate the surface integral. the double integral of (x^2 + y^2 + z^2)dS over Region S. S is the part of the cylinder that lies between the planes z = 0 and z = 5, together with its top and bottom disks Can anyone help?
*Wednesday, November 6, 2013 at 9:06pm*

**calculus**

A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 25 m above ground level?
*Wednesday, November 6, 2013 at 7:47pm*

**Calculus**

Suppose that f(x)=3x^3+3x. Find all critical values of f. Then use interval notation to state when f(x) is increasing and when f(x) is decreasing and to state when f(x) is concave up and concave down. Find the local maxima and local minima. Find all vertical and horizontal ...
*Wednesday, November 6, 2013 at 3:40pm*

**Calculus**

Suppose that f(x)=ln(3+x^2). Use interval notation to state when f(x) is concave up and concave down. Then find all inflection points for f(x).
*Wednesday, November 6, 2013 at 3:37pm*

**multivariable calculus**

Studying for a test, and saw this: Find the center of mass of the hemisphere x^2 + y^2 + z^2 = a^2; z>=0 if it has constant density. Any ideas?
*Wednesday, November 6, 2013 at 2:46pm*

**calculus**

A ladder of 85 m length is resting against a wall. If it slips 7 m down the wall, then how far is the bottom from the wall if it was initially 40 m away from it.
*Wednesday, November 6, 2013 at 2:40pm*

**Calculus - #6**

If the following function is continuous, then what is the value of b? g(f)={2t^2+2t-24 if f≠3 {b if f=3 0 3 7 14 None of these If the following function is continuous, then what is the value of a? h(f)={2t+b if f<0 {2cos(f)-3 if 0≤f≤(pi/2) {asin(f)+5b if f...
*Wednesday, November 6, 2013 at 11:57am*

**Calculus - #5**

If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)? 0 –2 –4 2 This is impossible. There is an infinite discontinuity at x = –2.
*Wednesday, November 6, 2013 at 11:34am*

**Calculus - #4**

Suppose g(x)={1/(x-2) if x<1 {2x-4 if x≥1 The best description concerning the continuity of g(x) is that the function: is continuous. has a jump discontinuity. has an infinite discontinuity. has a removable discontinuity. None of these
*Wednesday, November 6, 2013 at 11:31am*

**Calculus - #3**

Suppose g(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best description concerning the continuity of g(x) is that the function: is continuous. has a jump discontinuity. has an infinite discontinuity. has a removable discontinuity. None of these
*Wednesday, November 6, 2013 at 11:26am*

**Calculus - #2**

Suppose g(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best description concerning the continuity of g(x) is that the function: is continuous. has a jump discontinuity. has an infinite discontinuity. has a removable discontinuity. has both infinite and removable ...
*Wednesday, November 6, 2013 at 10:42am*

**Calculus - #1**

Suppose g(x)={1/x+1 if x<1 {2x-1 if x≥1 The best description concerning the continuity of g(x) is that the function: is continuous. has a jump discontinuity. has an infinite discontinuity. has a removable discontinuity. has both jump and infinite discontinuity.
*Wednesday, November 6, 2013 at 10:37am*

**Calculus-Aproximate Areas**

A ball is thrown upward at time t = 9 seconds on planet Ubuntu, and its acceleration from time t=9 seconds to t=21 seconds is given by the function . a(t) = (3) / (t - 8) m/s^2 Use 4 time intervals of equal length to overestimate, and then underestimate, the relative velocity ...
*Wednesday, November 6, 2013 at 8:42am*

**Calculus**

Answer the following questions for the function f(x)=(x^3-9x^2+27x-27)/(x^2-6x+8) defined on the interval [-14, 22]. Enter points, such as inflection points in ascending order. A. The function f(x) has vertical asymptotes at _______ and ________. B. f(x) is concave down on the...
*Tuesday, November 5, 2013 at 12:28pm*

**Calculus**

Consider the function f(x)=4(x-5)^(2/3). For this function, there are two important intervals: (-Inf, A) and (A, Inf) Where A is a critical number. Find A
*Tuesday, November 5, 2013 at 12:18pm*

**Calculus!!!**

A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the ...
*Tuesday, November 5, 2013 at 7:35am*

**calculus**

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 with boundries at [0,2]
*Tuesday, November 5, 2013 at 2:52am*

**calculus**

using 5 rectangles what is the area under a curve using the function f(x)=x with boundries at [-2,3]
*Tuesday, November 5, 2013 at 2:50am*

**calculus**

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 with boundries at [0,2]
*Tuesday, November 5, 2013 at 2:49am*

**Calculus**

I'm struggling some with the us of trigonomic properties. The problem is integral sin(2x)sec(x) dx and I dont understand how sin(2x)sec(x) simplifies into 2sin(x).
*Monday, November 4, 2013 at 9:49pm*

**Calculus-Aproximate Areas**

Estimate the area under the graph of f(x)=sin(pix) from x=0 to x=1 using the areas of 3 rectangles of equal width, with heights of the rectangles determined by the height of the curve a a) left endpoint: b) right endpoint:
*Monday, November 4, 2013 at 8:55pm*

**Calculus-Aproximate Areas**

Estimate the area under the graph of f(x)=sin(pix) from x=0 to x=1 using the areas of 3 rectangles of equal width, with heights of the rectangles determined by the height of the curve at a) left endpoint: b) right endpoint:
*Monday, November 4, 2013 at 7:03pm*

**Calculus**

Find two positive numbers that satisfy the requirements: "The product is 147 and the sum of the first number plus three times the second number is a minimum."
*Monday, November 4, 2013 at 5:33pm*

**English**

What is the gerund phrase and noun function of the gerund in these sentences: 1.Brett earns his income by repairing cars. 2.I enjoy playing the piano. 3.Her favorite pastime is entertaining friends. 4.She is successful in mimicking others' voices. 5.He must like studying ...
*Monday, November 4, 2013 at 5:13pm*

**Calculus-Approximate areas**

Estimate the area under the graph of f(x)= x^2 + 3 x from x=1 to x=10 using the areas of 3 rectangles of equal width, with heights of the rectangles determined by the height of the curve at a) left endpoints: b) right endpoints:
*Monday, November 4, 2013 at 12:59pm*

**Calculus II**

A cable that weighs 1.5 lb/ft is used to lift 700 lb of coal up a mineshaft that is 400 ft deep. Find the work done.
*Sunday, November 3, 2013 at 5:56pm*

**calculus**

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = (36 − t^2)^ 1/t, [−1, 6]
*Sunday, November 3, 2013 at 5:02pm*

**Calculus**

According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches. A. What is the probability that an adult male chosen at random is between 61 inches and 71 inches tall? B...
*Sunday, November 3, 2013 at 3:56pm*

**Brief calculus**

The marginal cost of producing the xth box of CDs is given by 9 − x/(x^2 + 1)^2. The total cost to produce 2 boxes is $1,200. Find the total cost function C(x). I'm getting 9x-(1/(x^2 - 1))+1181.9 but i guess its wrong
*Sunday, November 3, 2013 at 3:45pm*

**Calculus**

A) Find the average value of f(x)=x^3-x+1 on the interval (0,2) B) Find c so that f(c)equals the average value
*Sunday, November 3, 2013 at 3:44pm*

**Calculus - Compound Interest**

Recently, a certain bank offered a 10-year CD that earns 8.93% compounded continuously. a) If $20,000 is invested in this CD, how much will it be worth in 10 years? Ans: I used the formula A = Pe^(rt) to get the answer $48,848.92 b)How long will it take for the account to be ...
*Sunday, November 3, 2013 at 3:34pm*

**Pre-Calculus**

How is -16/(4x+6)^5 and -1/(2(2x+3)^5) equivalent? I think -1/2(2x+3)^5 is the more simplified version of the two, but I just can't figure out how -16/(4x+6)^5 simplifies to -1/(2(2x+3)^5). please explain
*Sunday, November 3, 2013 at 1:36pm*

**calculus**

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = e−x − e−7x, [0, 1]
*Sunday, November 3, 2013 at 1:06pm*

**Calculus **

Given V(t) = 125,000e^(t/8) find V('t)
*Sunday, November 3, 2013 at 12:54pm*

**Calculus **

A 17 foot ladder is leaning against a wall. The bottom of the ladder is moving out away from the wall at 0.6 feet per second. The top of the ladder then begins sliding down the wall. How fast is the top of the ladder going when the bottom is 8 feet away from the wall?
*Sunday, November 3, 2013 at 12:39pm*

**calculus**

A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. (a) How much wire should be used for the square in order to maximize the total area?
*Sunday, November 3, 2013 at 10:35am*

**calculus**

A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 18 m above ground level?
*Sunday, November 3, 2013 at 10:33am*

**calculus**

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
*Sunday, November 3, 2013 at 10:32am*

**calculus**

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00 PM?
*Sunday, November 3, 2013 at 10:32am*

**Calculus-Newton Method Approximation **

Use Newton's method to approximate the positive value of x which satisfies x=2.3cosx Let x0=1 be the initial approximation. Find the next two approximations, x_1 and x2, to four decimal places each.
*Friday, November 1, 2013 at 10:10pm*

**Calculus-Applied Optimization Problem**

The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 425 dollars per month. A market survey suggests that, on average, one additional unit will remain vacant for each 9 dollar increase in rent. Similarly, one additional ...
*Thursday, October 31, 2013 at 9:27pm*

**Pre-Calculus**

I don't understand,please be clear! Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z
*Thursday, October 31, 2013 at 7:01pm*

**Calculus-Applied Optimization Quiz Problem**

A rancher wants to fence in a rectangular area of 23000 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of fencing that will be required to do this?
*Thursday, October 31, 2013 at 6:38pm*

**Calculus-Applied Optimization Problem**

If a total of 1900 square centimeters of material is to be used to make a box with a square base and an open top, find the largest possible volume of such a box.
*Thursday, October 31, 2013 at 5:09pm*

**Pre-Calculus**

Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s= csc^2 s - csc s cot s 3. (cos x/ sec x -1)- (cos x/ tan^2x)=cot^2 x 4. sin^3 z cos^2 z= sin^3 z - sin^5 z
*Thursday, October 31, 2013 at 10:03am*

**Calculus**

How to integrate dx/(4-5 sin x) using t-substitution method(i.e. taking tan x/2=t)?
*Thursday, October 31, 2013 at 8:15am*

**Calculus **

What is the radius of convergence of the power series (((2n)!x^(n))/((2n-1)!)), and what is its interval of convergence? I used the ratio test and found that the radius of convergence is 0, as it is impossible for the absolute value of infinity to be less than 1. I am not sure...
*Thursday, October 31, 2013 at 2:39am*

**Pre-Calculus**

Let f(x) = [(√x)-7]/[(√x)+7]. What is f'(x)? What is the easiest way to find the derivative of this? Should I remove all the radicals and use quotient rule, like f'(x)= ((x^0.5) + 7)(0.5x^-0.5) - ((x^0.5)-7)(0.5x^-0.5) / ((x^0.5) + 7)^2 Is this right? How ...
*Thursday, October 31, 2013 at 2:38am*

**Calculus **

How do I find the radius of convergence of a series where n=1 to infinity of (14^(n)x^(n)n!)? I have tried using the ratio test but I eventually get to this step: lim as n approaches infinity of absolute value of (14x(n+1)), which equal infinity. How am I to set the absolute ...
*Thursday, October 31, 2013 at 1:53am*

**Calculus-concavity and graphing**

(2x+1)/(8x+1) f is increasing for x: f is decreasing for x: find local max/min:
*Wednesday, October 30, 2013 at 9:50pm*

**calculus**

i need help with proving five steps of l hospitals rule for (ex^2-1)/x
*Wednesday, October 30, 2013 at 3:54pm*

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