Monday

September 15, 2014

September 15, 2014

Number of results: 29,564

**calculus**

given the graph of f(x) = x sinx, 0<=x<=2pi assuming that a quantity y changes at a rate of y' = xsinx, find by how much it will increase or decrease over 3pi/2 <= x <= 2pi the area under the graph from 0 to pi/2 is 1 the area under the graph from pi/2 to pi is pi-...
*September 27, 2011 by Ethan*

**Calculus**

Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles. b. Sketch for yourself the graph of f and the rectangles. Is this left sum an overestimate or underestimate? Enter OVER or UNDER. c. Now use 5 right rectangles to estimate the area. ...
*April 12, 2013 by Daniel*

**Calculus **

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to find an expression for the ...
*November 24, 2013 by christina*

**Calculus**

Set up a Riemann sum to estimate the area under the graph of f(x) = 5x 2 + 2 between x = 0 and x = 1 using 3 subdivisions and left endpoints. Draw the graph and the 3 rectangles
*December 5, 2012 by Rudy*

**Math: Need Answer to study for a quizz. Help ASAP **

Estimate the area under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3] using a definite ...
*November 18, 2010 by Jesse*

**Math**

Estimate the are under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3] using a definite integral.
*November 18, 2010 by Jesse*

**Calculus**

Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?
*April 12, 2013 by Molly*

**Calculus**

Use 5 right rectangles to estimate the area of the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?
*April 12, 2013 by Molly*

**Calc**

Estimate the area under the graph of f(x)= x^2 + 2 x from x=4 to x=10 using 3 approximating rectangles and left endpoints.
*April 22, 2009 by Perry*

**Calculus**

Use n = 3 subdivisions and left endpoints to estimate the area under the graph of f(x) = 3x 2 + 1 between x = 0 and x = 1.
*December 5, 2012 by Rudy*

**Calculus**

Use n = 6 subdivisions and left endpoints to estimate the area under the graph of f(x) = 2x + 1 between x = 0 and x = 3.
*December 5, 2012 by Rudy*

**calculus**

4. a. Estimate the area under the graph of f(x)=sqrt(x^2+4) from x=0 to x=2 using four rectangles and right endpoints.
*July 21, 2011 by Rick*

**Calculus - maximum problem**

An isosceles trapezoid is inscribed under the graph oof y =cos x. what are the dimensions which will give the greatest area?
*October 26, 2009 by calculus*

**Math: Calculus**

Estimate the area under the graph of f(x)=3x^3+5 from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints. I'm having problem with using the midpoint to find the area. ...
*November 12, 2010 by REALLY NEED HELP!!!!*

**Math**

Use the following table of values to estimate the area under the graph of f(x) over [0, 1] by computing the average of R5 and L5. Table: x: 0 0.2 0.4 0.6 0.8 1 f(x): 51 48 46 43 41 38 I need help with this problem.
*July 1, 2010 by Jason*

**Calculus**

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving ...
*May 20, 2007 by Anonymous*

**calculus**

Let A be the area if the region in the first quadrant under the graph of y = cos(x) and above the line y = k for 0 < k < 1. a. Determine A in terms of k. b. Determine the value of A when k = 1/2 c. If the line y = k is moving upward at a rate of 1/pi units per minute, at...
*March 23, 2010 by mary*

**physics**

The first graph you plotted is called a speed-time graph. However, information other than speed or time can be obtained from such graphs. (a) What does the area under the line of the graph represent? the distance traveled? (b) Write an equation to represent the area under the ...
*October 21, 2007 by Anonymous*

**Algebra 1B**

A painter can use the formula A=2/3bh to estimate the Area of space under the parabola, where b is the length of the base and h is the height from the base to the vertex. Calculate the area, in square feet under each arch.
*April 2, 2013 by Frank J*

**Calculus**

Question Details: Do the following. (Round your answers to four decimal places.) (a) Estimate the area under the graph of f(x) = 8 + 2x2 from x = -1 to x = 2 using three rectangles and right end-points. R3 = 1 Improve your estimate by using six rectangles. R6 = 2 (b) Repeat ...
*April 26, 2010 by Cindy *

**Math: Calculus**

Estimate the area under the graph of f(x)=x^2+2x from x = 4 to x = 10 using 3 approximating rectangles and left endpoints. I got 290.25 as my answer but it's wrong. Would someone explain to me how to answer this question.
*November 12, 2010 by REALLY NEED HELP!!!!*

**Calc I**

with finding the area under a line i need to find anti derviatives for: e^3x dx Cos^4 x Sinxdx e^(x^2) xdx e^x^2 dx Cos(3x)dx
*December 8, 2011 by kenny*

**Calculus**

Estimate the area under the graph of f(x) = 2x^3 + 3 from x= -1 to x=5, first using 6 approximating rectangle and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints. When using the left and right endpoints, is there a ...
*November 10, 2009 by Z32*

**Python programming**

A standard problem in mathematics is to measure the area under a curve (or to integrate the function defining the curve). A simple way to do this is to approximate the area with a series of rectangles (whose areas are easy to compute). For example, we could split the range ...
*January 13, 2013 by Anonymous*

**Calculus **

Estimate the area under the curve f(x)=x^2 between x=0 and x=1 using 4 rectangles of equal width if a) The height is taken from the right endpoint b) The height is taken from the midpoint. I have no idea what exactly this question is asking me to do is this suppose to be a bar...
*March 11, 2012 by Enrique *

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*May 17, 2012 by Anonymous*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*May 17, 2012 by Anonymous*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*May 17, 2012 by Anonymous*

**trig function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Please help, thank you!
*May 17, 2012 by Kjd*

**trig and combine function**

Suppose f(x)=cos x - sin x and g(x)=cos x + sin x. Explain why the graph of (fxg)(x) is equivalent to the graph of h(x)=cos x after it has been horizontally compressed by a factor of 1/2. Thanks so much...
*May 16, 2012 by thomas*

**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:
*November 4, 2013 by Liz*

**hi calculus asap**

the graph of a piecewise linear function f, for -1<x<4. what is the value of integral (-1 to 4) F(x) dx? the interval i gave is grerater than or equal to and less than and equal to. i didn't know how to put the underscore under the symbol. for the integral, -1 is on the ...
*November 30, 2006 by Anonymous*

**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:
*November 4, 2013 by Liz*

**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:
*November 4, 2013 by Liz*

**Pre-Calc**

Can anyone help with the following problem please...Thank u so much Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)
*December 8, 2010 by Amy*

**Calculus **

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ???? Then improve your estimate by using six rectangles. R6= ????? Sketch the curve and the approximating rectangles for R3. Sketch the curve and the ...
*April 23, 2014 by TANYA*

**Calculus Help Please Urgent!!!**

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ??? Then improve your estimate by using six rectangles. R6= ??? Sketch the curve and the approximating rectangles for R3 and R6? b) Repeat part (a) using left ...
*April 26, 2014 by Anonymous*

**Calculus**

Estimate the area under the graph f(x)=3x^3 + 5 from x=-1 to x=5 using 12 mid points? I got the right answer for using 6 mid points but what mid points would I use for 12?
*April 20, 2010 by Z32*

**Pre-calc**

Can someone please show me the steps to this problem...Thanks in advance. Let f(x) = Ð9xÐ. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)
*December 7, 2010 by Amy*

**K**

(a) Find the indeﬁnite integrals of the following functions. (i) f (t) = 6 cos(3t) + 5e^−10t (ii) g(x) = 21-12x^3/ x (x > 0) (iii) h(u) = cos^2( 1/8 u) (b) Evaluate: (this big F sign at the start, 5 at the top and 1 at the bottom) 5 1/4x (7 + 6x^2) dx F 1 (c) (...
*March 24, 2008 by maths*

**trig**

I dont understand this. can you please tell how you got each answer? describe how the graph of each function is related to a basic trigonometric graph. 1. y= 1/2cos x 2. y= 2cos x+1 3. y= sin x-4 4. y= sin(x-4) 5. y= sin(3x) 6. y= cos(1/2x) 7. y= -cos x 8. y= -cos x+2 9. y= -...
*February 10, 2012 by BreAnne*

**Triggggggg ;(**

Use your graphing calculator to graph y = cos^−1(x)in degree mode. Use the graph with the appropriate command to evaluate each expression. (a)cos^−1(√2/2) = ___________˚ (b)cos^−1(-1/2) = _____________° (c)arccos (√3/2) = _____________˚ ...
*March 3, 2014 by Anonymous*

**Math**

Melvin estimate 645 + 322 by adding 600 + 300. Is his estimate sum an over or under estimate please? Ty
*September 15, 2011 by Kelly*

**Math**

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. x = sec Q y = cos Q x^2 + y^2 = 1/cos^2 + sin^2/cos^2 = x^2(1 +sin^2) = x^2(2-cos^2) x^2(2-1/x^2) = 2x^2 - 1 x^2 - y^2 = 1 My teacher said to use secant*cosine = 1. ...
*May 4, 2010 by Abbey*

**science/math**

I have to make this density graph on a standard sheet of graph paper of this area outside. Each side of the area is a meter (in real life). What would be an good scale to use for my graph on graph paper?
*September 26, 2008 by Jasmine*

**Math**

Graph and identify the kind of conic the graph represents: a. x(t)=3 cos t y(t)=3 sin t on [0,2pi] b. x(t) =2 cos t y(t) =5 sin t on [1,5] I tried graphing A on my TI-89 calculator as y(1)=3 cos x and y(2)=3 sin x. All I see are two wave-like graphs crossing each other; I don'...
*August 11, 2009 by Nikki*

**trig**

By what fraction of the period of f(x)=10 cos(7 x) has the graph of f(x) been shifted to obtain the graph of g(x)=10 cos(7x- pi/2). how do I approach this and solve for the fraction shift and the domain and range?
*July 2, 2010 by tamara*

**calculus**

A rectangle with its base on the x-axis is to be inscribed under the graph of y=2-x^2. Find the height of the rectangle if the area is the largest possible area.
*March 2, 2008 by Anonymous*

**algebra**

y= -x^2-12x+28 A painter can use the formula A=2/3bh to estimate the area of space under the parabola. Calculate area in square ft under each arch ~ if there are 8 arches to be painted how many square ft must be painted ~ if 1 gallon paints 200 square ft , how many gallons ...
*March 31, 2013 by nancy*

**calculus**

A rectangle with its base on the x-axis is to be inscribed under the graph of y=2-x^2. Find the height of the rectangle if the area is the largest possible area. (Round to the nearest hundreth)
*November 13, 2011 by Sarah*

**Graphing - Trigonometry**

Below is the graph of y = a cos(bx+c)+d, where a, b, and c are positive, and c is as small as possible. Find a + b + c + d. prntscr. com/20mkyo The link is to a screenshot of the graph. (without spaces) I'm unsure of how to solve - I tried it and got y = 2 cos (2/3x + 5pi/2...
*October 29, 2013 by Sam*

**Physics**

On a postition versus time graph to find the acceleration you would simply find the area under the graph right? and how would you figure out whether acceleration is increasing, decreasing, constant of unknown from a graph? My guess is that the accereration is constant throughout.
*September 21, 2007 by Tammy*

**calculus**

pleaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasw help can you pleaaaaase help me find the area between y=cos(4x) and y=1-cos(4x) 0<=x<=pi/4 i tried to solve it, and i got like : 2*sqrt3+ pi/12 is it right? if not please tell me how can i solve it...i'm really confused i found ...
*May 2, 2010 by aymal*

**calculus**

The graph of f'(x) is shown for 0=< x =<10. The areas of the regions between the graph of f' and the x-axis are 20, 6, and 4, respectively. I'm going to describe the graph of f' since I can't post pictures. The first section of the graph goes up (like the sin function) ...
*May 2, 2011 by Mike*

**Physics**

What does the area under a velocity vs. time graph represent??
*September 18, 2009 by Layla*

**Calculus**

Find the area cut off by x+y=3 from xy=2. I have proceeded as under: y=x/2. Substituting this value we get x+x/2=3 Or x+x/2-3=0 Or x^2-3x+2=0 Or (x-1)(x-2)=0, hence x=1 and x=2 are the points of intersection of the curve xy=2 and the line x+y=3. Area under curve above X axis ...
*April 1, 2014 by MS*

**pre calc**

A graph of y = cos(1/2 x) - sin( x) for -4ð x 4ð is shown in the figure. Assume z = 4. (the figure is just the graph) its asking me to find the x intercepts but i dont know how. it also asks me to find: The x-coordinates of the eight turning points on the graph are solutions ...
*August 3, 2011 by g*

**Math**

Jenna lives 4 3/10 miles from school, she estimates that she travels 4 x2x5 or 40 miles each week. Is her estimate an over estimate or underestimate? I think it is under estimate but not sure?
*February 12, 2013 by Jared*

**calculus**

Find the area of the region under the graph of the function f on the interval [-1, 2]. f(x) = 6x + 1
*December 8, 2010 by Anonymous*

**Calculus**

(a) By graphing the function f(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x → 0 f(x). (b) Check your answer in part (a) by evaluating f(x) for values of x that approach 0. (Round your ...
*August 30, 2012 by Anonymous*

**Calculus**

(a) By graphing the function f(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the graph crosses the y-axis, estimate the value of lim x → 0 f(x). (b) Check your answer in part (a) by evaluating f(x) for values of x that approach 0. (Round your ...
*August 30, 2012 by Anonymous*

**Calculus**

Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4</=x</=9. (a)Find the area of R. I took the antideriative. Then, I plugged in the 9 and 4. I got 2. (b) If the line x=k divides the region R into two regions of equal area, what is the value of...
*December 13, 2007 by Anonymous*

**Homework Help Calculus**

Find the linear approximation L(x)of the function f(x)=cos(pi/(6)x) at the point x=1 and use it to estimate the value of cos(13pi/72). Here's what I did so far: L(x)=sqrt(3)/2-1/12pi(x-1)+0((x-1)^2) How do I find cos(13pi/72)
*October 16, 2013 by Amy*

**Algebra 2 Need Help**

1. function g(x)=-x^2-3x+7 . Find the area under the curve for the domain –4£ x £ 1. a 71.6 square units b. 46 square units c.35.83 square units d.17.916square units 2. y=2sin(circle with a line through it) a. How many cycles occur in the graph? b. Find the period of the graph...
*August 5, 2012 by Anonymous*

**6th G-Math**

1.What is a reasonable estimate for the area of a circle with radius 4 cm? A. Area=12cm^2 B. Area=16cm^2 C. Area=24cm^2 D. Area=48cm^2
*April 9, 2012 by Lauren*

**trig**

Graph one complete cycle of y + cos x cos pi over6 + sin x sin pi/6 by first rewriting the right side in the form cos(A-B)
*February 28, 2008 by Rick*

**Calculus - please help!**

Suppose that 0 < c < ¥ð/2. For what value of c is the area of the region enclosed by the curves y = cos x, y = cos(x - c), and x = 0 equal to the area of the region enclosed by the curves y = cos(x - c), x = ¥ð, and y = 0? i have no idea how to solve this question.
*November 25, 2010 by K*

**algebra**

The drama club is building a backdrop using arches whose shape can be represented by the function f(x)=-x^2+2x+8, where x is the length in feet. The area under each arch is to be covered with fabric. -What is the length of the segment along the floor of each arch? -What is the...
*May 8, 2008 by astrid*

**integration**

Find the area of the region under the graph of the function f on the interval [-1, 2]. f(x) = 6x + 1 bound by the x axis
*December 8, 2010 by peter*

**Calc.**

Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln y = x ln(cos x) (dy/dx)/(y)= ln(cos x) (dy/dx)= y ln(cos x) = (cos x)^x * (ln cos x) (dx/du)= x(cos x)^(x-1) * (-sin x) = - x sin(x)cos^(x-1)(x) (dy/dx)-(dx/du)= [(cos^x(x))(ln(cos(x)))-(x sin(x)cos^(x-1...
*March 9, 2011 by Chelsea*

**calculus**

Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln y = x ln(cos x) (dy/dx)/(y)= ln(cos x) (dy/dx)= y ln(cos x) = (cos x)^x * (ln cos x) (dx/du)= x(cos x)^(x-1) * (-sin x) = - x sin(x)cos^(x-1)(x) (dy/dx)-(dx/du)= [(cos^x(x))(ln(cos(x)))-(x sin(x)cos^(x-1...
*March 10, 2011 by Chelsea*

**calculus(Lab)**

Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw four inscribed ...
*January 25, 2012 by Yoona*

**math**

Determine exact value of cos(cos^-1(19 pi)). is this the cos (a+b)= cos a cos b- sina sin b? or is it something different. When plugging it in the calculator, do we enter it with cos and then the (cos^-1(19 pi)).
*April 14, 2012 by Anonymous*

**math**

Find the area of the region under the graph of the function f on the interval [4, 10]. f(x)=10x-5 ? square units
*November 30, 2012 by Ashton*

**Calculus**

Use a simple area formula from geometry to find the area under function A(x) that gives the area under the function f(x) = 9 on the interval [2, x].
*December 19, 2010 by Raj*

**physics**

the slope of a velocity-time graph represents? the area under a velocity time-graph represents? the slope of a line drawn tangent to a curved position-time graph represents..?
*September 14, 2009 by kaaay*

**trig**

Graph three periods of the function. (identify period and phase shift and intercepts) y = f(x) = √3/2 sin(2x) - 1/2 cos(2x) if you can't graph it can you at least get it into that simpler form which is graph able.
*May 5, 2010 by richard*

**calculus**

The approximation to the area under the graph of the function f(x)= 1/(1+x^2) on the interval [-1,1], using four rectangles and the midpoint rule is
*April 7, 2011 by Anonymous*

**math**

Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x)= 2-3square root x ? square units
*December 6, 2012 by Britney*

**Calculus**

If 0 <= k <= pi/2 and the area of the region in the first quadrant under the graph of y = 2x-sinx from 0 to k is 0.1, then k = (a) 0.444 (b) 0.623 (c) 0.883 (d) 1.062 (e) 1.571
*December 21, 2012 by Anonymous*

**pre-cal**

Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos 6x can be expressed as a series of terms that involve sin x or cos x only, but the end result is not a simplification. sin 2x = 2 sinx cosx cos 6x = 32 cos^6 x -48 cos^4 x + 18 cos^2 x - 1 I assume you are ...
*May 17, 2007 by ethan*

**calc**

find the area between the x-axis and the graph of hte given function over the given interval: y = sqrt(9-x^2) over [-3,3] you need to do integration from -3 to 3. First you find the anti-derivative when you find the anti-derivative you plug in -3 to the anti-derivative and ...
*April 18, 2007 by mikayla*

**algebra**

Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8). one I draw the graph how do I figure out the area of the...
*February 28, 2011 by bianca*

**Precalculus**

Let G be the graph of the parametric equations x=cos(4t)and y=sin(6t). What is the length of the smallest interval I such that the graph of these equations for all t in I produces the entire graph G?
*February 28, 2014 by John*

**Precalculus**

Let G be the graph of the parametric equations x=cos(4t)and y=sin(6t). What is the length of the smallest interval I such that the graph of these equations for all t in I produces the entire graph G?
*March 2, 2014 by John*

**Calculus**

Graph the parametric equations: x=cos(t) y=sin(t) z=cos(2t) How would I go about solving this problem? thanks!
*April 21, 2013 by Anonymous*

**Calculus**

Graph the parametric equations: x=cos(t) y=sin(t) z=cos(2t) How would I go about solving this problem? thanks!
*April 21, 2013 by Anonymous*

**Calculus**

Consider the function x^2+x-4 Estimate the area between the graph and the x-axis between x=2 and x=4 using four rectangles and right end points.
*December 17, 2013 by Lindsay*

**maths**

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ (cos pie/6 - isin pie/6)^2 4.Find the ...
*February 19, 2013 by muselitata*

**maths**

1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ (cos pie/6 - isin pie/6)^2 4.Find the ...
*February 19, 2013 by muselitata*

**calculus**

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
*November 19, 2009 by Dana*

**Calculus**

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your answer to four decimal places.
*November 19, 2009 by Dana*

**calculus**

Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 5. Use the left-hand rule with n = 50. (Round your answer to four decimal places.)
*November 14, 2011 by Anonymous*

**maths**

Find the roots of z^6 + 1 and hence resolve z^6 + 1into read quadratic factors; deduce that cos3x = 4[cos(x) -cos(pi/6)][(cos(x) -cos(pi/2)][(cos(x) -cos(5pi/6)]
*November 10, 2008 by jake*

**maths**

Find the roots of z^6 + 1 and hence resolve z^6 + 1into read quadratic factors; deduce that cos3x = 4[cos(x) -cos(pi/6)][(cos(x) -cos(pi/2)][(cos(x) -cos(5pi/6)]
*November 10, 2008 by jake*

**Calc.**

Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under the tangent. Find out...
*September 26, 2006 by Hebe*

**calculus**

Posted by Paul on Friday, February 19, 2010 at 3:57am. I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}? And what happens to the graph and to the value of the ...
*February 24, 2010 by Paul*

**Algebra II**

State the phase shift of y=cos(theta-[pi/3]). Then graph the function. I know that you cannot graph on this site but how do I solve for the phase shift and to graph the phase shift, would I first have to graph the current equation? Thanks.
*April 19, 2008 by Lucy*

**CALC**

Let f(x) be the function e^sin(x/10). If you wanted to estimate the area under the curve for this function from 3 to 5, how many intervals would you need to use to be sure that your upper and lower bounds differered by no more than .01?
*January 30, 2008 by anonymous*

**Math - Solving Trig Equations**

What am I doing wrong? Equation: sin2x = 2cos2x Answers: 90 and 270 .... My Work: 2sin(x)cos(x) = 2cos(2x) sin(x) cos(x) = cos(2x) sin(x) cos(x) = 2cos^2(x) - 1 cos(x) (+/-)\sqrt{1 - cos^2(x)} = 2cos^2(x) - 1 cos^2(x)(1 - cos^2(x)) = 4cos^4(x) - 4cos^2(x) + 1 5cos^4(x) - 5cos^...
*November 24, 2007 by Anonymous*

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