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Estimate the area under the graph of f(x) = 10 cos(x) from x = 0 to x =

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Calculus
Estimate the area under the graph of f(x)=cos((pi/4)x) from x=-2 to x=2 using 3 rectangles of equal width, using left and right endpoints.?

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-...

Calculus
Determine an upper/lower estimate for the area under the curve f(x) = cos x between x = 0 and x = pi/2 . Show how you arrive at this estimate. This is the question that my teacher wanted us to answer and I'm not sure how to even start the process. Should I use Reimann's Sum? ...

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. ...

Calc
Suppose that we want to estimate the area under the graph of f(x)=X^2+x for x=1 and 3. What is the value of the estimate using four rectangles and taking the sample points to be left-hand endpoints?

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 ...

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

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 ...

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.

Calculus
Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?

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?

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.

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.

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.

Calculus
Estimate the area under the graph of f(x)= x^2 + 2 x from x=1 to x=5 using 4 approximating rectangles and left endpoints.

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.

calc
a) Estimate the area under the graph of f(x) = 10(sqrt(x)) from x = 0 to x = 4 using four approximating rectangles and right endpoints

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?

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. ...

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.

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 ...

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...

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 ...

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.

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 ...

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.

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

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 ...

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 ...

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...

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...

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...

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...

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!

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...

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:

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 ...

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:

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:

math
Estimate the area under the curve f(x) = 16 – x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. Answer to the nearest integer.

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 ...

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)

Calculus
Use a graphing utility to graph the polar equation shown below. r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π For the integers n = -5 to n = 5. As you graph these equations, you should see the graph change shape from a heart to a bell. I'm sorry. I'm having issues with graphing this.

Physics
How do you convert a distance time graph to a velocity time graph. In my first distance time graph, i have 3 curves, two are above the x axis the the middle curve is under the x axis. i am confused on how to change this graph into a velocity time graph since i cant find the ...

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 ...

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) (...

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?

Geometry
Need help, not sure what I am suppose to do. Estimate the area between the graph of 4y = 16 - x^2 and the x-axis. The picture of a mound is on a piece of graph paper. Points A(-4,0) B(0,4)(4,0) Point B is the top of mound.

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)

precalculus
for the question graph r = cos 5Θ + n cos Θ, 0 ≤ Θ ≤ π For the integers n = -5 to n = 5. Does this mean that -5,-4,-3,-2,-1,0,1,2,3,4, and 5 are all on the same graph? I really do not understand polar graphs any help would be much appreciated.

trig
I don't 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= -...

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) = _____________˚...

Math
Melvin estimate 645 + 322 by adding 600 + 300. Is his estimate sum an over or under estimate please? Ty

Calc 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = x^−3, 1 ≤ x ≤ 5

Calculus 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = x^−3, 2 ≤ x ≤ 5

Calc1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = sec^2 x, 0 ≤ x ≤ π/4

Calc 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = 6 sin x, 0 ≤ x ≤ π

Calc 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = 5th root(x), 0 ≤ x ≤ 32

Calculus 1
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = cube root(x) , 0 ≤ x ≤ 27

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. ...

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'...

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?

Math: Trigonometry
For how many values of n with 0<=n<=100 is the graph of f(x) = sin(x + n) identical to the graph of g(x) = cos(x)? I think that I should use the relationship that cos(x)=sin(90-x) but I'm not sure how.

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.

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?

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 ...

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...

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)

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.

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 ...

Calculus Urgent
graph y=cos(pi*x/2) and y=1-x^2 and use integration to find the area in between the curve. Okay, so when I graph these two I see that they like overlap during the [-1,1] x interval. But maybe there is still a small gap in between? But I'm not sure if the [-1,1] x interval is ...

Physics
What does the area under a velocity vs. time graph represent??

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 don't know how. it also asks me to find: The x-coordinates of the eight turning points on the graph are ...

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?

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 ...

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) ...

math
List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10.

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 ...

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 ...

calculus
Find the area of the region under the graph of the function f on the interval [-1, 2]. f(x) = 6x + 1

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)

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 ...

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)

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...

Calculus
If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate? Underestimate Overestimate The area will be exact The area cannot be estimated with ...

calculus
Find the area under one arch of curve y=cos(x/4). This lesson is plane areas in rectangular coordinates. I don't know how to solve it. Thanks for your help.

Calculus
Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

science
which physical quantity is given under the area of velocity time graph?

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...

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

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.

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...

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...

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

calculus
Find the dimensions of the rectangle with the largest area if the base must be on the x-axis and its other two corners are on the graph of: (a) y=16-x²,-4<=x<=4 (b)x²+y²=1 (c)|x|+|y|=1 (d)y=cos(x),-pi/2<=x<=pi/2

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)).

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

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 ...

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].

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..?

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