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

34,149 results
1. calculus

Estimate the area under the curve f(x) = x2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to the nearest integer.

2. Geometry

Which statement is true? A. All squares are rectangles. B. All quadrilaterals are rectangles. C. All parallelograms are rectangles. D. All rectangles are squares. I thought it was B.

3. Calculus

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.

4. Calculus

Given the table below for selected values of f(x), use 6 right rectangles to estimate the value of the integral from 1 to 10 of f(x)dx. Table: 1 3 4 6 7 9 10 4 8 6 10 10 12 16 The only problem I'm having with this is figuring out the values of f(2.5),

5. calculas

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.) g(x) = 7 sin x, [0,

6. Calculus

Use this definition with the right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x)= 3+sin^2(x) 0

7. Math

Jan has a 5 × 8 cardboard rectangle. She wants to divide it into smaller rectangles. What are two possible area totals for the smaller rectangles? A. 24 and 16 B. 22 and 16 C. ***** 36 and 12 D. 8 and 12 please help im stuck on this one can someone help

8. 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

9. Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval [1, 5]. Evaluate the function at the mid-point of each rectangle to find each height. a) 8 b) 12 c) 16 d) 20 thank you in

10. hi calculus asap

the graph of a piecewise linear function f, for -1

11. Calculus

1. The differential equation dy/dx equals x-2/y-2 I .produces a slope field with horizontal tangents at y = 2 II. produces a slope field with vertical tangents at y = 2 III. produces a slope field with columns of parallel segments A. I only B. II only C. I

12. Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( πx) and the x-axis on the interval [4,8]. Evaluate the function at the mid-point of each rectangle to find each height. a) 20 b) 24 c) 26 d) 28 Thanks in advance

13. Math

7. Which of the following is a true statement? (1 point) It is possible for two rectangles to have the same area, but only if they also have the same perimeter. It is possible for two rectangles to have the same area without having the same perimeter. It

14. Calculus

Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. Answer to the nearest integer.

two rectangles have an area of 36 square inches. Name two possible perimeters for the rectangles.

16. 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

17. 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

18. 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

19. 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

20. 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

21. Calculus

If the area under the curve of f(x) = 25 - x^2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate? 1) Underestimate 2) Overestimate 3) The area will be exact

22. math

Lee wants to cut this piece of canvas into two rectangles that are 3×2 and 3×5. He wants the sum of the areas of the two small rectangles to be the same as the area of the large rectangle. Can he do this? Explain

23. math

Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is not possible to draw more than two different rectangles with an area of 15 square units. The sides of the rectangles are whole numbers. EXPLAIN

24. Calculus

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. g(x) = 2x^2 − x − 1, [3, 5], 4 rectangles __ < Area < __

25. 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.

26. Math(Connexus 6th)Unit 6

A room has 2 sections as shown in the picture below. Which expression uses the Distributive Property to find the total area of the room? (A rectangle is divided into two smaller rectangles by a vertical line. The vertical height of the rectangles is 14. To

27. Calculus

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table below. Find lower and upper estimates of the distance she covered during the first three seconds of the race. Use

28. 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

29. 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

30. Calculus

I am in a car and travel for 12 minutes. Below are the speeds in mph, recorded every two minutes. Use trapezoids, right-bound rectangles, and midpoint rectangles to estimate the distance I traveled. Min 0 2 4 6 8 10 12 Speed 20 22 35 46 50 50 20

31. 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

32. 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

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

34. 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.

35. 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:

36. calculus

Use left endpoints and 9 rectangles to find the approximation of the area of the region between the graph of the function cos2x and the x-axis over the interval [0, pi/2] . Round your answer to four decimal places.

37. Math

Maya has 5 sheets of paper. She cuts each sheet into 3 equal sized rectangles. The rectangles are shared equally among 6 students. How many rectangles does each student get?

38. math

Which of the following is a true statement? A. It is possible for two rectangles to have the same area, but only if they also have the same perimeter. B. It is possible for two rectangles to have the same area without having the same perimeter. C. It is

39. math

On a centimeter dot array, draw all possible rectangles with a perimeter of 16cm and sides whose lengths are whole centimeters. Label the lengths of two adjacent sides of each. Also the area of each rectangle. Compare the shapes of the rectangles with the

40. 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

41. 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]

42. 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]

43. 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?

44. 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

45. 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:

46. 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?

47. 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:

48. 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

49. Calculus

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

50. Math

graph the data in each table Perimeters of Similar Rectangles x 1 2 3 4 5 P ? ? ? ? ? Graph P 40 30 20 20 0 1 2 3 4 5 6 7 8 9 X Area of Similar Rectangles X 1 2 3 4 5 A ? ? ? ? ? A 40 30 20 10 0 1 2 3 4 5 6 7 8 9 X 1st rectangle is one side x bottom 2x

51. 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.

52. 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.

53. 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.

54. 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.

55. 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.?

56. Calculus

1. Using midpoint method, estimate the area under the graph of y= sqrt x between x = 0 to x = 1, using 4 rectangles. 3. A soccer ball is kicked straight up into the air from the ground with an initial velocity of 200 ft/s. The velocity of the ball at any

57. Calculus

Approximate the area under the graph of f(x)and above the x-axis using 4 rectangles: f(x)=x(x) +2 using 4 rectangles at intervals 0,5

58. 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.

59. 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

60. Calculus

For the function f described by the following table, estimate ç40 0 f(x)dx using the following. Enter each answer as a sum to show your work. 5 left rectangles 5 right rectangles 5 midpoint rectangles x 0 4 8 12 16 20 24 28 32 36 40 y 7 -46 -50 45 -7

61. calculus

consider the function f(x)= x^2/4 -6 Rn is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x)= x^2/4 -6 on the interval [0,4] and write your answer as a function of n without any

62. Math

estimate the area of the rectangles 5 7/9 by 3 1/5 7 7/8 by 1 1/3 Estimate each product. 3/8 X 4

63. Calculus

For each of the surfaces, calculate its exact area. b) The area bounded by the curves y = 4sqrt(x), y = 2x+2 and the x-axis. Use vertical rectangles. c) Same curves but use horizontal rectangles. Wouldn't using rectangles count as a approximate Riemann

64. Calculus

I am in a car and travel for 12 minutes. Below are the speeds in mph, recorded every two minutes. Use trapezoids, right-bound rectangles, and midpoint rectangles to estimate the distance I traveled. Min 0 2 4 6 8 10 12 Speed 20 22 35 46 50 50 20

65. maths

If E the universal set contains all rectangles of length x and breadth y, where x and y are integers and x>y. A contains rectangles with area of 24m2 B contains rectangles , each with length multiples of 3 and area of 24m2. Find n(A), n(B), and n(A ^B)

66. Math

An area is bounded by the x-axis and the parabola y = 16 - x^2. Use four rectangles of equal width and the midpoint approximation method to estimate the bounded area. Could you please show me how to work out this problem? Thanks!

67. Math

Three rectangles have exactly the same area. The dimensions of each rectangle (as length and width) are a and b; a – 3 and b + 2; and a + 3 and b – 1. Find the area of the rectangles.

68. math

Three rectangles have exactly the same area. The dimensions of each rectangle (as length and width) are a and b; a – 3 and b + 2; and a + 3 and b – 1. Find the area of the rectangles.

69. math

Three rectangles have exactly the same area. The dimensions of each rectangle (as length and width) are a and b; a – 3 and b + 2; and a + 3 and b – 1. Find the area of the rectangles.

70. math

Three rectangles have exactly the same area. The dimensions of each rectangle (as length and width) are a and b; a – 3 and b + 2; and a + 3 and b – 1. Find the area of the rectangles.

71. Calc.

a)If f(x)= x/(x+2), 1 less than or equal to x less than or equal to 4, find the left and right sums for n= 10, 30, and 50. b)Illustrate by graphing the rectangles in part a. c)Show that the exact area under f lies between 1.603 and 1.624. So this is all I

72. 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

73. math

The graph below shows the rate of natural gas usage (in therms per day) in one household for a 30 - day period. Estimate the total number of therms used during this period. Use left endpoints and rectangles with widths of 3 days. View graph at: postimg.o r

74. math

The graph below shows the rate of natural gas usage (in therms per day) in one household for a 30 - day period. Estimate the total number of therms used during this period. Use left endpoints and rectangles with widths of 3 days. View graph at: postimg.o

75. Math

Use three rectangles of equal width and the left endpoint approximation method to estimate the area enclosed by the x-axis, the lines x = 1 and x = 4, and the curve y = x^(1/2). Could you please help me understand how to do this? Thanks in advance!

76. programming

Write a program that asks for the length and width of two rectangles. The program should tell the user which rectangles has the greater area, or if the area are the same.

77. math

consider pairs of rectangles where the dimensions are doubled (rectangles with all sides X2 and all sides X4, or those with all sides X3 and all sides X6. what happens to the perimeter when you double each of the dimensions of a rectangle?, Then what

78. geometry

ee wants to cut this piece of canvas into two rectangles that are 3 x 2 and 3 x 5. He wants the sum of the areas of the two small rectangles to be the same as the area of the large. Can he do this? explain.

79. 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

80. Math

Two rectangles have an area of 81 square inches. Name two possible perimeters for the rectangles

81. Math

Two rectangles have an area of 36 Square inches name to possible parameters for the rectangles

82. Math

Two rectangles have an area of 81 square inches.Name two possible perimeters for the rectangles.

83. 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

84. 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

85. 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

86. math

Given f (x) = √(7 + x) + 4 . Use the rectangle method to approximate the area on the interval [0, 8] using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

87. math question 2- very urgent !

Given f (x) = √(7 + x) + 4 . Use the rectangle method to approximate the area on the interval [0, 8] using 4 rectangles. (Assume the graph goes through the midpoint of each rectangle.)

88. Math

I need help checking my answers. Which of the following is a true statement? A. It is possible for two rectangles to have the same area, but only if they have the same perimeter. B. It is possible for two rectangles to have the same area without having the

89. 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.

90. calculus

Approximate the area in the first quadrant between the x-axis, the y-axis, the line x = 3, and the function f(x) = x^2+1 For this approximation, you must use 6 rectangles of equal width, and this must be a lower sum. In your answer, you must include

91. math

Recognize that rectangles that have the same area can have different perimenters. Do rectangles with the same area necessarily have the same perimeter?Give an example to support your answer. How I would handle this is to first look at the formula.

92. 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.

93. 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.

94. Calculus

Estimate ç 6 0 6−x^2 dx using 3 right rectangles

95. calculus

given the graph of f(x) = x sinx, 0

96. calculus

Time (months) 0 1 2 3 4 5 Rate pollutants are escaping 2 5 7 16 24 34 Use this data to sketch a graph Draw rectangles on this graph (as in Figure 5.2) to help you underestimate the total pollutants that escaped during the first month. What underestimate

97. Calculus

Estimate ç 6 0 6−x^2 dx using 3 left rectangles.

98. 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?

99. Calculus

Estimate ç4 1 ln(x)−3dx using 6 midpoint rectangles

100. Math

Which of the following is a true statement? it is possible for two rectangles to have the same area, but only if they have the same perimeter. It is possible for two rectangles to have the same area without having the same perimeter. *** It is possible for