x Length x Length 0   0 50 36 10 24 60 33 20 27 70 32 30 27 80   0 40 39     Use 8 rectangles with bases of 10 feet and lengths measured at the left-hand endpoints to approximate the area of the algae growth. _______ sq ft

Q: In Exercises 17–20, find the area of the shaded region in Figures 16-19. 17. y y = x³ – 2x2 + 10 + 2…

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Q: The area bounded by the curve y = x*, x- axis and the lines x=1 and x=2 is_ O A. 21 5 О в. 31 5 ос.…

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Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

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Q: What is the area of the region in the first quadrant bounded on the left by the graph of x = E and…

A: We have to find the area between the two given curves.

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: Determine the area to the left of g (y) = 3 – y² and to the right of x = -1.

A: The obtained bounded region is:

Q: Consider the figures below. (1) (2) 4. y 1 2 3. 4 Use the rectangles in each graph to approximate…

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Q: You wish to maximize the volume of an open-topped rectangular box with a square base x cm by x cm…

A: Given data: Box given is open-topped rectangular box with square base x cm by x cm . Surface area…

Q: Find the area of the shaded region. (3,7) y = 2x + 1 (1,3) A 10 12.5 7.5

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Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

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Q: Calculate the area between the graph of f(x) = x² – 36 and the x-axis given x E [-4,6]. 200 а) - 3…

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Q: The lateral surface area of a right circular cone is 240 cm2. Find its volume if the diameter is…

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Q: Find the total area of the shaded region. Ay 10 Q 6- y = 5 y=x y= 2- 20 10

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Q: An artificial wetland has been created by building an earth dam across a small creek, between the…

A: I am attaching image so that you understand each and every step.

Q: Figure,, ty-axis 1cm 1cm R-2cin C5 X-axis

A: To determine: The area of the given figure. Concept: We shall split the given shape into triangle,…

Q: Find the area bounded by the given curves and lines. 1 y? (2–æ)³ 3

A: We have to find area

Q: 3. A hydrologist needs to estimate the volume of the water in the approximately circular well as…

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Q: Find the exact area under the curve between the indicated values of x. y = x(x - 2)3; between x = 0…

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Q: b. Find the total area of the shaded region in Figure Q6b. y=(x+2)° T x+2 -13 -1 -0.3 0.3 Figure Q6b

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Q: Find the z-values whose area in both tails combined is approximately 0.18.   a. -0.36, +0.36   b.…

A: We have to find z score...

Q: Find the change in volume dV if the sides of a cube change from 6 to 6.1. Do not round.

A: SOLUTION-

Q: (b) Compute the total area between the curve and the x-axis over the interval [-1,9]. y = f(t) 10…

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Q: Find the area of the sector shown in the given figure 300 (a)12.8 (b) 16.7 (c) 21.19 (d) 26.16 O (C)…

A: Solution:Givenr=8  and α=30°To find the area of the sectorFormula:Area of the sector=θ360πr2

Q: Find the total area of the shaded region. AY 24- 22 20- 18- 16 14- 12- y=12 10- 8- 6- 4- 48 468 10…

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Q: Find the area under a curve of y=x2+2 between the y-axis and the line x=4.     Выберите один…

A: Draw the graph of given equation . Find intersection points and then integrate

Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

A: To find the intersection points, substitute y with 2 in x2=4y and solve for x. To find the volume,…

Q: /2 MacBook Air 2+T O.2 +乙0 x saD- = A X-90 శం = A 2. 2. 1- Find the area of the shaded region.

A: We will find the area.

Q: he sides of a rectangle measure 5 ± 1 (cm) and 8 ± 2 (cm). How much is your area worth? Consider the…

A: Given:   length(l)    =  (8 ± 2)cm   breadth(b) =  (5 ± 1)cm    Area=length ×breadth    Area(A) = 8…

Q: a. How accurately should you measure the edge of a cube to bereasonably sure of calculating the…

A: Answer : a) Let x be the edge of cube. Then the surface area is S = 6x2 Error in surface area = dS =…

Q: The altitude of a certain right circular cone is the same as the radius of the base, and is measured…

A: Suppose h be the altitude and r is the radius of the base of a right circular cone. Here, given that…

Q: Find the total area of the shaded regions. Ay 25 f(x)=25-x 21

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Q: Determine the area to the left of g (y) = 3 – y and to the right of x = -1.

A: It is given that x=3-y2 so y=3-x therefore the graph is parabolic as shown in the figure and the…

Q: Find the total area of the region y%= -x-+ 9;0< x 5 05 6. O 10 6. 10 3 98 3

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Q: Which do you think will be larger, the average value of ƒ(x, y) = xy over the square 0&lt;= x…

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Q: В. Find the area enclosed by the given curve, the x-axis, and given lines. x²+10, x=1 and x 3 3 4. y…

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Q: Find the area enclosed by the curve x² + 8y + 16 = 0, the x-axis, the y-axis and the line x = 4. А.…

A: From the given curve the bounded region shown below:     Given curve:   x2+8y+16=0⇒y=-x2-168x=0 ;…

Q: Find the total area of the shaded region. Ay 22 20- 18- 16- 14- 12- =11 10- 6- y =X 44

A: This question is related to application of integration. Solve in step 2.

Q: Determine the area of the shaded region in square units. y 3.5 2.5 2 1.5 1 0.5 1 2 4 square units 3,…

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Q: Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the…

A: Solve by using the concept of maximizing any term

Q: A hydrologist needs to estimate the volume of the water in the approximately circular well as…

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Q: Find the area of the shaded region. H(x) -x3. x2 - 6x gix - 6x 25 20 0, 1) 154 10 15 30 12 O 343

A: Here from the given figure, it is observed that area of shaded part will be calculated using two…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4x²

A: Here , we have given a function  y=4-x^2 Which is an equation of parabola. Now we have to find out…

Q: The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square…

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Q: Find the total area of the region between the curve and the x-axis. y = (x + 1)3; 0 s xs 4 O A) 156…

A: The solution are next step

Q: 1 Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

A: Solution: Here is a helpful picture of the given curves/boundaries alongwith the desired area…

Q: . What is the area of the region in the first quadrant bounded on the left by the graph of x = yVy*…

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Q: Given the following equation: y = 2x − 3 , y = −3 , y = 3 What is the area bounded by the given…

A: required graph of the function is blue y=-3 green y=3 red y=2x-3 black x=0 (I have assumed that…

Q: Find the area of the shaded region. y = e" 4 -1 1 (e - 1)/4 4e 1/4 e/4

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.