Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 1), (3, 6) A =

Q: O Find the area • y- 1x, y- e* %3D

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Q: Use decomposition to find the area of the figure.

A: The given figure is:

Q: calculate the area of the given region. The triangle with vertices (0, 0), (1, 0), and (1, 1)

A: If we have given vertices of a triangle x1,y1,x2,y2 and x3,y3 Then, Area of…

Q: Find the area of the region. y = 16 – x4 15 10 -3 -2 -1 1 2 3

A: Given:- y = 16-x4  To find:- Area of region bounded by curve and x axis

Q: Find the area A of the triangle with vertices at the points with coordinates (5, 3, -5), (7, 5, 6)…

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Q: 1. Draw a triangle with vertices A(0, 1), B(2, 0), C(3, 4) and use integration to find its area.

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Q: x² + a? = 1

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Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=2 ,square…

A: Introduction: The fundamental theorem of calculus is a theorem that ties the concepts of…

Q: Find the area of the region. y = 2x + 5,    y = 15 − x2,    x = −1,    x = 2

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Q: Find the area bounded by the arc square root x + square root y = 7, the x axis, and the line joining…

A: Given curves are                                                   1x+y=7, y=0, points (16, 9) &…

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0), (6,1), (1,5)

A: Consider the coordinates are, x1,y1=(0,0)x2,y2=(6,1)x3,y3=(1,5) Then, the area of the triangle given…

Q: Use integration to find the area of the figure having the given vertices. (0, 0), (1, 4), (3, −2),…

A: Consider the points and plot the graph of the function.

Q: Find the area enclosed by the curve r=4sin²Bcosß

A: The given polar curve is: r=4sin2β cos β

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 1), (3, 8) X A…

A: First of all, mention the points on the x-y plane and join the three points to form the triangle.

Q: Find the area of the cardioid r = 2 + 2sine, 0 < 0 < 2n. (show all necessary details)

A: See the details solution below

Q: Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1). Area…

A: Vertices of the triangle is (0,5) , (2,-2) and (5,1)

Q: Find the area inside the inner loop of r = +3 10sinθ

A: Concept: The area inside the loop is given by the formula A=12∫αβr2dθ Where r represents the loop…

Q: Find the the vecarsare area of AAB C where A(-いて) B(2,1,-1), c(!,-,2)

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Q: where the region D

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 4), (4, –5), (5, 3) A =

A: Solution of the problem as follows

Q: it possible to get the area = 3x and y = x³, usi a. vertical strips b. horizontal strips

A: We have to find the area of the given function according to the given information

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

A: Given: y=5-x2 and the x-axis. To find the area of the region bounded by the given curve using the…

Q: B) Find the area bounded by y = 2x²+10, y = 4x +16, x = -3 and x = 6.

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Q: Find the area of the region. 1 y =- x2 - 2x + 5

A: Given data: The given function is y=1/(x2-2x+5). The given limits are [a, b]=[1, 3]. The given…

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

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Q: The points A(3, 0, 1), B(2, 0, 2) and C(3, 1, k) form a triang area Determine the value(s) of k for…

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Q: Find the area of the triangle that has its vertices at the points:…

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Q: 2. Fmd the area of the loop of the given cierve y' = (1-x²)ª

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Q: Find by integration the area of the triangle having vertices at (3, 4), (2, 0), and (0, 1).

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Q: (14, 2) (3714, 2) y = csc2x 4 4

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Q: Find the area of the white space around the triangle.

A: Given problem figure

Q: Find the area of : y: 4/x, y-4/x2, x=6

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Q: y = 2 16-2

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Q: Find the area between z%3D0 and z= 1

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Q: find the area of the repian inside the Circle =6 and above the line r=3csco.

A: Put both equation equal and find points where they meet

Q: - the region 1, x = 0, y = %3D

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Q: What is the area of z=3.24?

A: We have to find area of Z=3.24 by Z table.

Q: Find the area of the shaded region. (9,3) x = y2 (0,0) (9,-3)

A: Using horizonal strip Established double integral

Q: find area to the left of z=2.4

A: We have to find given probability.

Q: Find the area of the shaded region. O A. 7.5 B. 12.5 8- ОС. 5 O D. 10 (3,7) 6- y = 2x + 1 4- (1,3)…

A: answer = 10   explanation is given in below step

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

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Q: Find the total area of the shaded regions. 10 (-2,8 8- (2,8) jy%3D2X' ty=2x2 6- 2- y3x 2x -4 -2 2.…

A: Here we need to find the area bounded by the curves y=2x2 and y=x4-2x2.

Q: find the area y=x y=x^2-2

A:

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (4, 1), (1, 7) 4%3D

A: The given vertices are (0,0), (4,1) and (1,7). We have to find the area A of the triangle with the…

Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

Q: 35. Use integration to find the area of the triangle whose vertices are (0, 0), (1, 3) and (1, 5).

A: To find the area of triangle using integration method

Q: Use integration to find the area of the figure having the given vertices .         (0, 0), (6, 0),…

A: Use integration to find the area of the figure having the given vertices .         (0, 0), (6, 0),…

Q: Find the area of the shaded region. y = x3 - 4x (3,15) C0,0) 3 33 O A.

A: The objective is to find the area of shaded region