Determine the length of x = 3 + (y – 2)² , 4

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: The area bounded by the curve y -V4 – x² and the x-axis over the interval -2, 2] is Select one: a. 4…

A: Realize that the given curve is the bottom half of the circle x2 + y2 = 4 i.e. bottom half of the…

Q: 2x2+4x+4 Estimate the area of the curve y = 2 from x = 1 to x = 3 by using 5 rectangles and right…

A: We find out the area of given curve usin Rieman sum where dalX=(b-a)/n where n is the number of…

Q: find the area.  x^2=8y and x=y+1

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Q: Find the shaded area enclosed by y = 8x² and y = x* – 8x² within –4<x<4. y- &r y-x* - 8r

A: Consider the region bounded by the curves y=8x2 and y=x4-8x2 within the interval -4≤x≤4. Observe…

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: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: The area of the region bounded by y = v9– x² , the x-axis and the line first quadrant is: O 9(n+2)/8…

A: Given: To explain the correct option of the given statement as follos,

Q: The area bounded by the curve y = 3/x and the 9 above the x – axis lines x = 4 and x = is _square…

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Q: Find the area of the region(s) enclosed by the curve y= |2x-6|, the x-axis, and the lines x =0 and x…

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Q: Find the area of the shaded region.

A: Given the polar curve r=θ

Q: The region enclosed by x = y1/3, x = 0, y = 27

A: Find the volume

Q: 3 Find the area bounded by the curve y= -x3x2+3x and the line y=x. 16 O 16 square units O 8 square…

A: Please follow the next step.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - r, and the line perpendicular…

A: Triangle bounded by the y-axis, the line f(x)=5-(x/7) , and the line perpendicular to f(x) which…

Q: 20. f(x) = |x + 3|; horizontal stretch by a factor of 4 %3D

A: Dear learner , As per our guidelines , g can solve only one question at once. further can be…

Q: Find the area of the shaded region. y = X - 3 (16,1) 16 (e,-3)

A: We first find where the curve cuts the x-axis

Q: Find the area of the shaded region. yA y = -x2 + 4x y = x2 - 2x

A: We have the given curves as y=-x2+4x        ⋯⋯1y=x2-2x            ⋯⋯2 On solving the equation (1)…

Q: Find the area of the shaded region. y = x2 - 4x + 3 yx-1 3

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Q: The maximum value of the function f(x,y) = x2 +2y? - x in the region x? + y? < 1

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Q: The area z =-2.18 and z 1.42 is

A: We have to fine The area z =-2.18 and z 1.42 is

Q: Find the total areas of the shaded regions

A: according to given figure areaA of shaded region is given by A=∫01x13-x12dx…

Q: Find the area of the shaded region. f(x) = -x3 + x2 + 16x %3D 30+ 20+ (4, 16) 10+ -4 -2 4 6. х (-3,…

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Q: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and…

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Q: find the area of the portion of the cylinder x²+z²=16 lying inside the cylinder x²+y²=16

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Q: y = 2x and y = 2x^2 − 4 , find its area.

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Q: Find the area enclosed by the line x=y and the parabola 4x+y² =12

A: Given:         The line x = y  and the parabola 4x + y2 = 12   To find:           The area…

Q: The area bounded by the curve y = 2x – x² and the %3D ordinates x = 0; a = 4 is: 14 sq. units - 3.…

A: area between curves

Q: Sketch the region 3 <r <5 where 2π/3 <0<4T/3

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Q: find area, y=2x , y=3-x2  (0,1)

A: Area is a 2-dimensional quantity which is the measure of amount of space covered by any shape in a…

Q: Find the length of y=e2x from x=0 to x=1.

A: Given that, y=e2x from x=0 to x=1.   The arc length is given by the formula, L=∫ab1+dydx2dx. Here,…

Q: Find the area of the shaded region. y 3 x= y - 3 y = 1 x = ey - 4 -2 2 4 y = -1 -2 -3 2.

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Q: Find the area bounded by the curve y=-x³x² + 3x and the line y=x. 16 A 8 square units B 16 square…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x −…

A: Given: Th function is fx,y=2x2+3y2-4x-2 on the disk x2+y2≤16. Definition used: The Lagrange…

Q: The area bounded by the curve y 3x and the lines x = 4 and x = 36 above the x – axis - is O 3888.00…

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Q: Sketch the region A= {(x, y)|(y2-log, x)U(x + y² < 4)} .

A: Here,we have given two regions or two functions now we have to sketch these two regions.

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

A: The given question can be solved as shown in step 2.

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

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 extreme values of f (x, y) = x² + y² + 4x – 4y inequality x² + y? < 9. on the region…

A: We are given that f(x, y) = x2 + y2 +4x-4y  We have to find extreme values of f(x, y)  On region…

Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11.

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: The area bounded by the curve y = 3/x and the lines x 3 and x = 8 above the x axis is _square units…

A: All options are incorrect.

Q: 3. Find the area of the loop of the curve y? = 4x'(1-x)

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Q: Find the area of the shaded region. 12) f(x) = -x3 - x² + 20x, g(x) = 0 %3D see pape 50- 40- 30-…

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Q: 3. y = x2 + 5x and y = 3 – x -

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Q: The area under the curve y = 8x bounded by the lines a = 4 and a = 9 above the a – axis is_ 648.00…

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Q: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic…

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Q: Find the area of the shaded region. У 3 x = y - 2 y = 1 x = ey -3 -1 y = -1 -3 3. 2. 2. 2.

A: To find the area of the shaded region which is bounded by the below functions.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 3 – z, and the line perpendicular…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.