Q.1) Find area of the bounded region 9 f(x)= x³ dhe x-axis & the vertical lines. os shown in bg. (11) F(x)=x² (0,0) by the 1/6 S

Q: Find the area of the rogion baunded by the Curue f(x)=x²-4x +3 and the tve Qxis

A: The curve equation is fx=x2-4x+3 To find area bounded by curve and positive x axis

Q: (0.0) (3.6) 1) Estimate the area (6.0) (8,0) [ f(x)dx 0

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Q: 3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3 + 3x? - 1

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Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: 5. Determine the point intersection between curve y= x(3-x)and the line y= x. Hence, find the area…

A: To find the intersection points of the given equations y = x(3-x)  and y = x

Q: (4)using the relation F= Vn show that J1(x) cos x %3D

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Q: 4. Sketch the graphs of x = 6y-y² and x = y²-8. Shade the region bounded between the two curves.…

A: Dear student, as per our guidelines we can solve only first question. Kindly submit remaining…

Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: Find the area of the region bounded by the graph of f(x) = a√bx − x² - and g(x) using Simpson's Rule…

A: Given: fx=abx-x2 , gx=cx a=2, b=7 , c=3 , n=6 To find: Area of the region.

Q: which is enclosed by the functions f(x) = 2x and g(x) = x³ – 2x. Find the area of this region,…

A: fx =2x , g(x) =x3-2x Here use formula of area of bounded region =∫ab|fx-gx |dx find  a and b here…

Q: 6. The graph of f (x) = 8 – x' and the line I, which is tangent to f at x=1, is shown in the figure…

A: As per company guidelines we are supposed to answer only three subparts of a question. for solution…

Q: 5 4 3 2 1 1 4 5 3. 2.

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Q: Consider the functions y₁(x) = x - 2 and y2(x) = (x - 2)². (A) Find analytically the intersection…

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Q: Find the area of the figure surrounded by the two curves given. y = 2x² (1) 5x + 4, y = 3x − 2 ) y =…

A: The region is bounded by the given curves,1) 2) .We have to find the area of the region.

Q: (3) Find the area of the region bounded by f(x) = x² + 2, the x and the lines x = 1, and x = 3. -…

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Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: 5. Estimate the area under the graph of f(x) = 1 + 2x² from z = 1 to z = 3 using n = 4 rectangles…

A: a) The left endpoint approximation use the left end point of a sub interval…