2 Calculate shown in the figure below. 1 >0 -1 -2 0 ydxdy R over R that is bounded by curves 0.5 x=y² 1 x=y²/2+1 1.5 X 2 2.5 3 x = y² and x = y² +1 I as

Q: 3. Find the approximate area of the regions bounded by the curves y = the points of intersection x =…

A: The bounded region is y=xx2+1, y=x4-x and the point of intersection is x=0, x≈1.18

Q: Which of the following regions have the same area? I. The region enclosed by the curve y = |x2 − 1|,…

A: Part (1):- Given curves are  y=x2-1,  the lines x =0 and x=2 and the x-axis. Area = ∫01 -x2-1dx +∫12…

Q: 2. Find the area of the plane figure bounded by the curves. Plot the graphs of the given functions,…

A:

Q: 4. Computer²ydA, where R is the region bounded by the circles z² + y² = 1 and 2² - 2x + y² = 0 and…

A: Solution :-

Q: Sketch the function y = 7x on the interval [0,5] and let R be the region bounded by y = 7x and the…

A: In this question we have to sketch the function as per the given statement.

Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

A:

Q: 5. Let 0 < a < b ≤ 2a. We will consider the curve ry = on [a, b]. We now sketch a tangent line at…

A:

Q: Show that the function y = x1/2, x > 0, is strictly concave

A:

Q: 1) Find the limited Zone of curves piven! area the remaining bet ween the 2. y = 9= x² and

A:

Q: 5. nts) Let F =, use Green's Theorem to evaluate F. dr where the curve C is C the curve shown in the…

A:

Q: 5. Consider the two curves y = x° - 3x + 20x + 88x² + 71x – 74 and y = 2a+ 50x – 22x + 42.x + 31. |…

A:

Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: Given y = 3x –- 2x +1, y =-x² + 2x +1 and a straight line y = 0.5x ; where x>0, 1. Sketch the curves…

A: Given y=3x3-2x2+1  , y=-x2+2x+1 and a straight line y=0.5x. We need to : 1) Sketch the curves and…

Q: Let f (x, y) = e(3x-4y). Find the equation for the tangent plane to the graph of f at the point (1,…

A:

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

A: To find the length of following curve  x = 6 - sqrt( y - 6) 3 ≤ y ≤ 6

Q: Sketch a possible region and find m so that the region above the line y = mx and below the parabola…

A: First, find the point of intersections of given two equations:…

Q: y= 20-X and the line x= 2a , lts asymptote. a. Find the area of between the cissoid

A: The area under the curve is A=∫abfx−gxdx where, f(x) is the upper curve, g(x) is the lower curve and…

Q: y = x² – 5 ve y = 3 – x² curves are given I. Scratch this restricted zone. ii. Find the area of this…

A: Sketch the required area:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5) 2=2y the…

A: The area of the smaller region( to the left of the parabola) bounded by  the x-axis, and the tangent…