VI. Find the area bounded by the ff. curves and ines: 1. the lbop of y? = x *(3 - x) 2. 4y = x 2- 2hx, y 0, x 1, x 4. 3. y? + 4x-8 = 0, Y = 2x 4. an arch of y = sin( })

Q: if x~unif. (0,2),find the U.b. of p(lx - mul>= 2)

A: Given X~Unif(0,2) Result: if X~unif(a,b) then  Mean=(a+b)/2 Variance=(b-a)2/12

Q: )  to cut the circle x^2+y^2=a^2 at A and B then find the valu

A:

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

A:

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A: The given curves are y=sec2xtan2x, x=0, x=0.5, y=0 To find the area of the region bounded by the…

Q: find the Curve A the region enclosed by ye Sin (ITx/2) and the the area line

A:

Q: 5 for 0<x < 7. %3D Calculate the area of the segment between the curves y = sin x and y =

A: To find the area between the curve

Q: 3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval…

A:

Q: Find the areg between Ye CosX an d y--SinX trom o tr .

A:

Q: Find the area under the curve y = 3xe for æ > 3. area =

A: Given:The given curve is y=3xe-x and x≥3To find:we have to find the area under the curve

Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: Find the area under the curve

A: To find area under the curve defined by the points (20,85), (15,83), (9,80) &amp; (7,78)We can use…

Q: Evaluate ∫∫R sin(x^2 + y^2) dxdy where R is the region inside the circle x^2 + y^2 = π.

A: Given the function f(x,y)=sinx2+y2 Note that the given region R is the circle x2+y2=π with a center…

Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

A:

Q: (c) curve y = 5-x", line y=x+3 (d) y= sinx, y=cosx, x= 7 /4, x=7/2

A: Double integers

Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

Q: g)Sinhy=tanx ind

A:

Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.