Find the centroid of the region. NOTE: Enter the exact answers. (T, 9) (?, ?) %3D y = x7

Q: ydx + (2x +3y)dy = 0 %3D

A:

Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y=√x 4 X 6 X = 8 8 X

A: Topic - Area of shaded region We are given curves as y=x3andy=1xshaded area is from x=1 to x=8

Q: Find the area of the shaded region below. x= y? – 4y (-3, 3) x= 2y – y?

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Q: 1 2.5" y 3" 6 -Х

A: Given data:-

Q: Find the distance between the planes x + 3y – 2z = 3 and 2x - y - z = 4. %3D

A:

Q: The graph of the derivative f'(x) of f(x) is shown. Compute the total change of f(x) over the given…

A: Graph of f'(x) vs x is given. Here, f'(x)=∆f∆x Therefore, change in f(x) will be, ∆f=f'(x)·∆x It…

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

A:

Q: Find the area of the shaded region. 1(1, 1) 5 10 y=√x y = 15 20 X = 27 25 X

A: The region bounded by curves  and  The given graph

Q: Find the area of the shaded region. (3,7) y = 2x + 1 (1,3) 1 3 O 12.5 O 5 O 7.5 O 10

A:

Q: Find the area of the shaded region. y 3- x= y - 8 y = 1 x= e X -6 -4 -2 4 Hy = -1 -2 -3 2. 2.

A: To find area of a shaded region we always draw a strips parallel to either x axis or y axis…