y=x² + 2x + 1 and y= 8x +8 1.) The appropriate integrand to find the area of the plane region it! 2 y=x²+2x+1 and y=sx +B The appropriate limits to find the area are.

Q: Find the distance between (1, 1/4, 1/2) and (1.5, 1/2, n).

A:

Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: Q4) Find the shared area between the two cardlold r=1+sin@ and r%3D1-sin0

A:

Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: 1 Set up and evaluate , 6x dA, where R is the rectangular region with corners (-2, 0), (3,0), (-2,…

A:

Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the…

A:

Q: Find the area of the surface S defined by z = xy and x² + y² ≤ 3. (Use syntax like 2*pi/3)

A: (.)  Given ,  Area of the surface S defined by z=xy and x2+y2≤3 .   If  z=f(x,y) ∀ (x,y)∈R  the…

Q: Determine the area bounded by: y2-12y-8x+28=0; and x2-4x+4y-20=0

A: The given equations: This can be rewritten as, To find the area bounded by the above equations:…

Q: Find the area of ​​the plane x + y + z = 6 in cylinder X² + y² = 4

A: According to the given information, it is required to find the area of the plane in the cylinder.

Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: Find the area of the shaded region given below. y = √√√=x+4 y = √√x + 4 neg y = x² + 4 x = y² -6y +8…

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Q: Find the area of the region included between the parabolas y² = 4(p+1)(x + p + 1), and y² = 4(p² +…

A: As per the question we are given two parabolas defined as : P1  :  y2 = 4(p+1)(x+p+1) P2  :  y2 =…

Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

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Q: Find the area of the bounded region

A: Given parabola is y=x2. Given point is 2,4 Differentiating the given curve with respect to x, we get…

Q: Find the area of the shaded region under the quarter circle of radius 2 below. (hint: divide the…

A: Solved below

Q: Find the area of the region bounded by the hyperbola 25x2 - 4y2 = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3 Please see…

Q: Find the area bounded by y = + 1, y = V1– 2x, and y = 0. 4 y=: sqrt(1 - 2x) 3 2 -3 -2 -1 2 3 6. y=:…

A: This question is based on integration .we found the area surrounded by the curve using integration.…

Q: 5) Using transformation and integration, find the area of the region that is enclosed by the ellipse…

A:

Q: Find the area of the shaded area using the trapezoidal rule with a step size of 2 and 1 and the…

A: (a) Step size 1 I=∫-22∫00.5ex+e-xdydx =∫-22y00.5ex+e-xdx =∫-22ex+e-x2 dx Therefore h=1…

Q: 2. Let ~v = h3,-2,1i and w = h-1,4,2i. (a) Find cos(0) where 0 is the angle betwen ~v and w.

A: Given,   v→=3,-2,1 and w→=-1,4,2