NOTE: DRAW THE FIGURE Determine the area of the region bounded by: 2) y = zVF+1, y=ez=-3 and the y-axis

Q: Consider the region bounded by the graphs of y = x2 and y = b, where b > 0. Sketch a graph of the…

A: The given graphs are y=x2 and y=b, where b>0 we have to sketch the region bounded by the graphs…

Q: Evaluate , ydV where E is the hemispherical solid region x? + y? + z? 0.

A: x^2+y^2+z^2 <=64, y>=0

Q: b) Find the volume of the region in the first octant bounded by the planes shown in the figure.…

A: Given: The equation of the plane is  y + z = 2 The equation of the cylinder is  x = 4 − y2 he volume…

Q: Consider the following shaded region. y = ax - x? y=bx Find the area S of this region if a = 6, b =…

A: y = ax-x2   ,   y =bxa=6  ,  b=1y = 6x-x2  , y = x

Q: 41. S = {(x, y) |x> 1, 0< y sey 41-46 Sketch the region and find its area (if the area is finite).

A: The given region is: S= (x, y)| x≥1,  0≤y≤e-x

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 2- Find the shaded area of the regions in the figure below 21 y = sec2t y = 1-1 TT 4

A:

Q: Compute I| (x – y) dA, D is the region in the second quadrant enclosed by x2 + y2 = 5 and x2 + y? =…

A:

Q: 3. Evaluate ff V²+ y²dA, where R is the region bounded by the circles with center (0,0) and radius 3…

A: Since you have asked multiple questions, we will solve the first question for you. If you want to…

Q: 3) Find the area of the region enclosed by the cardioid r=1-cos®

A: See the details solution in below

Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3. 2 A. 2 В. 3.4 С. 1.5 D. 1

A:

Q: 2. Find the area of the region enclosed by the equations below. x - y? = 0 and x + 2y? = 3

A: Please see the explanation below

Q: Consider the following shaded region. YA y=ax - x? y=bx Find the area S of this region if a = 4, b =…

A:

Q: Determine the area of the given region.

A: We have to find the area of bounded region shown in the given figure. The y limits are y = 0 to y =…

Q: Given the area of the region enclosed by y = x and y = -2x* , identify the "a" and "b".

A: Given: The area of region enclosed by y = x2 and y = -2 x4    To Find: a and b

Q: Evaluate xy dA, where S is the region shown in Figure 16. (2, 4) 2 Figure 16

A: Let us consider the double integral ∫S∫f(x,y)dxdy, ∫s∫f(x,y)dydx,  To solve the double integral…

Q: Give area of the region enclosed by y and y = 0 from x = 1 to x = 3 2 А. 2 В. 3.4 С. 1.5 D. 1

A:

Q: Find the area of the region bounded by the graphs of the equations

A: Given: y=x1+ex2, y=0,  x=2

Q: What is the area of the region I from the following sketch of graphs? 11

A: Given problem:-

Q: Find the area of the region bounded by the graphs of the equations given as follows :-   find the…

A:

Q: Sketch the region given by the set. {(x,y) | xy &gt; 0}

A: Given: To Sketch the region given by the set{(x,y)|xy&gt;0}

Q: Consider the region R enclosed by y =-x2 +x and y = ax? for a > 0. Find the value of a such that the…

A:

Q: 1. SSR ry? dA, where R is the region in quadrants 1 and 2 bounded by the semicircle of radius 2…

A:

Q: In the given question ,sketch the region bounded by the graphs ofthe equations and find the area of…

A: Follow the steps to draw the graph of the function y=x2-1 and y=-x+2. Make a three-column table…

Q: Find the area of the region enclosed by the graphs of 1 VI- 472' Y =0, x = 0, and x = 4' 1 — 4г?

A:

Q: 1. SSR ry? dA, where R is the region in quadrants 1 and 2 bounded by the semicircle of radius 2…

A:

Q: Sketch and find the area of the region lies inside the cardioid (r = 1+ cose) and outside the circle…

A:

Q: 15. у з ,y = 1+x? Y = |x|

A: Accoding to Given Question no 15 only

Q: Sketch the region D = {(r, )|1<r< 2, -<0S} , and evaluate z dA.

A:

Q: Sketch the following region enclosed by the following curves and find its area. y = x, y = a, x = b,…

A:

Q: In the given equation , sketch the region bounded by the graphs ofthe equations and find the area of…

A:

Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤pi/4  , 0 ≤ r ≤ 4

A:

Q: 22 Evaluate f, e-(x²+y?) dx dy, where R is the region x? + y? < a?.

A:

Q: Determine the area of the region enclosed by y =r and y = I. O 9 O 46/3 2/3 O 1/3 O 142/9 O 142/3…

A:

Q: 3. Find the area of the region enclosed by the given curves. y = Vx + 2, 1 y = x = 0, x = 2 %3| x…

A: Recall: If f(x) and g(x) are two continuous function and f(x) ≥g(x) on the closed interval [a,b] ,…

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 8.…

A:

Q: Sketch the region given by the set. {(x, y) | x = −1}

A: In the question it is asked to draw the region given by the set {(x, y) | x = −1}.

Q: If the region bounder by the two curves is revolved about x = 4, what is the volume of the resulting…

A:

Q: 3. Consider the region, R, bounded by the graphs of y = x and y = √√x. a) Make a sketch of R.

A:

Q: A sketch of the region enclosed by y = x and y = f Area of the region = fot 4.25 2²+1 follows.

A: Given: y=x and y=4.25xx2+1 First find the intersection point Thus, x= 4.25x1+x2 ⇒1+x2= 4.25⇒x=…

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

A:

Q: Consider the following shaded region. yA y=ax-x y=bx Find the area S of this region if a = 4, b = 3.…

A:

Q: 2. Determine k if the enclosed region has area y. - y = k 5급 units?.

A:

Q: Let R be the region given by 0 SzS a? + y? , a² + y? <3. Evaluate (x + 2)dV.

A: The given integral is ∭Rx+2dV where R is the region given by 0≤z≤x2+y2, x2+y2≤3. We know that the…

Q: find the.area.of. he.region..R. bounded. by. the graph.s. Of. the gieN.eduations. X-1,y=O,. X=2, and…

A:

Q: A volume is described as follows: 1. the base is the region bounded by æ = - y? + 10y + 95 and æ =…

A:

Q: Give the area of the region enclosed by y = x2 , x = 2, and x – axis. А. 4 В. 8 C. 8/3 D. 4/3

A:

Q: Given the region bounded by the graphs below, find the appropriate limits to find the area y=3x+3…

A: Given that  y=3x+3 and y=x^2+2x+1 To find the area

Q: Sketch and find the area of the region lies inside the cardioid (r = 1 + coso) and outside the…

A:

Q: consider the region in figure A. its area, using ∫ab[f(x) − g(c)]dx, is__?

A: