Use the result obtained in Problem 20 to find the area enclosedby f1x2 = x2 + 3x + 5, the x-axis, and the lines x = - 4 andx = 4.

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

A:

Q: 2) a) Consider a rectangle which is on the region bounded by the lines y=x+4, y=-x+4 and X – axis.…

A:

Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

A:

Q: Find the area bounded by the parabola x = y² + 2 and the line y = x – 8. 11 -2 3.

A: We have to find out the area bounded by the two curves

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

A:

Q: Find the area within the curves y= 25- x', 256x=3y², and 16y = 9x².

A: as per the guideline i can solve only first question

Q: 2) a) Consider a rectangle which is on the region bounded by the lines y = x+4, y =-x+4 and X -…

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

Q: 2. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x

A: Given problem:- Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

A:

Q: y=x3 2

A:

Q: Find the area of the curve y = x° – 2x – 3 between x =- 1 to x = 3.

A:

Q: (a) curves y=, y =-x², lines x=1, x=2

A:

Q: Find the area between y=x+2 and y=3x2+x for 1≤x≤2.

A:

Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

Q: Use the result obtained in Problem 20 to find the areaenclosed by f(x) = - x2 + x + 4, the x-axis,…

A: Given, the area is enclosed by f(x)=-x2+x+4 the x-axis and the lines x=-1 and x=1

Q: Find the area in the first quadrant bounded by the cubic 3x - x^3 and the lines x = 0 and y = 2.

A:

Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

A:

Q: find the area of the loop of the curve y^2 = x^3 (1-x)^6

A:

Q: Find the area of the region bounded by the hyperbola 9x² – 4y2 = 36 and the line x = 3.

A: Given that the  Hyperbola 9x^2-4y^2=36 Line x=3  To find the area of the region

Q: Find the area between the curve y= 2x +10 and line y4x + 16 64 64/5 64/3 O 64/7

A:

Q: Find the area of the region bounded by the parabola y = 2x, the tangent line to this parabola at (4,…

A: Definition used -              Equation of a tangent line -                  (y-y1)=f'(x1)(x-x1)…

Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

Q: Find the area of the region bounded by the hyperbola 9x2 - 4y2 = 36  and the line x = 3

A: Let the graph of the area of the region bounded by the hyperbola 9x2-4y2=36  and the line x = 3 is,

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

A:

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 of the region bounded by the graphs of the given equations. y =– x- 3' y = 0, x = 4, x…

A:

Q: Find the area between y =x+2 y = -2x+4 y = (2-x)/2

A: equation  at x=0 at y=0 y=x+2 y=2 x=-2 y=-2x+4 y=4 x=2 y=(2-x)/2 y=1 x=2 here we need to…

Q: Find Mx and My for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16,…

A: Given the first-quadrant area bounded by y2=4x, the x-axis and x = 4.

Q: What is the area of ​​the region between the parabola y=x^2-1 and the line y+2x=2?

A: The solution is given below in the next step:

Q: Find the area of the region bounded by the graphs of the given equations.   y = 3x + 18 , y = x 2.

A:

Q: Find the area between the curves: y2=x x2– 2x + 3y = 2

A: we have to find the area between the curves :

Q: If A is the area bounded by y = 4 − x^2 and the x-axis, find the horizontal line y = b (not…

A:

Q: Find in two ways the area bounded by the parabola y=x^2, the y-axis, and the lines y=1, y=4

A:

Q: Find the area between the curves.  y = |9x|  ,  y= x^2 - 10

A: First we graph the functions. They cut at (-10,90) and (10,90)Area from x=-10 to x=0 is equal to the…

Q: A\ Calculate the area of the segment cut from the curve y =2x2 by the line y = x+1 with x2 0.

A:

Q: Now, the area is given by dy. L(4 - 4y2) - (4y2 - 4)] dy =

A:

Q: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: What is the area to the right of z = 2.25?

A: Introduction: The random variable, Z usually denotes the standard normal variable, which has…

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y= x³ + 3x².

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

A:

Q: Find the area bounded by y=2x-x^2 , the x – axis, and the lines x =0 and x= 4.

A:

Q: Find the area bounded by the curve 4y^2 +16x -15=0 and the line x=-1.

A:

Q: he area bounded by y = |x| and the lines x = 1 and x = 1.7 is

A:

Q: Given the integral 6x2 + 10x + 9 dx -2

A:

Q: Find the area bounded by the x-axis, the curve y = x² and the vertical line x = 3. and Find the area…

A:

Q: Find the area of the region bounded by y=−4x+ 9, y= 2x^2−11x+ 9, and the lines x=−2 and x= 5.

A: The area of the region bounded by two curves y=fx and y=gx, where a≤x≤b, can be calculated by using…

Q: Determine the area that is bounded by the graphs of the following equations y = 4x, y = x3

A: Our Aim is to determine the area bounded by the graphs of the equations:-y=4x and y=x3

Q: | æ(5")dæ

A: topic - integration by parts

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A: