64 2) Find the value of "k" on [0,4] such that the area of x*dx is half the area of x*dx: 3

Q: 18.Find the area bounded by the graph y = 30x – 3x² and the x – axis. %3D

A:

Q: Find the area under the curve y-cos X from 0 to O a 1. -1

A: Given,          The area under the curve y=cosx from 0 to π2.

Q: 14. Give an example of a point that belongs the area determined by 2x + 7y > 1,x 0.

A: Given

Q: 29) Find the area bounded by the curves y= In x, y = 2 In x and line x-e in the first quadrant.

A: I have given the answer in the next step. Hope you understand that

Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

A:

Q: 16. The definite integral which gives the area enclosed by the inner loop of r=1-2sin0 is: Hint:…

A:

Q: 7) Find the area of the region that lies inside both of r = 1 - cos 0 r = 1 - cos 0 the curves and

A:

Q: 5 Find the area under the curve y = - over the interval [4, 7]. (3x + 1)² Enter the exact answer.…

A: Area under the curve y = f(x) from a to b is : A = ∫abf(x)dx

Q: 9. Find the area of the region that lies inside both curves * r = 2 sin(0) and r = 2 cos(0) O -1 27…

A:

Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

A:

Q: Find the area of the region bounded above by y = 2 cos x and below by y = sec x, -pai/4<= x<=…

A: Given curves are:

Q: Find the area of the region bounded between the curves y = sin(x), y = cos(x) on the following 4 -27…

A:

Q: Find the area between the graphs x = sin (7y) and x = 1 – cos (7y) over the interval – < y< in the…

A: There are two parts of the shaded region. One is from 0 to pi/14 , other is from -pi/14 to 0.

Q: 1.Find the area bounded by y=sin(sin x), the X- and x = π axis and the lines x = 0

A: See this solution in below.

Q: 8. Find the area bounded by x² – 6x + y = 0, x² – 2x – y = 0, and the x – axis.

A:

Q: 2) Find the area of the region bounded by y = sin x and below by y = cos x from x =- to x = 5n/4.…

A:

Q: 4. Find the area between y sin(r) and y cos (2r) on

A:

Q: b. Find the area bounded by the curve y = Vxe-Vx and the x-axis from x = 0 to x = 4. (45 Ivarks)

A:

Q: Find the area bounded by the curve r = 2-cos 8.

A:

Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

A:

Q: 1 Find the area onclosed by the Curve r=4-3 sin 0.

A: Area

Q: Find the area between the curve y = tan x and the x-axis from x = -pai/4 to x = pai/3.

A: Given information

Q: 4. Find the area enclosed by: a. y= sin(x) and y= cos(x), x 0, x =" and the y-axis. 2

A:

Q: The area between the curves y =2 cos (x) + 4 and y = 2 – 2 cos (x) on the interval [0, 1] is: 27 3 3…

A:

Q: What is the area under the graph of y = 2 54-3-2-1 O O N/W 13 2 15 2 ਜਾਨ , -2+ -3 4 1 2 3 4 5 X on…

A: The region is bounded by the graph y=2-x on the interval -2,1

Q: What is the area bound between the curve y= \x/2 and the x-axis between x =-3 and 4/2 - 2/3 3 x = 2?…

A:

Q: 7 - over the interval [1, 5] Find the area under the curve y

A:

Q: 4. Sketch the curve of r2 = cos 20 and find the area that encloses it. Show your complete solution.

A: In polar coordinates,  r=x2+y2, θ=tan-1yx Converting the polar equation to cartesian coordinate…

Q: 4. Find the area of the region bounded by y = sin x and y = sin? x between a = 0 and a =

A: The region bounded by y=sinx and y=sin2x between x=0 and x=π2 Note:    Multiple questions are given,…

Q: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: 9) Find the area of the region common to the r= (1+ cos 0) and r = (1- cos 0 ).

A: For the given problem Diagram is given as follows:

Q: 2 3. Find the area of the unbounded region between the x-axis and y=- for x26. (x-4)

A:

Q: The area of the region between the graphs of y = x² and y = -x from x = -1 to x = 0 is O is Li (2² +…

A:

Q: 1. Calculate the area of the region inside the curve r = 2(1- cos 0) outside the curve r = -6 cos 0.…

A: We have to draw the graph and calculate  the area of the region inside the curve r = 2(1- cos θ)…

Q: 5 -over the interval [4, 7]. Find the area under the curve y = (3x + 1)? Enter the exact answer.…

A:

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

A:

Q: 6. Sketch the region bounded by the graphs of y = 2 – x², and : and find the area of this region by…

A: For the Cartesian curves y1=f1(x) and y2=f2(x) where y2&gt;y1 in the limits x=a to x=b, the area…

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

A:

Q: B. Find the area of the region bounded by the following: 18. common to r=3 cos 0 and *=1+cos 0

A: Given that r=3cosθ, r=1+cosθ

Q: 3. Find the area bounded by the curve y = - x² x = 1, and the x-axis. %3D x4 – 16

A: We first sketch the region using a graphing calculator.

Q: 1. Find the area of the region outside r = 2/3 + cos 0 and inside r = 5 cos 0.

A:

Q: 8) Find the area of the region that lies inside both of the curves r = 1 + cos 0 and r = 1 - cos 0…

A: We have to find the area between the given polar curves. The graph of these curves is as shown…

Q: 4. Find the area enclosed by: a. y= sin(x) and y = cos(x), x= 0, x = and the y-axis.

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

Q: 3. Find the area between the curve y = 2sinx cos x and the x-axis within the interval [0,2π].

A:

Q: 3. The area between the two loops of the limacon r = 1+2 sin e.

A:

Q: 2. Find the area bounded by y = 4x – x² and the x – axis. · Solve in two ways.

A: Solution:Giveny=4x-x2   and x-axisTo find the area of the bounded region.Formula:Area=∫abydx

Q: 2 1. Use Simpson's rule to evaluate | dx , by taking n=4 o V1 + x* 2.Find the Area, enclosed by the…

A:

Q: Calculate the area of the region bounded by the graph of f(8) = cose sine and the 0 - axis %3!…

A: The given function is f(θ)=cosθsinθ. Simplify the function. f(θ)=2sinθcosθ2=sin2θ2 The function can…