(Area Under a Curve)

Q: Find the exact area between f(x) = 2x and g(x) = 15 – x from the vertical axis to their point of…

A:

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

A:

Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

A:

Q: Consider the function f (x) = –x² +9. What is the approximation of the net area under the curve of f…

A:

Q: 1.) Calculate the area under the curve y= y= 7- x, from x=- to X= 2

A: Given: y=7-x2  from x=-1 to x=2

Q: Find the area under the curve y=f(x)=x^3 from x=1 to x=3 using inscribed and circumscribed…

A:

Q: When using a change of variables u = g(x) to evaluate the definiteintegral, how are the limits of…

A:

Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

A:

Q: 3. Find the exact area between the curve f (x) = -2x² + 12x + 7, the x-axis, and x=1 and x=5.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

Q: 1. Find the area bounded between the curves: y = x+1, y = -2x + 7 and x = 0 A. With respect to the X…

A:

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: 8 Estimate the area under a curve over the interval -2 < x < 0 with the x and y values given in the…

A:

Q: "In Computing the area between two curves, why does f(x) have to be greater than g(x) over the…

A: In computing the area between two curves, why does f(x) have to be greater than g(x) over the…

Q: # 8) Find the area under the curve. y 4-x

A:

Q: Let a denote a positive constant. If the area under the curve y = x√(2ax - x2) from x = 0 to x = a…

A: We have to find the value of a so that area under the curve y=x2ax-x2 from x=0 to a is equal to 888

Q: What is the area under the curve of S(x) 5 fromr = 0 to r= 10?

A: Definite integral can be used to find the area bounded between two curves over an interval. Given…

Q: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

A:

Q: Let f(x)=-2x^ 3 +6x^ 2 -x+1, Use L 4 to estimate the area under the curve or the interval [- 1, 1]…

A: L4 is the left endpoint of the expression with 4 approximating rectangles.

Q: Find the exact area between the graphs of f (x) = 2x +1 and g (x) = 9 – x2. First find out where the…

A:

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

A:

Q: Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

A:

Q: (11) Find the area under the curve y =x+1 for 0<x<2 %3D

A:

Q: Find the exact area under the curve between the indicated values of x. y = -x2 + 9; between x = 0…

A:

Q: find the total area between the curve g(x)=x^3 + 2x^2 -x-2 and the x-axis, from x=0 to x=2

A:

Q: 8. Find the area under the curve y = e* and above the x-axis from x = 0 to x=1. -3x

A:

Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

A:

Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y = - x+ 9x between x = 1…

A:

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = Area

Q: What is the area under the curve for f(x) = 3x2 +5 between x=1 and x=10?

A:

Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Find the area of a region between the z-axis and the graph of f(r) = r² – x² – 2r. Define the term…

A: Given function is f(x)=x3-x2-2x

Q: a. Find the area under the curve f (x) = 4 – x² over the interval [0, 3] by using definition with x…

A: Given function is fx=4-14x2 and interval is0,3.

Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

A:

Q: Find the exact area below the curve y = x°(1 – x) and above the x-ax is. %3D

A: y=x31-x Diagrammatic representation of the required area is,

Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

A:

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

A:

Q: 3) f(x) = 2x + 5, on the interval [–1,4]. Use RRAM and five sub-intervals to approximate the area…

A: Note:  According to the guidelines issued by the company we should answer only one question, please…

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

A: y=tanx from x=-π4 to x=π3. The graph is,

Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

A:

Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

A:

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

A:

Q: Find the area above the curve y=Inx in the lower half-plane between x=0 and x=1. YA y=In x 1

A: The correct option is option d. From the curve determine the upper curve , lower curve. and the…

Q: 1. Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

Q: For the area bounded by the x-axis and the function f(x) = x² – 3x + 2, using Euler's Forward…

A: Note: We are not given number of steps for the approximation. Graphical Representation:

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

A:

Q: The area under the curve y =3/x over the interval [1.4]is equal to: 14

A: