Find the area of the region bounded by the graph of f(x) = x(x + 3)(x- 1) and the x-axis on the interval [- 3,1]. The area is (Simplify your answer.)

Q: Find the area of the region between the graphs of y = 16 – x² and y = - 3x – 24 over the interval –…

A: The objective is to find the area.

Q: Find the area of the region between the graphs of y = 16 – x and -1< x < 7. 3x 2 over the interval…

A: Given: The functions y=16-x2 and y=-3x-2, To determine: The area of region between the graph of…

Q: Q2/ Find the area of a region bounded by the curve f(x) = 8x' and x-axis and the two lines x=1, x=3.…

A:

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

Q: The total area bounded by the graph of y = r- 1 and the x-axis is represented by 2.

A:

Q: Find the total areas of the regions a. Between the graph of f(x) = 1- Vx and the x-axis for 0 < x <…

A: Given:        fx=1-x interval 0≤x≤4  Total area of the region between the curve fx and the x-axis…

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: Find the area of the region bounded by f(x) =x^3+ 1 and the x-axis on the interval [−1,5] ?

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [1,…

A: The area of a curve f (x) on an interval [a, b] is given by,     Here, the given curve is f (x) =…

Q: Find area of region f(x)=x2+4x+4 g(x)=4x+13

A:

Q: f (x) = x² + x – 6 - 6

A: By using area bounded by curve formula, we calculate the required area.

Q: on

A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

A:

Q: the area of the region under the graph of f on [a, b]. f(x) =  7 x2

A:

Q: Find the total area bounded by the x-axis and the curve f(x) = x2 + 3x - 4 over the interval [0, 4]…

A: The given curve is,

Q: find the area of the region under the graph of the function f on the interval [4,10]  f(x) = 8x - 5…

A: Area of trapezium

Q: Find the area of the region bounded by the graph of f(x) = 4 – x², the x-axis, and the vertical…

A: function f(x)=4-x2 To find area of region bounded by f(x), x-axis and the line x=1 and x=2.

Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

A:

Q: The area of the region between the x-axis and the carve y = e¯ -3x for x >0 is

A: Formula:For y=fx; y≥0 area between the curve y=fx, x=a,x=b and x-axisA=∫ba fxdxGiven y=e-3x

Q: Find the area bounded above by the function f(x) = -3x² + 4x - 1 and bounded below by the x-axis.…

A:

Q: Find the area of the region bounded by the graph of f(x) = sin x and the x-axis on the interval [-…

A: Given: The expression to calculate the area under the curve 'y=f(x)' and the x-axis between x=x1…

Q: Find the area of the region under the graph of the function f on the interval [-27, -1]. f(x)=…

A:

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

A:

Q: Find the total area between f(x)=3x2-3 and the x-axis on the interval [-2,2]

A: Calculation:The given curve are f(x) = 3x2 – 3 and the x axis y = 0 on the interval [– 2, 2].The…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

A:

Q: Determine the area, in square units, of the region bounded above by f(x) = -x² + 20x – 70 and below…

A: Given:  fx=-x2+20x-70 gx=x+20 To find: Find the area over the interval 9, 10. Required formula:…

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

A:

Q: Find the area of the region bounded by the graphs of f(x) = x³ – 3x + 2 and g(x) = x + 2.

A: Given functions are fx=x3-3x+2,gx=x+2. Graph the given functions as shown below. From above graph,…

Q: The area between the graph of f (x) = x4 and the x-axis over the interval [0, 1]

A: Given equation - f(x) = x4Given intervals = 0, 1Let's draw the curve for the function given -  x…

Q: Find the area of the region between f(x) = x² + 2 and g(x)= x - 1 on the interval [-2,2]

A: The functions are f(x)=x2+2  &amp;  g(x)=x-1

Q: a) Estimate the area under the graph of f(x)=2x+1 from x= 1 to x=2 using four approximating…

A: Given problems:- a).  Estimate the area  under the graph f(x) =2x+1 from x=1 to x=2 using four…

Q: Find the area of the shaded region. 18- f(x) = 8x + 2x - x°, g(x) = 0 -4 -18-

A: We have the following equation

Q: 3. Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x = 1

A:

Q: find the area of the region under the graph of the function f on the interval [0,3] f(x) = 3x-x^2

A:

Q: Find the area of the region enclosed between f(x) = 0.8x+ 10, g(x) = x, x = -7, and r = 8 Area =

A: Given, f(x)= 0.8x²+10 g(x)= x x=-7 and x= 8

Q: Find the area of the region enclosed between f (x) = 0.1x2 + 4, g(x) = x, x = -8, and x = 4

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

Q: Find the area of the region between the graph of f (x) = x* – 3x² +8 and the closed interval [-1,…

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval…

A: Given fx=9x2-6x-5        1,4

Q: Find the area between the curves f(x) and g(x) 2. f(x) = 3x, g(x) = x² – 3x + 8

A: We will find the area between the two curves.

Q: Find the area of the region between the x-axis and the graph of f (x)= x' – 4.x² + 3x, Osxs2. .

A:

Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: Find the area of the region bounded by the graphs of f(x)=5-x^2 and g(x)=x^2-3.

A:

Q: Find the area between the curve f(x) = −3x^2 + 3 and the x-axis over the interval [−1, 2].

A: Answer and explanation is given below

Q: find the area of the region under the graph of the function f on the interval [-27,-1]  f(x) = 1 -…

A: Here Area under a curve on an interval is  analogous to the integral of the function of the curve on…

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x^2-14x g(x)=0

A: SOLUTION-

Q: 5. Find the area of the region between the graphs of f(x) = x3 – 2x2 + x - 1 and g(x) = -x2 + 3x -…

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.