How do you find the area enclosed by the given curves?
Table of Contents
How do you find the area enclosed by the given curves?
Step-by-Step Method
- Step 1: find the x-coordinates of the points of intersection of the two curves.
- Step 2: determine which of the two curves is above the other for a≤x≤b.
- Step 3: use the enclosed area formula to calculae the area between the two curves: Enclosed Area=∫ba(f(x)−g(x))dx.
What is the area of the enclosed region?
COMPUTING THE AREAS OF ENCLOSED REGIONS USING VERTICAL OR HORIZONTAL CROSS-SECTIONS. To find the area of a region in the plane we simply integrate the height, h(x), of a vertical cross-section at x or the width, w(y), of a horizontal cross-section at y.
What is the area enclosed by the curve 2x 3y 12?
⇒ Area = 7.5 Sq.
What is the area in square units and in the nearest tenths enclosed by the curve 9×2 25y2 225 0?
What is the area enclosed by the curve 9x^2 + 25y^2 – 225 = 0? Problem Answer: The area enclosed by teh curve is 47.12 sq. units.
What will be the area formed by the pair of lines 2x 3y 12 XY 1 0 with Y AXIX?
The area of the triangle formed by the lines `2x+3y=12 ,x-y-1=0` and `x=0` (as shown in Figure), is 7sq.
Is 2x 3y 12 a linear function?
Explanation: 2x+3y=12 is the standard form for a linear equation.
What is the area enclosed by the curve 9×2 25y2?
What is the y-intercept of 3x 2y 12?
The y-intercept is (0,6) .
What is the area of ellipse 4x 2 9y 2 1?
Area of this ellipse=π×41×91=π×361=36π
What is the slope-intercept form of 3x 2y 12?
y-intercept. Make x = 0 -> y = -6. Problem: Find the slope and y intercept of 3x−2y=12 . The slope-intercept form of a linear equation is y=mx+b , where m is the slope and b is the y-intercept.
What is the slope and y-intercept of 3x 2y 6?
1 Answer. The slope is 32 the intercept is 3 .
What is the factor of 4x 2 9y 2?
Algebra Examples Rewrite 4×2 4 x 2 as (2x)2 ( 2 x ) 2 . Rewrite 9y2 9 y 2 as (3y)2 ( 3 y ) 2 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=2x a = 2 x and b=3y b = 3 y .
What is the center of ellipse?
The center of an ellipse is the midpoint of both the major and minor axes. The axes are perpendicular at the center. The foci always lie on the major axis, and the sum of the distances from the foci to any point on the ellipse (the constant sum) is greater than the distance between the foci. See (Figure).
What is the answer to 3x 2y 12?
1 Answer. The answer is y=−32x+6 .
