Answered: Subject: calculus Using integration,…

Math

Calculus

Subject: calculus Using integration, find the area of the region enclosed by the lines 2x+y-6=0 3x-2y-1=0 X-3y+4=0

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.5: Equations Of Lines

Problem 50E: The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of...

See similar textbooks

Related questions

Q: Let the vector v have an initial point at (1, 0) and a terminal point at (4, 2). Determine the…

Q: 4. Suppose that the acceleration of a particle (in meters per second per second) is given by the…

A: Let a(t) ,v(t), s(t) are the acceleration, velocity and position of a particle respectively. vt=∫at…

Q: Pls not handwritten . Submit in text form pls.The plane x + y + 2z = 30 intersects the paraboloid z…

A: It suffices to minimize the square of the distance to the origin D = x^2 + y^2 + z^2, subject to…

Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: Find the average value gave of the function g on the given interval. 8 1+ [0, 9] gave = g(t) = =

Q: Given f(x, y) = 9xy + 5xy. Compute: a² f дх2 = a²f = dy²

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: DETAILS Find a Cartesian equation for the curve. r = 7 sec(0) x=7 PREVIOUS ANSWERS Identify the…

Q: Use the graph of the rational function f(x) to complete the statement. As x 27, f(x)→ -10 OO -2 +∞ 0…

Q: 25. an = ln 12n+2 −9+4n

A: Given :an=ln12n+2-9+4n

Q: Consider the following curve. 2 = sin(20) Ф. Set up an integral that can be used to find the shaded…

Q: e) find f dx (1-x)(2+x) ( Hint use partial fractions )

A: ∫(1-x)(2+x)dx

Q: Question 3 Use the ratio test to determine if the series converges or diverges. n-1 n'e-en O…

Q: Differentiate f(x) = cos - ¹ ( f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule:…

Q: Find area of the region under the curve y = 4x³ - 2 and above the z-axis, for 3 < x < 8. area =

A: We know that the area of the function f(x) at x=a to b is int_a^b f(x) dx

Q: The position of particle is given by x = t³ - 5t² +9t where t is time measured in seconds and x in…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. For the function f(x) = xe-, find the intervals on which the function is concave up and concave…

Q: Two individuals are attempting to relocate a sofa by applying forces in the indicated directions. If…

A: given forces and angles are

Q: Consider the following. r(t) = (7t)i + (4t − 3)j + 6tk, P(6, 1, 6) (a) Find the arc length function…

A: The arc length of the vector curve r(t) is given by St=∫abr'tdt

Q: Find the second partial derivatives of the function f(x, y) = x³y5 + 2x5y. a2f дх2 1. 2. 3. 4. - 82f…

A: The function is given by fx, y = x6y5+2x5y To determine: The expression of the following second…

Q: Evaluate the following indefinite integral. de = +0 ds +C

Q: e 흐 e

A: We have to categories the eigen values.

Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3109100) 1=2 A…

Q: 1 L² -1 3 ترجم 4 x² 4 + 4 da

A: ∫-11x3x44+4dx

Q: ππ|2 ff sin(2x)cos(3y)dx dy 00

A: Use the double integral separate the variable

Q: Express the vector (5, 1) in terms of the standard unit vectors i and j.

Q: 21. f(x) = ln (5 - x)

A: 11-u = ∑n=0∞ un = 1+u+u2+u3 +...

Q: find a unit normal vector to the surface at the indicated point

Q: and a tangent vector at point P. 2 166. (x² + y²)² = 9 (x² - y²), P(√2, 1)

Q: o functions are given as f(x) kx- 2 and g(x) he two composite functions f(g(x)) and g(f(x)) are…

A: The given functions are; f(x)=kx-2 g(x)=kx+4

Q: Use linear approximation, i.e. the tange as follows: Let F(x)=√x. Find the F(x) at x = 64 еди L(x)=…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=64 which means that…

Q: A volume is described as follows: 1. the base is the region bounded by x = y² +10y + 62 and x = y²…

A: equation are (x-6)=(y-14)

Q: b) A water tank has the shape of inverted circular cone with base radius 2 meters. and height 8…

Q: If 13 ≤ f(x) ≤ 18, then 9 Osffl 0 < f(x)dx ≤ 0

A: 13 ≤ f( x ) ≤ 18.... ≤ ∫49f( x )dx ≤ ......

Q: Given the two vectors u = (2, -4, 5) and = (-4,-2,-2), calculate the following. Write vectors in…

Q: [₁ 7 tan(x) sec³(x) dx 7 sec³(x) + C 3

A: We have to solve the indefinite integral. We can solve by substitution method.

Q: Find a formula for a function g(x, y, z) whose level surfaces are planes parallel to the plane z =…

A: A level surface to a given function can be found by setting the function equal to some constant C.

Q: 2. A mother holds a baby's stroller stationary on a hill with a 20° incline. The stroller and baby…

A: 2) Magnitude of the parallel component = Weight × cosangle of incline…

Q: O O O Submit

Q: 27, 28, 29 and 30 Evaluate the indefinite integral as a power series. What is the radius of…

Q: Evaluate the integral. (Use C for the constant of integration.) [test dt

A: Given indefinite integral ∫te8tdt

Q: The sum can be written as a single integral in the form Determine a and b. a = 5 [ ² f(x) dx + √₂²…

Q: 17. In 3/1 x 1 Lett In 20 + y dy dx

A: ∫ln2ln3∫01ex+ydydx

Q: graph the function f(x)= T 2 ax 2 X-4 if a 40

A: Given :- f(x) = ax²/(x²-4) a < 0 Now plotting the graph

Q: A rocket is fired at an angle of 25° to the ground and with an initial velocity of 120 m/s. Resolve…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: 30. DETAILS Identify an 2 n² + 3 Use the Root Test to determine whether the series convergent or…

Q: For the curve given by Find the unit tangent T(t) = ( Find the unit normal N(t) = ( Find the…

Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: 50) In e A)-1 B) 1 C) e D) 0

A: Give that ln(e)

Question

Subject: calculus

Using integration, find the area of the region enclosed by the lines
2x+y-6=0
3x-2y-1=0
X-3y+4=0

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Graphs of the given lines

VIEW

Step 2: Area enclosed between the lines

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The y-axis along with the graphs of y=-2x+7 and y=x+2 encloses a triangular region. Find the area of that region.
Scetch the region of integration and change the order of integration
Integral Calculus The area in the 2nd quadrant of the circle x2 + y2 = 36 is revolved about the line y +10 = 0. What is the volume generated?
Solve the problem. Draw figure to show the bounded region. Find the area bounded by y=(1-x^2)^2 and y=0
Calculus 11th Edition - Ron Larson Chapter 4.5 - Integration by Substitution Finding the Area of a region - Find the area of the region. Use a graphingutility to verify your result. Please show steps & explain work, thank you:
include graph and complete solution. Find the area of the region bounded by y² = 8x and y = x.
Find the area of the region enclosed by the positive x-axis and spiral r = 4u/3, 0<= u <=2pai. The region looks like a snail shell.
Work though all integrals. Determind the area of the bounded region the region is bounded by x = y^2 and x = y^4
Calculus. Please write the complete solutions legibly. Upvote will be given! What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the answer Into 2 decimal places.
a) Find the number a such that the line x = a bisects the area under the curve y =1/x, 1 ≤ x ≤ e^2 b) Find the number b such that the line y = b bisects the area in part (a)