Answered: 25. Find an equation of the plane…

25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y + 2z = 3 and perpendicular to the plane x + y – 2z = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

See similar textbooks

Related questions

Q: X-9 lim

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

Q: function f is given. f(x) = V 81 – x² (a) Use a graphing calculator to draw the graph of f. y y 15 1...

Q: Topic: Incentives ( Proof of integration formula for hyperbolic secant and hyperbolic cosecant) Prov...

Q: 1) lim (2x – 3) = 1 %3D x-2 2) lim|x| = 0 3) lim x2-9 6. х-з х-3 9 3

Q: PROBLEM 3: f (x) = Vx + 2 at (-1,1)

A: slope of tangent of function y=f(x) at (a,b) is given as m=f'(a)=dydxx=a

Q: B. Determine if lim f(x) = f (c) 24C 1. 18)-x+2; c =-1

A: f(x) = x+2 c = -1 f(c) = f(-1) = -1 + 2 f(c) = f(-1) = 1

Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) z2 + 15y2 Question Help: Me...

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

Q: he circle is tangent to the y-axis and the center is at (-2,-8).

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: 1. Let v = PQ where P = (3,4,0) and Q = (2, 3, 1) Find a vector u that is parallel to V but with a l...

Q: The position, in metres, of a particle moving in a straight line is given by the equation 30 s(x) + ...

Q: X' dx - X Evaluate: 4x½ 3 3x6 а. 3x% b. 3/ (4 + +C 10 3 10 +C 3 5/ 3x% + с. +C 3% 3 10 d. 10 +C

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

Q: (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first b...

A: Follow the procedure given below.

Q: B. Evaluate the following lim 1. lim log x

A: Given: limx→12logx

Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

Q: Find the inverse function of f. f(x) = 5 + 7x

Q: 3x 7. lim -4(2x+4)

Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: dy y(ln y – In x + 1) dx

Q: - x Find the general solution of the differential equation: dy + ( 2xy 4e dx = 0. What is the integr...

Q: Express the repeating decimal as a fraction. 0.4444. ..

Q: What is the differential equation given functions?

Q: 5. Find the absolute maximum and absolute minimum values of f(x, y) = 3xy-3x– 6y+1 on the closed tri...

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is...

Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify...

Q: Use f(x) = 4x − 5 and g(x) = 6 − x2 to evaluate the expression. (a) f(g(0)) = (b) g(f...

Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

Q: The expression ả o (b × č) represents O a scalar O a vector O a line something that does not make se...

Q: Evaluate |3-2*35* dx a. 33* In 3+C 33x b. +C 3 In 3 - 32x+1 In 3+ C 33x+1 d. +C

Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: 59. HOUSING STARTS Suppose that in a certain community, there will be M(r) thousand new houses built...

A: The function M(r) is given as M(r)=1+0.02r1+0.009r2

Q: 2. (2.xy – sin x)dx + ( - cos y dy = 0

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞ 56k+3

Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...

Q: Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyrami...

Q: 19 please

Q: dy Find in simplest form in each of the following dx - 5 1. y = - x³ – 4x² + 7x – 5 in

A: Given that: y=-5x3-4x2+7x-5 NOTE: As per our answering guidelines, we can only answer 1 question...

Q: y = C1e2" + C2e¬ y' +y – 2y = 0 Option 3 None of the choices y/" – y + 2y = 0 y' + y + 2y = 0 Option...

Q: Find the equation of the tangent line to the curve y = f(x) at the given point. y = f(x) = x²-x, at ...

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: Which of the following differential equations can be classified as separable and exact?

Q: 1.. The differential equation (3x² + 2.xy + 4y²)

Q: representing all lines passing thru (-1,1)

Q: Find the error propagated from the function y = 3x* if an error of 0.06 occurs in the independent va...

Question

25. Find an equation of the plane through the line of intersection
of the planes x - z = 1 and y + 2z = 3 and perpendicular to
the plane x + y – 2z = 1.
|

Expert Solution

Step 1

Equation of a plane P that passes through the line of intersection of two planes P₁ and P₂ is given by,

P=P₁+ $λ P_{2}$

Let us consider a plane ax+by+cz=d which is perpendicular to a plane px+qy+rz=s. Then we have,

ap+bq+cr=0

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here