(2.) Determine the equation of the plane that contains the lines x=1+t y=0+2t x=1-3s y=0+s z=2-t Point (1,0,2) z = 2+ s Vectors (1,2,-1) and <-3, 1, 1> Lie D in Plane 2 3(x-1)+(4-0)+7 (2-2) => 3x-3+ y +72-14=0 3x+3y+77=17 = < 2+1, 3-1, 1+67 = <3,8,77

(2.) Determine the equation of the plane that contains the lines x=1+t y=0+2t x=1-3s y=0+s z=2-t Point (1,0,2) z = 2+ s Vectors (1,2,-1) and <-3, 1, 1> Lie D in Plane 2 3(x-1)+(4-0)+7 (2-2) => 3x-3+ y +72-14=0 3x+3y+77=17 = < 2+1, 3-1, 1+67 = <3,8,77

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 23E

See similar textbooks

Related questions

Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

Q: Evaluate the integral. (Use C for the constant of integration.) Sin(x+ In(x + √x-6) dx x2

Q: Find the maximum rate of change of f(x, y) = ln(x² + y2) at the point (-5, -2) and the direction in…

A: f(x,y)=ln⁡(x2+y2) at the point (−5,−2)Using the chain ruleddxf(g(x))=f′(g(x))g′(x)

Q: a) The function and its derivative always have the same domains. (b) To find the derivative of h(x)…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: Given the function f(x) = ― X 3 (a) Use the definition of derivative to calculate the derivative…

A: Answers are following in explanation step.Explanation:

Q: Consider the following. 3 y=x+2 y= x² -3 -2 -1 1 2 3 (a) Find the points of intersection of the…

A: (a)Points of intersection of the curves.(x,y)=(−1,1) (smaller x-value) (x,y)=(2,4) (larger x-value)…

Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: Question 6 Provide a rough sketch of the graph of the function y = f(x) with the properties below:…

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer: gu(0,0)=17gv(0,0)=8Explanation:Step 1:

Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: Prove by mathematical induction that the sum of the squares of the first n natural numbers is given…

A: The objective of this question is to prove the formula for the sum of squares of the first n natural…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: If you have any doubt ask me comments section Pls like this answer Explanation:

Q: Determine the Cartesian equation of the plane that has a normal vector (-3, -7, 8) and passes…

A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

Q: I need help with number 59

A: The y-intercepts are:−19+2≈−2.3589 and 19+2≈6.3589 ---------------------------If you are asked for…

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: In the figures, which of the shaded regions (A, B, C, or D) has the area given by the following…

A: (a) A and C(b) BExplanation:Step 1:The only thing we should know to solve this question is that if…

Q: Hello Could you help with this problem: Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π<z<2πExplanation:Step…

Q: 22. Determine the area of AABC with vertices A(3, – 2, 4), B(1, 3, 2), and C(-1,2,4).

Q: A retailer anticipates selling 5,200 units of its product at a uniform rate over the next year. Each…

A: We need to find a minimum inventory cost and number of units.

Q: Find an equation of the tangent line at x = a. 2 y=x-xia=2

A: y=x−x2;a=2Using the power ruleddxxn=nxn−1

Q: The concentration of a drug in an organ t seconds after it has been administered is given by x(t) =…

A: The objective of the question is to understand the concentration of a drug in an organ at any given…

Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: If a coin is tossed 11 times, find the probability of the sequence H, T, H, T, T, T, T, T, T, H, T.…

A: The objective of this question is to find the probability of a specific sequence of outcomes (Head,…

Q: Find a and b such that [-1, a, 6] and [b, 8,12] are collinear

Q: help

A: (A) 21ln(2) Or ln(2) (B) 0.347Explanation:Step 1: Step 2: Using graphing calculator

Q: I need help with this proble, a step by step breakdown in laymens terms. No hand written responses.

A: (A.)N′(x)=x23600 (B.)N'(10) = 36Option B. At the $10,000 level of advertising, sales are increasing…

Q: a homeowner wishes to insulate his 1200 square foot house's attic. The total cost C (r) for r…

A: The homeowner should place 9 inches of insulation in the attic to minimize the total…

Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

Q: o 3 π/2 31/2 2TT 511/2 The amplitude is¦ 5 3TT 711/2 The midline is ¦

A: To find the amplitude and midline of the following graph.

Q: find the derivite of 9 sin squared (-6x to the sixth power)

A: The answer for the given question has been solve step by step below please find the attachments…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: 364π cubic units Explanation:

Q: Let f : R → R be a function defined as f(x) = ⌊x⌋, where ⌊x⌋ denotes the greatest integer less than…

A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: help

A: Answer: (a) $5880(b) $3920Explanation:Step 1:

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b = 5* 4 *cos(π/8)a⋅b = 18.4776…

Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

A: The objective of this question is to find the probability that it will not rain either today or…

Q: Əz Əz Use the chain rule to find and მs at u z = tan u = 7s + 9t, v = 9s - 7t V Əz II as дг at =

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: 17. Find the intercepts of the plane 2x + 6y − 3z - 12 = 0. -

A: Intercepts are : 6, 2, -4Explanation:

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: f(x)= 3ex 2e-5

A: f(x)=3ex2ex−5f′(x)=ddx[3ex2ex−5]Using the quotient rule ddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Ex 1. Calculate the derivative i) x² + y² = 1. dy 33 dx for the following: ii) xy= x²+y.

A: To calculate the derivative of the following.

Q: Q1/Show that the differential equation by by y' = x²y x³ + y³ is homogeneous and find the particular…

Q: 5. The dot product of any two of the vectors i,j,k is 6. If two vectors are parallel then their dot…

A: Dear learner, as per our guidelines I can solve only three subparts of a problem.further can be…

Q: If ♂ = [m, n, 1] is perpendicular to both a = [4, 1, −2] and ỗ = [2, −3, −8], find m and m

A: Consider the vectors

Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

Q: let F(x)=f(x^7) and G(x)=(f(x))^7 You also know that a^6=12 , f(1a)=3, f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Question

Please review and solve problem 2 and explain how the answer was found. Problem will be attached to this request.

(2.)
Determine the equation of the plane that contains the lines
x=1+t
y=0+2t
x=1-3s
y=0+s
z=2-t
Point
(1,0,2)
z = 2+ s
Vectors (1,2,-1)
and <-3, 1, 1>
Lie
D
in
Plane
2
3(x-1)+(4-0)+7 (2-2) =>
3x-3+ y +72-14=0
3x+3y+77=17
= < 2+1, 3-1, 1+67
= <3,8,77

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 by step

Solved in 1 steps with 2 images

SEE SOLUTION Check out a sample Q&A here