1) How was the direction vector determined to be (1, 1, 1) if when solving for the tangent line at t = 0 we got the following vector (1, 1, 0) 2) How were the parametric equations determined: n = 1 + t 4 = t 2 = 0 where did the variable 'n' come from? where did the 4 come from? where did the 2 c

1) How was the direction vector determined to be (1, 1, 1) if when solving for the tangent line at t = 0 we got the following vector (1, 1, 0) 2) How were the parametric equations determined: n = 1 + t 4 = t 2 = 0 where did the variable 'n' come from? where did the 4 come from? where did the 2 c

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

See similar textbooks

Related questions

Q: Using the chain rule, obtain if you have to az at Z = (x - y)³ ; x = 9t³s ;y = 5t-5s-³

A: Here we find partial derivatives of x with respect to x and y and partial derivatives of x and y…

Q: For the listed functions A) through D), do the following: • Plot the function f(x) and its magnitude…

A: Since you have asked multiple questions, we will solve the question (A) for you. If you want any…

Q: Find the local maximum and minimum values of f(x) = x^5 -5x +3 using the second derivative test when…

Q: 4. Suppose (G₁, *) and (G₂, 0) are groups, let i and J denote the respective identities of G₁ and…

A: and are group. be a group isomorphism.We have to prove that if has finite order the has finite…

Q: (1) solve the homogeneous differential equat. (47) (0ª - 70³ + 185² - 20D + 8)y=0 2 (b) (²t² D² + to…

A: We have to solve the following differential equations (a) (D4 - 7 D3 +18 D2 -20 D + 8)y = 0(b)(2t2…

Q: The mass, in grams, of a wire is given by the function ƒ(x)= x(1+√x) where x is the length measured…

Q: 13. Given f(x) = x² - 4 and g(x)=√x, which function represents the composite function y = (fº g)(x)?…

A: Given,To find: the composite function

Q: Anika saw a bag at a trade show that she would sell to her customers for $85.00. What is the most…

A: To retain a markup on the selling price, Anika needs to set her cost price (the amount she pays for…

Q: Let (A,) be a poset. Define a function f: A → P(A) by f(x) = {a € A: a <x}. What can you say about x…

A: Here given that be a poset.Define function is by Noted that here is power set of .Here we have to…

Q: sin(x) y + ycos(x) = 0 dy dx

Q: 12 (a) If Az = b has two solutions ₁ and 2, find two solutions to Az = 0. (b) Then find another…

Q: 4) Let a < b be real numbers. Prove that the half open/half closed interval (a, b) is both an Fo and…

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

A: Given, the vector-valued function to find: the vectors and and the binomial vector at .

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: a. in 1 month: nonsmokers: 4650 1 pack/day or less: 2375 more than 1 pack/day: 2975.b. in 2 months:…

Q: 1) Write as single cycle or product of disjoint cycles: (1234) (245)(1534)(513)

A: We have to write the following permutation as single cycle or product of disjoint…

Q: (a) Use the midpoint rule with n = 10 to approximate the integral L'ex². dx. (b) Give an upper bound…

A: Given, an integral .It is required to:a) Approximate the integral using the midpoint rule with .b)…

Q: (Recommended) Execute the six steps of Worked Example 3.3 A to describe the column space and…

A: Note: " As per guidelines we will solve the first question.If you want any specific question to be…

Q: An access code consists of a letter followed by four digits. Any letter can be used, the first digit…

A: .

Q: A polynomial P is given. P(x) = x³ 3x² + 4x - 12 (a) Factor P into linear and irreducible quadratic…

A: (a) Factor into linear and irreducible quadratic factors with real coefficients.(b) Factor…

Q: Cherokee Incorporated is a merchandiser that provided the following information: Amount…

A: The objective of this question is to prepare a traditional income statement for Cherokee…

Q: Find the largest interval on which the above theorem guarantees that the following initial value…

A: To determine the largest interval on which the existence and uniqueness theorem guarantees a unique…

Q: Solve the consumers maximization problem JynuuÉvo Σαπώθηκε από max U = x + 0log(a + A) subject to…

A: The objective of this question is to solve the consumer's maximization problem. The utility function…

Q: For f(x,y)=x²-xy + y² - 5x+y find all values of x and y such that f(x,y) - f(x,y)0 simultaneously.…

Q: Problem 7. Consider Let : M₂(Z) → Z given by *(())- Show that this is not a ring homomorphism. = =…

Q: Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After conducting…

Q: Problem #2: A large tank contains 50 litres of water in which 25 grams of salt is dissolved. Brine…

A: Using the given data we find amountof water in terms of t .

Q: Problem 5. Prove that the rings (without unity) 2Z and 3Z are not isomor- phic.

A: To prove that the rings 2 and 3 are not isomorphic, we can use a proof by contradiction.Assume…

Q: Suppose that f is defined recursively by: f(0) = 4. f(n) = 2 f(n-1) + 3. Find f(1), f(2), f(3),…

Q: Let ECR. Prove that m*(E)= 0 implies that E is Lebesgue measurable.

Q: How large should we take n in order to guarantee that the trapezoidal and midpoint rule…

A: How large should we take in order to guarantee that the trapezoidal and midpoint rule…

Q: 2) If CCR is countable then prove that m*(C) 0 using the definition of m*.

Q: Given the following relations on the set of all people. Check ALL correct answers from the following…

A: Let R be a relation on S, then R is calledReflexive: if Symmetric: if Antisymmetric:Transitive: If…

Q: (a) Use the graph to find L₂, R₂ and M₂. 4₂ = 12 24 19.2 ܕ R₂ M₂ = x x x X

Q: Which regions in the Venn Diagram below should be shaded to represent the set AnC? Select all that…

A: All options excepts A and E are correct.Explanation:The set A ∩ C contains elements that are common…

Q: Use Newton's method to find solutions accurate to within 10-4 for the following problems. a. x³2x²5=…

A: Since you have posted multiple questions, we will provide the solution only for the first question…

Q: Find y as a function of t if 16y" + 16y + 4y = 0, and y(1) = 2, y'(1) = 3. y =

A: The given differential equation and the initial conditions .The objective is to find the solution…

Q: 5. (*) Let R be a ring with 1 in which ab #0 whenever a, b E R are nonzero. Let a ER\ {0}. An…

Q: What conditions on b₁, b2, ba, ba make each system solvable? Find a in that case: 12 3] 2 4 6 257 39…

A: Given system is Here associated augumented matrix is

Q: Use the midpoint rule with n = 10 to approximate the integral l'ex² O Give an upper bound for the…

A: answer the parts parts with an X that are wrong.

Q: Convert the following from symbolic logic to an English sentence. (pvq) ⇒r p = class is over q=class…

A: (p v q) ⇒ r C. If class is over or class is cancelled, then I'm going to Starbucks.Explanation:The…

Q: → → → → → If for some subspace HCR and list of vectors V1, V2, V3, V4, V5 € R", one has → Span{V₁,…

Q: Q5. Find solution to the system x(0) = [¹₁] -P³₁ 3. If and A = where X = AX and X = [X₂] and X…

Q: The table below contains price-demand and total cost data for the production of treadm where p is…

Q: EXAMPLE 2-10 Choosing the Better Process Process A produces 1,000 defect-free parts per hour. After…

A: Key assumptions :Total time = 8 hours of operation +Adjustment timeThe adjustment time is not…

Q: Jeffrey is thinking about changing insurance companies. He has been offered a "good driver" discount…

A: The objective of this question is to find out how much Jeffrey will pay for his car insurance per…

Q: solve and show work

A: The objective of the question is to solve the given complex equation. The equation involves complex…

Q: Consider the curve C y² = 9 cos (3x)

A: We have to find the value of integral.

Q: Solve the consumers maximization problem JynuuÉvo Σαπώθηκε από max U = x + 0log(a + A) subject to…

A: The objective of the question is to solve the consumer's maximization problem. The utility function…

Q: C) Show that 1 tan 0+cose =sin.20

Q: Give the definition of the double root of a function and sketch the graph of a function with two…

Question

100%

1) How was the direction vector determined to be (1, 1, 1) if when solving for the tangent line at t = 0 we got the following vector (1, 1, 0)

2) How were the parametric equations determined:

n = 1 + t

4 = t

2 = 0

where did the variable 'n' come from? where did the 4 come from? where did the 2 come from?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution