Consider the lines L and L2 whose symmetric equations are x – 1 L1: y + 1 z + 1 y – 3 z + 4 L2 : 4 – a = -2 1. Find parametric equations for L1 and L2. 2. Are L1 and L2 parallel? Perpendicular? Justify your answer

Q: 1. Parallelogram method Vector A: 10 m, 25⁰ Vector B: 6 m, 15°

A: (1) Given that,   Vector A:  10m,  25o   Vector B:   6m,  15o    Formula: To solve using the…

Q: 1. Determine the Taylor Series (5th approximation) of the function defined by f(x) = sinh x about a…

A:

Q: Sketch level curves for f(r, y) = 2 = y - cos(x) (at least 4). Based on your sketch, describe the…

A: Given fx,y=z=y-cosx. We will sketch the level curves for z = 0,1,2,3. z=0, y-cosx=0⇒y=cosxz=1,…

Q: c) Using the table below how many factors should the researcher keep and why? Factor Total 1 3,751 2…

A: From the above given data the following solution is provided below:

Q: Symbolize the following sentence into predicate logic using the provided symbolization key (hint,…

A:

Q: 1. Fair die is thrown four times. Calculate the probabilities of getting: 0 Twos 1 Two 2 Twos

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: We have…

Q: For the functions f(x) = 3x – 4 and g(x) = x + 2, find the following and determine %3D the domain in…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: What is the mean absolute deviation of the following set? {23, 24, 29, 30, 38, 48}

A: First we calculate the mean of the given data set then we calculate the distance of each element of…

Q: Find parametric equations for the set of all points P as shown in the figure, where a = 3, such that…

A:

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A: See the attachment

Q: 2. Determine the Maclaurin Series (5th approximation) of the function defined by f(x) = sinx. a.…

A: Maclareen series is taylor series about zero i.e. a =0…

Q: 4) The median of the pdf f (x) = x 1,2,3, .7 is equal to 5 a. True b. False 5) The value of the…

A: Note : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: It has become common for shoppers to comparison shop using the Internet. In a survey, respondents…

A:

Q: h 4 (b) Lim h-0 V5h + 4 - 2

A:

Q: Use the spinner shown to answer the question. Assume that it is equally probable that the pointer…

A: Given spinner divided into 6 equal part.   2 parts are green. 1 part is yellow. 3 part is red.

Q: *1. Solve the problem by applying the Fundamental Counting Principle. A restaurant offers a choice…

A: It is given that a restaurant offers a choice of 5 salads, 10 main courses and 4 desserts.

Q: *2. At a lumber company, shelves are sold in 4 types of wood, 3 different widths and 6 different…

A: 4 type of wood 3 different widths 6 different lengths   how many different type of shelves could be…

Q: Current estimates suggest that 80% of the home-based computers in a foreign countr have access to…

A: Given : Probability of success,p = 0.80 Probability of failure,q=(1- 0.80)= 0.2…

Q: For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Note: Since, you haven't mentioned which question you would like to get answered. Here, we are…

Q: The dynamics of the variable y with respect to variable x is described by the following ODE: dy –x²y…

A: Runga-Kutta Method of order 4:

Q: Suppose that (Xn)n20 is a stochastic process, such that X, is the value of an asset at day n. Assume…

A: Given that Xnn≥0 is a  a stochastic process, such that Xn is the value of an asset at day n.

Q: Q3. Expand and simplify (1) (2k – 3)(k - 2)

A: Given :                      (2k - 3)(k - 2)           Now we try to expand (2k - 3)(k -…

Q: a Q5 Make Q the subject of P= Q² +b

A: we have to make Q the subject of P=aQ2+b that implies we have to solve it for Q.

Q: 2. Consider an inventory system which the sequence of events during each period is as follows. i. We…

A: Given:

Q: 1. Solve the given differential equation. (a) x²y" - 2y = 0 (b) x²y"+y' = 0 (c) x²y" + xy' + 4y = 0

A: x2y''-2y=0 Note: There is multiple question multiple subparts, according to the guidelines we are…

Q: Provide an appropriate response. The critical values of f(x) = 4x - 48x + 24 are x = -2 and x = 2.…

A: The critical values of the function fx=4x3-48x+24 are x=-2 and x=2. To find : Which of the critical…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.