Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х — 2 3 – z = y +1 = 4 Write the vectors AB and AC in terms of its components. Determine ZBẠC, i.e., the angle between AB and AC. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. . Give an equation (in point-normal form) of the plane a containing the lines l and m.

Q: x - 2 and ao = 0, bo For f(x) Apply the bisection method and calculate bz (right endpoint after 2…

A:

Q: Jan Reus sold her home and has $18,000 to invest. She believes she can earn 8% compounded quarterly.…

A:

Q: IF R= 5B-2C find the value of the following R10 13 W16 11 14 17 r32 #12 15 18

A: To find the elements of the given matrices :-

Q: [2y ++e* (1+}]dx + %3D

A: To solve2y+y2x+ex1+1xdx+x+2ydy=0

Q: ed as shr Time, hour Fuel, liter 1.2 0.33201 1.7 0.54739 0.60496 1.8 2.0 0.73891 ino for 1

A: Given: Record of fuel consumption of the engine Time (hour) Fuel(liter) 1.2 0.3301 1.7…

Q: Evaluate F(1) e-2t Given: f (t)

A:

Q: Find the local maximums, local minimums, and saddle points of the function f(x, y) = 2e4y-x²-y-. You…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: Find the all the roots of f (z) = 5z² – j11z – 2.

A:

Q: Solve the IVP y" + 2y' + y = U (t – 3), y(0) = 0, y'(0) = 1. -

A:

Q: Solve for z. = | |+2% 2 lz а. - 1 С. 1 b. – ½ d. - %

A:

Q: Let x, x2, ....X10 be distinct Boolean random variables that are inputs into some logical circuit.…

A:

Q: b) d²y + 5y = 2t, given that y = 0 and = 1 when t = 0 dt dy %3D dt2

A:

Q: This question and the next three refer to this tree and the codewords generated by it: E A Question:…

A: Solution

Q: 1. Assign the maximum amount to this cell that is allowable based on the supply and demand…

A: Given: Let us consider the given statements and rearrange it.

Q: y = x and y=x+2 Revolve the area about the linex=3. Using cylindrical shell method, the volume of…

A:

Q: Given that the matrix A has eigenvalues A1 = -5 with corresponding eigenvector v1 and A2 = 5 with…

A:

Q: Problem (i) Consider the normalized vector v in R and the permutation matrix P, respectively 0 1 0 0…

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

Q: Given the tree below, find the following  a) Which vertex is the root? b) Which vertices are…

A: Here we use basic defnitions of tree

Q: Simplify 6+j2.5 3+j4

A:

Q: 1 11 1

A:

Q: An electrical device was measured for its current, I fluctuates at a number of different values of…

A: Given the data in the table of the current flowing at time t.   ts 0.6 1.1 1.5 1.9 IA -0.62Id…

Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: (2, y, :) = (2, In (2) +, In…

A:

Q: 29 U 45 A 20 54 32 In Figure LE1, A is the set of people who go to a resort area for vacation, B is…

A:

Q: If A and C are nonempty classes, prove that AC B and C C D if and only if AxC C BxD.

A:

Q: , find the percentage error in

A:

Q: Q1. a) Find the Laplace transform of the following expression by using transform tables. f(t) = t +…

A:

Q: (b) C(R)= {f:R→R | ƒ continuous} with pointuwise addition and multiplication of f, ge C (R) defined…

A:

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: We can solve this using given information

Q: if was t:i CR) Linear icdentifier Conversionasfollows PEXJEPICR) Forevery TEPX)=P() grand…

A: We have to find (1) KerT and (2) ImT

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Introduction: A rate of change is the relationship between a change in an output quantity and a…

Q: x + y+ 5z = 0 Solve 2х — у +z %3D 0 а. (4, 6, -2) b. (-2t, 0, t) - с. (-2t, -3t, t) d. No Answer

A:

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – xy)k…

A:

Q: 8. In a basketball fundraiser, Jasmine can make 10 free thr $16.25 for each free throw she makes.…

A: Introduction: A line is simply a geometric object with zero width that extends on both sides. A…

Q: By Variation of Parameters 1) xy' + (1 – x)y = xe* 2)(x²

A:

Q: Exercise 3.5.15 For n> 2, consider Z, as a group under addition (mod n) and let T denote the…

A:

Q: Consider the function g defined by 1 g(x, y) = cos (Tx/y) + log3 (x – y)" Do as indicated. Calculate…

A: Here we find the partial derivatives of given function and finding the unit vector along the given…

Q: [C] Purity was asked by her friend Joyce from the School of Mathematics on how to evaluate V6 since…

A:

Q: Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G) is an…

A:

Q: Find the general solution to the equation xdx + -dy= 3dy O x=/2y+ Cy-2 O xy= 2y + C O y = 2x3 + C…

A:

Q: Use the form of the recursive sequence and matrices to determine the closed formula for the…

A:

Q: Solve (x-j2y) + (y-j3x) = 2+ j3

A:

Q: Use Green's Theorem to evaluate the line integral (y - x)dx + (2x – y)dy for the given path. C: x =…

A:

Q: To find the distance AB across a river, a distance BC = 1226 m is laid off on one side of the river.…

A:

Q: 2. Let R be the relation on Z→Z such that ((a,b),(c,d)) = R a+d =b+c. Show that R is an equivalence…

A:

Q: 3 Let A = 1 Find the complex eigenvalues for A and eigenctors for each. |-1 3 Enter the eigenvalue…

A: The eigenvalues of a square matrix A is given by the roots of the characteristic equation det (A-…

Q: A.3 Direction: Let p be "She is not beautiful" and let q be "She is not intelligent." Write…

A: p : she is not beautiful  q : she is not intelligent

Q: Use resolution to show ∀x∀y[p(x,y) → ¬p(y,x)] models ∀x¬p(x,x)

A: Please look into the next step for detailed answer

Q: Question 2: Apply the modified Euler method (Runge-Kutta of order 2) with h = 0.1 to determine an…

A:

Q: 3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is…

A: Please find the answer in next step

Q: give an example of a function that is not a dirichlet function and justify

A: