The equation of line L1 is y = -2/3x - 2  (a) Write down the question of L1 Point P lies on L1 and has x-coordinate -6 (b) Find the y-coordinate of P The line L2 is perpendicular  to L1 and intersects L1 when x= -6 (c) Determine the equation of L2. Give your answer in the form ax + by + d = 0, where a, b and d are integers.

Q: 11

A:

Q: I. Prove the following statements using the indicated proof. 1.) Let 1 € Z. If z is odd, then (1² +3...

A: Power of an even number is always even. 

Q: + yž = 1, when x = 0, y = 4 dx

A: Solution:-

Q: Ex. 54 Show that the following additive group is cyclic and give its generator. 1. H2 the set of all...

A: Given: 1) H2 the set of all even numbers 2) H1=30n+45m | m, n∈ℤ. To show: Given subgroups are cyclic...

Q: Ex. 54 Show that the following additive group is cyclic and give its generator. 1. H2 the set of all...

A:

Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

A:

Q: sin (2?- 4a) lim, 4 sin (x2 – 10x + 24) -10x +24)

A: LHospitals rule indeterminate form.

Q: Consider the vector v between (-5, 5, –3) and (1, 1, 1).

A:

Q: There are 20 seniors serving the student council of the Bacnotan National High School this year. Of ...

A: Number of students not served before are=3 Those who served in all 3 years and serving this year als...

Q: 2. a. Fill in the table and sketch the graph of the following equation. f(x) : -2x - 5 3x + 18 Verti...

A: Given: 2. a) f(x)=-2x-53x+18 To find: Vertical asymptote, horizontal asymptote, x-intercept, y-inter...

Q: 13) Expand fit) in Fourier series in the interve) (-2, 2) when fit) = -zst <o

A:

Q: Evaluate e*cos(x)dx using integration by parts

A: Solution

Q: Let a, b, c e R, and consider the plane P with equation in vector form given by = [a, b, 3] + s[a, c...

A: The vector equation of plane P is given below. X=a,b,3+sa,c,2+tb,c,1 Here the plane P is parallel to...

Q: 10. One hundred students were surveyed and asked if they are currently taking math (M), English (E) ...

A:

Q: Topic: First order differential equations Analyze what solution you will use whether it is X bernoul...

A:

Q: 5s - 2 F(s) = s²(s – 1)(s+ 2)

A: F(s)=5s-2s2(s-1)(s+2)

Q: 22+88

A:

Q: aces x2 + y2 pint (2, -1, 2)

A:

Q: (a) Find a unit vector from the point P = (3, 3) and toward the point Q = (7, 6). %3D (b) Find a vec...

A:

Q: Eolre the following DE uing laplace trancfooy y" + 2y' ty = 0 when ylo)= 1

A:

Q: Determine sin(2 – 2i) and write the answer in the form a + ib.

A:

Q: Let R = (-2, 3). Find the point P such that PR has components (-2, –2). P =

A:

Q: 1. Let X = {a, b, c, d, e} and T = {Ø, X,{a}, {c, d}, {a, c, d}}. Find the closure, interior, exteri...

A:

Q: Ex. 54 Show that the following additive group is cyclic and give its generator. 1. H2 the set of all...

A: 1. Any element x in H2 is even, i.e, of the form 2k for some integer integer k.    Then any number x...

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

A:

Q: Your uncle has $90,000 that he wishes to invest now in order to use the accumulation for purchasing ...

A: Given: Total amount available for investment is $90,000. Investment A is available every year and it...

Q: 1.Sketch the graph of the following conic: 5x^2+9y^2-18y-36=0 Then determine the focal point and ecc...

A:

Q: for which the sys y +z = 6, 4x + Ay = -5 has infinitely m a root of which qu: %D :

A:

Q: True or False: "The diameter of the earth is 1 inch or I ate a pizza." is a statement? O True False

A:

Q: i1. L'[s/(s² +a)*]= (1/2a) t sin at 12, L' [1/(s² + a?)² = (1/2a) (sin at – at cos at) %3D

A: Introduction: The convolution is very significant in calculatig inverse Laplace transformation. Supp...

Q: (1) To what value does this sequence converge? (2) Use ro = 1 to approximate the limit in part (1) t...

A:

Q: (x – x² – y²)dx + (y + x² + y²)dy = 0

A:

Q: Consider the following system of linear equations. 5x+20y=-10 -6x-28y=12 Solve the system by complet...

A:

Q: 3 Solue Cy+2*g³)dx + C2+3x' (2+ 3x*;'+ x) dy=0

A:

Q: 8) A(3,5); 180° clockwise 9) B(-2,3); 180° CCW 10) C(-1,–4); 180° clockwise

A: Please find attachment for the details solution

Q: 2. (s-s²-t²)ds + (t + s² +t?)dt = 0

A: Given differential equation is (s - s2 - t2 ) ds + ( t +  s2 + t2) dt = 0s ds + t dt  + ( s2 + t2 ) ...

Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

A:

Q: Ex. 54 Show that the following additive group is cyclic and give its generator. 1. H2 the set of all...

A:

Q: (s-s? – t²)ds + (t + s? +t ?)dt = 0 %3D

A: sds + t dt  + ( s2 + t2)  ( dt - ds)  = 0 Multiplying by   I . F . = 1s2+ t212 (s2 + t2)  ( 2sds + 2...

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

A:

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of frien...

A:

Q: 4. Let n E N. Find all elements a Zzn+1) of order 2.

A:

Q: Let a, b, c e R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a,...

A:

Q: Solve dy dx x+ V xy

A:

Q: The graphs of 23 50 14 57 sin 50 49 e 50 y = and y 25 have been plotted on the same axes below. 2. T...

A:

Q: = 4x2yz, W = IZ

A:

Q: consider the degree 4 LFSR given by polynomial p(x)=x^4+x^2+1. What kind of polynomial is this p(x)=...

A: The given polynomial p(x)=x^4+x^2+1 With 4 LFSR. 

Q: CONVERGENCE TESTS AND MACLAURIN POYNOMIAL 6. a) Make a conjecture about the convergence of the serie...

A:

Q: Q 4.1.The number of rows that appear in the truth table for the compound propositie 19) -( (-pv r)) ...

A: # we are entitled to solve one question at a time . please resubmit the other question of you wish t...

Q: 1. Let a, = sin- - sin- for n eN = {1,2,3,...}. 1. Determine if the sequence {a,) converges or diver...

A: