4. Using normals, analyze and describe the geometric nature of the intersection of the three planes below. Draw a diagram, showing the three planes, to support your analysis. π 1 : 2 x + y – z + 3 = 0 π 2 : 6 x + 3 y – 3 z + 5 = 0 π 3 : 4 x + 2 y – 2 z + 6 = 0 Do not solve just prove using grade 12 knowledge no matrix or acronyms

Q: Exercise 25.2. Prove that log, (bc) = log, b+ log, c (mod p- 1) for all b, c not divisible by p.

A:

Q: Using four triangles to estimate the area under f(x) is approximately

A:

Q: y' = 5xy- 2x

A:

Q: Consider a mortgage loan of $940,000 taken at time t=0 at the fixed interest rate of r=0.09 per…

A: Mortagage loan is amortised in 15 years. Principal=$940,000 r=0.09/year n=15

Q: Q3: Solve the following equation using: Heun,

A: Note:- As per our guidelines, we can answer the first part (as all the methods are different) of…

Q: (14) Construct a truth table for (p →q)^ (q → r). Determine whether it is tautology, contradiction…

A:

Q: DIFFERENTIAL EQUATION: Find the general solution using separation of variables with step by step…

A: Solution

Q: (D³ - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e²"+2e=x B y = (-1+ 2x)e-2r+e2r C y…

A: Given differential equation is (D3-3D-2)y = 0 with x=0,y=0,y'=9,y''=0.

Q: When there was a boom in the real-estate market, Jordan sold his condo for $462,170, which is 135%…

A:

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Binary Data 1. Complete the chart. Find the base 2 represe Base 10 Base 2 21 22 23 24 25 26 27 28 29…

A:

Q: 4. Let F(n) = 2F(n – 1) + 5F(n – 2) – 6F(n – 3) with initial conditions F(0) = 4, F(1) = -4 and F(2)…

A:

Q: Solve the DE: 2 (x+y) dx-x(x+2y-2) dy= 0 A 2xy-x2= Ce B 2ху+ x2- Се* (c) 2xy+x?= Cey D2xy-x2 = Ce* E…

A:

Q: 2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1%; when -7 <…

A: 1st we will defined dirchlet function and then check given function satisfies its condition or not .…

Q: 5. (The residue theorem and residue calculus) Compute the following integrals: e (a) . (b) sin(e/=)…

A:

Q: ORTHOGONALITY OF BESSEL FUNCTIONS x J, (ax) J, (Br) dx = 0 where a and B are the roots of Jn (x) =…

A:

Q: Estimate the length of the curve y=0.5x² over [1,4] using n=6 and trapezoidal method. Also determine…

A:

Q: Drag and drop your selected answer for each of the ollowing 7 questions. Each answer may be used…

A:

Q: Solve the following recurrence relations. 4an-2,n > 2; ao 0 and aj = = 4. a) an b) а, 3D 2ад-1+…

A:

Q: Use the Laplace transform to solve the given integral equation f(t) = te + tf(t - t) dt

A:

Q: Solve the following by Laplace Transform y' – y – by = 0, y (0) = 11, y (0) = 28

A: The Laplace transformation formula are  Ly''=s2Ys-sy0-y'0, Ly'=sYs-y0. Apply Laplace transformation…

Q: (4x²+ 5x+)dx By method of partial fraction, the integral can be evaluated when expressed as (x+1)…

A:

Q: Given: A = 0.6 – j0.4 B = 0.5 + j0.8 C = 0.6 – j0.8 D = 0.5 + j0.4 Evaluate: (c+)/ log. (3B) (cos…

A:

Q: d Prove that x" Jn (x)] = x" Jn – 1 (x) %3D dx

A: prove

Q: Find the equation of the tangent plane at the point a = xo = 4, y= yo = 1 of the surface z = f(x, y)…

A: Given z = f(x, y) = xyex+y

Q: fa) a z n-> (2-4)스

A:

Q: 2-/2x+1 et F(x,y) = C be the antiderivative of f(x) = What is the value of C if x-3 and y-5? 3-2x se…

A:

Q: An electronics company produces transistors, resistors, and computer chips. Each transistor requires…

A: Given that, One electronic corporation, according to the problem specification, manufactures three…

Q: y = y – e* ?

A:

Q: 3. Let F(n) = 9F(n – 1) – 24F(n – 2) + 20F(n – 3) with initial conditions F(0) = 1, F(1) = 5 and…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Compute the price of a 7.4 percent coupon bond with 15 years left to maturity and a market interest…

A:

Q: 20. Let A = (a;;) be a given (3 × 3) matrix. Form the associated (3 × 5) matrix B shown next: d12 B…

A:

Q: Solve the differential equation: y' - y = e-t ; y(0) = 1 A. y = -* C.y= * A. y = e - 3 C. y =et +e 2…

A: Given differential equation is y' - y = e-t ; y(0) = 1 As L{y'} = sY(s) - y(0)

Q: Given: A = 0.6 – j0.4 B = 0.5 + j0.8 C = 0.6 – j0.8 D = 0.5 + j0.4 %3D %3D Evaluate: log. (3B)]²(cos…

A:

Q: use bisection method to solve for one real root of sin x - x^3 = 0 on the interval (0.50,1) Absolute…

A:

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A: Given a graph with at least two vertices. We will show that it is not possible that all vertices…

Q: Consider the following system of differential equation, with time domain tE (0, I) =--e. (0)-0, (0)…

A:

Q: The shaded area A is the area under the curve of f(r) between r = T and z = 27. %3D A (a) Find the…

A: Given: fx=x2sinx2 To estimate the area A under the curve fx between x=π and x=2π, using the…

Q: Consider the following problem: Find two numbers whose sum is 23 and whose product is a maximum. (a)…

A:

Q: (b)Assume that f(x) is a function of the form -x-1; when -T < x <0 f(r) = when 0 <r < T Prove…

A: For the solution of the problem follow the next step.

Q: Prove that + J2 (x) + J, (x) = 0

A:

Q: Rewrite 3 sin(x) +1 cos(x) as A sin(x + 4) A =

A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into In solving for the antiderivative…

A:

Q: In a public key cryptosystem using the RSA algorithm, a user uses two prime numbers 11 and 17. He…

A:

Q: Describe the image of the line z = 1 + iy under the map flz) = sin z %3D

A:

Q: Leave your answer in exact form; if

A: Given,

Q: Use the limit comparison test to determine whether each of the following series converges or…

A:

Q: Suppose a manufacturer and its retailer face the problem of double marginalization described in my…

A:

Q: Solve for x in the equation 2 + log, yi = e2 – j2 X= type your answer..

A: Solution :  Given that    2 + log2yj = e2x - j2