Find the symmetric equations for the normal line LN to the surface S:f (x,y) = 5VT +y? at the point (3, -4, 5) r2 O LN:3 - - %3D O LN: = = y14 %3D H-3 %3D O LN: - 4 - %3D OLN: - - ri3 %3D

Q: What are the points in an elliptic curve y2=x3+ 12345 x + 23456 (mod 23459) at x=1? Use one of those…

A: As per the question we are given the following modular elliptic curve : y2 = x3 + 12345x + 23456…

Q: x² +y² = 25from x = 2 to x = 4. Find the length of the arc of the circle

A:

Q: The volume produced by revolving about the x-axis the region above the curve y= x° below the line y…

A: To find  The volume produced by revolving about the X-axis the region above the curve and below the…

Q: 1. y"+3xy'+3y = 0

A:

Q: Find the Fourier Series Expansion of the following periodic functions.

A: Given function is f(x)=x3, 0<x<c Let the Fourier series be…

Q: 9. Interval 0 < x< T; function, f(x) = cos x COS X

A:

Q: 2. A chemical manufacturer produces three chemicals: A, B and C. These chemicals are produce by two…

A: Let the process A runs for x hours and process B runs for y hours the objective function is…

Q: Which of the following is a convergent p-series? Select all that apply. 1 n =1 7" 4 Σ n =1 n? 2 E…

A:

Q: f (t) = tcos3 3t dt 0, e-4t

A: Given: f(t)=∫0∞tcos33te-4tdt To find: Value of integral using Laplace transform.

Q: Justify whether the following sequence {an} and the series an converges. If yes, find its limit. (a)…

A:

Q: 2. f(t) = V1+ sint + (7t)4 + sin 2t %3D

A:

Q: After verifying that the power series method applies, find the general solution (to 5 terms) using…

A:

Q: Use Power Series to Solve the following Differential Equations y' - x² y = 0

A: To find the solution of the differential equation by power series method, we first consider the…

Q: 5: F(s) = (+2s+1) +7

A:

Q: Suppose that {an} and {bn} are Cauchy sequences of R. Show that each of the following sequences is…

A:

Q: Let f(x) = log, (x). %3D Select all the correct g(x) functions such that f (x) is O(g(x)). g(x) = x

A: These problems following by carefully applying the definition of the Big O notation. The typeset…

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A:

Q: Choose two figures which are topologically equivalent to each other

A: Since first two figure are bounded and connected but not others. So they are topologically…

Q: 3. Let f : (R\{0},-) (R\{0}, -) be group homomorphism defined by f(a) = |a|. Then ker(f) %3D =...

A:

Q: Suppose A E Mn(R)and B. Find the eigenvalues of B = LA A in terms 2A] of the eigenvalues of A.

A: Given that A∈MnR and B=0AA2A. We have to find the eigenvalue of B. The eigenvalues of the matrix B…

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t

A:

Q: The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real…

A:

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: The data given is -   New Authors Established Authors Total Successful 12 56 68 Unsuccessful…

Q: Can anyone help with the following? Is there a simple graph where the degrees of the vertces are as…

A:

Q: Let G=Sg. 14 xy= 0 for XiyE 4G, would if X=0 or y=o hoppen! 4 true, prove it l4 true, prove it;…

A:

Q: Instruction: The given problem below has been solved for you. Your job is to check the answers for…

A: We will check the value of  function given in the integral , and at end find actual integral needed…

Q: Determine the vector field of F. F(r, y) = 4i – 2j

A: To determine the vector field F .

Q: Which of the following series diverge by the nth-term divergence test? Select all that apply. 1 Σ n…

A:

Q: Prove that T is the discrete topology for X iff every point in X is an open set

A:

Q: 2. Is the graph below a tree? Why or why not?

A: To identify given graph is tree or not

Q: Determine whether the series converges or diverges. If the series converges, find its sum: 1 n+1 Σ 5…

A:

Q: Ifan is an even number, show that a2 = 0 (mod 4), and if an is an odd number, show that a2 = 1 (mod…

A:

Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

A:

Q: By using triple integrals, find the volume of the solid G bounded above by plane 2x+y+z=6 and below…

A: Given plane is 2x+y+z=6 and z=1. We have to find the volume of solid G bounded above by plane…

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t) f (t) = v1+ sin t + (8t)15 + t² cos 3t %3D

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: The graphs of the function f (r) = 7-z and g(z) = 3 are given below. 10 f(x) 7-x2 5. 4- g(x) = 3 -1…

A:

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: (1+4x² )y"-8y = 0

A:

Q: Let C be the line segment on the xy-plane from (-4,3) to (1, –9). (a) Evaluate 2лy dy. (b) Use a…

A:

Q: 4. Give an example and a proof to not increase intrinsic distance.

A: We have given statement that Local isometries can shrink but not increase intrinsic distance. We…

Q: y1 = -Y1

A:

Q: mg table Average Remaining Lifetimes for Men Age Years Years Age Years 74.0 65 16.6 15 60.4 75 10.1…

A: consider the table as follows x y x-x y-y x-x2 y-y2 x-xy-y 0 74 -38 33.22 1444 1103.568 -2812…

Q: Use the Babylonian's formula to calculate the area of a circle with diameter of 12 units. 1.1…

A: Babylonian's gives the Area of circle = 3r^2 where r is radius of circle.

Q: Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Two parallel…

A: which of the following statements is/are a restatement of euclid's fifth postulate? i) two parallel…

Q: The complex number z is defined by z = 3.z + 4·j where z is real. a) Find, in terms of æ, the real…

A:

Q: 1. Determine whether the series 2 is convergent or divergent. If it's n=1 e"+1 convergent, find its…

A:

Q: Let A and B be any two subsets of a metric space (X, d). Then (1) A is a closed set. (2) If AC B,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5. Let V be a vector space of finite dimension n and let U be a subspace of V with dim(U) = m. a)…

A:

Q: 2 The half range cosine expansion of f(t) = t +t, 0<t<1 is 5 f(t) 2 2 + [2(3(– 1)" –1)] cos…

A: