Let A be the point with coordinates (3, -7, -2), let B be the point with coordinates (1, -9, -4), let C be the midpoint of the line segment AB, let D be the point with coordinates (1,0,0), and let E be the point with coordinates (0,1,0). Let II be the plane passing through the three points C,D,E. Suppose that the line x=y%3Dz intersects the plane II at the point P. Write down the first coordinate of P.

Q: The equations that must be solved for maximum or minimum values of a differentiable function w = f(x...

A: Given function is: fx,y,z=x2+y2+z2 To find the maximum and minimum value of the above function under...

Q: Find the values of b and c for which the matrix 2 -1 | A =-1 3 b has [1 0 1]" as an eigenvector. For...

A:

Q: 1. Evalute the improper integral 3x dx. J ' 1+ x² -1

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

Q: max Z = x1 + 3x2 + 5x3 4.x1 + 3x2 + 6x3 0 Say we use x4, X5 as slack variables for the first and se...

A:

Q: Consider the following: The universal set U is the set of whole numbers from 0 to 14. If set A = {ev...

A:

Q: Using a Table of Integrals with the appropriate substitution, find + 5e2 + 9e dx Vezo – 64 Answer:

A:

Q: dr Solve: de +rtand = cos? 0; r() = 1 r (플) =D1

A:

Q: Q1​The difference between Compound Interest and Simple Interest on a certain sum of money at 10 % pe...

A: Find the attachment for the Solution.

Q: What is the Cover problem in Integer linear optimization?

A: This is a problem of Integer Programming.

Q: The point P = (,S,0) 4 coneT uhere Ia लिगो Cone (7) Slricty. WHite a hypepla- Hthat seporates p and

A: We will be solving Q(8) as mentioned. The given set is T=2,1,1,1,2,1,1,1,2 and the the point is p=0,...

Q: anspose each matrix 1-23°

A: The matrix A is given as  A=1-2378-9 The transpose of A is given by changing rows into columns and c...

Q: would in algebra by multiplying by LCD . Factorise where possible and simplify. • End your proof wit...

A: To Prove-  1 - cos 2x = tan x sin 2x cos2x1 + sin2x = cosx - sinxcosx + sinx tan2x = 1 - cos2x1 + c...

Q: Question 2: Determine the EXACT solution of the system given below using any method discussed. 5х — ...

A: We can solve this using Gaussian Elimination with Back Substitution 

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

A:

Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Introduction: The family of orthogonal trajectories of a given curve y=fx is the curve gx,y=C which ...

Q: (a) S' = {z = a + bi e C|a, b € R, |2| = a² + b² = 1} is a subgroup of C*. (b) SO2(R) = {| cos e - s...

A:

Q: the set of all positive definite function p(R) is a conver cone.

A:

Q: 5. Consider the homogeneous case of the linear third-order Cauchy-Euler ODE, L[y] = a3x°y" + a2x²y" ...

A:

Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

A: To solve the below system of equations. 52x+67y+46z=17567x+73y+54z=19446x+54y+65z=165

Q: 1. Suppose that f2(x) is a measurable function. Is it true that f(r) is measurable? Prove, or give a...

A:

Q: Let and X E R". Angw that 2. rso the felbeuning i alosed i k". Br (x) = {y :/lx -yll sr

A:

Q: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients)

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is eq...

A: 1tanx·cosx·cscx=cot2x

Q: Use the mean value theorem to show that |sin a – sin b| < |a real values of a and b where a + b

A: let f(x)= sin x f is continuous  on [a,b] and differentiable  on (a,b) Therefore there exist  c such...

Q: * 00 %23 Convert 243 to base 5. ncements O 933 five 9, sn 243 five ules O 1433 five ent Instructiona...

A:

Q: A company invested $33,500, putting part of it into a savings account that earned 3.6% annual simple...

A: Total amount = 33500 dollar, Savings account interest rate = 3.6 % and stock fund  interest rate= 12...

Q: Evaluate the integral S de using the two-point Gaussian quadrature rule

A: For the integral I=∫abf(x)dx, the Gaussian quadrature 2-point formula is,I=b-a2w1fm1+w2fx2where  x1=...

Q: Use Euler's method to approximate the solution of the following initial-value problem at t = 1: y' =...

A:

Q: How large should we take n in order to guarantee that the Trapezoidal Rule approximation for 6 5x*dx...

A:

Q: Find the solution of the equation =e* cos y which tends to zero as x → 0o and has the value cos y wh...

A:

Q: Problem 3. (a) For invertible matrices A, B E R"X", show that ((AB)")-1 = (A-')"(B-')". (b) Let A, B...

A:

Q: if L(e3t) = then L(S, e34 du) is. S-3

A: Formula:  If Lft=Fs, then L∫0ufudu=Fss. It is given that Le3t=1s-3. By the formula, L∫0ue3udu=1s-3s=...

Q: [6 Let f(x) = |r| be approximated by sN(x) = }a0+E (an COS (") + b, sin (7). %3D n=1 Determine the c...

A:

Q: Arcata, on the northern coast of California, is a small college town with a central plaza. Figure 1 ...

A:

Q: Use Newton's (or the Newton-Raphson) method and find p2 with po = 0 for f(x) = x. I+1 43 3

A: Given function is fx=2x+1−x and p0=0. We have to find the p2 by Newton's Raphson method. The Newton ...

Q: problem SOIUTION: а. у" — Зу" +y'+ 5у %3D 0, y(0) = -1, y'(0) = 1, y"(0) = 0 %3D %3D

A:

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

A:

Q: A16.2 Write down the function f(x) for each of the following graphs. In the first example assume tha...

A: To determine the equation of the given graph.

Q: x²+3X -10 しim X-5 Sin (x+5)

A: Introduction: The limit of a function is a value to which the function moves as the independent vari...

Q: Write the first five terms of the sequence, give the exact answer: n n +1 [ n=1 Determine whether th...

A: Let us consider a sequence ann=0∞  then a1, a2,...... are the terms if the sequence  The limit of th...

Q: 10 people( consist of male and female ) seating in a table with 10 chairs, in how many ways we can c...

A: The total number of ways arranging 2 people at any of the seat is as follows:

Q: The electrostatic potential generated by a distribution of electric charge in R with density p: R³ →...

A:

Q: The formulas A →(B ∧C) and (A →B) ∧(A →C) are logically equivalent. For this problem, you are going ...

A: This is a problem of the Propositional Logic.

Q: 10.1.7 Given paramelric equations and parameter intervals for the motion of a particlo in the traced...

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in t...

Q: find the solution set of:  a+b+c+d=1 a+b-c-d=1 and write the answer as a vector  please explain ...

A:

Q: (D² +D-1) y=0 ,when x= y= 0.y'= y" = 1 , y" = -1

A:

Q: (с) 4у" + у %3D 4 sin(3x/2), for 0 <x <л, У (0) %3 0, у(л) — 0

A:

Q: Sonia made a venn diagram to classify and show relationships between quadrilaterals

A:

Q: Gamma Functron 1. Find (5. 2 ) Answer: 32.5781. r (4.5) P (415) - 0.06 010537 1.6317

A:

Q: verify that y=x/x+4 and y=x-4/x are inverses of each other using inverse function property.

A: