use Lagrange multipliers to find the maximum and minimum values of f(x,y,z) = 4y −2z subject to the two constraints 2x −y −z = 2 and x2 + y2 = 1.

Q: Write the general formula for the following alternating series in the form )(-1)"-'an- n=1 +.. 13 10…

A: Solution

Q: 2. Let R = {(x, y) : x, y E R}. Prove or disprove that R is reflexive, symmetric and/or transitive…

A:

Q: (a) Solve 36-1) = 10. %3D (b) Solve 2e'-2y = 3e³y+2

A:

Q: 8. Define a relation R on Z as follows: For all integers m and n, m R n → 2| (m – n). a) True or…

A:

Q: Two tugboats that are a = 145 ft apart pull a barge, as shown. If the length of one cable is b = 218…

A:

Q: 11 f(x) dx - 3 I f(x) dx = f(x) dx

A:

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: 7. Find the indicated partial sum for the indicated terms. a. 4+16+64+256 + ... 10 terms b. 30+…

A: Introduction: A series is the sum of the terms in a sequence, rather than a list of terms like a…

Q: Find the Taylor polynomials p1, .. P4 centered at a = 0 for f(x) = 3 cos (6x).

A:

Q: (a) (x+ y)dx+x dy=0

A: We have to solve the given differential equation (x+y)dx+xdy=0.

Q: 7. x= 132" D B. (5x + 11)

A:

Q: ective 3 – Medians and altitudes 1. Name 3 altitudes in the picture below. 2. Name 3 medians in the…

A:

Q: (a) Find the 5th order Taylor polynomial about a = 7 for sin x. (b) Use this Taylor polynomial to…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: Find the laplace transform of cos at using the formula L{f (t)} =| e-st f (t) dHencefind the laplace…

A:

Q: Q8: Find the first derivative at x = 2 for the function given by the data 1.0 1.5 2.0 3.0 Y 0.4057…

A: To find the first derivative at x = 2 for the function given by the data. x 1.0 1.5 2.0 3.0 y 0…

Q: 1) What is the greatest common factor of 9z and 6z? Choose 1 answer: A 3x 3x2 18 D. 182 54x2

A: Applying the definition of greatest common factor in solving the problem.

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

A:

Q: ne ship is approaching a port from the east, traveling west at 15 miles per hour, and is presently 3…

A:

Q: Publishing   The following table shows the results of a survey of 400 authors by a publishing…

A: Number of author = N = 400  possibility for An established author is successful = n  = 112

Q: 34. What is the volume of the composite space figure to the nearest whole number? The figure is not…

A: Solution:-

Q: QUESTION 10 A classroom of children are asked to indicate which Power Ranger is their favorite. The…

A: Frequency is defined as number of times something is observed.  Using this defination of frequency…

Q: um point(s) for y=sin 2x- cos. d be in ovprossed in rodians

A:

Q: Given the graph of the function, determine the equation. Hint: base function is f(x) = Vx 8 10 (0,…

A: Given is a graph of the function whose base function is f(x)=x   To Find: The function for the given…

Q: Solve the right triangle​ ABC, where C=90°.   a=77.7 ​yd, b=39.9 yd   The length of c is 87.387.3…

A: Given that  ∠C=90°a=77.7 ydb=39.9 ydc=87.3 yd

Q: 2. Find thé moving trihedral of the curve C traced by the vector-valued function R(t) 4 cost i+4…

A:

Q: dy Differentiate parametrically to find dx in terms of t: %3t2, y3 6t

A:

Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0.1x2 -…

A:

Q: Determine whether the series tan converges.

A:

Q: sin %3D

A: To solve the given first order differential equation.

Q: A series is defined by Sn = £?=1 5* (a) Find the first 3 terms of the series (b) Use the method of…

A:

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j+k.

A:

Q: 9. The zeros of the polynomial function f(x) = x + 4x-84x2-176x + 640 form an arithmetic sequen Find…

A:

Q: 7.1. What is T3(x), the 3rd degree Taylor polynomial for f(x) about -2? Let g(x) = X+1 7.1. What is…

A:

Q: 1. Given the functions f(x) = x + 3x + 2 and g(x) = x + 1, determine a simplified equation for h(x)…

A:

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: 5. Graph the function and find the domain and range. 10 1 x + 6 x < -6 x +4 -6<x < 2 f(x) = 4 5 --x…

A:

Q: (a) Joseph Flores is paid $452 per week plus a commission of 2% on ali sales. Flores sold $712 worth…

A:

Q: Consider the problem of minimizing the algebraic expression q given by q = V(z – 3)² + (y + 4)ª…

A: Given, q=x-32+y+42 Subjected to the constraint 4y+5+x2=0 Minimize q from Lagrange multipliers method…

Q: 1) (i) Prove that every sequence converges to every point in a space with the trivial topology. (ii)…

A: (i) Trivial Topology or Indiscrate topology:  Let X be a non-empty set. Now define a collection of…

Q: (a) Let L and L' be two lines in R3. L': X-1 = Y-2 = 2-5. Determine if the lines intersect at a…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: QUESTION 1 Antonio's is thinking of increasing the base price of their pizzas as follows: Size of…

A: Relative change in price of small pizza          = (7.50 - 6.00)/6.00           = 0.25 Relative…

Q: 1. Let P(r1, yı) be a point on the parabola r = 4py, p > 0, with focus F(0, p). Let a be the angle…

A:

Q: 26 28 28 26 28 28 29 26 29 e episodes Kelly watched! the episodes Kelly watched.

A:

Q: Let f:Z → Z be given by f (x) = 3x + 1. a. Show that f is one-to-one. 7. b. Is f onto? EXPLAIN.

A:

Q: Let n e N with n > 2 and let G, = (V, E) be the graph with vertex set V = {v1, v2, . . . , v2n} and…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: -3u Let z=sinh-(y-2x), where x = we and y3= dy3In then is given by ди OA -3u 6we 3u 1- (y-2x)2 В.…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned so…

Q: 4. This question asks you to find an integral using Riemann sums. Recall from lectures, that a…

A: We will draw curves for y=x2 . Then draw rectangle for right and left riemann sum to decide which…

Q: Find all the values of x such that the given series would converge. (9z)" 00 Σ n5 7=1 The series is…

A:

Q: Solve the following Initial Value Problem using Laplace transform: y′′−9y′+8y=e−8t ;y(0)=1,y′(0)=1

A:

Q: Let r (t) cos(20t) be the input to the transfer function G (s) 100 What is the scaler -10 %3D…

A: Solution