Consider the vector field F H (3x + y)i + (2xy)). (a). Verify that F is conservative. (b). Find a potential function f such that Vf = F. (c). Let C be the path shown in the figure at right. Compute the work done by F moving a par- ticle along this path C. [Note that C is made up of line segments and a circular arc.] -4-3-2-10 B 1 2 3

Q: 29 T What is the equivalent degree measure for an angle that measures 18 ? A 290° B C D 29° 522°…

A: 29π/18 here angle is in radian given  we have to convert it into degree angle in degree = (angle in…

Q: (e) x² - 4x+4 <0

A:

Q: 3 1. Show that x - 3x + 1 = 0 can be arranged to give the formula: -1 X = n+1 (x-3) Using a value of…

A: We can solve this as follows:

Q: 18-20. Reler to the illustration below: One of your dreams is to have a new cell phone. You went to…

A: To find available cell phones from which we can choose.

Q: Name: ID Time Remaining: 00:00:22 个 THOMPSON7688 Sylena Y-Desha Thompson Mas-Garcia José sets up…

A: Given:        Number of hours Jose working today =6 hrs        Jose percentage of job completion…

Q: 2. It is the set of possible outcomes in every experiment. A. Probability B. Space 3. It is an event…

A: 2.Correct option (c)

Q: Esther earns money by mowing her neighbor's lawn. The relationship between time worked and money…

A: Given problem:-

Q: True/False Questions ( 1. If the "Primal" objective function is a "maximization" problem, then the…

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: The graph of y=tan(4x) is shown below. What is the period of the function?

A:

Q: Let us now consider the cross product of two general vectors A and B which are expressed in…

A: The vectors A and B can be represented in Cartesian form as A=Axi+Ayj+AzkB=Bxi+Byj+Bzk

Q: Solve for x. O 27 O 22 09 04 3 √x + 5 = 3

A:

Q: 个 THOMPSON7688 Sylena Y-Desha Thompson Mas-Garcia José sets up computers. He has been working on a…

A: Given :Jose has been working on a job today for about 6 hours.He completed 75 % work

Q: please

A: Please refer to the image below

Q: What number should go in the gap below? 16 x 21 = (16 x 3) ×

A:

Q: 5. Consider the following model of a competitive labour market where both firms and workers have…

A:

Q: Graph the inequality subject to the nonnegative restrictions. 12x - 30y > 1800, x ≥ 0, y ≥0 Use the…

A: This question is based on graphing an inequality.

Q: Suppose that the functions and g are defined as follows. f(x) = -2x+5 g(x) = √3x+2 Find f-g and f…

A: Given that fx=-2x+5gx=3x+2To find :f-g and fg and their DomainSolution :fx-gx=-2x+5-3x+2Domain of…

Q: = [a b] and B =[2³]. a. Compute AB. b. If AB = 1-5₂ 1. Let A = find the entries of A, i.e. find the…

A:

Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

A:

Q: h = 3 sin[30 (t - 4)] +5 O 1.5m O 5m

A: at 5 pm , t = 5

Q: Where is the center of the hyperbola represented by the following equation? (x-1)² (v + 5)² 25 49…

A: topic- center of hyperbola

Q: Drinks were sold to men, women, and children at a school basketball game in the quantities and…

A: Here we have to find the total money spent by men, women, and children.

Q: Prove the A.B = B.A.

A: To prove AB = BA.

Q: Given a fair die and a fair coin, what is the probability of rolling an even number and getting…

A: Given that a fair dice and a fair coin is tossed. We have to find probability of rolling an even…

Q: Rewrite the following as an exponential log 100,000 = 5

A:

Q: why is it -d +e -f and not +d -e +f?

A:

Q: Suppose you are determining the growth rate of two species of plants. Species A is 25 cm tall and…

A:

Q: PROBLEM NO. 5 GIVEN: 9 3 -6 60 A:b= -2 -4 8 4 USING LU FACTORIZATION (ROW OPERATION), DETERMINE THE…

A:

Q: [c] Use the formula you found in part [b] to find the shortest distance from the point (2, 3, -1) to…

A:

Q: Find all the values of x such that inequality ( 2 - a)x3  + (1 - 2a)x2  -  6x + 5 + 4a - a2  <  0…

A: Concept: Inequalities: Both the equations and inequalities are mathematical formulations made up of…

Q: ice cream was marked for sale at $0.39 for a pint and $1.09 for half a gallon. Marvin wanted to buy…

A: We have to find the money saved by Marvin.

Q: The graph of a linear function is shown. 5 4 Wh

A: as x increases y increases therefore slope is positive

Q: 4. Set notation Interval notation -6 -4 2 4

A:

Q: Suzanne reflects a given function in the x-axis and then reflects the result in the y-axis. Her…

A: This is a problem related to linear transformation of the graph. Based on the general formula and…

Q: 10x) h(x) K What are the approximate solutions to the equation f(x) = h(x) ? A x = 2 B x=-2 and -1.5…

A:

Q: ů What is the angle from the horizontal line of the observer to the object being observed below? A.…

A: Given problems:-

Q: Find eigenvectors for each eigenvalue (-3,4) of A: 2x2 matrix below 3 2 3 -2

A: Given, A=323-2

Q: 1 RA-(273) A= 1 2 and B = 3 2, then (AB)T is equal

A:

Q: For the given matrices, find (AB)-¹ 2 5 4¹-[²8] B-1 7 6 B) A) 35 10 4 17 35 17 4 10 -3 2 0 C) 4 17…

A: We know for two non singular matrices A and B , AB-1=B-1A-1

Q: Find a and b so that the function is both continuous and differentiable. a= b f(x) = (8x³-4x² +3, x…

A:

Q: A) Find the measures of the angle between the diagonals of the rectangle whose vertices are:…

A:

Q: What is the equation of a parabola in vertex form with vertex (-5, -9) and directrix y = -13?

A: The parabola has vertex -5,-9 and directrix y=-13

Q: b. What will the total distance traveled by the snail be in 7 hours?

A:

Q: Equations must be used for all answers. No Equations will result in no credit. 1. A runner begins…

A: If we consider an arithmetic progression series with first term a and common difference r. Then nth…

Q: A 24-m ladder leaning against on the top of the wall with angle of elevation of 30 degrees. Then the…

A:

Q: The sum of the first n three-digit positive integers = Check all the correct answer/s. > 0 47 -100…

A:

Q: A company manufactures dog leashes that sell for $20.74, including shipping and handling.  The…

A: We have to find how many leashes must be produced and sold each month for the company to break even.

Q: a) In a glass silica fiber (with cladding), the refractive index of the core is n₁ = 1.452 and…

A: Given

Q: Question 22 A sequence of the form a, ar, ar², O Geometric Progressions O Arithmetic Progression O…

A: You must have an idea about series to understand this properly.

Q: Hannah can paint a room in 9 hours. destiny can paint the same room in 15 hours. How long does it…

A: