3. A farmer has 6000 m of fencing and wishes to create a rectangular field subdivided into four congruent plots of land. Determine the dimension of each plot of land if the area to be enclosed is a maximum.

Q: 30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a).…

A:

Q: ng expression:

A:

Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: Find the median of 65 70 65 62 64 73 67 60 50

A: Follow the procedure given below.

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

A:

Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

A:

Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: (x2+1) з xp x 0

A:

Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: Use the integral test to determine which of the following diverges. Α.Σ. ke k k=6 1 Β.Γ. Έk? +1 k C.…

A:

Q: f arctan y dy 3 f

A:

Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: along the line AM WI a magnitude of midpoint of the vertical side OB of the parallelepipe Express F…

A:

Q: Find the number in the interval [0,3] such that the difference of its square from its cube is the…

A: Given problem:- Find the number in the interval [0, 2/3] such that the difference of its square from…

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

A:

Q: Find f(t). ℒ−1{(2s + 7) / (s2 + 8s + 65)}

A:

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: For the function z = = f(x, y) = x² − xy² + y³, find the equations of the tangent lines in both the…

A:

Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Consider the following. f(x)={-2x - 4x + 3, x≤ 4 X > 4 Find the x-value at which f is not…

A:

Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

A:

Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

Q: A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material…

A: Given problem:- A cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup.…

Q: Find the point(s) on the surface y2-xz = 4 that are closest to the origin and find the minimum…

A:

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

A:

Q: (D4 - 1)y = 7x².

A:

Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

A:

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

A:

Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: Let's solve.

Q: Given f(x) = x² sec x, find f'(x). Ox² cos x + 2x sec x O x² secx tan x + sec(2x²) O 2x sec x tan x…

A: f'(x)=x2secx'         =x2'secx+secx' x2        =2xsecx+secxtanxx2

Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

A:

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: *y=(2x^2+6) find dy\dx 4x\(2x^2+6) O 6x O 4x\(2x^2+7) O

A:

Q: f(x) = = 250 x1.40

A: As we know that; The Power Law: ddxxn=nxn-1 And a·f'=a·f', where a is constant.   The given function…

Q: A transportation company sells 2000 bus tickets per day when the price is $10 per ticket. They…

A:

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A:

Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

A:

Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

A:

Q: Which of the following five series n+1 1 Σ nvn n=1

A:

Q: 2 z² +4 lim z 2i 2z²+(3-4i)z-6i

A:

Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/ u.…

A:

Q: Q1) L-1 s(s²-1) = a) cosht-1 Q2) The general solution of y"" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x…

A:

Q: 2x³ − 45x² + 300x + 6 has one The function f(x) = 2x³ local minimum and one local maximum. This…

A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

A:

Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…