-ys2x²+x-1 1. _2. y2x²+3x-4, (-1,-1 3. y<-x²+2x , 4. y>2x²+5, 5. y>1-x+2x?, (1,1) (0,1) (1,10 (5,1)

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

Q: A trailer manufacturer has multiple products designed to be towed by a pickup (Ford F-150, Toyota…

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is 45441 and the variable…

Q: Find two numbers such that their difference is 5 and their product is minimum.

A:

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: 1+ In x critical point of y =

A: Critical points are found when the first derivative of the function is equal to 0 or when the…

Q: 15, Find a) fxedx b). dx using the substitution of x- cost.

A: We have to evaluate the integrals

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² +…

A:

Q: A method for finding the maximum or minimum value of a quantity that is subject to various…

A: Given: A method for finding the maximum and minimum value of a quantity that is subject to various…

Q: To graph 1) Start at y-int ( 1 point) 7)Graph fx) = -x + 1 if { x > 1} -2x, if { x<1} 2) Apply slope…

A: graph

Q: to sell 42 tick

A: Given as, Flight Capacity 40 Each ticket cost 4000 Flight Occupancy 95%

Q: How to find the minimum value of y for the  equation:  5.79702sin(0.009055x) +8.499779

A:

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 5x² +…

A:

Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

Q: Differentiate: y = v 6x – 8x3 O y' = (3 - 12r²) /6x – 8x³ %3D O y = 6-24z2 %3D V 6z-823 3-12z2 O y'…

A: The given function is: y=6x-8x3 Let u=6x-8x3 So, y=u

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: A wire of length 34 m is divided into two pieces and each piece is bent into a square. How should…

A: Let the sides of the two squares be x and y.  The area of a square is given by Area=(side)2 Thus,…

Q: 1-у у-т т-li y – m m– l l-y|=0 |m – l 1-у у- y – |

A:

Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: Find two positive numbers with product 256 and whose sum is a minimum

A:

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

Q: ve test to identify any critical points a these. -2 – 6y² + 12x - 36y – 87

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

Q: x maximum point of y х — 2 4, - 2/2 0,0 03 - 3 2 4, 2/2

A: To find: The maximum point of y2=x2x-2. Concept used: Consider the point  x=c is a critical point of…

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: Suppose (0, 2) is a critical point of a function, with continuous second derivatives. In each case,…

A:

Q: х2 + 5х —4 minimum point of y х — 5

A: The point of minimum can be obtained by differentiating the function and equating it to 0. The…

Q: Suppose the marginal cost of producing x units of a product is given by: MC=30 Square root (x+4)…

A: Given, Marginal cost is MC=30x+4 where x is units of product. Marginal Revenue is MR=900 Fixed cost…

Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have…

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

A:

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and 4 = 1…

A: Given, Illustration: x=10 tentsdxdt=1 tent per day Let, a be the number of additional tents and y…

Q: Find y' where y = (tan(18z² +5)) / 18z3 +14 Answer: 54z2 O v' = sec2 (36z) /1823 + 14 + tan(182² +…

A:

Q: 4 Find the distance between u = -3and z= - 1 8

A:

Q: Graph Y = In(x - 2), show critical points, where graph crosses the "X" & "Y" axes.

A: Consider the provided question, Given, Y=lnx-2 First we need to draw the graph.

Q: What are the 2 critical values of the The function f(x)= 2x^3-21x^2+36x-8

A:

Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

A:

Q: In Gaussian elimination procedure, constants which is augmented for first time with second s are…

A:

Q: the number and its reciprocal.

A: Given: The smallest sum of a number n and its reciprocal 1n is 2 which occurs when n=1. Any other…

Q: The mean of 5 positive integers is 16. What is th maximum value that one of this numbers may have?

A: Given problem is :

Q: The average reading score on certain tests is given by y=0.152x + 255.33, where x is the number of…

A:

Q: 1- Genx :1 CSCX 2 CSCX=1 senx CSCX = I CSCX = 2 %3D 2- Cotx = 3 tanx= 3J3 3. 3 tanx = Cotx 3. 13 353…

A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: 6-3z+10z² 1 lim Z→1 -2z4+7z3+1 t-V3t+4 .2 lim t 4 4-t

A:

Q: Find the root of the equation fx=In(x)-5+x in the interval [2.5, 3.8] using Regula Falsi method. Use…

A: The given function is fx=ln(x)-5+xThe interval is 2.5, 3.8To find root using Regula falsi method

Q: A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed,…

A: Given that a critical communications relay has a constant failure rate of 0.1 per day. Once it has…

Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…

Q: Find the values of a, y and z that correspond to the critical point of the function f(r, y) = 5x² –…

A: Given function fx,y=5x2-4x+8y+3y2

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

A:

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.

Q: Find two positive numbers with product 256 and whose sum is a minimum.

A: