Find the extrema of (x+1)(y+1)(ax+by+c) Where a is the third last digit , b the 2™ª last and c the last digit of your registration number (arid)

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

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

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Q: Find the critical numbers of f(x) = x 3/5  (4 -x )

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

A: Suppose numbers are x and y then  xy=100    ....(1)

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

A: We have to evaluate the integrals

Q: A small island is 2 miles from the nearest point P on the straight shoreline of a large lake. If a…

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Q: Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3…

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Q: Find absolute maximum and minimum points, if they exist, of f(x)=x^3+x^2-X+1 on the interval…

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

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

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Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Let x be the distance down the shore where the boat is landed. t1= time to row to the shore = 52+x23…

Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

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: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: f(X)=X3+3x2-6 over closed interval (-2,5) what is the largest critical point?

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Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

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

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and…

A: Here, to write the other method to find the arbitrary constant of the differential equation.

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

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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: 1. Find non-negative numbers x and y such that x + y = 150 and ²y is maximized. 2. You are to…

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Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Let 'x' be the distance from point to the landing position. Given situation in graph is represent as

Q: 2. Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³. %3D (1

A: Given: 2.Let us consider the given curve equation, fx,y=7x-8y+2xy-x2+y3 -----1

Q: Find the coordinates of the maximum point. 4 In x +4 y=

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Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &…

Q: how many critical numbers does the funtion f ( x ) = | x 2 − 5 | have?

A: The graph of the function given below.

Q: X1 + x2 + X3 = 6 2х, - х, + 4х3 —D 12 2x1 (-Зх, + 2хz — Хз — —4 X3

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the next…

Q: How do you find the critical point of 1/x+3

A: To find the critical points (if they exist) for the given function

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: Find the values of x, y and z that correspond to the critical point of the function 2 = f(x, y) =…

A: The given function fx,y=4x2+8x+7y+3y2 To find the critical points of the function

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 area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

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

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Q: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: Con company has total costs cl) = 21000-1Sxt O.YxZ and total renenves iven by eco ミ345¢-0.^xて、find…

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Q: 1. Find the critical points forf (x) = x + %3D

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given function:                         y=ex-e-x The domain of a function is the set of input values…

Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…

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

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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: Find the critical numbers and the open intervals on 31 which the function y x-3x+2 is increasing or…

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Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: (i) Show that the line y = 2x – 2 always intersects the curve y = nx² + 6x -n at two distinct points…

A: To solve the problems

Q: find all the critical values (if any) of y=x square-root (x-2)(1-x)

A: We have to find all the critical values of y=xx-21-x.

Q: Find the absolute extrema of / (x) == -6x-4, on the interval (-2,4] 2. Find the critical number and…

A: From the given problem:   fx=x33-x22-6x-4 ; x∈-2,4ory=x33-x22-6x-4   Now differentiate the given…

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: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.