III Locate the possible y = x³ + 6x² + 9x max and min points and pt/s of inflection

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: X~N(22,3) find maximum of x in bottom quartile

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Q: 4. Find the orthogonal trajectories of the given family of curves. y = cx'.

A: Solution:-              y=cx3 →          1              Diff. w.r.t x            ⇒dydx=3cx2…

Q: 1. Find the orthogonal trajectories of the family of curves x? + y2 = cy.

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Q: Determine ? such that ?′′(?) = 12? − 1 and 1 is both a critical number and a y- intercept of ?.

A: A differential equation is an equation in x,y and derivatives of y.  A linear differential…

Q: Perform two iterations of the Steepest Descent method to minimize the function…

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Q: Find the equation of the normal line (NL) to the graph f(x)=x³ – 4x atx = 3 .

A: We need to find derivative.

Q: Find the length of the curve /- y = Vcos 2t dt from x = 0 to x = "/4.

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Q: Which is the linear differantial equation into which the Bernolli differantial equation transforms

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Q: # 13) Find two positive numbers x and y for which 2x +y = 30 such that xy² is maximized.

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Q: Mr Banda is consuming products A and B optimally and deriving total utility of 10 utiles. When his…

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Q: 4) Find the orthogonal trajectories of the family of curves

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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 the orthogonal trajection of the family of curves x2+y2=a2

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Q: 7  please answer, type the solution if you can please. or write clearly

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Q: Maximize z= 4x +3y エ+5y S 25 4x + y < 24 Subject to Maximum is Preview at Preview Preview VI VI ALAI…

A: Draw the given constraints to find the feasible area.

Q: 10, 6J. the Midpoint Rule with timate the folllowing. IL x. v) da How could you improve your…

A: As m=n=2 Therefore let us take the subintervals as: 0,3 and 3, 6 The midpoints od these subintervals…

Q: I Find all Max., Min., saddle point for the functions below: f(x,y) = x²y³ - 2xy +6

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Q: 1. Given y = x3 - 3x2, determine the: a. critical values, b. intervals of increase/decrease, c.…

A: See the explanation below

Q: Find the second iteration value of an extremum (maximum/minimum value) of f(x) = 5sin2x - bx2 - cx…

A: Given the function fx=5sin2x-2x2-4x. The initial guesses are x1=0, x2=1, x3=1.5. The Quadratic…

Q: Find the orthogonal trajectories of the family of 1 curves Y= X + k

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Q: Given n1=10, n2=14 find F-Critical value

A: F critical value is a specific value to compare the F calculated value. if F critical value &gt; F…

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: Identify all local extrema and saddle points of f(x.y) = 80x + 80y - x - y %3|

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Q: 2. Locate all relative maxima, relative minima and saddle points (if any) for f(x, y) = 1 – x² – y?.

A: The objective is to locate all relative maxima, relative minima and saddle point  (if any)of the…

Q: 4. Find the orthogonal trajectories of the family of parabolas with vertices at the origin and foci…

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Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

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Q: Find the orthogonal trajection of the family of curves x2+y2=a2

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Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

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Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: Find and classify the critical points off (x) = 6x°(5 – x)° as local maxima and minima.

A: Given that f(x)=6x55-x6 First let's find the extreme points, f'c=0 Take the derivative for f,…

Q: 2. Find the orthogonal trajectories of the family of curves x2 + y² = 2my where m is a constant.

A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…

Q: 27. Find the length of the curve Vcos 2t dt y = from x = 0 to x = "/4.

A: The given curve is We know that by Second Fundamental theorem of calculus ,if F(x) is continuous on…

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: Find local max min and saddle points of f(x,y)= x^3-3x+3xy^2

A: Given function is f(x,y)=x3-3x+3xy2

Q: 4. What is the maximum possible error if T4 is used to approximate | f(x) dx f(x) dx

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Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

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Q: C(x) = 1500 + 13x – 0.1x2 + 0.0005x3. - %3D Find the marginal inal cost finctien?

A: Given query is to find the marginal cost function.

Q: 5  please answer, type the solution if you can please. or write clearly

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Q: 5. Derive the least square equation for fitting curve of the type b (i) y=ax += (ii) y = ax to a set…

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Q: y у%3D х* + 8х — 1

A: Second derivative test to Find Maxima and Minima : Firstly , we can find critical points , f'(x) =0…

Q: Find all Max., Min., Saddle point for the functions. below: f(x,y) = x²y²-2x9 +6

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Q: 11. Locate the Critical points and determine the maxima & minima of y = 2 + 12x – x3. 12 Looate the…

A: Given, Function, y=2+12x-x3To find: Critical points                 Maxima and Minima     As per the…

Q: The fourth interaction when the positive x-intercept of the y=f(x) is approximated by the interval…

A: As per the question we are given the graph of the function y = f(x) and the statement : "The fourth…

Q: 4. Find and classify all six critical points of f(x, y) = 3x – a³ – 2y2 + y*. Write your answers in…

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Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

A: In this problem, we have to find the two numbers "x and y"

Q: Find the critical points/max/mins: Of the curve: y=2xln(x)-x2

A: I am attaching image so that you understand each and every step.

Q: 2. For the curve y = x3 + 2x² + 4 a.Solve the normal line at point (-2,4) b. Locate the possible…

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Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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