The function fox) = 3 x4-4 x3-12 x2+1, is decreasing on the interval (-∞,-2)U(0,2) .A (-1,0)U(1,∞) .B (- 0∞ , – 1) U (0,2) .C (-1,0)U(2,0) .D

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A: We have to find the  maximum of the function: The given function is f(x)=-x4-2x3-8x2-5x a. Using…

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A:

Q: b) Minimize the function f(x) = 4x + x²– 7x + 14 by using the Golden search method, in the interval…

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=…

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A: Here The formula for the linearization is Here a = 0 Therefore,

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Q: 4) B. Let A = {u, v, w}, B = {x, y, z}. Determine whether the relation R = {(u, x), (v, z), (w, y)}…

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A: y=2(x-1)(x+5) first multiply (x-1)(x+5) =>(x-1)(x+5) =>(x^2 +5x -x -5) =>(x^2 +4x-5)

Q: ¸(1+ h)² −1 lim h→0 h using the squeeze Theor

A:

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 2. The function f(x, y)=…

A: We have to find degree of homogeneous function

Q: [2] Show that the functions f (x) = 4x" , and f,(x) = x*+* linearly independent (-00, 00). are on

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Q: Find the horizontal asymptote of f (z) = 8z-822-240z 3z-3z2-60z Section 3.4 Oy = %3D Oy = 4 Oy= Oy =…

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Q: find the linearization L(x) of ƒ(x) at x = a.ƒ(x) = sqrt(x2 + 9), a = -4

A: Given function is, fx=x2+9, a=-4.   The objective is to linearize Lx of fx at x=a.   It is known…

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A: Hello. Since your question has multiple part, we will solve first question for you. If you want…

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Q: 5. (a) Make a tree diagram for the chain rule for f(x, y, z) = x²y² + y²z² + x²z², x = rt, y = r²t³,…

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Q: (b) Integrate the function f 1 dx by using substitution and partial fraction. x(2x -1) Hence, show…

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Q: Prove that the function : R-{1} →R- {2} defined by 2a f(x)= s bijective. 2 1

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Q: find the linearization L(x) of ƒ(x) at x = a.ƒ(x) = (x)^1/3, a = -8

A: Given :                 f(x) = x13  , a=-8        Linearization of function is given as :…

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Q: 2. Suppose that /(x, v) is a continuous function of two variables such that each of the first and…

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A: As per the question we are given a quadratic function in four variables as : (1/2)xTGx + bTx Where…

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Q: 12. Show that F (x, y, z) = xy +xz + yz has the value 1 if and only if at least two of the variables…

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A: Given: dydx=2x-3y+1, y(1)=6 f(x,y)=2x-3y+1, x0=1, y0=6, h=0.1…

Q: Find the Wronskian of y = 2x + 3, y2 = x² + 3x, and y, = 1 -1. Use the result to determine if the…

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: find the linearization L(x) of ƒ(x) at x = a. ƒ(x) = 3√x, a = -8

A: Given function is fx=x3 Linearization of function is given as: Lx=fa+f'ax-a At a=-8 f-8=-83=-2…

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A: 1.a) Given fx=e-x, gx=coshx, hx=sinhx. To check if they are linearly independent using Wronskian.

Q: -Find the least squares approxtmation polynomial of degree two for the continuous function f(x), (x)…

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Q: (ii) Show that the quadratic function f(x)=x" Ax+2b"x+c with A = AT E R²x",bER",c ER is strongly…

A: Sol

Q: 1. Let r1, r2, ., xk be a collection of non-negative integers such that r1 + x2 +.. + ak = n. Find…

A: let M be the foot of the line that passes through the point P(x1,x2,x3) and intersect the plane…

Q: 1 If f(x, y,z)= of then x- y- 3z ду

A: Differentiate wrt y.

Q: (3) The domain of the function z = ln(1 - 2² - y²) is ( (A) {(x, y) = R²|r² + y² 1} (4) Suppose…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.