H=[5,X1,7,3,X2] A. size(H) B. descend (H) C. prod(H) D. H(1)=(X1) E. H(2:4)=[]

Q: Find the line of best fit for x: 2 2 68 10 y: 01233 O ŷ= 0.344x+0.125 %3D O ŷ = 1.29x - 3.14 %3D Oŷ…

A: The regression is a linear relationship between one dependent variable and one or more independent…

Q: Grplain why Ž diverges, 27 41 even though has a finite liniit 2 t 2

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Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: V Find the matimize of the function fex) = 9" %3D by fibonacci method using N= 8 by

A: Thank you for your question!! Since, you have posted two questions in single request I will answer…

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

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Q: 4. If f(x)dx = (x + 1)ln(|æ|) + C, what is f(x)? (To write absolute value, write abs(x). Do not…

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Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

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Q: Find fx for f(x, y) = In(x – y).

A: Given that fx,y=lnx-y To find fxx It can be found by fxx=∂2f∂x2     =∂∂x∂f∂x

Q: If h(x) — За — — 1, j(x) k(x) = 21x? – 26x – 11 , show - 7x + 11 , and - - - - h(x) · j(x) = k(x).

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Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: Suppose you are given four natural numbers w, x, y,z e N such that w>x and y > z. Show that ly – w|…

A: It is given that w, x, y, z are natural numbers such that w>x and y>z. Now we want to show…

Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: : Jhat is he nodies onuegence

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Q: The area bounded by the curve y 7x and the lines x = 9 and x = 42 above the x х — ахis - is_ O…

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Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: gion enclosed by y

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Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: Given: mTRV = 60° M2TRS = (4x)° %3D Prove: x = 30 Z. 60° R (4x)° W

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Q: 3- Vn n=1

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Q: Prove H'n(x) = 2nHn−1(x), n = 0, 1, . . .

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Q: Find the aven bounded by y=x and y =x+2

A: First draw the graph of the function and find the intersection point of the graph:

Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: followinp serves Dedermine is he conditionelly , I converye your work ond justify your absdlutely…

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Q: et A be 4X4r nas non-brivial . -son-

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Q: 12) Show that D- d-del is shortest distance betueen a x- by +c2.of ; and ax+by tcz= dz?

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Q: see the equation as attached here

A: Solution:Given    0<an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: lar, let m = 2 and n e of A and B such that

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Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

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Q: 14 11 " f(2)da - /" f(=)dz = [ f(=)dz where a = and b = Question Help: D Post to forum

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Q: Express E: livenr coumbination of Ÿ; = and V as a

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Q: Proof by contrapositive that for xy EZ, if xy is even then either x or y is even.

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Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

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Q: In the Algebric terms what is meant by nvertible function?

A: Invertible function:

Q: B. If f = x²cosy + y²sinx then show that fry = fyx ух

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Q: in de pndent Variables り if メ,Y,2 and z function which achieves the eguation ャ+3x/2=5 Pind a2 in , Y

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Thene m for Voritly functiom Mean Valne fex) 2. 3X -4 +S the

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Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

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Q: Find the averuge valuc of the function fcx)-4x4 on the interval [2,6],

A: Given : fx = 4x4

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…

A: A square has diagonal length of d, we have to find its area.

Q: Use Taylor senes to wrik Hhe at 2 For a machine Fad

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

Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: Why is it called the sandwich theorem?

A: If we have three sequences fn,gn, and hn and limn→∞fn=L=limn→∞hn then limn→∞gn=L.

Q: s convex.

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Q: Compute Simits If they the eist 8+iz z²+4 hit Zマ-2 Re 2

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Q: Find leng th of the Cardioid Vsa6 from e -oto0 - 1 %3D

A: Use the formula of the length of the polar curve. L=∫0πr2+drdθ2dθ Here, r=aθ3 and drdθ=ddθ(aθ3)=3aθ2…

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: Find domain and range of the funetion f(x, y) In[e-x' -y'1

A: The ln function is undefined for negative arguments. This will ensure that argument is positive. So…

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.