From the given data,identify f(4) using a Lagrance and Newton's polynomial (2,10),(3,15),(5,25),(8,40)

Q: at point x0=1 ,x1=1 and x2=2 f(x)=sin(x)+(x^2)+xe^2 function crossing second Write down the…

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Q: How cabn the composite function be evaluated?

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Q: 4)Realize Mean Value theorem of the function f(x) = x3 - x on [-2, 3]. 5)Realize Mean Value…

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Q: What is The average of a function?

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Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: Explain why The Mean Value Theorem does not apply to the function ​f(x)=|x| on ​[a,b]=​[−1​,8​]

A: Given function f(x)=|x| on [a,b]=[-1,8]

Q: What are the Combining Functions?

A: Combining functions:           Combining functions are simply known as the arithmetic operations (…

Q: Give the domain for the function. -2 -4 www.analyzemath.com O (-4,1] O [-4,- 1] O [-8,- 2] 21

A: According to graph

Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: Verify the Mean value Theorem for the function f(x) = 2x2 - 8z +6 on [1, 3]

A: f(x)=2x2-8x+6  on [1,3] conditions of mean value theorem: i) f(x) is continuous at (a,b) ii) f(x) is…

Q: Determine the interrals on which fIS increasing decreasing and constant. also state the domain and…

A: To find:- Need to find out intervals where function increasing, decreasing and constant Method:-…

Q: Which are the Greatest and Least Integer Functions?

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Q: The range of f(x) 3 (2х — 1)(1 — 3х) + 4x2 is О 44/9, со) О -со, 35/9] О 23/5, со) О 17/3, со) О -о,…

A: Given  fx=2x-11-3x+4x2 Here we have to find the range

Q: Evaluate in terms of Beta Function: 20 ○ (1, 필) O-표8(1, 쫄) OB(1, ) OB(1, )

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Q: 1. Differentiate a trig function that is greater than a power of 1, and involve either quotient,…

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Q: Find the 도ite d Point of the Folowing Functionse 2. x3

A: Given function is F(x) = x3 + x2 - 9x + 8

Q: Let X-F(4,8), then

A: X~F(4,8)

Q: Obtain Newton's interpolation polynomial in divided differences considering the data (1,2), (3,3),…

A: We have: x x0=1 x1=3 x2=4 x3=8 y y0=2 y1=3 y2=2 y3=10 We first make the divided difference…

Q: Sketch the graphs of the functions f and g. f(x) = square root of x    ,    g(x) = − 1/2x -4   Then,…

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Q: a) f(x) = {(3, –4), (2, 1), (–9,–3)} |

A: We have to find domain and range

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: Give me a quick overview on Finite Differences topic under the course Numerical Methods

A: We will define the Finite Differences in Numerical Analysis.

Q: Find

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Q: Use algebraic notation to describe how to transform the blue function into the red function. 6+ 2-…

A: Consider

Q: Consider the function f(x)=4-5x2 on the interval [-1,8]

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Q: Find (f-1)'(a). f(x) = x - , x < 0, a = 1 х (F-1y(a) = ||

A: Given function

Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

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Q: 6. Verify Mean Value Theorem for the function f(x) = 3x² -4x +5 in [-1,1].

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Q: (a) Develop f (x – 4h), f (x + 3h), ƒ (x) and ƒ (x+ 4h). a first-order method for approximating f"…

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Q: What are the variety of important types of functions frequently encountered in calculus?

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Q: What are the Greatest and Least Integer Functions?

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Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line…

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Q: A 600 room hotel in Orlando is filled to capacity every night when the room price is $90  per night.…

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Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: Determine the average rate of change of the function over the domain graphed. (-3, 5). (3, 5) 4 2 4…

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Q: What is the least integer function?

A: What is the least integer function?

Q: 4 8.

A: Please see the answer below.

Q: Determine the Homogeneity of the functions. If it is Homogeneous, state the degree of the function.…

A: The given function is: f(x,y)=1y+x Determine the Homogeneity of the function.

Q: Examl-Section 1: (a) Use appropriate Lagrange interpolating polynomials of degrees one (n-1), to…

A: Numerical analysis, Lagrange interpolation.

Q: Make a conjecture about the end behaviour of a function with a degree that is : a) even and has a…

A: The end behaviour of a function indicates the behaviour of a function at the positive infinity and…

Q: How to find P value from z and how to make decision about reject or not Ho.

A: Test statistic- A hypothesis test is characteristically specified by a test statistic, considered as…

Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to…

Q: Find the first 3 Iterates of the function f(x) = - 2x + 3 when x 3 =0 . 3, - 3, 9 - 2, 0, 2 2 z, -…

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Q: Find f"(x) if f (x)=√√5 - 4x. Show work:

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Q: Assume we found the_value -0.015 using the CORREL function operating on 2 sets of data belonging to…

A: Correlation It tells how the variables are linearly related with each other. It represents the…

Q: explain the conditions for multivariate functions.

A: A multivariable function is a function whose input and/or output is made up of multiple numbers. In…

Q: (-3, 5). (3, 5) 4 -4 4 2

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Q: The function f(x)= cscx satisfies the requirements of the mean value theorem on [0, 3.14/4] ? True…

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Q: he critical points of the function f(:

A: Find the critical points of the function  f(x)=6x2-12x

Q: Check the differentiability of the function flz)= (スー1)

A: fz=z-1¯2z+1⇒fz=z¯2+1-2z¯z+1 Differentiating wrt z¯, we get  ∂f∂z¯=2z¯-2z+1