For f(r) = sin(Tx) on [0, 1], find the Bernstein polynomials B1, B2, B3, B4. Simplify answers as much as is reasonable. |3D

Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

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Q: Q2: Iff (z) is analytic at zo. (b) Give an example to show that the converse of (a) is not…

A: If f(z)  is analytic at Z0  Then it must be continuous at Z0  We already prove.  Now we consider…

Q: 5. Let z = and f(z) = 27 ,then simplify f(2) and indicate the real V2 – yi and imaginary part.

A: The given complex number is, z=1-2-yi Rationalize the term,…

Q: Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and…

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Q: 2. Given the points (1,0.7),(2,0.73),(3,0.8),(4,0.75),(5,0.6). Use Lagrange polynomials to find the…

A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.

Q: Calculate L6 for f(x) = √6x + 3 over [1,3].

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Q: 4. Find the zeros of f(x) = x² + x – 3.

A: We know that, for a quadratic function fx=ax2+bx+c, the zeros of of fx is given as x=-b±b2-4ac2a…

Q: For f (x1, x2, 3) = IIM (3, 4, 6, 7), which would be the best approach to simplify, SOP or POS?…

A: The expression  .SOP: Sum of the product of terms.POS: Product of sum of terms.

Q: LOW: Construct polynomia -) sinx in [0, 2π] interpolation in mentioned interval of the function

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: Sp

A: The question is asking to verify the statement that for all real numbers x and y, the product xy is…

Q: The evaluation of S z dx is V4+x2 O In(sece + tan0) + c o - In(sec0 + tan0) + c c In|sece – tan0|+ c…

A: we have to evaluate the following integral .

Q: 4. Verify Rolle's Theorem for f(x) = x² – 2x +1 on [-1,3]

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Q: Let f(x) = - 32x – 20z -31¤ – 4. Divide f(x) by 4x + 1. Identify the quotient and remainder.…

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Q: 3D03519..s 文 Period: tracting Polynomials (4h² – 5) + (3m² – 2)

A: Given: The polynomial, 4m2-5+3m2-2.

Q: Assume that u x =. Use the properties of the cross-product to evaluate the following expression.…

A:

Q: Use the basic definition (Ad-hoc Calculations) to show that f(x) = x4 + 2x3 − 7x2 + 3x − 6 ∈ Θ(x4)…

A: Using the limit definition of big O and sigma definition we can prove this thing.

Q: Calculate M6 for f(x) = √√3x over √3x over [2,5].

A: Given Data : We have given a function f(x)=3x over an interval [2,5].   Required : We have to for…

Q: : Iff (z) is analytic at zo. (a) prove that it must be continuous at zo.

A:

Q: Use the fplot command to plot the function f(t) = Vlcos(3x)+ sin (4x) in the domain -25 x S2.

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Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

A: Sol

Q: 1on to ove tha (X +Y)(X + Y) =X

A: In this question, the concept of Boolean Algebra is applied. Boolean Algebra A boolean expression is…

Q: Sp

A: The question is asking if the product of two real numbers x and y, represented as 'xy', is equal to…

Q: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: b) Show that P1(cos(0)) and P2(cos(0)) are orthogonal to each other, P, and P2 being Legendre…

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If…

A: Solution

Q: Consider the functions: f(t) = 16t and 9(t) = e. Using the definition of convolution find integer…

A: Given the given functions are ft=16tgt=e4t Apply convolution f*gt=∫0tfTgt-TdT

Q: Q3) prove that: fa+¹h f(x).dx h 2h 4h - = 3 [ƒ (a) + f(a + 4h)] + f(a+2h) + [f(a+h) + f(a + 3h)] 3 3

A: Introduction: Numerical integration is a word utilized in evaluation to explain a set of strategies…

Q: For fx) = Vx and g(x) = x + 4, find b. the domain of fo g a. (fo g)(x) (f o g)(x) a. (Simplify your…

A: Given that two functions:

Q: f(2) =2x² + y+i(y² – x)

A: