Simpson's 3/8 rule gives exact results for O f(z) = 5+0.25z² O f(z) = 5+0.25z® O f(r) = 5+0.25xª O none of these

Q: Oz Aradom Variable(x) has the following cof FX(X) = (x³ + x) al find the pdf of X find Pro <xcot)…

A: Given that: The cdf of random variable X is given as: FxX=12X3+X      where 0≤X≤1

Q: Explain the difference between the two formulas

A: Given : Z= X-μσ  Z=X -μσn We need to tell the difference between the two formulas.

Q: A = 1 -1 0 -1 2 -1

A: To find the best rank 2 approximation to A with respect to the Frobenius norm, we need to find a…

Q: 2. Which function below is even? Explain your answer. 1) f(x) = sinx %3D 2) f(x) =x² – 4 3) f(x) =…

A:

Q: - x² – 3x – 8 da (а — 1)(ӕ + 1)*

A: Solution: The objective is to find the value of the given integral

Q: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

A:

Q: 00 If f(x) = > (1– (sinx)²)" .Determine the value of n=1 (c) 3 (d) 4 (e) None (a) 3 a b d

A: Proceed as shown below

Q: Prove that VÃZ,n,m=N(x²)m = xmn¸

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Q: A = 0 0 0 1 1 1 0 01

A:

Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

Q: Let X have a p.d. f.f(x) that is positive at x = -1,0,1 and zero elsewhere. (a) If f(0) =, find…

A:

Q: dx - - In[F(x)]+C. What is f(/5) ir c = 0? For I (x+x³)(x Tan-'x+ 1) A 3 B D + 3

A:

Q: Perform the operation for the given functions g (x) = 3x + x? %3D h (x) = x2 -5x %3D f (t) = t -t…

A: Given,   g(f(r))=?

Q: 1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined…

A: Given: fx=5x2-4x+7 for x∈1, 4 To be find c∈1, 4 such that fc=13∫14fxdx Integral of ∫xndx is given by…

Q: +20x-22y-14-0 become when referred to the rectangul axes through the point (-2, -3), the new axes…

A:

Q: d Prove that (x") = n x"-1 dx

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Q: Calculate Rs for f(x) = 6 - x over ver [3,5]. R8 IE

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Q: + The f(x) = Vx – 2 defined at (-0,2] T F

A: Given: fx=x-2 A real valued function is said to be defined in an interval I, if fx∈ℝ, ∀x∈I. Now if…

Q: The average value of f (x) = x – 4x on [3,9] is -3 90 O 15 O 4

A:

Q: . What is F(/3) if C = 0?

A:

Q: f(x) = - [x + 1 for xs0 lx -1 for x > 0 a. Show that f(-1) - S(1) = 0 but that there is no number c…

A:

Q: What is the function that generates the following table? F(x) 4 1 12 36 108 4 324 O A. f(x) = 3x+4 O…

A:

Q: Define Fo = 0, F, = 1 and Fk = Fk-1 + Fr-2 for k > 1. Show that (a) Fn-1Fn+1 = F +(-1)" (b) E-o Ft =…

A: Introduction: The Fibonacci sequence is an important sequence in mathematics. If we add the two…

Q: 46) Evaluate V(3r + 1)dx 2(3r+1)7 O s(3z+1) 2 O 2(3z+1)7 +c 3 O D(3r+1)1 + c 2

A: We have to solve the given integration

Q: 3t + 2 if t 5 4 t + 2

A:

Q: f(x) = x² – 1 chen f(a – 1) is equa

A: Given    f(x)=x2-1 Then find f(a-1)

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.