X 1.2 1.4 1.6 1.8 3. (a) Consider the following data: f(x) 0.2625 | 0.6595 | 1.2032 1.9044 | 2.7726 (i) n-1 Ue the composite Traperoidal ale 1(elds = 10) +2=) + s0) t0 (ii) Use the composite Trapezoidal rule f(x)dr = f(a) +2) j=1 approximate /1.2 | f(z)dz. the fMt

Q: 5. The graph of f is shown below. Use the indicated areas (physical areas), in units?, of the…

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Q: 2.2 The value of xe*dx by using the two-point Gauss quadrature is most nearly 0.2 (A) 11.672 (B…

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Q: 2; if x 4. (a) Find the values for f(x) when x = -3, -2, - 12, - 1, 0, ½ , 1, 3, 4, 5, 6 (b) Sketch…

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Q: Determine the natural cubic splines S that interpolates the data f(0)=0, f(1)=1 and f(2)=2

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Q: of discon tinuity of the the following func Hions (a) g(x,y) = stuind %3D (b) b) f laiy)

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Q: 7. The range of y = csc(x) is A. (-00, 00) В. (-00, – 1) U (1, ∞0) С. (-0, – 1]U[1, 0) D. [0, 0)

A: To find the range of following function  y = cscx

Q: 3) Evaluate using area interpretation, with known geometric formulas (a) [f(x)dx (b) [ƒ(x)dx y=f(x).…

A: ∫04f(x)dx=area of the semicircle=π2r2=π2×22=4π2=2π∫46f(x) dx=Area of the square=-22=4

Q: Consider the functionf (x) = 3x² + x. Select the figure with the tangent line (blue color) at x = 1…

A: The correct figure is figure 2

Q: 9. Sketch the graph of f(x) = (x - 3) (x+ 2)³ and find the following if they exist (if it does not…

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Q: Evaluate (a) r(-7/2). (b) r(-1/3). Ans. (a) (16 J)/ 105. (b) - 3r(2/3)

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Q: evaluated at fo as follows. 1 0.5 0.2

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Q: 12. Let g(x, y) = V36 – 9x² – 4y². (a) Evaluate g(1, 2). (b) Find and sketch the domain of g. (c)…

A: Range and domain of the function

Q: For what values of t in 10, 602 does the graph of y = c1t2 as shown have a discontinuity?

A: From the given Figure, it is easy to observe that the graph is discontinuous at 0, 15, 30 and 45.

Q: What is the graph represented by the function f(t) = t + (t - 2)u(t - 1)

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Q: . A function f(x) has the following properties: (=) de = 4, f(2)dz = 6, f(2)dz S r(2) dz = -2, […

A: a) We divide the integral into three subintegrals

Q: Which of the following is the best estimate of f f(x)dx where f(x) is given in the figure below? (x)…

A: The area of rectangle is given by length x breadth

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

A: Numerical analysis, Lagrange interpolation.

Q: Q4) Given the function: (x² + y² fx,y (X, Y) = x² + y? < 4 %3D 8 0, eslewere Then P{2 < X² +Y² <…

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Q: 10. Use the graph to find a. (f• g)(0) f(x g(x)

A: Given query is to find indicated composite function.

Q: The function below has the form | f(x) dx. x2 dx (x³ – 1)1/3 (a) Evaluate the integral to obtain a…

A: The given function is  F(x)=∫x2(x3-1)13dx

Q: For the graph of f(x) below, which of the following has the largest value? 3. f(x) 1 8 10 12 14 16 2…

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Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2…

Q: 5. Let V denote the volume of water held in a 1-liter bottle. The pdf of V is f(v) = 90v³ (1v) 0 <…

A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Given: - Ar with f'(x): (x+ 2)2 r(x + 8)(x – 2) (r +2)3 8(7x-4) (r +2)4 S(x) = and f"(x) = a.…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Find A -B x C, (Ax В): (В х) if A%3 2а, — х, а, — 2а, В %3D 4а, + x,а, + 2а, and с 3 -âx + ây – x3â,…

A: see the attached image below

Q: Which of the following represents the graph whose shown? y= f(x)

A: the first zero is x=A and with a multiplicity of 3 so the factor is  the second zero is x=B and with…