The following table represents the value of sine function X          0.0             0.1           0.2        0.3          0.4            0.5               0.6 f(x)      0.0000     0.0998   0.1987    0.2955     0.3894      0.4794          0.5646   Compute   0∫0.6f(x)d(x)

Q: Find the equations of both of the tangent lines to the ellipse x² + 4y² = 36 that pass through the…

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Q: HW-4 Find f'(4.8) and f"(2.2) for the following data in the below table. @ Find I fixidx X 0 1 2 3 4…

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Q: • 7/40 8000 sin (20x) Evaluate dx 7/60 1 – 2 cos (20x)

A: To evaluate: ∫π60π408000sin(20x)1-2cos(20x)dx...(1)

Q: Evaluate [sin² (7x)dx using Simpson's method to four decimal places. take n = 6.

A: ∫01sin2πxdx       To find: Above integral using Simpson's method if n=6.

Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

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Q: 1. Determine the range of the function y = -3 sin[4(x – 2)] + 2.

A: Range of trigonometric function

Q: Evaluate

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Q: A calculator has a built-in sinh-1 x function, but no csch-1 x function. How do you evaluate csch-1…

A: Evaluate: csch-15

Q: State the range of the function f(x) = 3 cos ("X 플). O [-1/3,1/3] O (-00,00) O (-3,3] O (-1,1] O…

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Q: All calculations must be in four (4) decimal places. Let f(x)=xcosx-x² sinx, i. Calculate f"(3.0) by…

A: The four point difference formula for approximating the second derivative f"(x) at point xi is given…

Q: Find all æ values on the graph of f(x) = 2x – 4 cos æ for 0 < a < 2n where the tangent line has…

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Q: What is Q(1.5) if f(x) = cos(x) and Q(x) is centered at? Round your answer to 4 decimals, for…

A: We know Taylor's series for f(x) around x=a is  Q(x)≈∑k=0∞f(k)(a)k!(x-a)k

Q: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

A: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

Q: Which of the following functions has no inflection point Select one: O a. f(x) = x³ O b. f(x) = ln x…

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Q: Calculate z=X / tanθ using θ=(52.20 ± 0.70) degrees and X =(51.60 ± 1.05)

A: We haveθ=(52.20 ± 0.70) degreesandX =(51.60 ± 1.05)

Q: Integrate tan x from x = 0 to x = 1.32, then round your answer to the nearest thousandth (3 decimal…

A: We have to integrate tan x from x=0 to x=1.32.

Q: Consider the functions h : R→R and g : R -R defined by h(x) = 72 (5 + arctan(sinh 4æ)), . g(x) = 144…

A: Using inverse trigonometric  function properties

Q: Evaluate 1- x? dx 0. by Simpson's rale with n=5

A: Here fx=x1-x2 The interval is 0,1 and n=5. Hence the interval is divided into 5 equal parts.…

Q: Let g(x)=4x csc x. Find the (exact) value of g"(5pi/6)

A: Given:      gx=4xcscx