Question 2 2.4. Approximate the intergaul Simpson's rule with f ẻ sin xóa n = 3

Q: 8) Given y = 1 +3 sin 2x, Find the Amplitude Interval and Period y = A sin (B (x+C)) + D 2x Period =…

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Q: Given the function in the image below, what is the value of f' in pi/2? Where pi=3.14159..... This…

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Q: If sec A = √26 with 0≤ A ≤ 90, find sinA/2

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Q: 20. True or false (If true mark "a" and if false mark "b"): The amplitude of y = secx is 1.

A: Given; y=secx

Q: Question 3. 900 Estimate the integral f(x)= fe sinx dx by using trapezoidal rule. You can use…

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: 10 Use Simpson's Rule with n = 8 to approximate f cosx dx. 2

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Q: Compute sec() if sin(0) = 0.29 and 0 < 0 < 5 Give you answer accurate to 4 decimal places

A: Find your answer below

Q: az for a – yz+ sin(cyz) = 5. dx 9. Find %3D

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Q: 30. (cosa tan x) = O A OB O OD (A) secr+sina tanz (B) (C) (D) cos x - sin rsec²r sin r

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Q: 2a's at L{sinh at sin at} = (s* +4a*)

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Q: 4. f ta tan x sin xdx

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Q: Show | S a² sin®(e*) dæ| < 16n*. 8 Show | S, x2 sin°(eª) dx| < 3

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Q: 27. What is the Period of y=-5 sin anpitude amplitude and (x+7) Period = ?

A: given y=-5sin(x+7)

Q: 3. 2 sin? x -3sinx - 2 0 = |

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Q: cos x + tan x for small values of x , in the vicinity of x = 0

A: Given that y=cosx+tanxtaking derivative with respect to xy'=-sinx+sec2xat x=0y(0)=1y'(0)=1

Q: 8. If tan x = 3, the numerical value of vcscx is (A) 0.32 (B) 0,97 (C) 1.03 (D) 1.78 (E) 3.16

A: Given: tanx=3 we know that cosec2x=1+cot2x

Q: 3 Estimate the error if S10 (Simpson's rule with n = 10) was used to calculate sin(4 x) dx .

A: I=∫03sin4xdx Integrating it- I=-cos4x403=-cos124+cos04=1-cos124=0.0054

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: If = cot (8/2).: 5. If show that tan(ß) %3D 2D %3D (D-1)(D+1)

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

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Q: Estimate the error if S3 (Simpson's rule with n= 8) was used to calculate sin(2x) dx . a) O lerror|…

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Q: If f(x) = ƒ'(x) = 4x(sin cosx), find

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