is displaced 8 cm from its equilibrium 4.A pendulum has a length of 40 cm. position and then released. The period of the pendulum depends on its length only and is given by the formula T = 2n were T is the period, 1 is the length of the pendulum, in metres, and g is the acceleration due to gravity, 9.8 m/s².

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Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

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A: Solution is given below:

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Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

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A: This is a problem related to average rate of change of the function. Based on the general formula we…

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A: Given : y = x2 + 2x + 8 x = 5 and ∆x = 0.5 Calculate ∆y - dy ∆y = f(x + ∆x) - f(x) ∆y = f(5 + 0.5) -…

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A: This question is based on similar parallelogram properties and rationalisation.

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

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Q: 12. f(x) = x² (2x + 1)*(x – 3)* y-1) y² + 1 AR 13. 14. ya 12+ 4 x 15. y +2 x+ 1

A: 12) f(x)=x2(2x+1)3(x-3) 5 13)x=(y2-1)2/(y2+1) 14) y=[12x1/3+4x1/2]/x1/4. Repost the next part.

Q: How many terms of the Maclaurin series of f(x) = ln (1 + x) are needed to compute In(1.5) to within…

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Q: Q/ Choose the right answer y" + 6y"+ 11y' + 6y = cos(x) +e^{-x}

A: To find the general solution of the following differential equation.y'''+6y''+11y'+6y=cos x+e-x

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Q: dx e 2x+1

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Q: 20.Evaluate The intcaral below by changing to spherical coordinates. 100-4 100-x-4 10 -10

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Q: ( a ) Σ n sin H.

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Q: 12 Estimate the integral x°dx using a left-hand sum and right-hand sum with n = 4 subdivisions.…

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Q: 10. Related Rates d. The area of a circle is expanding at a rate of 10 cm? per second. How fast is…

A: Note that the area of the circle is given by: A=πr2 Differentiating it with respect to t:…

Q: 16 in. 12 in. A 18 in. mLA = 38.95 mZB = 123.04 mZC = 18

A: Given

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A: Find the equation of the line with slope −2 which goes through the point (9,−7).

Q: series onvergent, 8· 16 · 24 · (8n) .... n! n = 1 O absolutely convergent O conditionally convergent…

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Q: 5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

A: The given matrix is: A=563-2

Q: 6. -30 4 2) -5 -10 40 寸

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Q: Let E be the region bounded above by z? + y² + z² = 10² , within z? + y? = 4° , below by the r®…

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Q: Solve each equation. 0. -5 -5 1) -1 %3=

A: Here we have to solve, -504-1Z=-55

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A: Find your answer below

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A: Solving

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A: Given: As no method is mentioned, we will be answering by graphical method.

Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step

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A: Determines the equation of two lines with slope m1and m2..

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Q: ) Let A be a nonsingular matrix, consider the 8 2 matrices A- -6 4 10 1 5 2 (a} .- ) Find the…

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