II. Evaluate the following integrals. 1. 1 - coth² (log₂x) x cosh (log₂ x) -dx

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Q: Evaluate fx² cosh x dx

A: To evaluate the integral.

Q: Q1: Solve the following PED: ди ди = дı ?x² ; if u (x, 0) = 2x when 05x5 05x52

A: Note:- These are multiple questions and according to our company guidelinne we can do maximum 1…

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A: This question can be solved using the concept of maxima and minima.

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A: Integrate the equation.

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Q: Find the absolute extremum points of f(x) = sin2 x + cos x on the interval [0, π].

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Q: Evaluate ²(2x + 3e* - 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE

A: Given problem:-

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A: Given.

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A: Solution-

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A: Rate of increase of population=P(9)-P(0)9-0

Q: 3. coth 3x dx

A: To evaluate the integral.

Q: f(x) = 4√√x + 2x¹/2 - 8x-7/8 +x². f(x) +2 1 x3 = ²325/2 - 2x³/2+1/32²³- x³ - 2x² + x −1. 9

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Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

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Q: 5. sech 2x tanh 2x dx sech

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Q: ngles, and

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Q: 22. =2x²-3x+1 at (-1, 6)

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Q: 6. y dy 1+√√y 11

A: SOLUTION-

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Q: A Consider triangle ABC drawn in a circle of radius 6 cm with vertex C at the centre of the circle,…

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Q: Suppose that P = 4.2x² + 1.5y² - 0.1x3 -0.01y3 tons is the production function for a product with x…

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A: In order to graph the opposite vector we need have one more point along with the origin.

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

A: Using sine rule, length of other two side are evaluated.

Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + C.

A: Orthogonal trajectory

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A: Given query is to find the equation of the tangent.

Q: cos sin-cos -d0

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Q: Use the linear approximation to estimate In (√0.99).

A: Given problem:- Use the linear approximation to estimate In(3√0.99).

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A: We can solve the given differential equation .

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A: Given that,

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Q: 4. If a 32 foot chain is hanging (balanced) on a metal peg on a wall. At time t=0, with the chain…

A: Given that,

Q: Evaluate 0-2²-²4 where is a unit cele centered at the origin

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Q: Convert the degree measure to radian measure. Round to three decimal places. −46.23°

A: Convert the degree measure to radian measure. Round to three decimal places. −46.23°   Please show…