4. Solve for 1 [(ax)²-b²]³/2 J dx.

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A: it is very basic question of trigonometry.

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A: Follow the procedure given below.

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A: Here we have to solve the differential equation.

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Q: 18. Assume that f"(x) = (x + 2)²(x-2)(x - 3)(x - 5)³. Find x-value(s) for all inflection point (s).

A: If sign of f''(x) changes when we move from left to the right of x=a then x=a is known as the point…

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A: Given ∫7sin6v cosv dvTo evaluate the integral:

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Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

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A: topic- average rate of change of function over interval Note: As per bartleby guidelines,we are…

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A: Since you have asked multiple question, as per company guidelines we will solve the first question…

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Q: 3. Suppose [ f(2)dx = 36, So r)dr the following: a. b. f f(x)dr 50 f(r)dr = 12, (2ƒ(r) + +12g(r) -…

A:

Q: 2-) -100

A: Since you are asking multiple questions. We are answering only one question as per our guidelines.…

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A: Given :y=2x2

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Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

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A: In this question we have to find the area of the given region.

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A: This question can be solved using the concept of area bounded by curves.

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. sin(A) 00 7 A

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Q: (a) State the Fundamental Theorem of Calculus Part I √x (b) If G(x) = cos(t¹) dt, compute Gʻ(z). (c)…

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A: To find out the dot product u*v

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Q: A rectangular field is to have an area of 500 m². a. Write the perimeter, P, of the field as a…

A: The solution is given below

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A: Here we have to choose the correct option.

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Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series.

A: The given series: ∑n=2∞x+2n2n ln n

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Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: Suppose S. f(x) dx = 36, [₁² f(x)dx = 12, ²9(1 1. (2f(x) + +12g(x) — 4h(x)) dr g(x)dx = 24, and h(x)…

A: