sin 4x2 lim 1 cos 6x

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A: Lets find the zeroes:           x4+13x2+36=0…

Q: The absolute max occurs att The absolute min occurs at t

A: Follow the procedure given below.

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A: We have to determine the type and stability of the critical points of the homogeneous systems.

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Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: Use series to evaluate lim 4x2 (e -2/x -1). ... lim 4x (e -2/x -1) =D X00 (Simplify your answer.)

A: Limit

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A: Yes the series is convergent. It's sum is 2/5. See below the calculation

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Q: 1. | (In x)² dx_ Use integration by parts.

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Solve it.

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Q: Find the area bounded by the curve y = 4x - x2 and y = 3.

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Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

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Q: Solve for ((1 integral 0) x3(2+2x4)5 dx) instead

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: 6. A whale is swimming on course due west at 20 miles per hour. The water is moving at 7 miles per…

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Q: Find two positive real numbers whose product is a maximum. The sum of the first and twice the second…

A: Given: The sum of the first and twice the second is 56

Q: Evaluate the definite integral. I (1 i +e"j+ik)dt (el3 – 1) i – (e-l – 1) j +k i+ (e-l – + k el3 – 1…

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Q: f(E) = 90€-7€ %3D

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Q: I. Write 2 – 7i in polar coordinates on the complex plane. II. Find (1+ i)° using DeMoivre's…

A: z=2-7ia=2, b=-7z=a2+b2     =4+49|z|=53θ=tan-1baθ=tan-1-72θ=-tan-172Polar form:=z cos-tan-172+…

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Q: Find the solution to the following differential equation. Take the constants of integration to be…

A: Explained below

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Q: Which of the following numbers is a rational number? V25-1 V5 O the above the above the above None…

A: We need to choose correct option.