7. Let f(x) - -ar + 9x -3. a. Determine thex-values where f"(x) = 0. b. Fill in the table below to find the open intervals on which the function is increasing or decreasing, Select a test value for each interval and evaluate r) for each test value. Finally, decide whether the function is increasing or decreasing on each interval. Intervals Test value Conclusion e Find al the relative extrema of the function.

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A: To show that the given lines are skew lines.

Q: 135 5. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: S. U. u.) 4

A: Let's find.

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A: We will use simple differentiation rules to solve this question.

Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

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A: Given:∫02(x-3)ex2dx

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A:

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

A:

Q: Σ Preview i=1

A: We will use sigma notation.

Q: Exercises Solution of Equations having Constant Right Member Solve the following equations 1. (D² +…

A:

Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

A:

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

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A: Given :f(x)=2x-14x=0.98

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 8 cos TX ...…

A: The Maclaurin series is given by  f(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+...

Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

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A:

Q: 1 -dx. State whether the improper integral converges or diverges. 22 +4 Evaluate 00

A: We have to check weather the given integral is converges or diverges.

Q: scientific

A: We will find the 28th term

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A:

Q: Change the following polar equations to rec 6. 12. r = 4-cose

A:

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

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A:

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A:

Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

A:

Q: (-3)"r" ice of the power series Vn +1 n=1

A: Series

Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

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A:

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A:

Q: 6. Evaluate the integral /: a sec (x²) tan(x²)d.x. sec*(x²) tan(x²)d.x. sec (x²) tan(x²) (a) + C 6.…

A:

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A:

Q: derivatives power series

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: please

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

A: This question is related to limits, we will solve it using given information.

Q: 8/16/22, 140 PM The Sine & Cosine Laws State whether the given measurements determine zero, one, or…

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Q: 1- x² tx

A:

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Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

A:

Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

A:

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: y = e* – axis. and the x - axis is revolved about the y

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Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

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Q: Find the inverse transform, indicating the method used and showing the details: 2s - 10 -5s 1. s3 3s…

A:

Q: 13. Use a polar integral to find the area of the region defined by - Cos 0 KA<T

A:

Q: ہمملامعحممعم:لم ملنم ط علاهک بہادلاعہرامزم معو= اوهكهو

A: Using the finite difference method we have to find the values at inside point b/w 0 and 1.