Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 9x2 − 216x + 1,     [−4, 5] absolute minimum         absolute maximum

Q: Let f(x) = 14 - 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. y 15 10 y…

A: (a)(b)(c)(d)Do the appproximation improved = Yes.

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Q: Could you do part b please

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Q: ) MATH 202 Important Instruction. --- Assignment I due 30-4-2024 Solve the following problems in a…

A: Here's a breakdown of the problems:Problem 1: This problem involves solving a triple integral in…

Q: 3. Consider the line [x,y,z] = [3,-2,3]+1[-1,2,-3]. Find the intersection points between this line…

A: Step 1:we have R(t)=[x,y,z]=[3,-2,3]+t[-1,2,-3]R(t)=[x,y,z]=[3-t,-2+2t,3-3t] Step 2:for xy plane…

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Q: Homework

A: {if you have any queries please feel free to ask..}

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A: Step 1:Solution-Step 2:Solved all with explanation .If you have any doubt you can ask for…

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A: Surface Integral over a Parametrized SurfaceWe can evaluate a surface integral over a surface S…

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A: If you have any problem let me know here in comment box for this thankyou.

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Q: 6. The following vector fields are conservative. Use this information to evaluate √ F. dr (a) F(x,…

A: Solution a. Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Solution b.  Step 1: Step 2: Step 3:…

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Q: Find derivative ③y = (1h (x)] न 4 5th² (sec" 2x).col ()

A: 3) y=(ln x)                                     Answer is: x1​  4)…

Q: Please see image

A: Step 1: Step 2: Step 3: Step 4: Step 5: step 6

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Q: For the following fields, calculate div F. 1. F (x,y,z) = 〈2xz, -3xy, -z2〉 2. F (x,y,z) = 〈3x+8,…

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Q: MAT441 CALCULUS II – PROJECT #5 Evaluate S cos (3x) dx. √√4 - sin² (3x) Answer. Step 1: Exercise 1

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A: Please give a thumbs up if you got your solution!Any queries are most welcome.

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A: Step 1: Step 2: Step 3: Step 4:

Q: 1. Water is flowing into a tank over a 12-hour period. The rate at which water is flowing into the…

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Q: j √(6y 7 + 9z 7 + 6xk) · d7 where C is the boundary of the triangle with vertices (3, 0, 0), (0, 5,…

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Q: Please help. The answer is not 4.

A: Step 1: By applying the Power Rule of Integration, ∫xadx=a+11​xa+1+c ,  Step 2: To find the…