lim x-00 1 with a a real constant different from 0, consider the Consider the limit following statements 1- The limit has a form of +00 lim -0o 5 1 2- if we know that the limit so a=-5 Which statement is true A- Just 1 B- Both are true C- Both False D- Just 2

Q: 5. Find a Taylor series expansion around x = 1 for f(x) = 6. Without solving the exact answer,…

A: 5) The Taylor series formula around x=1 is:…

Q: Evaluate the iterated integral. J. J, J vz dx dz dy A 45 в) 34 (© 47/3 D) 5

A: Topic = Integration

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A: Solution is done in step 2

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A: We have to find the surface area.

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A:

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A:

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A:

Q: Find the area of the surface that is generated by revolving the portion of the curve y= X between x=…

A: We can solve as follows

Q: Express the iterated integral as an equivalent integral with the order of integration reversed.…

A: Express the iterated integral as an equivalent integral with the order of integration reversed.

Q: Question 10 Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B)…

A:

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A: r1(t)=cost i+sint j +3t kdr1dt=-sint i+ cost j+3 kr2(t)=2i +t kdr2dt=k

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) = | (?,?) y = z

A:

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A: Use the chain rule of differentiation.

Q: sine "/2 Evaluate the iterated integrals r cos e dr de A 1/6 1/2 11/9

A: Explanation of the answer is as follows

Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

Q: Using appropriate substitution dx 4 (x+ 1)2 - is equal to -/4-(x+1)2 – sin- (*) + C the above…

A: Given problem:-

Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

A: To find following integral valueI=∫-11∫02∫01(x2+y2+z2)dx.dy.dz

Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 17 tan ; P(-18,18); а—…

A:

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A: Let's find.

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A:

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: To find the area of the region bounded by the given curves.

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Q: FOTE: Enter the exact answer. dx dy = VT

A: A detailed solution is given below.

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A:

Q: Evaluate the double integral. /| 4x²sin y²dA; Ris the region that is bounded by y = x², y = -x², and…

A: Given problem:-

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A: Given

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A:

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A:

Q: find Fourier series on [0,2n] オーズ 0<x<T (12) f(x) = Tくx<2元

A:

Q: 33. The expression for the horsepower of an engine is P-0.4 n x^2 where n is the number of cylinders…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

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Q: Where is each function continuous? (a) f(x) = Vi %3D

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Current Attempt in Progress Express the iterated integral as an equivalent integr with the order of…

A: we have to change the order of integration.

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A:

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A:

Q: Question 13 Evaluate JJ xy dA , where R is the region in fa, 3) (1, (5, 3) R (2, 1) (4, 1) x A 56 В)…

A: A detailed solution is given below.

Q: xydA R

A:

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A:

Q: Evaluate JJ xy dA , where R is the region in ху ´(1, 3) (5, 3) R (2, 1) (4, 1) A) 56 в) 67 38 D) 90

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the divergence of the vector field F. F(x, y, 2) = In(9x+ 8y² )i + 72xyj + In(8y² + 5z? )k #6…

A: Solution is done in step 2 and 3

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: n/2 sine Evaluate the iterated integrals r cos e dr de 0.

A: