The value of x for which the series - n³(x-3)" OA. 2

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A: Given, y = -2x -4

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A: We have to find out area

Q: 0 00 00 Consider the function f: (-2, 2)→ R defined by Mex X 6t D = S(x) = [₁ = [₁₁125²4d² - dt -…

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Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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A: Given problem:-

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A: graph of function

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A: Topic:- application of derivatives

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Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: lim (x,y)→(1,1) O -1/2 O Limit DNE O 1/2 O 2 (4x - 5y) 5x² – 7y

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Q: 4. Find the length of the curve defined by Ŕ(t) = (3t+1, 4t³/2, 4 - 3t²) from the point (1,0, 4) to…

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Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Here, the given curves are: y=2x-x2 & y=0 The area bounded by the curve is:

Q: Consider the function. x-7 f(x) x-6 Step 1 of 2: Find all values of x that correspond to horizontal…

A: solution:-f(x)=x-7x-6f'(x)=x-6ddxx-7-x-7ddxx-6x-62f'(x)=x-6-x-7x-62f'(x)=1x-62,     x≠6for…

Q: The graph of y = f(x) is given. 6- 5 4 3 2 6-5-4-3 -2 -1 -3 -4 -6- 1 2 3 4 5 6 a

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Q: an f (b) For a positive integer n, find the n-th partial " azn derivative off with respect to z, for…

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Q: Solve the improper integral and determine if it is convergent and divergent 9 √2 (1-32), dz Oa .…

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Q: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

A: We have to find integral

Q: 3 2. Find the area bounded by the two curves y = x = x³- 6x²+ 8x and y = x² - 4x.

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Q: Find all critical points of f(x) = 1 + 10x - x² and use the First Derivative Test to determine…

A: We are given f(x) = 1+10x-x2 We have to find critical points of f(x) and using first derivative test…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: dx Consider ·S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z.

A: Given

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

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Q: Which of the following equations describes the partial fraction decomposition of a rational function…

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Q: Use the second curve fitting criterion to minimize the sum of absolute deviations for the model y =…

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Q: Evaluate the given limit of the following: z¹-z²-2z+2 lim Z-1 28-2z¹+1

A: Let's evaluate given limit.

Q: ∞ Consider the series (-1)" Which ONE of the following statements is CORRECT? n=1 3" OA. The series…

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Q: Note: Volume of a cylinder is r²h, where is the radius and h is the height. A closed wood storage…

A: Volume of cylinder= πr^2h

Q: The circular ring method is to be used to compute the volume of the solid generated by revolving the…

A: Solution is given below:

Q: X 4e² Evaluate Sv dx 2 Use rationalizing substitution. A e√ex - 2 = 2√2 Arctan 1/2 √et et - 2 + C…

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Q: 10dz S 4z³ - 4z²+ 5z

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Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) // ² dA over the region…

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: (6) 6. 1 y z = -t Resolute Rebecca believes she is limitless moving forward along her path!…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 07 s.u. 9 9 s.u. 01 S.U. 2 S.U.

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Q: Find the area bounded by x2 = 4y + 4 and x = y 2. Using vertical element, what is the integral…

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Q: y''+y'=0 where y(0)=0, y'(0)=1 laplace transform of derivatives

A: Given that:-  y" + y' = 0 and y(0)= 0, y'(0) =1 We find laplace transform of this differential…

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A: It is exponential growth function.

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Q: Sean Marley Tapulayan Active Now 1-cos 2 cos² (1) sin²() cos² (7) sin² (22) K Simplify: A B c) cos D…

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Q: Evaluate: 1. lim [√x² + x − √x² + 4] x →+∞0

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Q: Consider the function. f(x) = x-1 x + 8 Step 2 of 2: Determine the open intervals on which the…

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Q: ate S = Evaluate dx x1/2+x2/31 using rationalizing substitution.

A: solution:-∫1x1/2+x2/3dxput x=y6differentiate both sidesdx=6y5dy

Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

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Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…