2* lim x→0 x²

Q: 4) lim (5x-1 + 1)4x x00

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A: answer is in next step

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A: Given query is to find the value of y.

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A: We need to choose correct option.

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Given query is to find the value of the expression.

Q: 1. f(x) = V3x +2 2. f(x) = 2х-3. 4 %3D 5x+1

A: We know quotient rule of differentiation as follows  ddx{f(x)g(x)} = g(x) f'(x) - f(x) g'(x){ g(x)}2…

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Q: Find Valke of nhegal Sxdx X dx

A: To evaluate the given integral

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Q: I just want to confirm if my solution is right. Please check. If not, please correct me.

A: You have done a mistake which I have shown in step 3 of this solution. Kindly go through it.

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A: Given :∫-5-27ey+2ydy

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A: solution:-force, F=20 lbspring stretched,x=8 in=812 ftfor springF=k·x20 lb=k812 ftk=20 lb812 ft=30…

Q: 4e". se"ts dx de Let u* 2e*+2, e*. 2 dy =2e*dk 4 du - edx dx 4 p- du hp: T A 3 4 I du Ju 4 du A9 Let…

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Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: - If f(r) = e² is a solution of xy" – (r + 1)/ + y = 0. Then, the general so (A) y = c1e² + c2e=z…

A: Answer is in next step     option  E is correct.

Q: For the function f(x) = xe-2x give intervals of increase/decrease and intervals of concavity.…

A: Let's find.

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A:

Q: Convert the angle to a decimal in degrees. 78°24'17" 78°24'17" =° (Do not round until the final…

A: We have to convert an angle of 78°24'17" in degrees.    Before converting, let us see first two…

Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

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Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: cos (20)= 2

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Q: The following question is about the rational function (x + 1)(x - 2) rex) = (x + 2)(x – 6) The…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A: topic- ellipse

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Q: Find the solution of the given differential equation

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Q: 14 y=7x-x 12 10 8 6 (6, 6) 4 y = x 2 4 6. 8. 2.

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Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

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A: topic- application of derivatives

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Q: Find a formula for the general term an of the sequence assuming the pattern of the 4 16 64 256 1024…

A: we have to find out the nth term

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A: Given ,  A local diner must build a wheelchair ramp to provide handicap access to the restaurant.…

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Q: 5x(x+1) =15

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Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…