Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

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A: We have to find the absolute maximum and minimum.

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A: Given: y=e3x-e-3xe3x+e-3x

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A: Given problem:-

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Q: Give at least 3 examples of each type of matrices 3x3 and 4x4. 1. Idempotent Matrix

A: One example of 3x3 matrix is 123456789. One example of 4x4 matrix is 12345678912346789.

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A: The objective of the question is determine the distance between given point and plane.

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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: I am attaching image so that you understand each and every step.

Q: (5n Explain why the statement "if cos , then -1 COS is true or false.

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A: Given :- f(x) sin5(cos4(x))  To find:- Derivative of f(x)

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A: Let's find.

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A: We have to solve the differential equations.

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Q: find the area bounded by the curve y=4x-x² and y=0 from x=0 to x=4

A: Topic = Area

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Q: 00 Expand the function in a power series a,x" with center c 0. Find a,x". 8+7x

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Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A: Solution: y = x y = x4

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A: Here, given weight are W1=250, W2=400,W3=2133.33 Here, d1=4, d2=5.5 are the respective distances of…

Q: (Easy) For the following differential equations, state the independent and dependent variables, and…

A: Here we have to find the dependent and independent variable order and the degree of given…

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A: We will solve using integration by parts.

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A: Find your answer below

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Q: Exact Equation Solution of (2xy -tany) dx + (x^2 - xsec^2 y) dy =0 Answer: x^2y−xtany=c

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Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.

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Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

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Q: B. If the measure of arc AB is 50 degrees, what is the measure of angle ADB? O 25 degrees 90 degrees…

A: As we know the degree of the arc is equal to the measure of the central angle that creates the arc.…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) C=-3 2 -5 -3 -2 -1…

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