#3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

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A: Given query is to find the distance AB.

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A: Solving the problem by finding the value of the limit.

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Q: Line tangeet Find the the equetion of the Cur ve X= 2+ Sec p und at p = to

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

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Q: Problem 8 Find the critical numbers and the open intervals where the function f(r) = %3D r³ – 3x + 4…

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Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

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

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A: We have to find out A

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Q: dy given the dx Use implicit differentiation to determine equation x° + y? 10. - dy dx

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Q: 2+Secx-

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Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

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A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: If 4x? + 5x + xy = 2 and y(2): – 12, find y'(2) by - implicit differentiation.

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A: Concept: Graph: A graph is a graphical representation of data that is organized on a graphing plane…

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Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

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A: Use l hospital rule for finding the limit.

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Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

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Q: dx (9 – 4.x²)³/2 2,3/2

A: Use substitutions to make it more simple

Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=&lt;6,0,0&gt;-2&lt;0,4,2&gt;+&lt;3,0,-1&gt;…

Q: Given y = u28 and u = 5– 3x?, find dy/dx. A. = 168x(5 - 3x?)27 D. dx = -28x(5 – 3x²)²7 dx dy В. dx…

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2   (1). Given: y=u28…

Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: PART C 15. Use the definition of the derivative to evaluate each limit. e2+h – e? 1 a. lim h h→0 b.…

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Q: kt Convert the equation f(t) = 310(1.13)' to the form f(t) =

A: answer is in next step

Q: thế föllowing triangle. (bebaon as Boosla Iamiab A = 31° B= 29° C = 14 m Select the correct choice…

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A: A detailed solution is given below.

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A: We need to find vector form.

Q: If va + Vỹ = 12 and y(4) 100, find y' (4) by implicit differentiation.

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a cos 20 and 5t, where a is…

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Q: Classify the statement as either true or false. If f is continuous at x= 2, then f(2) must exist,…

A: Given query is to find statement is true or false.