Evaluate this path limit: 4.ry3 lim (z, y)¬(0, 0) 2x² + y6 I=y% =???

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

A: Prove the following limits

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Q: Consider the linear transformation T: R3 R defined by T(x, y, z) = (x – 3y + 2z, 3x + y + 5z, -2x +…

A: To find the standard matrix of the given linear transformation.

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A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

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Q: Use the method of Lagrange multipliers to find the largest volume of a box with no top subject to…

A: To find the largest volume using the lagrange multiplier .

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: ) Find the y’’ (second derivative) of the following in its simplified form. Do not skip the steps…

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A: Let's find.

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A: To solve the second derivative of the function

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A: Question no. 13 is not visible proper ,you can repost again

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Q: 3. Sketch the curve f(x) = x² +1

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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.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: 3) f (x) = 2 x2 + 4000/x +10 a)Find the derivative . b)Find the critical number(s), if any.

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Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

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A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the length of the curve y = = cosh(x), 0 < x < 1. Arc length =

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Q: Consider the following. u = -6i – 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: The base of a three-dimensional figure is bound by the line y = x +2 on the interval [0, 4].…

A: Let's find.

Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: Graph the inequality. y> 2-4x Use the graphing tool to graph the inequality. Click to enlarge graph

A: Given query is to graph the inequality.

Q: -e' 4. Y = e3x +e¬3X

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

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A: The given DE is of the type: Mdx+Ndy=0 where  M=2x-3y+1 &amp; N=-(3x+2y-4)⇒My=-3, Nx=-3⇒My=Nx

Q: ind a function F(x) satisfying the given conditions. . F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2)…

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Q: 2(V3 – i) (1 + 1)?

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Q: INSTRUCTION Use the hinge theorem or its Converse to solve for the value of x. Show you complete…

A: the given problem is solved below in detail.

Q: Find the indicated partial derivatives. f(r, s, t) = r In(rs®r®); f fst rss' frss(r, s, t) = frst(r,…

A: Consider the function, f(r, s, t) = r ln(rs⁸t⁸). The objective is to find the partial derivatives…

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Q: Find the solution of a given the BE + =

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Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X= 10. Show…

A: Given problem:- Calculus the producer surplus for the supply function p(x) = 3 + 0.01x ^ 2 at the…

Q: 2. One ounce of cooked meat contains 7 grams of protein. If you are going to add Keto Chow into your…

A: Given information: 1 ounce of meat=7 gm of protein1 Keto diet=15% of total calorie required1 Keto…

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A: The objective of the question is evaluate the indefinite integral.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 5)…

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Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Find your answer below

Q: 1 Lim x+0 sin'x 2. X. X

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Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: Consider the following. u = (5, 0, -9), v = (8, 7, 3) (a) Find the projection of u onto v. (b) Find…

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Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

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Q: How 3 Find the absalute maxine and minima for the funCtion (4x-x) Cosy an the rectangular plate…

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

Q: Evaluate the following rational function with the following (a, b, c, and d). 1.…

A: Please see the answer below.

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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