Find the linear approximation to the equation f(x,y) = 2√ xy at the point (2,8,4), and use it to approximate f(2.18, 8.29) ху 4

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A: X=-3, X= -4, X=3 Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: ||| = 19:25 0% * · Natifa Hinds Today, 18:08 3. Tesla estimates that its profit expressed in…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: Consider the following cubic polynomial function: p(x): = 2x32x29x - 5 d) Using the Rational Zero…

A: d.)  Integer rational root: -1 ; In the form of     a±cb​​;    a = 1; b = 14; c =2e.) 3f.)  (1+i5)…

Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

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Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

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A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Graph the function f(x) = log(x-3) + 1. Identify the domain, the range, and the equation of the…

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Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: Answer ∫(2x−3)(x2+1)13​dx=2ln(∣2x−3∣)−ln(x2+1)−3tan−1(x)+C…

Q: what about the local minimum?

A: To find the point(s) of local minimum in the following graph.

Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

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Q: 3. (4.4.1 #15) Find the general solution. y" - 3y + 2y = e³ (1 + x)

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Q: Evaluate the following surface integrals [ F. ds. (a) F(x, y, z) = (x, y, z) and S is the part of…

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

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Q: The sides of a square carpet is measured at 2 ft. Estimate using the Linear Approximation the…

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

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A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

Q: 3. Use implicit differentiation to find and (a) xy+yz = x2 (b) xyz = cos(x + y + z) (c) xy² 23 +…

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Q: 3y²-3x² Find an equation of the tangent plane to the surface z = 3y² - 3x² at the point (3, 1, -24).…

A: Given that,z = 3y2-3x2

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: Vector-valued functions (VVF) VVF Point P t value (for point A) r(t) = ½t²i + √4 − t j + √t + 1k (0,…

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Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: 26:To evaluate the integral ∫ dx/x^3−2x^2−4x+8​ using the partial fraction decomposition, we first…

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

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Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.

Q: 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(Ā-C). U C B

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Q: See the function in the image uploaded. Answer a) a) To use a limit and find its horizontal…

A: The objective of the question is to find the horizontal asymptote of the given function y = (2x^2 +…

Q: 2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S…

A: The objective of this question is to determine whether the area of the region S bounded by the…

Q: Find all the values of x such that the given series would converge. n=1 (10x)" по The series is…

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Q: Find all critical numbers by hand. f(x) = x²-7 x+3

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Q: classify the following sequences as geometric or arithmetic and find the general expression for the…

A: The objective of this question is to classify the given sequences as either arithmetic or geometric…

Q: please answer the following for me

A: The objective of the question is to find the first five terms of the sequence defined by aₙ =…

Q: find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

A: The length or arc length of the given curve is 129 units.Explanation:

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

A: The given function is

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

Q: b Question 4) If f(x) is a continuous function on [a, b], then √ f(x)dx = f(b) – ƒ (a) f(x)dx = } a…

A: To provide counter example for given false statements

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Q: ☐ 1. Find the volume of the solid formed by revolving the region bounded by the graphs = x² about…

A: V=5162π​Explanation:Step 1:

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: #5 Find parametric equations of the I love through points P(-2,4,-1) and Q (-3,-5,6)

A: The parametric equations of the line passing through points P(-2, 4, -1) and Q(-3, -5, 6) are:•x(t)…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: Solve the given system of differential equations by systematic elimination. (D+ 1)x+(D1)y = 8 9x+…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: For the function f(x) = 4+ 12x² − x³, find the local extrema. Then, classify the local extrema using…

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