3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of √√3i-j.

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A: Given query is to find phase shift.

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A: v→=3i-2j+5k and w→=-i+4j+2k

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A: Given that,

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Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

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Q: dw For the given functions, (a) express as a function of t, both by using the chain rule and by…

A:

Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: y = 4 +2x + x2 A =∫-3-1f(x)dx A = ∫-3-1 4 +2x + x2dx A = [4x +x2 +x3/3]-3-1 A = (-4 +1 -1/3) - (-12…

Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

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Q: Suppose f"(1)>0. Then, a) f is concave upward at x=1. b) f is concave downward at x=1. c) f(1) is a…

A: We have to choose correct option.

Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: incorrect please re-provide

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Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

Q: Let the vector v have an initial point at (−1, 1) and a terminal point at (5, –5). Plot he vector v…

A: We have to find the component, magnitude and direction of given vector.

Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

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A: We need to determine interval of concavity.

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Example 99 Consider the set M = {(x, y) = R²: x,y #0}. Find M. Solution:

A: The orthogonal complement are subspace

Q: Evaluate x + 2 S -dx using rationalizing substitution. Which of the following statements is correct?…

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: √√√x ²-1 d For the integral What is the re-write of this integral? Ⓒ / - A z² dz 2(z² + 1) B…

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Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: Given the function f(x) graphed above, find f^-1 (5)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find laplace inverse of given function.

Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…

Q: Determine the amplitude, period, and phase shift for the given function. y = 1 cos 2x - cos(2x - 3)…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. f(x)=(x+4) |x+31 X+3 C-3 lim (x+4)…

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Q: A(4) = A'(4) -

A: Integration gives area below curve area above x axis is positive area below x axis is negative A(4)…

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A: Given query is to find the cosine equation of the function.

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A: We know that, vertical component = y-axis

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Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A: Given, cosec(A)=87, 90°<A<180°

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Q: A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying…

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

Q: 8 1 X = Σ" with convergence in (-1, 1), find the power series for 1-x n=0 1 - 8x³ 8 n=0 Identify its…

A: Let's find power series and it's interval of converges.

Q: Find the divergence of the following vector field: 00 O 2z O F = (y, -x + z², 3x)

A: We can solve this as follows:

Q: 7 13 8 a Find the area of the shaded region above.

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

Q: 4. Find the area between the parabola y² = 4ax and x² = 4ay

A: As per bartleby guidelines we only give first question answers.

Q: •√√x + 2 Evaluate -dx using rationalizing substitution. Which of the following statements is…

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Q: A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

A: The line passing through the point (1, 0, 9) and perpendicular to the plane x + 4y + z = 5

Q: [44 408]. -4 -18 Find the eigenvalues and eigenvectors for A = [64 The eigenvalue a + bi = has an…

A: Using Matrix operation

Q: 4. Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the…

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Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

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Q: find do if yot' and both de and h = X

A: We will find the derivative.