Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface 2x² + y² + 4z² = 39. Using a coefficient of 2 for x, the equation for the tangent plane is

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Q: дz дz Suppose z is a function of r and y and tan(√x + y) = e²². Determine and 3x ду

A: given function tanx+y=ez2

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Q: Evaluate f , rydyda Select one: a. 3 b. 1 C. 2 d. o

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Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

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Q: 2.1 Limits 2 1. Use the graph to estimate the limits or explain why the limits do not exist. y (a)…

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Q: Use substitution to find the indefinite integral. Spip +31' ep Spip +31% op

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A: To solve the given differential equation

Q: y=√√√x 0 Figure A 12. Consider the region in Figure A. Its area, using [f(x) - g(x)]dx, is

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Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² - x - 10

A: A detailed solution is given below.

Q: Find the inverse of the coefficient matrix and use it to solve the system. = 6 2x₁ + x₂ X₁ X1 + 2x₂…

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Q: You are to form 3-digit numbers from the digits 1 to 5. How many 3 digit numbers can be formed if a)…

A: Solution of given question is written in below steps.

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A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You…

A: The given points are:  1, 1.52, 1.85, 4.37, 6.5 Let the line of best fit is: y=ax+b Using the points…

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Q: Sketch the vector field F(x, y) = i + 3j and calculate the line integral of F along the line segment…

A: We have to sketch the vector field.

Q: 2) For f(x, y, z) = xe²yz. (a) Find the gradient of f.

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Q: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…

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Q: . Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.)…

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Q: Explain when a projection vector is negative, positive, or zero.

A: This question is based on dot product of two vector.

Q: - contains 7 light bulbs of which 4 are defective, and box B contains 6 light bu ght bulbs are…

A: Please refer to the image below

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A: The answer is given below:

Q: Mo Tu We Th Fr Sa Su Date Evaluate the following integrals: (show solution) 1 as √ x²+2 b.) f x+1…

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Q: If xs2 + yt2 = 1 and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t, at (x, y, s, t) = (1, −3,…

A: We have to find the values of partial derivatives.

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

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Q: Evaluate the equation for f Select one: a. 0.5 b. -1 Oc. 2 Gd. 1 dzdy

A: Let I=∫01∫yy21y2-x2dxdyLetI=∫01(I2)dy                                    (1)WhereI2=∫yy21y2-x2dxWe…

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Q: xp h+Z² S Select one: a. Ob. c. Od. In x² +4 + c In 2+2+c ln +4+c In 2+2+c

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Q: Evaluate the definite integral. 3 -2 (8n-²-n-³) dn 3 -2 (8n-²-n-³) dn=[ 2 (Type an integer or a…

A: The detailed solution is given below Thank you

Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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