Given the function z = In(x - 2y), find the equation of the tangent plane when (x, y) = (3, 1) in both standard and linearized form.

Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values Y₁, V2, Y3 and Y4 of the…

A: Solution:

Q: 4. Use the Root Test to determine the converge or divergence of the series. " b. 21(3n+1)" a Σ=1…

A: The given series, a) ∑n=1∞n2n+1n b) ∑n=1∞2n+1n-1n c) ∑n=1∞n3n We have to test the convergence of…

Q: 001 Enter an exact value, using a fraction if nec- essary. Do not include units. A 6-foot person…

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Q: (b) Hence find the value of S² S ²² 2y(1 + y²x) e¹²x dx dy.

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 2x² + 4y² = 24

A: To find the maximum and minimum values of the function fx, y=x2y subject to 2x2+4y2=24.

Q: The velocity of a car coming to a stop is shown in the graph below. Use the graph to determine an…

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Q: Problem 8. Write out five terms of the sequence bn approximate the logarithm terms using a…

A: Given; bn=ln(1+2en)/n

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

Q: above by the surface Tuery² and below bu

A: We have to find the volume by double integration according to the given information

Q: 2. Coefficients Linear in Two Variables (3x +2y + 7)dx+ (2x - y)dy=0

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Q: Problem 9. True or False. Explain your choice carefully. (a) The sequence defined as an = (-0.5)", n…

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Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

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Q: A house was valued at $100,000 in the year 1991. The value appreciated to $175,000 by the year 2002.…

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Q: Suppose Find the value of f(ln 11). f(ln 11). d da -f(x)=e³a, f(0) = 6.

A: Integrate the given differential equation and then go ahead.

Q: For the function y = x² + 2x find the value of dx when x = 3 and dy is 0.8. O - 0.2

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Q: 3t² + t 3 t→→∞ t³ - 4t + 1 11. lim r - p³ r→∞ 2 - r² + 3r³ 13. lim

A: see below the answer and explanation

Q: [6 6x ln (x + 5) dx

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Q: Convert the following standard form to general form of parabola. a. (y+1)²=-2(x+2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

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Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If ƒ(0) f'(0) = 3,…

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Q: The matrices A, B and C are given by and D=AB - 2C. Give the value of d 2,3. a) O-12 b) O-13 c) O-11…

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Q: 4. Let (n) be an increasing sequence of real numbers. Assume, furthermore, that (x₂) has a…

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Q: 26. tan ³0 sec ³0 de

A: Topic = Integration

Q: Write the composite function in the form  f(g(x)).  [Identify the inner function  u = g(x)  and…

A: To find the derivative

Q: dz Given z = xy + sin(xy2), with x(t) = 2t + 1 and y(t) = -t², find dt t=1

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Q: Use linear approximation, i.e. the tangent line, to approximate √64.4 as follows: Let f(x)=√x. Find…

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Q: ton = 15/8 where Toz Ø180 Find cos20

A: Please see the below picture for detailed solution.

Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 4, 0≤ y ≤ In 8, 0≤z≤ In 16) with a…

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²

A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.

Q: The matrices A and B are given by and C = BA. Give the value of c 2,1. a) 06 b) O-1 c) 00 d) 08 e)…

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Q: Problem 2. f = Is the integral XT dx convergent or divergent? Hint: There is a test that allows you…

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Q: If the rate of change of a population is directly proportional to the square of the population and…

A: If the rate of change of a population is directly proportional to the square of the population and…

Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate the integral or state that it diverges. İA... 25e2x +49 In 7/5 -dx Select the correct…

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Q: Find the first partial derivatives of 4xy f(x, y) 4x + y af dx = -(2, 3) = = af -(2, 3) : dy = at…

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Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

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Q: Find a parabola with equation y = ax² + bx + c that has slope 10 at x = 1, slope -14 at x = -1, and…

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Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

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Q: x) = (x-10) ¹

A: Given query is to find the critical points.

Q: the deflection of differential equation shown 26. dy a d'y = w(x) on 0<x<l dxe" ·beam 9. y.(x)..…

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Q: 6. Find the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π <0 ≤0 (a) (2,117) (2,117) (b) (d)…

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Q: Suppose the derivative of f is given by f′(x) = (x −4)2(x +3)7(x −5)8 On which interval(s) is f…

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Q: Use polar coordinates to find the volume of the solid bounded by the parabolas z = 3x² + 3y² and z =…

A: The solid is bounded by the curves:z=3x2+3y2        and          z=4-x2-y2

Q: Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B

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Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: 25-34 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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