Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf

Q: A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the…

A: Given query is to find the sides of the box

Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: Find the area of the region bounded by the given pair of curves. Area inside the circle r = 3 cos 0…

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Q: 1. State the domain and range of {(x, y)|y = + 3}.

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Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

Q: r = 3 cos 0

A: The given curve,  r=3 cosθ

Q: Compute the gradient of f(x, y) = 9 - 5x² – y² and evaluate it at the po (4, – 1). %3D - The…

A: Use gradient formula for finding at given value .

Q: 6. 9. 6, If f(x) dx = 31 and g(x) dx = 18, find [4f(x) + 5g(x)] dx.

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Q: y=x/x+1 is a solution of what differential equation

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Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE:…

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Q: The graph of f' (x) is given below. On what interval(s) is the value of f(x) increasing? Glve your…

A: Graph of the derivative function is given, we have to find the increasing interval of f(x)

Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

A: Given problem:- 1. The demand function for an electronics company's stereos is D(q) = 228.4-18q and…

Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: 3. f(x) = (1+x + x² + x*)!5

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Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

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Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: 2. Let g(x) = ev cos +, Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

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Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: do number 3

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Q: Σ E n=2 n·ln(n)

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: The student should answer the question below: Evaluate the given equation: | ydA where T is the…

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Q: The graph of the velocity function v = v(t) is given below. Determine the distance trav- eled during…

A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

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Q: 18. Determine if the equations are exact or not then solve for the general solution. a. (e*(x²y² +…

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Q: The plane with normal vector (0, – 2, – 4) containing the point (-7,4,-3) has equation Aæ + By + Cz…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the ezact answers in terms of i.j…

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Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) xeSx+6 dx…

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Q: f(x, y) = 2y – 6ry - x 2.

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject…

A: Solve the following

Q: ind the horizontal and vertical asymptotes of f(x). If there are no asymptotes of a given type,…

A: The given question can  be solved as shown in step2.

Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: y'sec²xdx – (1– 2y'tanx)dy = 0

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Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: 4- 2- 2 3. To find the blue shaded area above, we would calculate: f(z)dz = area Where:

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Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: Use the Comparison Test to determine if the series converges or diverges. Sn+ 6n n-1 diverges O…

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

A: Here, PQ=Q-P=-1,-5,6PR=R-P=3-1,4-5,1-(-6)=2,-1,7

Q: z = 3 - t , z = 6 – 4t parallel.

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