Find an equation of the form ar+by+cz = d for the plane that passes through the points A(3,2,0), B(2,0, 2), and C(-2,4, 1).

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A: Find out the dimensions of the page that will use the least amount of paper.

Q: (a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

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Q: a) Use polar coordinates to calculate SSR(3x+2y)dA where R is the region in the second quadrant…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: A tank initially holds 80 gal of a brine solution containing 18 lb of salt per gallon. At t=0,…

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A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

Q: Convert the equation f(t) = 232(0.76)* to the form f(t) = aekt a k= ||

A: The equation ft=2320.76t

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Q: Fibonacci method can be applied if the function is continuous only. O True O False

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Q: At what points of R² is the following function continuous? xy if (x,y) = (0,0) f(x,y) = 5x + 4y 0 if…

A: This is problem of limit and continuity. Based on the general formulas and concepts we will answer…

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Q: 1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB…

A: We need to fill in the answers.

Q: 3x 4) 4. S-001+ 6x dx = 1+e6x a. Diverges b. converges to TL 8 c. converges to It d. converges to TL…

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Q: e) y=sin(tanx) f) y = sin³ 7x

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Q: Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf B ≤…

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Q: R: y = 2x +1,x+y=7,x = 8

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Q: FX= 4x2cosx Find the derivative of FX

A: use product rule for finding the derivative.

Q: Use the chain rule to evaluate fu and f, at (u,v)=(2,-2) where f(x,y,z)=y³+xz² and x=x(u,v)=u+v²,…

A: Concept: The chain rule for the function f (x,y,z) is  dfdu=∂f∂x∂x∂u+∂f∂y∂y∂u+∂f∂z∂z∂u…

Q: @ es the following uation sutisfied Cauchy. W w = Z² Rieman. s equation

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Q: 2- tan²x + 1 + tanx secx = 1+sinx cos²x

A: To show that , tan2x+1+tanx.secx=1+sinxcos2x

Q: 123 Evaluate the integral [[[x²y³ (x²y + xyz + y²²) dxdy dz 001

A: Topic = Integration As per guidelines , At a time only one question can be answered. Please repost…

Q: Question 7 of 12, Step 1 of 1 Solve the differential equation given below. Answer y = JUN 14 esc ck…

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Q: Q5. Solve: = y² (1+x²), y(0) = 1.

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Evaluate the indefinite integral by using the substitution u=x*+x to reduce the integral to standard…

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Q: Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of…

A: The objective of the question is evaluate the improper integral.

Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by V₁…

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Q: 3 -6 -4 -3 4 Let y = V1 = 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁ and…

A: Let, W be the subspace spanned by v1 & v2 . Now, calculate the distance:…

Q: c. p> 1 7.One of the following sequences is divergent sequences a. 3n² + 2n n5 + 7 n! b.{-1)".…

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Q: Find the product of the following two matrices. 01 -2] - [1436 237 -3 -2 3 0 Columns: 2 Rows: 2

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Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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Q: 1. The limx→4-7 a) 4 2. The limx→-4+ a) 0 b) - 7 √x² - 16 b) 4 c) 0 Ô 16 d) Does Not Exist d) Does…

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Q: # √² + y = 2 Y = 10 + 3X

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Q: Given that Y₁(t) = e 2¹ and Y₂(t) = e³ make up a fundamental set of solutions to y"+5y'+6y=0, find…

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Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

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Q: Find the derivative y by implicit differentiation 4xy2=5x+8

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: In Problems 6-10, let R be the region bounded by y=x² + 1 and y = x + 1.Each problem will describe a…

A: Given

Q: a) 2x+3y-z-2 x-2y+3z= 13 4x + y + 3z = 9

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

Q: 8. Determine a vector equation for the plane with Cartesian equation: 2x -y + 3z-24 = 0

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Q: tan2x 3-f dx √cos2x

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Q: (i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the…

A: We have to solve given Questions.

Q: find the X values if any at which f is not continuous State whether the discontinuities are a…

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Q: Hand written plz 2. Standardize the following LP model. max z = −3x₁ + 8x₂ - x3 + 12x4 - - 3x₁ +8x₂…

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Q: Which of the following describes the graph of g(x) = -In(4 — x)? 8 7 5 4 2 2 -30-9-8-4 -6 -10 6 8 9…

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Q: Q6) Find the Area bounded by the curves y = √√√x and x = 2y - y² ,with sketch.

A: Let's find area between two given curves.