Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

Q: Find the derivative of the following using the differentiation rules. (x²-2x) (In x³-3 tan x) x√x y…

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Q: Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

A: Here, the given polar point is: -2,2π3

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

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Q: (π/4 sec4x dx

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Q: A B B + A Bx + + I A Т Identify the form of the partial fraction decomposition of the rational…

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Q: Find lim (11) O limit does not exist Oe¹-2 Oe¹-4 O2 Other 1/2

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Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion= = ["5(x) f(x) dx + dx +…

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Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

A: Let's compute value of given a+b+c+d-4f(2)/g(2).

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = S [² f(x) dx + √° 9( g(x)…

A: Given the region is bounded by y = x3 , y = 2x+4 and y = -1. Intersection of y = x3 and y = 2x+4 is…

Q: Find -3) 2/2 lim xxx+1,

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

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Q: Find the following integrals a) f_d dx x√In x

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

Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

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Q: Find Maclaurin series for the following functions Ans. Σ 2) 5 sin(-x) Ans. (-5x)" n! 5(-1)"(-x)2+1…

A: The given function is 5sin(-x). Repost the next question.

Q: What is the value of k such that the lines 3x + 6ky=7 and 9kx+8y=15 wil have the same positive…

A: Topic = Geometry Correct option = 4 k=-23

Q: Which of the following integrals represents the area inside the curve r = 3 + 2 cos 0 and outside…

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Arearegion = [₁ f(x) dx + f[ g(x) dx,…

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 1. f(x)…

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Given problem:- A manufacturer is planning to sell a total of 500 machines to both foreign and…

Q: Please answer

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Q: -1/2 Find the gradient of f(x,y,z) = (x² + y² +2²) −1/² + In (xyz) at the point (1,2,2). Vfl…

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Q: Consider the differential equation y" = e² + zy' where y is considered to be a function of a. In…

A: We have to find if given y is solution to the differential equation or not.

Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

Q: Find the area under the graph of the function over the interval given. f(x)=e*; [-5,2] The area is…

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Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: the matrix has two eigen vector one of * this(ulkyl gil) 3 2 0 0 -1 0 1 0 2 12032

A: We want to write the eigen vector.

Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: We have to find out the coordinates

Q: The value of f (1) + g (1) is Blank 1 Blank 1 Add your answer [2² cos r² cos r dr = f(r) sinr + g(x)…

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Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

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Q: ¹ (²³) 4- If f(r) = cot-1 + tan-¹ prove that f'(r) = r²+4

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Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

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Q: Evaluate x² √x² + 25 -2 S dx

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Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: Let F and G be vector-valued functions such that F(1) = (1,0, 2), Ģ(1) = (2,1,3), Find (Go ƒ)'(0) +…

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Q: f(x) = 5x² - 8x + 15 3x² + 6x 12

A: here first we have  to find domain of function  here domain is which value we can put in function so…

Q: Question 1 If A = {x+|x-1| : x € R}, then which of ONE the following statements is TRUE? O A. inf A…

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Q: Consider the region on the 1st quadrant bounded by y = √4 - x², x and y- axes. If the region is…

A: Given problem:-

Q: The solution of the equation below can be represented as y(x) = yn (x) + yp(x). y" + 3y' - 4y = 3x +…

A: To find the corresponding particular solution of the given differential equation.

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: W=-Si ; V=1-2i, W=-3-6i , U-3V+ 2W, UV, UVW, : Given U= 4-2i ; V= 3-4i atib= (utiv)w, find a ad b.…

A: Here is the solution:

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: Torque, T, is defined as the rotating effect due to a force. Mathematically, T = r X F. Given F =…

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