following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

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Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

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Q: 191. y = √x from x=2 to x = 6

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Q: Prove that (x₁, y₁), (x2, y₂), and (x3, Y3) are collinear points if and only if X1 Y1 1 2 Y2 3 y3 1…

A: The given points are:   x1, y1,  x2, y2  and  x3, y3

Q: Find an equation of the plane orthogonal to the line which passes through the point (-10, -8, 9).…

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Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 3 =…

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Q: B E B D B D C BC=30° ZB=? ZA= ? AEL CD AC = 30° CB=40° AD = ? BD = ? BEC=3*BDC ZB=?

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any…

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: Evaluate_lim_ (√9x² − 5x +1+3″

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Q: 4x−³+2 3 8. S ² X - 2 - X dx

A: Given :∫4x-3+2x-2-xdx

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: f(4+h)-f(4) f(x) - f(4) x-4 h (Express numbers in exact form. Use symbolic notation and fractions…

A: Given  f(x) = 1x

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5.…

A: For the function y=5x3-4xa To determine the avarage rate of change between x1=3 and x2=5.b To…

Q: Evaluate the curvature of r(t) at the point t = 4. r(t) = (3 - 5t, e³¹-12, 8t - t²) (Use symbolic…

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Q: Solve the following differential equation by Laplace: ² - 4y = 16 t -6, y(0) = 3 . dx

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Q: Presentation2 pp O Microsoft Office Home My files- OneDrive i…

A: Given function is Pt=700e0.02t   ....1

Q: Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number of…

A: see below the calculation with steps.

Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: Find slope of tangent line F(x)= 3x^2+5x-2

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Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

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Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

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Q: 45. a¹ + a²2=0

A: Find roots

Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

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Q: For any given base, what does 100 represent? a) The base squared -1 b) The base squared c) The base…

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Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

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Q: Draw a fraction-circle diagram that illustrates 5 ·

A: Since you have posted multiple questions, according to Bartleby's policy, we'll solve the first…

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: A liquid at a temperature of 120°F is placed in a room at 36°F. Its temperature T (in °F) at time t…

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Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

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Q: correct answer for D and E

A: We have to find the total distance travelled.

Q: [200] 020 00 02

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Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.5≤x≤ 1.75, about the…

A: I am attaching image so that you understand each and every step.

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

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Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

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Q: 1) Suppose U(x,y)=4x²+3y²+x0.5y0.5 a) Calculate the partial derivatives of U with respect to x and…

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Q: Q19

A: Concept Used:  Hyperbola formula:(y-k)2a2-(x-h)2b2=1 The variable h represents the x-offset from the…

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Eliminate A and B from the relation y = Ae²x + Bxe ²x

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Q: lim »- oolv 9x²-21x+10 +3x + 3x)

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Q: Use transformations of the standard cubic function f(x)=x3, to graph the following function…

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Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity…

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Q: Find all points on the curve y = 10 tan x,-/2<x</2, where the tangent line is parallel to the line…

A: Let's find point of tangent.