Find the limit. (If an answer does not exist, enter DNE.) x² lim x → 3 - 9x + 18 x - 3

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A: We will find the required.

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A: standard form of exact equation Mdx+Ndy=0this is excat if  ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

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Q: If y³ = 4 + x² and dy dt -1, then find dx dt when (x, y) = (2, 2).

A: Given,            y3=4+x2 and dydt=-1To find : Find dxdt when x,y=2,2

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Q: In Exercises 26-37, give an algebraic specification for the null space and the range of the given…

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Q: Given P₁: x+2y-32=1 P₁ = -2x - 4y 162=3 Find the parametrization of the intersection of the two…

A: Given planes:- P1:x+2y-3z=1P2:-2x-4y+6z=3

Q: Solve the equation. dx 3 6+₁²) ²2 ² =8x5 (6+y²) An implicit solution in the form F(x,y)= C is =C,…

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Q: Does the series Σ 10 n=1 √n converge or diverge? O The series diverges because it is a p-series with…

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Q: Find (d/dx) (2x(3/2)−5x(1/4)+4)

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Q: g to find the value of eac

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Q: 2. Find an explicit formula a,.... For each sequence determine whether the sequence converges or…

A: Given : a) 12, 14, 16, 18, 110, ...b) 12, -43, 94, -165, 256, ...

Q: 1. Find the linearization of the given function at the given point.

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Q: 2. Compute: S√2+e-3tj + (sin4t + 1)k] dt.

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Q: Describe the given region in polar coordinates. s0s.srs (Type an exact answer, using as needed.) -10…

A: To describe the given region in polar coordinates.

Q: 1. Find the derivative of the following using Leibniz Notation: y = √1+5³

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: d²y dx² ď²y dx² dy d.x² = 6 (x² + 6) ² − 3x(6x − 6) √√√x² + 6 - 3x (6x - 6) 13/CT 3 (x² + 6) ³ 6…

A: To break down the given steps to get the result of the derivative.

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Q: Find f'(x) and f"(x). f(x) = √xex

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Q: The cost function for Levi Strauss to pro- duce a pairs of blue jeans is C(x) = 3400+ 9x Find the…

A: We have given cost function  Cx=3400+9x-150x2+710000x3 C'x=ddx(Cx)…

Q: II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x) = x² + 3x - 5 and…

A: Introduction: Sum of Two Functions: The sum of two functions is found by adding the two functions…

Q: Consider the functions z = 5e* Iny, x= In (u cos v), and y = u sin v. dz (a) Express du dz ди and…

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Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. e12z de 13 Enclose…

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Q: Determine the derivative of f(x) = 2-3-52³ In 3. 1. f'(x) = 6.3¹–¹ – 15x² In 3 2. f'(x) = (2.3ª –…

A: f(x)=2.3x-5x3ln3d dx(ax)=axlnad dx(xn)=nxn-1

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Q: Solve the equation. 5 1+2x dx -= dt Begin by separating the variables. Choose the correct answer…

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Q: 65. Find all points on the graph of the function f(x) = 2 sin x + sin²x at which the tangent line is…

A: The given function is: fx=2sinx+sin2x  To find all points on the graph of the function at which…

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Q: Find the derivative of f(x) = In 1+ 1 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) 5. f'(x) 6. f'(x) = = = =…

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Q: lim f(x) lim 8118 lim f(x) x → 1 lim_f(x) X-3 f(x) the equations of the asymptotes (Enter your…

A: We have given graph of the function  From given graph  limx→∞fx=-2 limx→-∞fx=2 limx→1fx = Does Not…

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Q: ។ 21 (3; 2) 2 = 10 a2zt g √ x ³²

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Q: 2. Find the derivative of each of the following functions by first simplifying the logarithm a) a In…

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Q: f z = 5x2+y2 and (x,y) changes from (1, 2) to (1.05, 2.01), compare the values ∆z and dz

A: Given :z = 5x2+y2(x,y) changes from (1, 2) to (1.05, 2.01)

Q: Let f(x) = 3x³-5x²-4, x2 1.5. Find the value of df 1 dx at the point x = 780=f(7).

A: Given,             fx=3x3-5x2-4To find : Find the value of df-1dx at the point x=7.

Q: Small changes in numbers in an integrand can result in very different methods required for…

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Q: The solution to the differential equation (x²2 -4xy-2y²)dx+(y² -4xy-2x²)dy=0 a. y²(y-6x)+x²(x-6y)=c…

A: To find the solution of the following differential equation. x2-4xy-2y2 dx+y2-4xy-2x2 dy=0

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A: Given :4x+y3e4ydydx=1

Q: Solve the following initial value problem y = 9x y" - 81y = e e⁹x, help (formulas) y(0) = 5, y'(0) =…

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Q: Find f'(x) when f(x) = x² - In (6+x²). 1. f'(x) 2. f'(x) 3. f'(x) 4. f'(x) = = = |5. f'(x) = 10x +…

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