d²y If xy + y² = 9, find the value of at the point (0,1). 2 dx

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A: we will find the required.

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Q: it says its wrong and that it also needs to be two decima places and i even tried scientitif nottion

A: Area of triangle=12×base×height Let base of triangle=b cm Let height of triangle= h cm

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Q: If xy + y² = 1, find the value of d²y dx (0, -1) at the point (0,-1). (Simplify your answer.)

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

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Q: 17. f(x) = 2x³ + x² − x + 3

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Q: d'y Use implicit differentiation to show that if y² + x2 = 6xy, then dx² = 6xy (y - 3x)²

A: Concept: We begin by differentiating the given equation implicitly with respect to xx and find the…

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Q: the demand function q = D(p) = 425 - p, find the following. For a) The elasticity b) The elasticity…

A: D(p)=425-p

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

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Q: 6. Given the graph below. y = f(x) T 14 x= -1.1 a) f(x) = g(x): b) f(x) g(x):. 2 Y x=2.43 Use…

A: By using Interval Notation to determine where: a fx=gxb fx<gxc fx>gx

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Q: The graph of y= 2a +5 looks like: -10 10 1,0 We should notice that our line's y-values may change…

A: given graph of y=2x+5

Q: Find the following for the vectors u = 4i + 8j+√3k and v= -4i-8j-√3k. a. v*u, |v|, and lu b. the…

A: Given u=4i+8j+√3k    |U|=√(4²+8²+3) =√16+64+3 =√83 And V=-4i-8j-√3k |V|=√(-4)²+(-8)²+(-√3)²…

Q: 1. Let f(x)=x a) Compute f'(x) using the definition of the derivative: f'(x) = lim f(x+h)-f(x) 10 h…

A: Topic-derivative and equation of tangent line We are given f(x)=1xf'(x)=limh→0f(x+h)-f(x)hequation…

Q: Y = x4 ³√x-3 x²+2 In(y) = In (4) + In (³√x-3) - In (x²+2) In (Y) = 4 inx + — —_ In (x-3)-m (x²+₂) 3

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interva as a…

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

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Q: Substitution Suggested by Equation 2. = (9x + 4y + 1)²

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Q: Example 14: Evaluate lim (1-2x)¹/* x→0+ Example 15: Evaluate lim x(5/x²) x-x

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Q: Suppose the solid W in the figure consists of the points below the xy-plane that are between…

A: Suppose the solid W in the figure consists of the points below the xy-plane that are between…

Q: (a) Find the indefinite below using the substitution x = tan(0). , (b) Evaluate the integral below.…

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Q: Use the Chain Rule to find dz/dt. dz dt - Z = = √6 + x² + y²₁ x = 6 In(t), y = cos(t)

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Q: (a) Suppose y = f(x) is an unknown function but that you know that f(4) = 11 and f'(4) = -0.18.…

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Q: 8. q = D(x)= V300-x; x = 250

A: Given data:- (8): q=Dx=300-x; x=250

Q: How do you derive the reduction formula for integrating sec^3xtan^2x?

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

Q: The middle integral is then 1 2 rb(1-x/a) b X 0²-² (1-²-3) ² dy = 120² [-3 (1¹- foc. 1 a b a -…

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Q: Given the function h(x) = x-2x- x²-9 Determine the following: A. Vertical Asymptote(s): [Select ] B.…

A: Given the function hx=x2-2x-3x2-9, to determine the following: A Vertical Asymptotes,B Horizontal…

Q: Question 1 vector equation a) Let C be a curve defined by the r(t) = (41³-9t, 4t³+5t,e41³-9t). Show…

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Q: QUESTION 14 For the following multivariable function f(x,y) = (5x-1)√√1-5y, which of the following…

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Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). →> (a) Find the equation…

A: Given points A(2,-1,0), B(-3,0,-2), C(0,3,-1) We need to finda. Equation of sphere with center A and…

Q: Find 四 dx Ix=1 if y = 7x-6*

A: y=17x-6   dxndx=nxn-1

Q: Find the exact arc length of the cur 1 B 국 3 c=f, y= . (0<t<1

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Let f(x) = 9xe-² Find all critical numbers and inflection points of f (x). Enter the largest x value…

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Q: 2. Evaluate the following indefinite integrals: (a) f(3ex-2 cos x + 5 sin x) dx (b) (2x + 1) (3x −…

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