(3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

Q: Use the special product formulas to perform the indicated operation. (y + 8)²

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Q: e²t-e-2t Let h(t) = Find the e²t+e-2t horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: For every solution y(x) of the equation y''+ 2y'+ 5y = 0 it is true that limx→∞ y(x) = 0. ?

A: Consider the equation

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

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Q: Verify the identity + 1+cos 0 1-cos 0 2 + 2 cot²0

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Q: Find the derivative of the function. y=e22x

A: Find the derivative of the function.y=e22x

Q: y-values 9 8- 7 6 5- * 3 2 1 If f(x) f'(3) = g(x) 1 g(x) h(x) > 2 3 x-values then 4 y-values 4 3 2 1…

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Q: To measure the length d of a lake (see Fig. 7), a baseline AB is established and mea- sured to be…

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Q: Find a particular solution to Yp y" - 2y + y = 8.5et t² + 1

A: y"-2y'+y=

Q: Solve the equation and check your solution. 6x 15 = 9x + 22 X =

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Q: Find the particular solution of the differential equation x²y" - 5ay +9y=9x (x > 0) satisfying the…

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Q: Find equations of the tangents to the curve x = 6t² + 4, y = 4t³ + 4 that pass through the point…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A: Consider the function

Q: g(x) = ln (xe³x)

A: According to Bartleby guide line we only do first part. Please re post other part in next…

Q: Let f(x) = lnx Since f(x) rs for x>0 Continuous Since (1,1,04), by mean such that on [1, 1.04] and…

A: The given function is

Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: Consider the parametric equation

Q: Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5…

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Q: Consider the function f(x) = x¹ — 32x² +6, −3≤ x ≤ 9. This function has an absolute minimum value…

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Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Find the present value of $4000 payable at the end of 2 years, if money may be invested at 6% with…

A: Given data

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-2, 1] by…

A: The given curve is The graph given is

Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: Why/How did you know to use the 2n when multiplying the power?

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Q: Solve the absolute value equation for x. (Enter your answers as a comma-separated list. If there is…

A: To solve the following absolute value equation for .

Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

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Q: Given the surface z = f (x,y) = x³ + 2x² + 4xy+y², (a) Enter the partial derivative f₂ (1,2), 囡囡 (b)…

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Q: Use the parametric curve, and given value for the parameter, to answer the following question. Use…

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Q: .SS. Write an iterated integral for dA over the region R described to the right R using a. vertical…

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Q: Find the critical numbers of g(x)=x√4x, x < 3. If th

A: g(x)=x4−x,

Q: Use the quotient rule to find the derivative. x² + 8x +3 y= √x OA. dy 2x+8 dx X B. O C. dy dx dy dx…

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Q: Find the differential dy. y = ex/5 dy: || Evaluate dy for x = 0 and dx = 0.01 dy =

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Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

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Q: Suppose that lim f(x) = 6 x 3 and lim g(x) = 8 x-3 Enter the exact value of lim (fg)(x) 2-3

A: Suppose that .To find the exact value of .

Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

A: The inequality is given byTo determine: The solution of the inequality.

Q: Question 3.32) A population of chipmunks moves into a new region at time t = 0. After years, the…

A: The population of chipmunks after t years is given by,Here the constant term is 100 so the initial…

Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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Q: The general solution of the equation y'' − 6y' + 9y = 0 is given by y(x) = e^(3x)(C1 + C2x). Is this…

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Q: Solve 12 4x+1 <3

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Q: Solve the differential equation. dy √xy dx = dx = 2, x, y> 0

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Q: If 3x² + 2xy + y² = 2, then the value of dy dx (b) 0 -2 at x = 1 is (c) 2 (d) 4 (e) not defined

A: Given that  then we have to find the value of  at x = 1.

Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan…

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Q: Find when 6x² + 3x³y - 2y = 40. dy dx dy dx The slope of the tangent line to this curve at the point…

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Q: Evaluate the double integral over the given region R. (18y² - 10x)dA R: 0≤x≤4, 0≤y≤3 R SS (18y² -…

A: evaluate the double integral over the given region  R: 0   0

Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Given f(x) = 2x³ - 12x² + 4x + 13 The possible inflection value is x = Concave Down interval is O…

A: The given function is

Q: Solve the equation. 1 27 3x4/5

A: Given,

Q: What are the critical points of f(x, y) = x² – 3xy — 1? (0,0) (1,1) (0,0) and (1,1) (1,-1) (1,1) and…

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