Question 3 A (B) ) Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ? 3x²y = x+y 3x²y = 2x - y 3x²y = 2x + y 5 Points ... ...

Q: 1) Plot each of the following functions over a suitable range of their domains: a. f(x) = r -a – 2x…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3 For the function z = 2x³-8y² - 2xy, find 立|み 11 x²(-2,-2)= (Simplify your apcwor) əz əz dx' dy' a…

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Q: 5. Given the function f(x)=1/(x-2), the linear approximation of f(x) around f(x)=-1 is most nearly:…

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Q: 27. Sketch the following functions 1 a) y = -(2x – 1)(x +1)(4 + x)(x – 5) g(x) = %3D b) x² - 4x – 21…

A: The graph of a function f(x) is a set of ordered pair of x and y, such that y=f(x) for every point x…

Q: Question 2 Suppose near a cargo ship, the depth of the sea is given by the function of: f(x, y) =…

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Q: 7 -1,-2.5) 0-5) ,0- S (1-10) 14 -21 (2,20) y-intercept End Behavior: As x oc as x OC

A: Y intercept is the point where x=0

Q: Find an equation of the tangent line to the graph of f at the given point. y = x³ - 2x + 1, (2,5) y…

A: We will find the required equation of tangent .

Q: (5) The point p = -4 is a fixed point of the function g(x) = Vx + 20. Show if it is attractive or…

A: Given that, the function is gx=x+20 and the point is p=-4. Note that, x0 is attractive if f'x0<1…

Q: Set f(x) = 1 7x³ + 3x + 2 . The point 1, 11/12) is on the graph of f. Find (ƒ-¹) (12)

A: we need to find f-1'112

Q: Find a cubic function y = ax³ + bx² + cx + d whose graph has horizontal tangents at the points (-2,…

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Q: Find the distance from the point P(2,1) to the line y = x + 2 *

A: Given point is P(2,1) and the line is given as y=x+2 1x-1y+2=0 The formula to find the distance…

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. −x2 +2x−4=−2y2 +y…

A: By differentiating and using the result that  derivative of  x^n is nx^(n-1), we get the required…

Q: 1. Given the Y function = 3/2X – 3, find its solution with X values, graph, determine domain, range,…

A: solve the following

Q: 9. Given the function f(x) = x³ - x and g(x) = x - 1, determine an equation for the the combined…

A: The given problem is solved below in detail.

Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: what is the equation of the line through the point (-3,2) and has x-intercept at x=-1 2.

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Q: 2i 3 10 - The graph of the y=f(x) function is given above. x*(x + a) y = f(x) = → a = ?,b = ? (x +…

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Q: Given the function P(x) = x(x - 5)(x - 7).

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Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…

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Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: Which function has an z-intercept of (-5, 0) and a y-intercept of (0, 5)?

A: Given that  X-intercept is (-5,0) Y-intercept is (0,5)

Q: Find a linear approximation to the function at the point x = 3. y = f(x) = x²e™ + 8x

A: