Example 2 Sketch a graph for y = 2 sin (x +) + 1, x € [0,4m] (show full working out for all intercepts and tuming points).

Q: sketch the graph, noting the transition points and asymptotic behavior. y = 1 / Ix + 2I + 1

A: To sketch the graph of f(x) =1x+2+1

Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: Determine the missing coordinates of the points on the graph of the function

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Q: 21. Find the quadratię function y = ax² + bx + c whose graph passes through the points (-1,0), (1,…

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Q: 5. Show how the origin changes stability as a changes by using the Poincaré Diagram. x - [i :]• 2 a…

A: The stability of fixed points of a system of constant coefficient linear differential equation of…

Q: 1. Sketch the graph of y = sinx,0 ≤ x ≤ 360°, and complete the table below Maximum: Minimum:…

A: This question is based on graph of y=sinx

Q: (a) If g(x) = x2/3, show that g'(0) does not exist.(b) If a ≠ o, find g'(a).(c) Show that y = x2/3,…

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Q: Question 1: What is the slope of the tangent of the function f(x) = x² at x = 1? Please work it out…

A: Given a function, fx=x2. To determine the slope of fx=x2 at x=1. (i) From the graph, Consider the…

Q: 1) Find the orbit of the function : f(x) = x² – 2x +3 at x,=2 2) Find the fixed point of the…

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Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: 1. The amplitude of a periodic function is the maximum value minus the minimum value.

A: We are given with the multiple question and our guideline is solve first question

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = 4(x - 5), (6,5) ||…

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Q: Chapter 4, Section 4.1, Question 040 Sketch a possible graph of y =f (x), using the given…

A: Take function  f(x) = x3   Then we know that  f'(x) = 3x2 and  f''(x) = 6x

Q: 1) Find a function y whose graph passes through the point (1, ) and satisfies x?y' = y.

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Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Given: For any function y=f(x) can be expressed as x=f(y) in standardmathematical methods for…

Q: 6. Find the member of the curve whose slope at any point is √y and passes through the point (2, 1)

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Q: Sketch the graph of the following between x = 4T and x = = 47. y = sin x 0.5+ -Зл -27 2л Зл 47 -0.5+

A: We have to sketch the graph

Q: 1) Find a function y whose graph passes through the point (1, and satisfies x?y' = y.

A: We have to solve

Q: 1. Find the domain and two level curves of f(x,y) = /25 – x² – y2

A: As per guidelines, we will solve the first question only. 1. Given function is   f(x,y)=25-x2-y2

Q: Sketch the graph of the function. (Include two full periods.) y = cos 3tx y y 2 4 1.5 2 0.5 -27 -0.5…

A: Given that    y=cos(3πx)   To draw the graph of y

Q: Question 7 of 18 Find the point (xo, yo) on the graph of y x39x2 3x - 5, at which the slope of the…

A: Given:

Q: 1 Find the points of discontinuity of y = where и +и - 2 1 u = * - 1

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Q: The tangent line to the graph of y = g(x) at the point (4, 2) passes through the point (1, 8). Find…

A: topic - slope of a tangent line

Q: (a) If g(x) = x2/3, show that g'(0) does not exist.(b) If a ≠ 0, find g'(a).(c) Show that y = x2/3…

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Q: Let f(6) = -3 and f'(6) = 8. Then the equation of the tangent line to the graph of y = f(1) at z = 6…

A: The standard equation of the slope-intercept form helps to find the required equation of tangent.…

Q: 45. Find the coordinates of all points on the graph of -1-2at which the tangent line passes through…

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Q: Use the graphs to approximate the number of points of intersection of the graphs of y1 and y2 y1 = 3…

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Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: The curve y = ax + bx +c passes through the point (1,9) and is tangent to the line y = 4x at the…

A: Please see the answer below.

Q: The curve y = ax + bx +c passes through the point (1,4) and is tangent to the line y = 3x at the…

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Q: х2—4 Use the guidelines for sketching the curve f (x) = ln х2-3х-4.

A: please see the next step for solution

Q: (2) Find all points on the graph y = x3 - 12x + 9 with horizontal tangents. Find dy d2y and dc d2…

A: Given:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: EXAMPLE 6 Find an equation of the tangent line to the parabola y = x2 - 6x + 8 at the point (1, 3).

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Q: (a) If g(x) =x2/3 , show that  g'(0) does not exist.(b) If a≠ 0 , find g'(a) .(c) Show that y= x2/3…

A: Given function is gx=x23. Differentiating the function with respect to x,…

Q: QUESTION 3 The graph of glx) - x*-4x² has a horizontat tangent at x -v7. Therefore: ox=V7 is an…

A: Given: gx=x4-4x2 has a horizontal tangent line at x=2.

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

A: y=sinx between x=-4π and x=4π

Q: sketch the graph over the given interval, with all transition points indicated. y = x + sin x, [0,…

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Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: Sketch the graph of y = -3 sin(x) on the axes below. 4 3 2 -7/2 7/2 37/2 27 -1 -2 -3 -4

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Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1. Find the absolute minimum and maximum values taken by the func- tion f(x, y) = x² + y² – x – y +1…

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Q: Riemann sits on the line normal to the curve y=x2 -3x+2 at x = 1

A: Given           y=x²-3x+2 and x=1  Slope of the curve is given by =dy/dx

Q: Exercise 25. For which x- values does the graph of y = e3a-2a²-4x has a horizontal tangent line?…

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Q: The tangent line to the graph of y = g(x) at the point (6, 8) passes through the point (3, 2). Find…

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Q: 1) Find a function y whose graph passes through the point (1, 2) and satisfies x?y' = y.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: EXAMPLE 3 Find the local maximum and minimum values and saddle points of f(x, y) = x4 + yA - 4xy +…

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Q: Question 9. A curve is given by y = v3x – In(3x). Find the minimum of the curve inside the interval…

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