1 he graph of y = and the x-axis to the right of x = 3. (If not posi (4x – 3)3/2

Q: Given y=xx+4). Plot any stationary points, inflections points, and cusps which may or may not exist.…

A: Given, y=x23x+4 Used formulas, ddxxn=nxn-1ddxconstant=0Product rule of…

Q: of the function. y = 9x2 + 18x - 6 rabola with axis of symmetry at x = rabola with axis of symmetry…

A: We have to choose the correct answer from the given options according to the given information

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from reflecting about…

A: If a function is reflected over the y=x line then (x,y) → (y,x) This means y=ln(x) will become…

Q: Find the x-coordinate(s) of the point(s) at which the graph of g(x)=(2x-1)(x^2 +3) has a tangent…

A: Solution:- Step-by-step solution of the above question is given below. The given graph is…

Q: Which of the following describes the behavior of the graph of y = |x² – 16| at x = 4: a.…

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Q: Solve the following maxima/minima problems. 1. Find the point on the curve y² = ; (x + 1) which is…

A: As many Questions are given , So I will solve only one the first  question: We are given the curve…

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: Find two explicit functions by solving the equation for y in terms of x, (b) sketch the graph of the…

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Q: 4 d.x x2 + 16 0.

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute…

Q: based on the period f(x)=3sin[2(x-30)]-4 how should the horizontal axis of the graph be scaled?

A: Let us plot the graph f(x)=3sin[2(x-30)]-4. Here, the period of the function f(x)=3sin[2(x-30)]-4…

Q: The graph of ax + b f(x) = (æ – 1)² has a horizontal tangent line at (–3, –). Find a and b.

A: For horizontal tangent line at a point derivative of the given curve is zero , just used it and…

Q: If the graph of Y=f{X) contains the point (0,2), dy dx and f(X) > 0 for all X, then yet? f(x) =

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Q: Sketch the graph of y = sin (x − c) for c = −π/4, 0, and π/4. How does the value of c affect the…

A: Graph of y=sinx--π4

Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

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Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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

A: Consider the given function y=-3sinx

Q: - Storting with the graph fe) =4° -) shifting 4 unit downward 2) Shifting I unit to the right = 3)…

A: Perform the given transformations.

Q: 50 Find the length of the curve whose equation is given by r = e on 0 < 0 < 2T.

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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: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 andg' (6) = 3.…

A: Slope intercept form-  Y = mx + c  m = slope = g'(x) At x=6,  m= g'(6) =3 c= intercept on y axis…

Q: Draw the graphs of y =x and y, = e* on the same coordinate's axes. Estimate the root of the equation…

A: To draw the graph of the given equations

Q: Consider the following. a) Verify that the given point (7,7) lies on the curve. x3 + y3 = 14xy b)…

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Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: sec(2x+π) eq

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Q: 3. A(2) = 4e+5 To graph y = h(z) how should we transform the graph of y = e? Domain Range

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Q: The (1) is given by the equation (1) : y = -2x + 3 and let (P)y = x2 + 3.x +1 be a parabola. 1. Find…

A: Answer :

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: Consider the following. x1/2 + yl/2 = 8 dy Find dx () dy Find the slope of the graph of the equation…

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Q: 1 Find the Domain and Range for y = 1-√5-x Graph and find the domain and range for y = sin²x + 1

A: 1) The given function is: y=11-5-x

Q: |The graph of ах + b f(x) = (т — 1)(» — 4) has a horizontal tangent line at (2, –1). Find a and b.

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Q: 1. For the function y=e* , draw the graph for 0<x<2, taking intervals of 0.5 and state the…

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Q: A student who missed class today isn’t sure if this is the graph of y cos(0) or y = sin(0). Explain…

A: This question can be solved using the points through which the graph pass.

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from reflecting about…

A: Given: y=lnx equation of the graph that reflecting about y-axis will be y=ln-x

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: Find the points where the graph of 2y-x+4x-6y+1=0 has horizontal or vertical tangents.

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Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

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: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

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Q: If y = x* - 4x° - 8x², the points at which the tangent to the curve is parallel to the x-axis are A.…

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Q: The graph of y = fx) and the tangent to the curve at x = 1 is shown below. ..... 5 3 y - f(x) -1 0.

A: Consider the given figure.

Q: 9) Find the point(s), if any, where the graph has a horizontal tangent for 3x4 %3D = - 3x2 f(x) = 4…

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Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

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Q: Find the values of a and b for the curve x2y +ay2 = b if the point (2, 2) is on its graph and the…

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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: Given x +y' - 3y = 4 a) At what value(s) of x does the graph have a horizontal tangent? b) At what…

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Q: As shown the graphs of y = 2x, y = 3-x, and y = -ln x. Match each curve with the correct function.

A: x 0 x→-∞ x→∞ y=2x 1 0 ∞ Therefore, graph of y=2x is graph B.   x 0 x→-∞ x→∞ y=3-x 1 ∞ 0…

Q: Of the following, which represents the graph of x-y=-1? Assume the tick marks are at 1 unit…

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