1. Graph the function f(x) = sin(x)-2. Answer: y -2n 2 -1+ -2+ -3+

Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: What is the MOST acceptable method to determine the general solution for the function: y" – y'- 2y =…

A: The most suitable method for the general solution of the ordinary differential equation is method of…

Q: Solve the equation for x in terms of y if 0 < x < π and 0 < y < π.sin x/3 = sin y/4

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: The graph of the implicit equation x2+3xv+4v² = 1 is shown here with lines indicating where the…

A: In this question, we find the point of intersection with the curve and horizontal tangent to the…

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: How does the graph of y = -2 sin x differ from the graph of y = sin x?

A: we know that  sinx∈-1,1

Q: 12. Given the point ( 2, 1) on a tangent line to the curve ƒ(x) = x² − 2x + 5 find the point(s)…

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Q: [4] Solve for x in the equation: arctan(x+1)+arctan(x-1)=arctan(12)

A: Topic = inverse Trigonometric ratios  solution of eqution x=43

Q: Find a function 0f nH al =0 y Co) = 7 y (o) =/

A: The differential equation is given as y'''-8y''-y'+8y=0 The corresponding auxiliary equation is…

Q: - sin 2x %3D already graphed y = sin x for you. How c y%3D 2 with x changed the graph?

A: Here if we do 2x than graph compress

Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: 1. Find 2 for y defined implicitly by the equation tan(x?y*) = 3x + y?

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Q: What should I do to graph functions of the form y = A sin Bx if B is negative?

A: How to make graph of y=A sin Bx if B is negative.

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Solve for y in equation y e" sin x + e cos x - y+ C.

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Q: Graph y = sin x + cos x for x between 0 and 4p.

A: Sketch the graph of the function y = sin x + cos x for x between 0 and 4p.

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: Sketch the graph from x = 0 to x = 4p.       y = sin  x - cos x

A: Given function y=sinx-cosx.

Q: r = -1 + cos 0 0=t/2

A: In the question we have to find the slope of function -…

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: Which of the following equations below DOES NOT represent a function? 16 9. 3x +5y-8 sin(2x) = y +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: 3. The slope of the tangent line to f(x) = A tan(x) is 1/2 when x = 27/3. Deter- mine the equation…

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Q: How do you graph the function y = 1 + sin x?

A: We have to graph the functiony=1+sinx

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: (c) tan x = 10t' (e) tan 12t-x¹2 (d) 16 sint- cos 17x= cost, = sin 12x.

A: For the derivatives of the given functions dxdt are as follows (d) dxdt=-(sint+16cost)17sin(17x) (e)…

Q: 4. Determine the equation of the axis of the function f (x) = -3 sin (x – 2)- 6

A: Given that: f(x)=-3sinπ4(x-2)-6

Q: Find the general solution for y' = sec x + y tan x %3D

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Q: Find an equation for the graph. O A. y= 3 sin 2x O B. y= 3 sin 5x OC. y=2 sin - O D. y=2 sin 3x

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Q: Solve sin 2x = - sin x for the interval x E [0, 31].

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Q: 2) Sketch: y = -x(x + 50)(x – 1000)(x + 1)

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Q: 21 Find the equation of the tangent i ne OF the graph of yEra y= xe at the point ( ). y=? -2X

A: The objective is to find the equation of the tangent line.

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

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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: 2 points . this function u = x2 + y? is harmonic? True False

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Q: Graph the function. 1. y = 3 sin 2x + 2

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Q: h(x) = x – sin x for 0 <x < 4A -

A: Given the h(x)=x-sinx for 0≤x≤4π We need to determine: a)the intervals of monotonicity for the given…

Q: Sketch the graph from x = 0 to x = 4p.         y = 2 sin x - cos 2x

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Q: 5. Compute f sec (x) tan(x) dx

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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: 12. Given the point ( 2, 1) on a tangent line to the curve f(x) = x² – 2x + 5 find the point(s)…

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Q: 1 x³ -1 y =e*(dsin 3x- tanx')+- 10 y' = ? (fx +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: 3. 2. The graph of the function y=V1+x is given below. a. Find dy and d'y dx dx -2 b. Find the…

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Q: Make a table using multiples of r/4 for x to sketch the graph of y = sin 2x from x = 0 to x = 2x.

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Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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Q: (1) Y= -cos x (2) Y= cos 2x (3) Y= 2 cos x

A: Given functions, (1) Y= -cos x (2) Y= cos 2x (3) Y= 2 cos x

Q: 2- find dy/dx ex = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x - 2x?,…

A: 2. Given function is: e2x=sinx+4y Differentiating with respect to x we get,…

Q: Choose the correct graph of y = sin x, - T < x < 2 T; and y = csc x, - T < X< 2T: 2 1 27 -1 -2

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