Pr. #1) Find the exact value of So f(x)dx using the graph of f below.

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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

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Q: Find an equation for the line tangent to the graph of y=tan-1(x) at the point (1,π/4).

A: 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 equation of the line tangent to the graph of f(x) = 4 sin(x) at a = T.

A: Given,          fx=4sinx at x=π.

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…

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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: 14. Sketch the following function y = x2 + 2x. %3D a) Next, find the slope of the tangent line to…

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Q: For what values of a are the graphs of y = a* and y = 1 +x tangent at x = 0? Enter the exact answer.

A: Please see the explanation below

Q: For what value(s) of x does the graph of f(x) = 6x³ + 9x² – 216x %3D e a horizontal tangent?

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.

Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x)…

A: We know, ∫xndx= x(n+1)/(n+1)

Q: For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent?

A: Given query is to find the values of x for which function has horizontal tangent.

Q: 56. For what value of a does the graph of f (x) = e® – 2x have a horizontal tangent?

A: Given query is to find the value of x where tangent is horizontal.

Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: Find the equation of the line tangent to the graph of y = 3x cos x at the point (π, −3π).

A: Given Data: Equation: y=3xcosx Point: (x1, y1)=(π, −3π) The derivative of the given equation of…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

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: For what value of x does the graph of f (x) = 6sinx + sin?x have a horizontal tangent?

A: Given , fx=6sinx+sin2xWe have find the value of x for which the function have a horizontaltangent…

Q: What is the equation of the line tangent to the curve e + cos(x) =1 at the pointG.0) A (B) y=x+ C…

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=n

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

Q: For what values of x does the graph of f(x) = sin.x have a horizontal tangent?

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Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Does the graph of the function y = 6x + 3 sin x have any horizontal tangents in the intervalocce O…

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Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3…

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Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: 40. For what value(s) of x does fAx) = (x - 4x – 5) have a horizontal tangent?

A: 40.) f(x) = (x² - 4x - 5)³  So, f'(x) = 3•(x² - 4x - 5)²•(2x - 4) So, f'(x) = 6•(x² - 4x - 5)²•(x -…

Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

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Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: 41. Aroller coaster has the shape of the graph in Figure 19. Show that when the roller coaster…

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Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Find the equation of the line tangent to the graph of y = tan t at t = π/4.

A: Given that, the function of the graph  y = tan t at t = π/4   To find the equation of the line…

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

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Q: For what values of x does the graph of f(x) =sin x have a horizontal tangent?

A: Trigonometric function: - The fundamental six trigonometric functions have a domain input value that…

Q: Find the point(s) on the graph (x- 1)2+ (y +3)² = 16 where t tangents are horizontal.

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Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: How can I get the result? Which is the result?

A: The function is given by,