Graphs of the velocity functions of two particles are shown, where t is measured in seconds. UA (a) When is the particle in figure (a) speeding up? (Enter your answer using interval notation.) When is the particle in figure (a) slowing down? (Enter your answer using interval notation.) (b) When is the particle in figure (b) speeding up? (Enter your answer using interval notation.) When is the particle in figure (b) slowing down? (Enter your answer using interval notation.)

Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87). (b)…

A: a) The slope of the tangent is the derivative of the function, dy/dx. m=dy/dx

Q: (a) Find an equation of the tangent line to the curve y =tan(π x2/ 4)at the point (1, 1) .(b)…

A: We find the derivative of the function using the chain rule then we plug x=1 to find the slope

Q: An equation of the tangent line to the curve C at the point (1, 2) is A у — 2%3 B y-2=2(x-1) ©…

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point : g(x) = x³ +…

A:

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: 66 - 70: Find an equation of the tangent line to the curve at given point. 66.y — е "sinz; (т,0)

A:

Q: 1. The hiking trail starts at the foot of a steep hill that follows a trajectory described by the…

A: Find your answer below

Q: 51-54 Find an equation of the tangent line to the curve at the given point. 54. у — хе *, (0, 0) -x?

A:

Q: 8. Question: If you know the point (5, –1) lies on the function and that the point (2,7) lies on the…

A: Answer

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h…

A: We will find the equation of tangent line as shown below

Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y = x² – 4x + 6 at the point (1, 3).…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 5 if g(5) = −4 and g'(5) = 3.…

A:

Q: 60. Find an equation for the tangent line to the graph of 2х + 3 at the point (2, 343). x - 1

A: y=2x+3x-13 Differentiating with respect to x, we get dydx=ddx2x+3x-13=32x+3x-12·ddx2x+3x-1…

Q: A graph of the velocity function v(t) of an object moving in a straight line is given above.…

A: The velocity time graph of an object is shown above in the question.

Q: Consider the graph of f (x) = 16 – x². f(x) P Find the coordinates of the point P in the graph at…

A:

Q: 9. The graph of the velocity function of a particle is given, where the horizontal axis is measured…

A: Given- The graph of the velocity function of a particle is given, where the horizontal axis is…

Q: a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the…

A: a) f(x)=x(x-1)2b) y3+3xy+x4=5 at the point (1,1)

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 −…

A: The equation of the tangent line to the curve f(x) at a point (x1, y1) is given by:

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b)…

A: Tangent line

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: 10. Find an equation of the tangent line to the graph of y = x - 3x? + 2 at (1,0). 11. Find an…

A:

Q: Use a graphing device to approximate to two decimal places, the value of x where the graphs of the…

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Q: Graphs of the velocity functions of two particles are shown, wheret is measured in seconds. UA (а)…

A: (a).  The graph in this part is the graph of velocity function which is increasing on (0, 1)  and…

Q: A point P moves along the curve y = x2(ex)-1 in such a manner that the abscissa moves at a rate of…

A: Given Data: The given curve is y=x2ex-1. The rate of change of abscissa is dxdt=11 unit/s. The…

Q: 61-63 Find an equation of the tangent line to the curve at the given point. x - 1 x²? + 1' 62. y =…

A:

Q: The slope of the tangent line equation to the graph of the function y = 4/a - 6 a %3D O 0.17 O -0.50…

A:

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a)…

A:

Q: A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center…

A:

Q: At what points do the graphs of the functions in Exercises 25 and 26 have horizontal tangent lines?…

A: We need to find the horizontal tangent lines of the given curves(a)  f(x) = x2 +4x -1

Q: 152 CHAPTER 2 LIMITS AND DERIVATIVES temperature is 75°F. The graph shows how the temperature of the…

A: To find the rate of the change of the temperature after an hour.

Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

A: Given a function  y=ln x2/3, find an equation of the tangent line to the graph of the function at…

Q: ax + b (x – 1)(x – 4) at point (2, – 1), determine the values of a and b. If the graph of the…

A: Given: g(x)=y=ax+b(x-1)(x-4) Since, the point (2,-1) is lying on the given curve. So, when x=2,y=-1.…

Q: 2. Plot/Sketch vr(t) as a function of time t E [-4 : 4].

A: Since solve the first question for you. If youwant any specific question to be solved then please…

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: A mouse Q runs along the positive y-axis at the constant speed v at the origin. A cat P chases the…

A: It is given that∙Mouse Q runs along y-axis with a constant velocity v1∙Cat P runs along curve C with…

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x +…

A: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 9/2 x…

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

A:

Q: 2) a. The graph ofthe function f(x) = ax?+ bx + c has the y- intercept of 3, and its tangent at the…

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Q: 3. A stone is thrown upward from an initial height of 200 feet with an initial velocity of 40 the…

A:

Q: Find all values of x at which the tangent line to the curve y = 2x+3 x+1 has the y-intercept 2.…

A:

Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b)…

A:

Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y = x2 - 4x + 6 at the point (1, 3).…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: How long will it take for 1000 to decay to 500 with a loss of 3% a year (approximate historical…

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

Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: The graphs of ƒ(x) = x² + 5 and g(x) = -x² + 2 share two common tangent lines. Find the equations of…

A: Here we will find the equation of common tangent,

Q: 66 - 70: Find an equation of the tangent line to the curve at given point. 70. y = 10" ; (1, 10)

A:

Q: 3 at 9, %3D Find an equation of the line tangent to the graph of f(x) = - The equation of the…

A: Topic:- application of derivatives

Q: 5. a) Identify f, f', and f' from the graph below. b) Sketch the graph of the derivative in the…

A: