At which of the five indicated points of the graph in the figure below y' and y" have the same sign? Explain your answers.

Q: 2 at the point ( 9, 2 is: The slope of the tangent line to the curve y The equation of this tangent…

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Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: If the first line has the form Ax + By + C = 0 the second line has the form Dx + Ey + F = 0 the…

Q: The curves f(x) = x + 2x + 5 and g(x) - x + 3 intersect at the point ( – 2, 5). Find the acute angle…

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Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: What is the most time-consuming part in using a graphing utility to graph a general second-degree…

A: To discuss about graphing utility.

Q: Find the equation of the curve whose slope at any point (x, is given and which passes through the…

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Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

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Q: cos y = x² – 4 at (2,4)

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Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

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Q: Find the equation of one of the tangent lines to the circle x^2 + y^2 = 5^2 that passes through the…

A: Here, to find the equation of the tangent line to the circle  x2+y2=52⇒x2+y2=25...(1) that passes…

Q: What is the slope of the line tangent to the graph of y= tan(2x) at x= -1? The slope of the tangent…

A: we have to find the slope of above equation at x=-1

Q: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the linearizations of    a. tan x at x = -pai/4  b. sec x at x = -pai/4. Graph the curves and…

A: Linearization of a function f(x) at a point a is defined by

Q: Find the equation of the curve that passes through the point (6, 6) if its slope is given by dy = 7x…

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Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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Q: Find the points where the line y=−3xy=-3x intersects a circle of radius 2 centered at the origin.…

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Q: 3 at the point 6, 2 The slope of the tangent line to the curve y |3| is: The equation of this…

A: Derivative y with respect to x and then substitute the given point to find the slope.

Q: the equation of the tangent line to the curve at the given point. y = x² In ¤; (e, e²) :The result…

A: We can find the answer as below.

Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: correct graph of y = sin x, -"sxs 2n and y = csc x, - sxs 2n on the same axis:

A: Solution:

Q: It is easiest to graph y = 2 secπx by first graphing______ .

A: It is easiest to graph y = 2 secπx by first graphing______ .

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: The curve with equation y²=5x⁴-x² is called a kampyle of Eudoxus.Find the equation of the tangent…

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Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = sin x - x on [0, 2π]

A: Given function - f(x) = sinx-xIntervals = 0, 2πUsing value of π as 3.14 to draw the curve,let us…

Q: 9 Find the length of the segment 16 between the lines. y- 1-x + arcsinx of the curve -0, x

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Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

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Q: Find the slope of the Curve r=-I+Sine atthe points 8=0,T-

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Q: 4. at the point 8, The slope of the tangent line to the curve y is: - The equation of this tangent…

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Q: Determine an equation for a cosine function with adjacent maximum at (60°, 5) and minimum at (150°,…

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Q: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

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Q: At the given point, find the line that is normal to the curve at the given point. 5x y-n cos y = 6n,…

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

A: We have to compare the graph of y=sin -x with y=sin x. We know that graph of f-x is always the…

Q: Find the points where the line y=−x/4 intersects a circle of radius 8 centered at the origin. Give…

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Q: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: solve for the equation in standard form then graph -Circle tangent to both axes at (−3,0) and…

A: solve for the equation in standard form then graph -Circle tangent to both axes at (−3,0) and…

Q: What is the slope of the line tangent to the graph of y = tan(-3x) at x= 2? The slope of the tangent…

A: Explanation of the answer is as follows

Q: Perpendicular to By=X-4 and passes through tha point G2,).

A: The perpendicular line is given as 3y=x-4......(1) The equation of line in slope intercept for is…

Q: The curve with equation y? = 2x³3+ 10a² is called a Tschirnhausen cubic. Find the equation of the…

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Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: Find the equation of the family of curves whose slope at any point (x, y) is -4e-2ª sin 2x. Find the…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y - 3)² = 37, (-3,…

A: To find the equation of the tangent line of the graph  x+22+y-32=37 at the point -3,-3

Q: The slope of the tangent line to the parabola y=2x^2+2x+7 at the point where x=4 is: slope =…

A: The equation of the parabola is y=2x2+2x+7

Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

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Q: What is the slope of the line tangent to the graph of y = tan (3x) at x = 1? The slope of the…

A: The given equation is y=tan-13x at x=1. The objective of the question is determine the slope of the…

Q: 2. If a curve is defined by the equation y = 4 cos x + sin 2x, what is its slope when x = 2 radians?…

A: 2 Given equation is y=4cosx+sin2x We have to find the slop of the function at x=2 radians.…