A body moves on a coordinate line such that it has a position s=f(t)=t^2-6t+5 on the interval 0 is less than or equal to t is less than or equal to 5, with s in meters and t in seconds.   a. Find the​ body's displacement and average velocity for the given time interval. b. Find the​ body's speed and acceleration at the endpoints of the interval. c.​ When, if​ ever, during the interval does the body change​ direction?

Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

A: given: x3y + y3x= 10differentiate given equation with respect to xx3 ddxy + y ddx x3+ y3ddxx+ x ddx…

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

A: Given,  y = 2x3-x2+2   and the point 1, 3 We have to find the equation of the tangent line at the…

Q: Find the slope of the tangent line to the graph at the given point. (4 – x)y? = x³, (2, 2) Cissoid:…

A: Slope of tangent line =dydx(4-x)y2=x3differentiating w.r.t 'x'y2d(4-x)dx+(4-x)dy2dx =…

Q: find the slope Of the followiny functions at the gruen point: at Xo to JL

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Q: 2 Find the line tangent to the curve r3 +y3 at the point 4 (-3/3, –1).

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Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: 4. Find the equation of the tangent line to the curve y = 5x– 6/x at the point (1, –1).

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Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: 2 Find the equation of the tangent line to the curve y =xNx +5 at the point (2,6)

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Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: Find the equation of tangent lineto the cubic x^3-6x^2+10x+8 parallel to the line y=x

A:

Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at…

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let…

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: If f(x) describes the position of an object over time, what is the average velocity on the interval…

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Q: 9) If f(x)= x' – 3x, find the equation of the tangent line at x = 2.

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Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

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Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

A:

Q: 7. Find the slope of the line tangent to the curve at the point (2,1). x²y + xy² = 3x %3D

A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: What is the value of the slope of the tangent line to the curve y+y S passing through the point with…

A:

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

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Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

A:

Q: Find the slope of the line tangent to the graph of x2+2xy2+3y=31 at th epoint (2, -3)

A: To determine the slope of the tangent at the point (2, -3).

Q: 2. Find the equation of the line tangent to x³ – 3xy + y = 1 when x

A: Given:               x3-3xy+y3=1,     x=0 at x = 0               0-30y+y3=1y3=1y=1 The slope of the…

Q: What is the value of the slope of the tangent line to the curve *+4xy+y2=13 passing through the…

A: Note : As per guidelines, I have to answer Only one question, if you want other questions to be…

Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

A:

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

A:

Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: 3. Find the slope of the line tangent to f(x) = In(4x² – 3) at (1,1).

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

A:

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

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Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

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Q: Suppose that y is inversly proportional to x. If y = 6 when x = 3, find thd constant of…

A:

Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

A:

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

A: We have to find the slope

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

Q: -1 Where on the curve Y (1+ x2)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:- y = (1+x2)-1 To find:- Point where tangent line on given have greatest slope

Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

A:

Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

A:

Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…

A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.

Q: Pls help ASAP

A:

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

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Q: What is the value of the slope of the tangent line to the x²+4xy + y=13 passing through the point…

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

Q: Find an equation of the line tangent to f(x) = Va at (4, 2).

A: equation of tangent line

Exponential Growth Model

The relation that represents an exponential function is: