9) The table below gives specific values for a differentiable function p(x). Perform a tangent line approximation to estimate the y-intercept in the graph of y = p(x). Show the calculations that lead to your answer. 1 3 4 6 9 P(x) 0.4 0.5 0.7 1.1 1.8

Q: Let f(z) = 2x? – 10z + 6 The slope of the tangent line to the graph of f(x) at the point (1, – 2) is…

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Q: 8) Find all values of t for which x = +5, y = t lnt – t has a vertical tangent line

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: " Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: 1 as follows: Let f(x) 1 and find Use linear approximation, i.e. the tangent line, to approximate…

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Q: Let f'(x) = e and g(x) = f(Vx). Let L denote the slope of the tangent line to the graph of the…

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Q: Some values of adifferentiable function f and its derivative are given below. 2. 4. 15 13 10 6.…

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Q: Suppose f(-1) = 3, f'(-1) 2, and g(x)= r'f(2). The tangent line to g(r) atz= 1 is given by Y

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Q: 1) Let f be a differentiable function that passes through the point (2, 3). Suppose g(x) = f(Vx) and…

A: First note that slope of tangent is given by the derivative of that function at that point.…

Q: 4. Find the equation of the tangent line to f = 10** at x = 0. А. у %3D 1 B. x = 1 D. y = x – 1 E. y…

A: Tangent line equation =>y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate…

Q: 7) What is the equation of the tangent line of f(x) = xe"+ 3, at x = 0 a) Y= x+3 b) Y= 3 c) Y=…

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Q: 10. Iff(x) = Vx find f (4). 11. Use the limit definition to find the derivative of f(x) = x² –2 x.…

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Q: Suppose the linear approximation for a function f(x) at a = 2 is given by the tangent line y = -3x +…

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Q: Use linear approximation, i.e. the tangent line, to approximate 3.7° as follows: Let f(x) = x°. The…

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Q: Suppose f( – 1) = 3, f'(– 1) = 6 , and g(æ) = x°f(x). The tangent line to g(x) at x = 1 is given by…

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Q: Suppose the derivative of H(s) is given by H'(s) = s(s + 6)(s+ 4). Find the value of a in the…

A: Given that H'(s)=s2(s2+6)(s+4)for minimum value of H(s)H'(s)=0s2(s2+6)(s+4)=0s=0,     s2+6=0,…

Q: 21 Find the value of c such that the line y = -x + is tangent to the curve y = c/x.

A: Given line ⇒y = 76x+212    .....(1)curve y = cx   ....(2)Differentiating w.r.t 'x'       (2)y' = c2x…

Q: Use linear approximation, i.e. the tangent line, to approximate 2.9° as follows: Let f(x) x'. Find…

A: The equation of the tangent to the function is given by the formula , The derivative of the function…

Q: 3. Find the slope of the tangent line to the curve y = +2 x*+4x+7 4. Determine and 4 of y = (5.x² –…

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Q: Consider the function f(x) = x ² + 3. Part 1: Compute the slope of the the tangent line to y = x2 +…

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Q: (d) Suppose that y(x) is a function and that y(2) = 1. Let y² + y = x. Using implicit differentian…

A: y2+y=x  Differentiating both sides with respect to x  ddxy2+y=ddxx    2y+1y'=1    y'=12y+1

Q: 16. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is 3π 2 A.…

A: This is a basic application of derivative problem

Q: suppose u and v are differentiable functions of x. Use the given values o fthe functions and their…

A: Consider the given information: u2=6u'2=2v2=-3v'2=-4 Consider the given derivative. ddxuvx=2

Q: Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the…

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Q: Calculate the appropriate limits to find the following: (a) The instantaneous velocity at time t = 4…

A: (a) compute the instantaneous velocity at time t=4 as follows. Take ft=t+22-1. Its derivative is…

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give…

A: Given: fx=x2sin1x,x≠00,x=0

Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: ンポー、さーポナス 2 an equction of the line tangent too X=t-1 y=t+t the point corresponding Find at to t=2,

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Q: 3) Find the slope of the curve defined by f (x) = x° sin x at x = T. 4) Differentiate g(x) = e* .

A: The slope of a curve y=f(x)  at a given point x=a is the value of dydx  at the given point x=a. So…

Q: Use linear approximation, i.e. the tangent line, to approximate 1.3 as follows: Let f(x)=√x. The…

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Q: 9. Find the equation for the tangent line to f(x) = at A)9x+25 y=-34 B)9x+25 y =-24 r=-1 C)-9x+25y =…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 1 and y = g(æ) has a 1, then the graph of y = f(x)g(x) has a horizontal tangent line at ) and g(x)…

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Q: (a) Find the slope of the line tangent to the curve y = sin x at the point where x = T/3. (b) Show…

A: (a) we have to  find the slope of the tangent line to the curve y=sin5x at the point where x=π3. as…

Q: (d) Suppose that y(x) is a function and that y(2) = 1. Let y² + y = x. Using implicit differentian…

A: The objective is to find y'(2)and find the equation of tangent line to y(x) at x=2.

Q: po Suppose h(x) = Vf(x) and the equation of the tangent line to f(x) at x = 1 is y = 4 + 1(x – 1).…

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Q: Suppose g: IR →IR is a differentiable functionN with bounded derivative, Fix e> 0 , and defive fix)…

A: Consider the given information.

Q: Use linear approximation, i.e. the tangent line, to approximate V1.4 as follows: Let f(x) : Va. The…

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Q: Suppose z is a differentiable function of x and y implicitly defined by the equation E : 2³ + xe² =…

A: Given function z3+xez=2-y3+lny3 cos(y+1)

Q: (3) Find the equation of tangent to the curve given by x=d cos' o y=a' sin'e at point o- VE (x+ y)…

A: Given the equation of curvesx=a3cos3ϕy=a3sin3ϕ

Q: Find the slope of the tangent line to the curve y = g²+4r+7 at the point (0, 3). 7a+2 Determine da…

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Q: 7 Find the value of c such that the line y =-x + 7 is tangent to the curve y = cyx. 4 с 3

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Q: 2. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is A. 2y +…

A: Wr have to find the derivative of the given function first.

Q: 2. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is A. 2y +…

A: Equation of tangent line through A(x1 , y1) is given by :- y – y1 = slope x (x – x1)

Q: Q 1. a) Let y = x® – 5x³ + 5x* – 10. Then find minimum and maximum values. b). By using definition…

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Q: f(z) = In(x² + 3) Find the derivative and evaluate it at x = -4. – 4. %3D f'(– 4) = Preview Find a…

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Q: 3. Find the equation of the tangent line to the curve at (1,2) * y = 5 - x O A. x-6y + 22 = 0 O B.…

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Q: 3) Suppose g(x) is a differentiable function such that gl-4) = 0 and g'(-4) = 3. Find an equation to…

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Q: 9. Find the equation for the tangent line to f(x) = at *=-1 A)9x+25 y =-34 B)9x+25 y=-24 C)-9x+25y…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 1 as follows: Let f(x): 1 and find Use linear approximation, i.e. the tangent line, to approximate…

A: A nice point near 0.203 is 0.2  f(x)=1xf'(x)=-1x2At x=0.2f(0.2)=10.2=5f'(0.2)=-10.22=-25 This means…

Q: Suppose f(-1) = 1, f'(-1) = 5, and g(x) = x³ f(x). The tangent line to g(x) at x = 1 is given by y =

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