Use linear approximation, i.e. the tangent line, to approximate V8.1 as follows: Let f(x) = a. The equation of the tangent line to f(x) 3 3 %3D at x = 8 can be written in the form y = mx +6 where m is: and where b is: Using this, we find our approximation for V8.1 is

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: 1. Differentiate G(x) = Ax+Bx+C 2. At what point on the curve y= 1 + 3e* – 3x is the 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: Given that the line y= 2x +c is a tangent to the curve y = kx, where c and k are positive constants…

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Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ___ If…

A: Topic = Derivative

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A: the slope of the secant line over the interval [1, t]   For slope of the tangent line, replace t…

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Q: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The…

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Q: Use linear approximation to approximate v25.1 as follows. Let f(x) = Vx. The equation of the tangent…

A: equation of tangent line is :  y - y1 = m ( x - x1 )  here m is a slope and ( x1 , y1 ) is a point…

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

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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…

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Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

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Q: The equation of the tangent line to the curve y = 1 at the point (3,-) is Vx +1 A. x+16y +11=0 B. x+…

A: Please refer the attached solution. None of the option is correct here . I have solved it…

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: If f '(1)=4, f(1)=2, and g(x)= f(x)·tan¬(x), what is the slope of the tangent line to the curve…

A: We can solve the problem by obtaining the tangent by doing derivative of the function given.

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Q: 2. Calculate the slope of the tangent to the given function at the given point or value of x. 3 %3D…

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Q: Consider J(0) = 30* + 1. Let e = 0.001, compute the numerical approximation to the derivative at 0 =…

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A: solve the following

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Q: Find the equation of the tangent plane to z = e + x + x³ + 9 at the point (2, 0, 20). z =

A: According to question We have to calculate the equation of the tangent plane .

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Q: Find an equation of the tangent line y(x) of r(t) = (t',tº) at the point t = 1. (Use symbolic…

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Q: Let s(t) = V25 - t. Find the equation of the tangent line to s(t) when t = 0. y =

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Q: a. Find the equation of the tangent line to f(x) = (93 + x)-1/2 at æ = 7 y = b. Use your answer to…

A: We have to solve the problem

Q: Use linear approximation to approximate v25.1 as follows. Let f(x) Vx. The equation of the tangent…

A: The given functin f(x)=x at x=25

Q: Use linear approximation, i.e. the tangent line, to approximate 3.6° as follows: Let f(x) = x°. The…

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Q: Let Q(t) = t2. Find a formula for the slope of the secant line over theinterval [1, t] and use it to…

A: the slope of the secant line over the interval [1, t]

Q: The equation of the tangent line to f(r) = at z = 1 is y = ar +b and the tangent point is (1, c).

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Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

A: Consider, fx=x Differentiating with respect to x, we get f'x=12x Now slope of the tangent line at…

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: Let F(x) = dt. Find an equation of the tangent line to the curve y = F(x) at the point with…

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Q: Find the equation of the tangent plane to z = e9 +x + x³ + 6 at the point (3, 0, 253).

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Q: The third order derivative of the function y = In(1 – x) - at x = 0 is et O A. Undefined OB. C. 4 D.…

A: As per our guideline we supposed to answer only first question , kindly re post other as next…

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: Use linear approximation, i.e. the tangent line, to approximate V125.2 as follows: Let f(x) = Va.…

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Q: Find an equation for the tangent line to the graph of f(x) = -2x2 + 2x + 3 at the point where x = 1…

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y = 3. 'x+1 b) y = ()³ 5x+1 %3D…

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following equations at…

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Q: Use linear approximation, i.e. the tangent line, to approximate V27.2 as follows: Let f(x) = Vx. The…

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Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) Vr. The…

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Q: 5. Given the implicit curve, x2 – In (=) = 1, Write the linear approximation L(x) of the tangent…

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Q: Given the equation y In (x+y +6) 36, evaluate Assume that the equation implicitly defines y as a…

A: The equation is given by y lnx2+y4+6 = 6…

Q: 12 Find the slope of the tangent line, m, of g(x) = 3x2 −2x+ 4 at x = 2 a. m = 12 b. m = 3 c. m = 0…

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Q: If the Tangent line to y=f(x) at (1,2t pass through the point (0,3) Find l1) and f'(1) A. (1) = 0…

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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: The x- coordinate of the point on the graph of y = yx – 1 at which the tangent line is perpendicular…

A: Topic- application of derivatives

Q: Let f(x) = Vx. The equation of the tangent line to f(x) at = 1 can be written in the form y = mx + b…

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