Use linear approximation, i.e. the tangent line, to approximate v36.4 as follows: Let f(x) = Vx. The equation of the tangent line to f(x) at x = 36 can be written in the form y = mx + b where: т %3 Using this, we find our approximation for v36.4 is NOTE: For this last part, give your answer to at least 9 significant figures or use fractions to give the exact answer.

Q: Use linear approximation, i.e. the tangent line, to approximate V16.2 as follows: Let f(x) = Va.…

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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: Given the linear approximation at a = 0, determine the largest value of such that the 1 linear…

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Q: Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

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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: For the position function, s(t)=-16t2+103t​, complete the following table with the appropriate…

A: Consider the position function, s(t) = 16t2+103t.

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: Given: tan-1(e0.13-0.8) Get the local linear approximation to estimate the value of the given

A: According to question given that tan-1e0.13-0.8

Q: Given x³ + xY 6x = 1 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A: Let's find.

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

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Q: Consider the equation f(x) = x* + 2x – e* – 3, approximate the root with accuracy up to 2…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: |21. If a ball is projected upward from the ground with initial velocity vo and resistance…

A: Resistance is proportional to v2 hence, resistance = -ρv2

Q: Give estimates, using linear approximation, for v9.2 and sin ( +0.02).

A: 9.2 Now let, fx=x,  x=9  &  ∆x=0.2 Differentiating with respect to x, we get f'x=12x Now,…

Q: If we approximate f(2)=3.4 using the tangent line, where f'(2)=4, f"(2)=-3, then is this…

A: Clearly from the above statement as second derivative is negative so the actual value is less than…

Q: Find the equation of the tangent line to y = e¯4t at t = 0.

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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: (a) Find the equation of the tangent line to y = lnx at x = 1. (b) Use the tangent line to calculate…

A: solve the following

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: Given x° + xy – 6x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy…

A: We can solve all the parts as below

Q: For the position function s(t) = - 16t + 108t, complete the following table with the appropriate…

A: Given data:     The expression for the position function is: s(t)=-16t2+108t.   Substitute 1 for in…

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: 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 an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) e2a+e .If the curve…

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Q: .4. The approximate value of y=V4+sin.x at x=0.12, obtained from the tangent to the graph at x = 0,…

A: 14)  y=4+sin xy=4+sin x12 Differentiate with respect to 'x' As,  dxndx=n xn-1d sinxdx=cos x…

Q: The period T of a simple pendulum is given by T=2π√L/g where L is the length of the pendulum and g…

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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: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

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Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

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

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Q: Solve the following equation using the polygon method for Ax = 0.1 with range x from x-0 to x=0.8 dy…

A: We will solve the problem by first finding "mean value of interval" and the "slope at midpoint".

Q: (2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3() v' +. -v = g. |t…

A: Given equation is in variable separable form so we need to separate v and t and then integrate it…

Q: Find the linear approximation, L(x), of at x = 9. Use this to approximate f(11). Do you think your…

A: Let take a function: fx=x The linear approximation can be calculated as: Lx=fa+f'ax-a…

Q: For the position function s(t) = - 16t + 110t, complete the following table with the appropriate…

A: Consider the position function

Q: Use linear approximation, i.e. the tangent line, to approximate V8.1 as follows: Let f(x) = a. The…

A: To approximate ³√(8.1)

Q: Given x + xy – 2x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

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Q: 2. For s(t) = 30 sin t, make a table of average velocities and make a conjecture about the…

A: As per bartleby guidelines we only give first question answers.

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: Given x+ xy - 6x 3: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy…

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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: 3 Q2: a) By using the function: f(x) = Vx2+5 Find: 1-The equation for the tangent line at x 2 2- 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: Use linear approximation, i.e. the tangent line, to approximate V1.4 as follows: Let f(x) : Va. The…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A: cos32° It can be written as, cos32°=cos30°+2° Now, fx=cosx, x=30° & ∆x=2°=2π180 radians Now…

Q: 3 If the length of the curve y = 4 xž from the point (0, 0) to the point (xo, f(xo)) is L = ((20737)…

A: Given,          The length of the curve y=4x32 from the point 0,0 to the point x0,fx0           is…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: use Euler's method to obtain an approximation to four decimal places of the indicated value by first…

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