Approximate the following using the concept of linear approximation 9. Find the linearization of y = 3xe2x-10 at x = 5. a. 150 b. 33х- 150 с. 35 d. 30x + 55

Q: Find the points on the curve x = t – 4t – 9, y = t2 + 14t + 4 that have: A. a horizontal tangent…

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Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…

A: Given: P(h)=128e-0.157h

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A: Given: x=et……1y=te-t……2 where t≥0   To find: Slope of line tangent at x=3

Q: Find the linear approximation to the equation f(x, y) = 5 ln (x* – y) at the point (1,0,0), and use…

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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: 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: The gradient of the curve y =x+ 3x + 4x at the point where x =1 ise A В 4 13 D E 16

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Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: For a given table 6. 10 14 y 4 12 Find the value of at x = 2 using forward difference formula. dy dx…

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Q: H.W 1-Find a point that belongs to the curve y 2x + 12x + 2 where the tangent at this point is…

A: Given curve is y=2x2+12x+2 and a line x+3y+1=0. We have to find the a point that belongs to the…

Q: (b) Find the value of k for which 2y +x k is a tangent to the curve y +4x 20. %3D

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Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: Find the curve length of the given functions in the given interval

A: Find dx/dt and dy/dt using product rule.Then find (dx/dt)^2 and (dy/dt)^2.

Q: Find the linear approximation to the equation f(x, y) = 2 ln(x* – y) at the point (4,255,0), and use…

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Q: Find the interval on which the curve dt 3 +t + 212 y = is concave upward.

A: Given: y=∫1x13+t+2t2dt

Q: Use differentials (that is, linear approximation) to approximate: 3.9 -e 0.05 483 O A. 250 193 О В.…

A: We Use the differential to find out the result.

Q: The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m

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Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 6x + 8y…

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Q: Given y=[cube rt]x, find the local linear approximation for y near x=-8 and use it to estimate the…

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Q: Ive by the method of variation of parameters (without using formulae): D°y + 2Dy + y = e* /r°.

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Q: Find the minimum speed of a particle with trajectory c(t) =(t 3 − 4t,t 2 + 1) for t ≥ 0. Hint: It is…

A: Given a particle with trajectory : c(t)=(t3-4t , t2+1)    for t≥0 We need to find the minimum speed…

Q: Find the points on the curve  x=t^2−18t−4, y=t^2+10t+6   that have: a) a horizontal tangent line,…

A: We have to solve by derivative rule

Q: Given = (1 + x -- k) dy da 13 What is the value of k such that y is perpendicular to the curve y =…

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Q: 20. The curve 2x2y+ y 8x +1 passes through (4, 1). Using the tangent line to the curve at the point…

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Q: Use the linear approximation of the following. (Answers are to be expressed in 4 decimal places, no…

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Q: Find the linear approximation to the equation f(r, y) = 4 ln(z – y) at the point (2,15,0), and use…

A: Given: fx,y=4lnx4-y We have to find the linear approximation in two variables.

Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

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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: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Find all points on the curve where the tangent line has the given slope. (If an answer does not…

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Q: 3:09 AM ...0.1KB/s at 40 < April 8, 2020 22:10 2. At what point on the curve y= 4-3e* +8x is the…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. 35.89 2

A: find the value of 35.89 using linear approximation Linear approximation of f at a is  Lx=fa+f'ax-a

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: Grass clippings are placed in a bin, where they decompose. For 0 sts 10 , the amount of grass…

A: First find the Linear approximation function of the A(t) then solve the problem.

Q: For the implicit curve y + xy + x2 = 3, find a point on the curve where the tangent line is…

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Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=4 is 4x+7y=−54…

A: Given The tangent line to the graph of y=gx at x=4 is given by 4x+7y=-54

Q: Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph of,…

A: To find the gradient of the tangent line of the point (5,1) on the graph of x+xy+2y2=12 Formulae…

Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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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: To estimate the speed whent = 1, we need to estimate vave = 51.28 - 1.86h when h approaches This…

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Q: Suppose a person wants to travel D miles at a constant speed of (60 + x) mi/hr, where x could be…

A: Given that speed is  s=(60+x) mi/hour time required to travel D miles is T(x)=60D(60+x)-1 in minutes

Q: Find the linear approximation to the equation f(x, y) = 4xy – 6xy? at the point (2,1,-4), and use it…

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Q: 10. For x(t)= t² +t,y(t)= e³' find the values oft where the curve is concave down.

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Q: From the following answer what is asked: f(x,y) = x2 e-y , (3,0), v = 3i + 4j d) In which…

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Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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Q: Given the graph of the linear function y = k(t) with k(6) = 24. %3D y 2A A 6 t 8.1 Show how you use…

A: 8.1) Given:     y=kt with k6=2A Area ∫06ktdt        Substitute kt=2A            =∫062A dA