Consider 2 2.4 3 f(x) 0.8 5.5 Find the curve fitting y(x)- Ax + B

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

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Q: Q5: Does any tangent to the curve y vx cross the x-axis at x--1 If so, find an equation for the line…

A: It is required to find if any tangent to the curve y=x cross the x-axis at x=-1. First find the…

Q: Find the orthogonal trajectories of the family of curves y=Ce* +10

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Q: Find the curve y = f(x) in the xy-plane that has the given properties. f(x) has a slope at each…

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Q: 3. Find the average height of a point on the semicircle y =4- x over the interval -2 < x S 2.

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: Q2) Find all local Extreme and Saddle points of the 2x-2y +y +4 function f(x,y)-xy-x-y

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Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: 2. Find the lengths of the given curves: a) y = x/2 -x2,1sK< 4 L = V1+f(x)*dx 3

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Q: 11. Find k if the curve y=x +k is tangent to the line y= 2x.

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Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: Q3: Test the following function for minimum, maximum and saddle point. f(x, y) = 4x2 -6xy+5y2- 20 x…

A: Please refer the attached image for complete solution.

Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: Find the set on which the curve 8 dt t2 + 8t + 22 y = e downward. n interval notation):

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Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: 10, 6J. the Midpoint Rule with timate the folllowing. IL x. v) da How could you improve your…

A: As m=n=2 Therefore let us take the subintervals as: 0,3 and 3, 6 The midpoints od these subintervals…

Q: 2. Find the equation of the line tangent to the curve at the point indicated. Express your answer in…

A: As we know that; The slope of the tangent line to the curve at a given point Px0,y0 is equal to the…

Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

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Q: 0. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: Q2/Find the length of the curve T = sino + cose between -s0s

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Q: The tangent line to the graph of y = g(x) at the point (4, 2) passes through the point (1, 8). Find…

A: topic - slope of a tangent line

Q: 3. Trace the curve y (x-1)(x+3)'

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: х2—4 Use the guidelines for sketching the curve f (x) = ln х2-3х-4.

A: please see the next step for solution

Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: 9. Find the point on the curve y x² closest to the point (0, 1).

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

Q: I grad(f)•dr where C is graph of y = x² + 3x from (0,0) to (2, 14) and f (x,y) = ev/lx*•1}

A: The function is fx, y=eyx+1. Find: ∫Cgradf·dr…

Q: Find the Giniindex for the lorenz curve L (X)= 0.3X + O=7X 11

A: Given the Lorenz curve Lx=0.3x2+0.7x. Find the Gini index of the Lorenz curve.

Q: Find the orthogonal trajectories of the family of curves y^3 = 3(x-c). Draw a few representative…

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Q: 02) Find the orthogonal trajectories for the family of curves given by x²y = k where parameter k is…

A: to find orthogonal trajectory we need to differentiate the equation and then replace dydxby…

Q: If the length of the curve y = 4 x7 from the point (0, 0) to the point (Xo, f(xo)) is L= 1 (145)*…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: 4. Determine the constant a,b, c, and d so that the curve defined by f(x) = ax³ + bx² + cx + d has a…

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Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: The tangent line to the graph of y = g(x) at the point (6, 8) passes through the point (3, 2). Find…

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Q: 7. Use the second derivatives test to find any maximums, minimums, or saddle points of f (r, s) =…

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Q: 10. Find the points of inflection of the curve y f(x)=x³ -x.

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

Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: that is tompent ☺ Find the equation to the the Cime curve of fG)= (4-3)9 at x =l 4 (Tes f(x) =…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

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: Find the point on the curve f (x) = Vx that is closest to the point (2,0). Put your answer in the…

A: Use distance formula and differentiate and put zero

Q: Find the orthogonal trajectories of the family of curves y3 = 3(x – c). Draw a few representative…

A: We will find out the required solution.

Q: Determine the x-coordinate of the local maximum of the curve y = (2x - 1)2 (3x + 4) in the interval…

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