5. Show that the equation of the tangent to the curve y = Inx + kx at x = 1 always passes through the point (0,-1) independent of the value of k %3D %3D

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: 1. Find the equation of the tangent and the normal line for the equation at the given point below: y…

A: Given, y=x3-6x+2 at the point (2,-2)

Q: (b) Argue that the graph of is decreasing for x near zero and that as x increases from zero, (x)…

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: a) Show that if y = V1 + sin x then =: %3D b) A manufacturer estimates that x units of a particular…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue…

Q: The derivative of y= sech-(Inx)+e sinh- (3x) equals Select one: +3esinh (3x) cosh(3x) y' = xlnxv…

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Show that the tangent lines to the graph of y = (ex - e-x) / (ex + e-x) atx = 1 and x = -1 are…

A: Here we have to show that the tangent lines to the graph of y=ex-e-xex+e-x at  x=1 and x=-1 are…

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

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Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

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Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: (a) Determine the slope of curve y = x · Ln(x) at x = 3.

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

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: If the instantaneous rate of change of g(x) at (-1, -2) is 1/2, write the equation of the line…

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Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A: We will find all the points on the curve at which the tangent line is horizontal using calculus as…

Q: If –5 + y³ = xy² – x and it is known that find all coordinate -2xy+3y2 > 2 and the line tangent to…

A: consider the curve         -5+y3=xy2-x  ⋯⋯⋯⋯⋯ (1)  and             dydx=y2-1-2xy+3y2  To find all…

Q: s of 0 would be a minimum value on the graph of y = sin 0 over the interval [-27,0)?

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Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

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Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x = is %3D

A: We need to find slope of normal line.

Q: The

A: Below is sketch of  the given function.    Rotation about x axis will give a volume in 3D plane.

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…

A: we only solve one problem at a time, please upload it one by one

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

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Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

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Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3

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Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: 1 By considering the secant through the points where x = 1.2 and x = instantaneous rate of change of…

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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: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

Q: Find the slope of the tangent to the curve y at (4, 2) xy – 4 dy dx 需= (Enter undef if the slope is…

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

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A: Here we have to find the value of x.

Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

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Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

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Q: 2 at the Find the equation of the tangent line to the graph y 3 (round the slope to one decimal…

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Q: Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the…

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Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point…

A: Given query is to find the slope of the tangent at given point.

Q: Find number of units X that produces the minimum average cost unit C in given equation. C= 0.001x3…

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