1.) Find the equation of the line tangent to f(x) = 6 In(7– 3x)+5e²²-4 – 6x – 2 at x= 2

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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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: 1.) Find the equation of the line tangent to f(x) = 6 ln(7– 3x)+5e²²-4 – 6x – 2 at x = 2

A: Given: f(x)=6ln(7-3x)+5ex2-4-6x-2 at x=2

Q: 1 The slope of the tangent line to the graph of y = at a = 1, is 3e². %3D e (r + 2) Select one: a.…

A: Given curve: Now,

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: - Does the graph of fo, x< 0 1. r20 U(x) = have a vertical tangent line at the point (0, 1)? Give…

A: Given: The function To check: Whether the given graph has vertical tangent line at the point (0, 1)…

Q: . Is there anything special about the tangents to the curves y? = x and 2r + 3y? = 5 at the points…

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Q: 32. Find an equation of the tangent line to the graph ofy= /(r)at z = -3if S(-3).32 and f'(-3) 5

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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: Find the area A of the largest rectangle that can be inscribed under the curve of the equation below…

A: Given y=e-x2

Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

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: 17. The equation of the tangent line to the curve y = at the point (3, ÷) is 2 A. x+16y+11= 0 B.…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Explanation of the answer is as follows

Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

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Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: Is there anything special about the tangents to the curves y? = x* and 2x? + 3y² = 5 at the points…

A: We find the slope of 2x^2+3y^2=5 at (x,y). For that we need dy/dx

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: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 2x+9y=−4…

A: Equation of the tangent line to the curve y = g(x) at x = 16 is To find Part (a) Equation of…

Q: Q3/Find the tangent to the curve x+ xy+ y' = 1 at (1,-1).

A:

Q: The Tschirnhausen cubic is the curve given by the equation x^2=y^3+3y^2 At which point(s)…

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Q: 37. The equation of the tangent to the curve defined by x- 3t, y =-at the point with parameter is:…

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

Q: Here I need to find the equation of the line tangent to the graph of h(t)= (t^3)/((t^2)-1) at t =…

A: Consider the given function: h(t)=t3t2-1h(-1)=-13-12-1=Not Defined So the point where tangent is…

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 3e* 7. Find the equation of the tangent line to y = 5 x2 at a = 0.

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: - Find the equation of the tangent to the 2(x2 + y?)2 = 25(x² – y2) at (3,1)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 52. Is there anything special about the tangent lines to the curves y? = x' and 2r? + 3y? = 5 at the…

A: Let's find the slope of the tangent in each case. The slope of the tangent at the point of tangency…

Q: 7. Find the equation of the tangent line to the curve at its point of inflection. y = x + 3x? + 2…

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Q: Find an equation of the tangent line to the curve

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Q: 23: The equation of the tangent line to the graph of y = f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: We have to solve given problems:

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: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

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

A: slope of tangent of the curve y=x-1 is dydx=12x-1 slope at (x1, y1)dydx=12x1-1=m1if (x1, y1) is the…

Q: Find the equation of the line tangent to y 8xe" at x = 1. O y -8e = 16e(x – 1) O y - 8e = 8e(x – 1)…

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

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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: The slope of the tangent line to the graph of y =; I+1 when x = 1 is %3D %3D - 4 3/4 O 1 4. 1/2

A: y=xx+1 Slope of the tangent line is the derivative of the given function at the given point. So…

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: - Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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Q: po Suppose h(x) = Vf(x) and the equation of the tangent line to f(x) at x = 1 is y = 4 + 1(x – 1).…

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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=25 is 4x+6y=70…

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Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at z = 9 is 5x +…

A: We have to find the equation of the tangent lines of the given curves.

Q: 9. Find the equation for the tangent line to f(x) = at *=-1 A)9x+25 y =-34 B)9x+25 y=-24 C)-9x+25y…

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

Q: Find an equation of the line tangent to the curve at the point corresponding to the value of the…

A: Using formula of equation of tangent line.

Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

A: