For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

Q: The slope of the tangent line to the graph of y = In(xy) at the point (e, 1) is :Select one -e-l.a…

A: Given equation is Differentiating both sides with respect to x, we get.

Q: The line y = 3x + k is tangent to the curve y = x when k is equal to

A: Given,        The line y=3x+k is tangent to the curve y=x3

Q: Find the points on the curve where the tangent is horizontal or vertical. x = - 3t, y = t² - 8…

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Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

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Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find the length of the curve y2 = x3 from the origin to the point where the tangent makes an angle…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: Find the equation of the tangent line to the curve y = IVI at the point (9, 27). %3D y = 9x(sqrt(27)

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Q: Determine the point on f(x)= 2x^e where the tangent is parallel to the line y= 2x-12

A: The equation of the curve is  f(x) = 2xe The line parallel to the tangent line on the graph of the…

Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: find equation for the lines that are tangent andnormal to the curve at the given point. ex + y2 = 2,…

A: Given: Equation of curve ex+y2=2 and the point 0,1, To find: Equation of tangent and normal line to…

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: What is the slope of the tangent line to the curve y = 3cos 2x at x= ? 4 Answer:

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Q: What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=1? Selected Answer: [None…

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Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

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Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: For what values of a and b is the line-3x + y-b tangent to the curve y = az3 when x-5? a=

A: The value of slope of tangent to the curve at the point is the value of its derivative at that…

Q: At what point on the graph of f(x) = 3x² +x is the tangent parallel to the line with equation y = 4x…

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Q: ind the slope of the tangent to the curve 'x + y°x? = 6 at (2,1)

A: Here we need to find the derivative of the given function with respect to x

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: Find equation of the tangent an ine to the carve ad X= Xo, ' line

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Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. y = x –…

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Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: Find the x-coordinates at which the tangent line to y= is horizontal

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Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the value of the slope of the tangent line to the curve y+y S passing through the point with…

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: At what points on the given curve  x = 2t3, y = 4 + 16t − 10t2  does the tangent line have slope 1?

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: Find the two x values at which the tangent line to the curve y=(x+3)/(x+2) is perpendicular to the…

A: Compute slope of the given equation for general x.

Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

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Q: The slope of the tangent line to the curve C at the point (1, 2) is A) 4 B c) 2 D - 4 2.

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Q: What is the slope of the tangent to the curve x3 - y2 = 4 at x = 2? (A) 0 (B) ±2 (C) ±3 (D)…

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Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: At what point is the tangent line to the curve y = 2x to the line x - perpendicular – y – 8 = 0?…

A: Let the point is (a, b), so the slope of the tangent line to the given curve can be determined as,…

Q: At what points on the given curve x = 4t3, y = 1 + 100t - 20t2 does the tangent line have slope 1?…

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Q: Find the slope of the tangent line to the curve - 6y3 – 42?y? = 2 at the point (1, – 1)

A: We have to find slope of the tangent line to the curve -6y3-4x2y2=2 at the point 1,-1

Q: The equation of the tangent line to the curve x? + y² = 64, at (5,-18) is

A: The given equation is x2+y2=64 Differentiate both sides w.r.t. x, 2x+2ydydx=0 dydx=-xy evaluate dydx…

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line 2x – y – 1 = 0?…

A: Given: y3=6x2..(1)2x-y-1=0y=2x-1...2   As we know that, iI two lines are perpendicular to each other…

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

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

Q: . What is the slope of the line tangent line to the curve x?y = y? – 6x when x=2?

A: This question is taken from the tangent and normal in which we have to find the slope of the tangent…

Q: At what point on the curve x = 9t2 + 6, y = t3 − 9 does the tangent line have slope 1/2?

A: Given parameteric equations of curve,   .x = 9t2 + 6 , y = t3 – 9   To find the point on curve…

Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

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Q: Find the tangent to the curve a"-'y = x"

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…