The slope of the tangent line to the curve y at the point ( 5, is: The equation of this tangent line can be written in the form y = mx +b where: %3D m is: b is: 3 5

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizonta? A none of the given…

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Q: a. Given that x? + y? = (2x² + 2y -x*)* Find an equation of tangent line to the curve at point (0,…

A: NOTE: Hi! Thank you for your question. As per the honor code we are allowed to solve one question at…

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

Q: Find an equation for the line tangent to the graph of f(x)=4xe square root of x at the point (a,f…

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

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Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: Find a number a such that the tangent line to the graph v= 3x at x = a is parallel to the tangent…

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Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5).…

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

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: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given, y=2-x3 Point P = (1, 1)

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

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Q: For what values of a are the graphs of y = a* and y = 1 +x tangent at x = 0? Enter the exact answer.

A: Please see the explanation below

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given : y=1-5x2, P(2,-19)

Q: Find the slopes of the tangent lines to the curve y = Vx at *,=16. The slope at ,=16 is Blank 1. The…

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Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: If y=mx+b is the equation of the tangent line to the graph of y = x - x- 3 and is parallel to the…

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Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? A B) -6 -3 D none of…

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Q: b) Find f(1) and find the equation of the tangent line at the point (1, f(1). c) Graph y = f(x) and…

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12…

A: Solution is below

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given equation of curve is y=x Given point is P(4,2). (a) Differentiating the given curve with…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given: y=5x2+4 ; P3,49 we know that slope at given point 3,49 is given by y'3 so, for finding slope…

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: The given function is y=x3 and the point is 2,8.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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

Q: Find the indicated quantities for f(x)=5x2 (A) The slope of the secant line through the points…

A: Given function fx=5x2To find the slope of this secant line , we first need to find the values at…

Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

Q: 3. What is the slope of the tangent line to the graph of y =- at x = 2? x+1 1 A) 3 B) 9e - C) 4e 4…

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Q: The graph of the curve + y° = 6xy is shown above. The slope of the tangent line to this curve at the…

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Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A none of the given…

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Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: Find the slope of the tangent line to the given curve at t=3. Sx=²-7 The slope is

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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: 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: Find an equation of the tangent line to the function y = at the point; 0 P(2). (6) P(4)-

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Q: For what value or values of the constant k will the curve y = x3 + kx2 + 3x - 4 have exactly one…

A: Given curve is y=x3+kx2+3x-4. A curve have exactly one horizontal tangent  at x=a if f'a=0.…

Q: For what value of c is the curve y = c/(x + 1)tangent to the line through the points (0, 3) and (5,…

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Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at…

A: Topic = Functions

Q: What is the slope of the tangent line to the graph of y = cot /2z +lat the point where z = 0? Select…

A: Here we have to find the Slope of the tangent line to the graph of  y=cot-12x+1  at x=0

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

A: We have to choose the correct answer from the given information according to the given information

Q: fa is a positive integer, then the slope of the tangent to the graph of y = a²a - aln(ax + 1) at a =…

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

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Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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