f(x) = 8x + x - 7 (х, у) %3D

Q: Find all values of x for which f(x) = e?*(x² – 12) has horizontal tangent lines. %3D

A: Horizontal tangent meaning slope of those tangent are zero . Take the derivative and equate to zero…

Q: Find all values of the parameter p for which the line y = 2x - 3 is tangent to the graph of y = pr²…

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Q: An equation of the tangent line to the curve C at the point (1, 2) is A у — 2%3 B y-2=2(x-1) ©…

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Q: 14. Let y = 4x² - 4x + 3. (a) Find an equation for the tangent line to this graph at x = 2. (b) Find…

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Q: Find all values of the parameter pp for which the line y=2x+1 is tangent to the graph of y=px2+3.…

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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 equation of curve :                                       y = x3

Q: = e=x², 1 at the point 3, Find an equation of the tangent line to the graph of y =

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Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Given: The function is y=4x2-4x+3. To find: a) Equation of the tangent line to the graph of the…

Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z

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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: iven f(x) = = Find the slope of the curve y = at æ = a + 0 %3D Where does the slope equal –? What…

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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=1-5x2, P(2,-19)

Q: The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: Given query is to find equation ifbthe tangent at given point.

Q: (c) Find the tangent line equation to the curve x²y? = x + 2y at point (0,0). Use that approximation…

A: The given curve is x2y2=x+2y   To find the tangent line equation at point (0,0) Then, find the value…

Q: Find the equation of the tangent line to the graph of f(x) = xcos(4x) at x= 4 Enter your answer in…

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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: Find a > 0 such that the tangent line to the graph of f(x) = x?e=* at x = a passes through the…

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Q: C. Provide what is being asked. 1. Find an equation of the tangent line to the graph of y = x* – 3x²…

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

Q: Find an equation of the tangent line to the curve 2(a² + s7)° = 25(m² – y) (a lemniscate) at the…

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Q: 19. Find an equation of the tangent line to the graph of f(x) = 2/x at (a) (1, 2); (b) (–1, –2); (c)…

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

A: GivenParametric eqautionx=t-ty, y=g+t2, t=1To findEquation of tangent at t=1

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: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).

A: As we know that: The slope of the tangent line to the given curve is equal to the derivative of the…

Q: On the graph of the curve defined by X = 9t? + 5 t3 - 8 V = a tangent line at the point p(x,y) has a…

A: Explanation of the answer is as follows

Q: Q1. Consider the function f(r) = a2 +a - 4. b) Find the equation of the tangent line to the graph of…

A: To find: The equation of tangent line to the graph of fx=x2+x-4 at x=-1 and show it on the graph.…

Q: Find the slope of the tangent line to the curve 3xy- 5y 4 at = 1. ECAD Hint: what is the y-value at…

A: Differentiate at given point

Q: Find the slope of the tangent line to the graph at the given point. (x² + y?32 = 4x²y, (-1, 1)…

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Q: (a) Find an equation of the tangent line to the curve y = 12x sin(x) at the point (T/2, 67).

A: Given equation of curve is as below: Equation of the tangent line to the curve y = f(x) at the…

Q: a. Find a curve y = ƒ(x) with the following properties: i)d2y/dx2 = 6x ii) Its graph passes through…

A: Given curve y=fx d2ydx2=6x We need to find a solution of the initial value problem. d2ydx2=6x…

Q: Find all values of x at which the tangentline to the curve y = 2x+13 has the y-intercept 2. x+6…

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Q: Consider the curve y= x^2 +2x +5 (a) Find the slope of the secant line to curve through the points…

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Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1. Blank 1 Add your…

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

Q: 21 Find the equation of the tangent i ne OF the graph of yEra y= xe at the point ( ). y=? -2X

A: The objective is to find the equation of the tangent line.

Q: Determine the point(s), if any, at which the graph of the function has a horizontal tangent line.…

A: Given y=x2+6xThe slope of the tangent line of a graph y=fx at  a point x0 is given by the derivative…

Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: u(x, y) = arctan a = (-1,0)

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Q: f (x) X - 9 ) (smaller x-v (x, y) = ([ (x, y) = (C ) (larger x-va %3D

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Q: The positive value of x at which the graph of y=1/x has a tangent line parallel to 4y= -x+3 O 1 O 2…

A: To find the slope of the tangent line to the graph of y=1x, differentiate the function, with respect…

Q: 3a) Determine the equation of the tangent to f(x) = In(3x + 4), at x = 2. %3D Equation of Tangent:…

A: Please see the explanation below

Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D

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Q: -9x Find an equation of the tangent line to the graph of y = e at the point (4, e¯3º). y =

A: First of all we will find the slope of the tangent line using the fact that the slope of tangent…

Q: y=x^2+5  Determine at which point, (x,y), in which the graph has a horizontal tangent line.

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Q: c) Finally, draw a large and clear sketch of the graph of f(x) = z² – 2 and illustrate the tangent…

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Q: cx³+lnx 1. Determine the equation of the tangent line to the graph of f(x) = || V3 + 5t5 dt at x =…

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Q: (c) Find the slope of the tangent to the graph of y = f(x) at x = -1. (d) Find the point on the…

A: Slope of tangent = dy/dx

Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Find y' if x³+y³ = 6xy . Find the tangent to the folium of Descartes x³ + y³ = 6xy at the point…

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Q: 2(x2+y2)2=25(x2-y2) Find the slope of the tangent line to the curve at each of the points. Make…

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Q: If the tangent line to the curve f(x)= x² + ar at (1, f(1)) is tangent to the curve g(z) = bz at…

A: tangent line's slope is given by the first derivative