Suppose that f is a function given as f(x) r + bx+ cz + 3. Find the exact values of b and c if we know that the line y 12x 9 is a tangent line to the graph of f at z = 2. %3D b = and c = Check Answer

Q: Given that f(7) = 9 and f'(7) = -3, find an equation of the tangent line to the graph of y = f(x) at…

A: Given that f(7) = 9 and f'(7) = -3. Here, the points x,y=7,9 and the slope is m= - 3. Note that, the…

Q: Suppose f is a function where the line tangent to it at x = 3 is given by y = 5x + 2. Find the…

A: Given information: y=5x+2,  Find the value of f(3) and f'(3)

Q: Consider the following function h(x) = -3r – 5x* + 20z³ + 60x. Find the point on the graph of h(x)…

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Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)…

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Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k/x y = 2x +…

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Q: Suppose y = L(x) = ax+b (with a 0) is the equation of the line tangent to the graph of a one-to-one…

A: Topic: Geometry

Q: Given that the graph of f passes through the point (1, 4) and that the slope of its tangent line at…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: Suppose that f(x + h) – f(x) -2h(x + 3) – h? h(x + h + 3)²(x + 3)² Find the slope m of the tangent…

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Q: 57. y = x4 – 8x² + 2 58. y = x³ + x 59. у 3 .2

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Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

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Q: When f"(x) is negative, the curve of y =f(x) is concave A downward B upward c) to the left D to the…

A: when f''(x) < 0,than than curve of f(x) is concave downward option (A) downward

Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line?…

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Q: Given that  f  is a function of  x, which of the following statements is false? a) When  f  is not…

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Q: For what values of x does the graph of f (x) =x3 – x² +3 have a horizontal tangent? O 2 O and 2 O O…

A: ⚛ Slope is the rate of change of function which is equal tot he derivative of  that function. ⚛  The…

Q: Consider the function (Pаcсмотрите функцию) 1 f(x) = x² – kæ' where k is a nonzero constant (где k…

A: Given, fx = 1x2 -kx  k = 3  We have to find the equation of the tangent to the fx = 1x2 -kx  at x =…

Q: Consider the function f given by f(x)=x/(x+3). The line tangent to f is parallel to the line x-3y=3…

A: The slope of a function f(x) is given be the first derivative of the function and slope of the…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the equation of the tangent to the graph of f(x) = (x² + 28)*/5 at x = 2. 8 96 (A y= 및 + 5 8 (B…

A: givenf(x)=(x2+28)45 at x=2f(2)=(22+28)45=16therfore co-ordinates will be (2,16)slope of…

Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: Suppose f(x) is a function with f(25)=125  and f'(x)=-4 find equation of the tangent line to the…

A: Given, f(25)=125, f'(x)=-4 Find the equation of the tangent at x=25, we get, From given we get x=25…

Q: For the function f(x) = 4x² + 2, the slope of the tangent line at x = 3 is a m = 32 b m = 4 m = 8 d…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

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Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kv x y = 4x…

A: The function is fx=kx and the equation of line is y=4x+4. Equate both the functions: kx=4x+4k=4x+4x…

Q: Find values of a, b, and c such that the graph of f(x) = ax³ + bx² + cx_has a horizontal tangent at…

A: The graph passes through (1,1). So at x=1, f(x)=1

Q: For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x=…

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Q: For what value(s) x does the graph of f(x) ==- x² + 3 have a horizontal tangent? For what value of…

A: For horizontal tangent first derivative must be zero

Q: For which value of m is the following statement correct? If f (2) = 3 and f (4) = 9, and f is…

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Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

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

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: Consider the function f(x)=x^3-6x+c, where C is an unspecified constant. Suppose the line 102x-y=609…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: Let f(x) = (x - 8)(2x +7). Find an equation for the tangent line to the graph of f = 7. at x =…

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Q: If f is a one-to-one function with f(2) = 8 and f'(2) = 6, find the equation of the line tangent to…

A: Give f(2)=8 ,f'(2)=6  Using this we can derivative of find f^(-1) and then we will find equation of…

Q: Find the equation of the tangent to the graph of f(x) =(x²+28)*/5 at x =2. 4 64 A y= 3**5 8 64 y=x+5…

A: To find the tangent to the graph of f(x)=x2+2845 at x=2. Here, the equation of the tangent at x=2…

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kVx y = 4x +…

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Q: Suppose you have the function f(x) = 3x2 + 4x + 2. %D - A) What is the exact value of the slope of…

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Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

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Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

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Q: Find k such that the line is tangent to the graph of the function.                        Function…

A: Given, function y=fx=kx and line  y = x + 4

Q: Consider the point (x,y) on the graph of the line 6x+4y=7. Let L be the distance from the point…

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Q: Consider the following. y = x3 + 3x2   For what value(s) of x does  y' = 0? (Enter your answers as a…

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Q: Given f"(x) = x(2x-3), find f(x) if the point (2,7) is on the curve y=f(x) and the slope of the…

A: Simplify f''(x):f''(x)=2x2-3x

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

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Q: if f(x) is a curve joining the function (1,2) to (3.5)? What is the value of f 2f (x)f'(x)dx 27 - :…

A: Integrate the function and put value of function from hint given that f(x) join (1,2) and (3,5)