Given that the graph of f(x) passes through the point (5, 8) and that the slope of its tangent line at (x, f(x)) is 5x + 2, what is f(2)? Answer:

Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: 3. Determine the value of b if the slope of the tangent to f(x) = (3x² + 1)(2x² + b) at x =– 1 is –…

A: given,       fx=y=3x2+12x2+b    slope of the tangent, at x=-1      dydx=-16

Q: Given that the graph of f(x) passes through the point (2, 2) and that the slope of its tangent line…

A: Solution:

Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. y =…

A: The given equation of the graph is, y=x4-2x2+1 The slope of the tangent to the curve is the first…

Q: Given that the graph of f(x) passes through the point (3, 10) and that the slope of its tangent line…

A: Consider the given slope of tangent of the function at x,fx is 2x+6

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 5x²;…

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Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Given that the graph of f(x) passes through the point (8, 2) and that the slope of its tangent line…

A: Slope of a function is the first derivative for the function f(x).So integrate the value of slope to…

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A: Use the fact that derivative of a curve is the slope

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the tangent line equal to 4?

A: Given that: fx=2x3-3x2-8x To calculate the slope of the tangent line of given function,…

Q: Find the equation of the tangent line of the graph of f(x) = x/2x + 6 at the point where x = 5.

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Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: topic - functions

Q: What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point.12

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Q: Given that f(2)=−3 and f′(2)=6, find an equation for the tangent line to the graph of y=f(x) at x=2.

A: For the function y=f(x), slope of the tangent at any point (a, f(a)) is given by mT=f'(x) at (a,…

Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

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Q: Given that the graph of f passes through the point (1, 6)and that the slope of its tangent line at…

A: given: the graph of f passes through the point (1,6) and the slope of its tangent line at (x,f(x))…

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line…

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Q: At what two points on the graph of f ( x ) = 2 x 3 - 3 x 2 - 8 x is the tangent line equal to 4?

A: Consider the given function, fx=2x3-3x2-8x differentiate the function with respect to x,…

Q: Given that the graph of f passes through the point (2,5) and that the slope of the tangent line at…

A: It is given that the slope of the tangent line at (x, f(x)) is 3-4x So we have  f'(x)=3-4x   And…

Q: The slope of the tangent line for the function f(x) = x^4 – 3x^3 + x^2 – 2x + 8 at x = 1 is

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Q: Given that the graph of f(x) passes through the point (4, 9) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (8,10) and that the slope of its tangent line…

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Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

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Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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Q: Given that the graph of f(x) passes through the point (5,10)( and that the slope of its tangent line…

A: Given , The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at…

Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Given that the graph of f(x) passes through the point (8,9) and that the slope of its tangent line…

A: Given the slope of the tangent line of graph of y=f(x) at (x,f(x)) is 6x + 2, so dydx=6x+2 Now solve…

Q: Given that the graph of f(x) passes through the point (3, 2) and that the slope of its tangent line…

A: Given: Graph of f(x) passes through the point (3,2) and that the slope of its tangent at (x,f(x)) is…

Q: What is the slope of the tangent line that touches the graph of Iny+e2x-1 = 3y – 4x at the point A 1

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Q: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

A: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

Q: Find the equation of the tangent line to the graph of f(x)= (x/x+3)^3 at x= -2

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Q: For what values of x is the tangent line of the graph of f(x) = 4x³ – 30x² + 73x parallel to the…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: Given that the graph of f(x) passes through the point (5,6) and that the slope of its tangent line…

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Q: Find the slope of the tangent line to the graph of f(x) at the point (1,2). The function is…

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Q: Given that the graph of f(x) passes through the point (6, 10) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (10, 8) and that the slope of its tangent line…

A: Solution )slop of tangent line                f'(x) = 2x + 5 Intregating both sides  ∫f'(x) =…

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line…

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))…

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−3) at the point…

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

Q: Given that the graph of f(x) passes through the point (2, 4) and that the slope of its tangent line…

A: Explanation of the answer is as follows

Q: 3. Determine the value of b if the slope of the tangent to f (x) = (3x² + 1)(2x² + b) at x = – 1 is…

A: The formula to find the slope of the tangent to the function f(x) is f'(x).

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

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Q: Given that the graph of f(x) passes through the point (8, 2) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (7, 6) and that the slope of its tangent line…

A: Let y=f(x) is the curve. The curve passes through (7, 6) and slope of tangent at (x, y) is 4x+5.…