Find the tangent line to the graph of f(x) = 6e4x at the point (0,6). O A. y = 4x+6 B. y = 6x + 6 OC. y=24x+6 OD. y = -24x + 6

Q: The slope to the tangent line of a curve is given by f(x) = x2 -9x + 12. If the point (0, 9) is on…

A: Given that slope equation and we find the equation of curve. I.e.  df(x)/dx = x2 - 9x + 12. And also…

Q: Q5 / Sketch the graph of function y = =+ 3x

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Q: show all steps please! thank you!

A: The slope of the tangent line at point (x,y) is given as

Q: Find the points on the graph where the tangent line to the curve (x2 + y²)² = 10 (x² – y²) + 8 is…

A: The given curve is, x2+y22=10x2-y2+8 The graph of this curve is as follows,

Q: Find an equation of the tangent line to the curve at the given point. et²-y = (6,36) (Express…

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Q: Range of y = 1/x

A: The given function is y=1/x

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

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Q: Your answer is partially correct. Find the coordinates of all points on the graph of y = 22 – x? at…

A: Given; y=22-x2

Q: As the growing season resses, the food supply available to an ant colony is given by F= 140 - 3…

A: Given Food supply function F=140+3t Food requirement function R=2201+2e-0.2 t Where F and R are in…

Q: Find the equation of the tangent to the curve y = (x − 2)√√√x² +9

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Q: Is there an equation that will give you the point (x value) where the sum of two curves is the…

A: To optimize the sum of two curves, we need to find the point the point where sum has maximum or…

Q: How are derivatives and second derivatives used to solve an optimization problem?

A: We need to figure out that how derivatives and second derivatives used to solve an optimization…