Find the equation of the tangent line ( y = mx+b) to the curve at the given point.

Q: compare a secant and a tangent by defining each.

A: To compare a secant and a tangent

Q: The Empire State Building is located in Manhattan in New York City. At its top floor, the building…

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Q: Find curve sketching for the following equation-

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Q: Please don't provide handwritten solution ...

A: In the given, first , we redraw the triangle the has been formed, we have:This forms an isoceles…

Q: What is the equation of the tangent to y = x² - 5 when x = 3?

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Q: 3x-1 7.) Find the slope of the line tangent to the curve y = e at x = 2

A: Slope of the line tangent to the curve y=f(x) is , m=f'(x) .

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Q: Given the equation: y = 3 + 4x2 - 2x3 Which of the following is the equation of the tangent line…

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Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

Q: At what point on the curve of y = 2x² - 16x is there a tangent line that is horizontal?

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Q: he graph of y = 3" crosses the graph of y = 10. Find the x-coordinate of their point of…

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Q: Can this problem be reworked to find the correct speed of the curve?

A: Speed is the rate of change of position so, we get speed by differentiate r(t) with respect to t.

Q: 3. A curve passes thru (4,) and (10,). If y" = detemine the equation of the curve and indicate what…

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Q: Find the angle (in radians) between the line with equation T(t) = '+t and the line with equation 7…

A: Given query is to find the angle between two lines.

Q: Find the equation of a line making an angle of 5° with the y-axis and passing through the point (1,…

A: We have, a line making an angle of 5° with the y-axis and passing through the point (1, 1).