Consider the function f(x) = x^3 - 4x^2 + 5x - 2. Determine the points on the graph of f(x) at which the tangent line is parallel to the line y = 3x + 7.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: h(x)=x^2-3x+5, find x and y intercepts

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Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: X^4+y^2=3 find the slope of the function above at (1,-sqrt2)

A: Explanation of the solution is given below....

Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: Find a cubic function whose graph has horizontal tangents at the points (-2, 6) and (2, 0

A: Take y=ax3+bx2+cx+d Differentiate with respect to x, y'=d(ax3+bx2+cx+d)dx Since the tangent is…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

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