QUESTION Find the slope, m, of the tangent to the curve y = 2 + 5x² - 2x3 at the point where x = a. (b) Find equations of the tangent lines at the following points. (1, 5) y = (2, 6) y =

Q: What is the distance between the line with Cartesian equation x-6=y-2= z and the line with Cartesian…

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

A: we only solve one question at a time so please submit questions one by one.

Q: Find all values of x at which the tangent line to the curve 2.x + 13 is perpendicular to the line y…

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Show all necessary solutions. I. Find the equations of the horizontal and vertical Tangents. a. 25x?…

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

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Q: 4.) Find the slope of the line tangent to the curve y = (2x - 1)³ at x = 1

A: Solution : We have to find out the slope of the tangent to the curve y=(2x-1)3 at x=1 Since we know…

Q: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

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) .

Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given,  y=2-5x2

Q: An object moving vertically is at the given heights at the specified times. Find the position…

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Q: Find an equation of the tangent line to the curve (a lemniscate) at the point (3, -1). 2(x² + y²)² =…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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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).

Q: che object. (a) At t = 0 seconds, s = 158 feet. At t = 1 second, s = 95 feet. At t = 2 seconds, s =…

A: Since we are given with multiple number of questions and our guideline is solve first question only

Q: find an equation for (a) the vertical line and (b)the horizontal line through the given point. (-1,…

A: we have to find an equation for (a) the vertical line and  (b) the horizontal line through the given…

Q: 12) through: (-3, –5), parallel to y = 4

A: The line passes through (-3,-5) and parallel to y=4

Q: 5) Write equation of the line -5-4-3-2-10 A Y

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Q: There are two tangent lines from the point (0, 1) to the circle x2 + ( y + 1)2 = 1. Find equations…

A: The equation of circle is x2+y+12=1. Compare the above equation with standard equation of circle…

Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: An airplane traveling horizontally at 110 m/s over flat ground at an elevation of 5,000 meters must…

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