Q1) Find the tangent y = vx2- x +7 at x = 2.

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

A: The objective of the question is to find the x-coordinate of the point on the curve y=ln(2x^2-11x)…

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: Find the equation of the tangent line to the graph of f(x) = √√x + 144 at the point (0, 12). Answer…

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Q: Find the tangent to y = sqrt(x2 - x + 7) at x = 2.

A: Given: -

Q: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: Find the slope and equation of the tangent line to f(x) = 3 – 2x at a = 3 using th definition.

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Q: 6 5) Consider the function f(x)==-x² +2 x a) Find and sketch the tangent line to fat the point…

A: given function

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)