Determine the slope of the tangent line at t = 1 to the curve defined parametrically by the equations (t) = 2e5t and y(t) = -e-10⁰t. Give an exact answer. Provide your answer below: m=

Q: Find an equation of the tangent plane at the given point: (2,1) F(r.a) 3²-3,

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

A: To Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

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

A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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Q: Determine the parameter equation of the following curve x2 + y2= 5

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Q: 1. a) Find dy for the equation 4x²y ² - x ³y = 3 dx b) find the x-coordinate of each point on the…

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Q: find the first and second derivatives

A: Given expression:  y=-3x9-1 Differentiate both sides with respect to x. Use the differentiation…

Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: Find the equation of the tangent to the curv e y = 23 Az-12 at the point where a = 3. Answer:

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Q: Find the equations of the tangent and normal to the equation: y (15-3x²)Inx when x = 1.

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Q: Consider the following equation. x4 + 3xy – 2y4 = -4 Step 2 of 2: Find the slope of the tangent line…

A: Slope of tangent line = dy/dx