Find the equation(s) of any normals to the 1 curve y=x+= at points where the tangent X is parallel to the line y=-3x.

Q: Find the Equation of the tangent line and the normal line for the following function: x* - xy + y =…

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Q: Determine the slope of the tangent to the graph of y = 4 X Paragu at the point (1, 4).

A: Questions from application of derivatives.

Q: What is the slope of the line tangent line to the curve x²y = y2 – 6x when x=2?

A: The given curve is x2y=y2-6x. Substitute x=2 in the above equation and obtain that,…

Q: Find the tangent and normal to the equation 5x? +6y³ = 930 at ( -6, 5)

A: 5x2 + 6y3 = 930⇒ 6y3 = 930 - 5x2⇒y3 = 930 - 5x26⇒y = 930 - 5x263 dydx = d(930 - 5x26)1/3dx ⇒dydx…

Q: The tangent line to  y=ex where x=0 has slope of 1 True or false

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Q: Find the slope of the tangent to the curve y = 3 + 4x² – 2x' at the point where x=a. Draw the graph…

A: Slope of the tangent is derivative of the function .

Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: Find the slope of the tangent line to y=3x at x=0.   Show all work please

A: The given equation is y = 3x.Differentiate with respect to x on both sides,(dy/dx) = 3x ln(3).

Q: Use the table to determine D,f(g(x))) at x= 3. 3 4 f(x) 1 f(x) 3 -5 8(x) 2 g'(x) |1 4 3 2 4 1 3 6 -5…

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Q: Find the normal to the curve y = 1 – x² at the point (3, -8).

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Q: What is the slope of the tangent line to the curve y=x* at x=2.9 (use 3 decimal places, no space)

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