Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts. f(x) = (x + 1)(x - 1)(x - 3)²(x - 5) 100 Submit Answer 90 80 70 60 50 40 30 20 10 -10-9-8-7-6-5-4-3-2 -1 -10 -20 -30 -40 50 -60 -70 -80 -90 -100 1 2 3 4 5 7 8 9 10

Q: dy - (2xy + y ²) 2+ dx B) Write the equation for the tangent line where x = 2 and y = 1. (2,1) 16 FL…

A: I am attaching image so that you understand each and every step.

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Q: Find dy by implicit differentiation. dx x² _= y² + 5 x + y

A: The given equation x2x+y=y2+5 We have to find dydx by using implicit differentiation.

Q: How many x-intercepts would the function shown below have? f(x) = (x² − 5)

A: given that,   f(x)=x2-5   how many x-intercepts would the function have?

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Q: V(x, y, z) = eax cos(2y) sin(6z) where a is a constant. a) b) Find Find a² v dx² a²v дуг : :

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A: Factor the polynomial and find its zeroes  P(x)= x4-3x3+2x2

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A: We can evaluate dz by using the following formula dz = z x dx + z y dy

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: solution:-r(x)=x-1x+3x+1x-7x-interceptr(x)=0x-1x+3x+1x-7=0x-1x+3=0,   x+1≠0, x-7≠0x=-3, 1x-intercept…

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Q: 1 T 3

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Q: Find values of m and b such that: f(x)=x2+1          if x=1 is differentiable.

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Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative