et ƒ(x)=x-4 Find and simplify ƒ(2+ h)− ƒ (2) h

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A: a) y=cos3x2 On differentiation: dydx=-sin3x2×3×2xdydx=-sin3x2×6xdydx=-6xsin3x2

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A: 1. Given that, the function is z=2x2-3xy+4y2. Obtain the value of zx.…

Q: Identify all extrema of the function f(x,y) = x³+y³-3x-12y+20 on the plane and characterize them.

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Q: 8. f"(x)= 1 2 f'(-1) = 2; f(-1) = 4 x²

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Q: Higher Partial Derivative z=2x²-3xy +4y²; d²z 1. oxoy² 3. z+x³ − ln(y³ +x³)= 0; - a²z axoy 0³ z…

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Q: View Policies Current Attempt in Progress Compute the product by inspection. -3 0 0 -1 -5 0 40 5 -8…

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Q: Z=√2(cos135+isin 135)

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Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: Given Asymptotes   ;   y=3x2   ,   y=-3x2Vertices         :     (0, 6)    and    (0,-6)

Q: The graph shown below f(x) = 3sin(x). X If g(x) = f(t) dt, what is g′ (π)? 1 2 3 4 5 5432- +++hat O…

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Q: and the given initial conditions. y(-1) = 9, y'(-1) = -9

A: Given problem:- In this problem, y = c1 ex +c2 e-x is a two-parameter family of solutions of the…

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Q: Determine if the sequence converges or diverges. If it converges, state the limit. cos²n an = -,n≥1…

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Q: 8. What rule should be used in deriving f(x)=x5? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x A.…

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Q: What is this angle in degrees? 19t 35) 6 37) 25 39) 41) - 10л 3 11x 6 36) - 7 38) - 40) 13t 4 11x 0)…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Find the differentiation and provide complete solution a. y=(x2+1)3 b. f(x)=(3x+2x2)3

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Q: this problem, x = C₁ cost + C₂ sint is a two-parameter family of solutions of the second-order DEX"…

A: Given differential equation x''+x=0and   general solution  is    x= c1 cos t + c2 sin t

Q: Express the repeating decimal as a fraction. 3.717171...

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xey,…

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Q: Which of the following is an example of a divergent infinite series whose general term tends to…

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