2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

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A: z=ln4x+3y ,x=s sint ,y=t coss

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Q: Compute the dot product. (Use symbolic notation and fractions where needed.) ( ²1₁ 212 ) · ( 5₁ -1)…

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Q: 1. 2. Find f'(x) and f"(x). Determine the following Domain a. b. x and y intercepts t. The critical…

A: derivative calculated by differentiation with respect to x

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: Using the definition of the derivat to find the derivative of the following function. f(x) = x² ;…

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

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Q: Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

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Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: Evaluate the integral. 5 [' f(x) dx where F(x) = {55-x² if -5 ≤ x ≤ 0 25x² if 0<x< 5

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Q: A manufacturer has been selling 1150 television sets a week at $420 each. A market survey indicates…

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Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

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Q: 5. Find f'(x) if f(x) = √4sin²x +9 cos²x. Solution: U= du dx B) Implicit Differentiation Example:…

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Q: 2. Locate all local extrema and saddle point(s) of f(x, y) = xe cosy for (x, y) = (-T, T) x (-π, π).

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Q: The daily demand function for x LED lights sold by a major retailer is p=722.5-0.25z dollars, and…

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Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

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Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

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Q: Find all values of m so that the function y = emx is a solution of the given differential equation.…

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Q: Use the limit comparison test to determine whether an = n=12 an lim = lim n→∞ bn n-x n=12 (a) Choose…

A: We have to to Check the convergence of given series.