Given f(x, y) = 6x² fx (2, 3) = fy(2,3)= - 5xy + y, find the following numerical values:

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Q: Let R be the region enclosed by f(x) = x² + 4. g(x) = (x - 3)² and the axes x = 0 and y = 0. Compute…

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Q: Given that  lim x→2 f(x) = 1    lim x→2 g(x) = −4    lim x→2 h(x) = 0, find the limits, if they…

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Q: Problem #2: What is the long-term behaviour of the general solution to the following differential…

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Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

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Q: Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5…

A: Given;  g(5)=2 and limx-5[3f(x)+f(x)g(x)]=20.

Q: Find a formula for f-¹(x) if f(x) = 1, ≥ 0. 5 x²+1,x

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Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

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Q: onsider the following vector function. = ( 5t₁, 1/ 12², 1²) r(t) (a) Find the unit tangent and unit…

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Q: Let f(x) = 2 + √√x − 6. Find ƒ−¹(x). ƒ−¹(x) Now for fun, verify that (ƒ o ƒ−¹)(x) = (ƒ−¹ ○ ƒ)(x) O =…

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Q: (B): Solve the following ordinary differential equation. x²y" + xy + y = x

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Q: 16. (D² + 3D)y = -18x; y = 0, Dy = 0 when x = 0

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Q: Find a function f(x) such that ƒ'(x) = −2x² + 6 and ƒ(0) : = f(x) = -4

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Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

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Q: Create a table and graph the data for each problem. Write the equation for each. 1). Jill bought 3…

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Q: (-3, 3)- y ₁ x=y²-4y x=2y-y²

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Q: (a) Evaluate h(x) = tan x - x x³ for x = 1, 0.5, 0.1, 0.05, 0.01, 0.005.

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Q: Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

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Q: Find the inverse function to y = f(x) x = g(y) = 4-7x 6- 6x 7 - 6x help (formulas)

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Q: Jade and her roommate Jari commute to work each morning, traveling west on I-10. One morning Jade…

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Q: Suppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t) = 16…

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