Find the first partial derivatives of f(x, y) = 9x³y° + 6x³y² +2. af ax ||

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A: The tank has 1140 L of pure water.Solution has 0.03 kg of sugar per liter enters the tank at 3 L/min

Q: FRQ (No Technology) The function f(x) is defined as f(x) = -2(x+2)(x-1)² on the open interval (-3,…

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Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

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Q: Find the derivative of the function at P0 in the direction of u. f(x,y)=4x2+3y, P0(7,10), u=3i-4j

A: f(x,y)=4x2+3y, P0(7,10), u=3i-4j

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Q: 5. Evaluate the definite integrals, using the Fundamental Theorem of Calculus to find an exact…

A: To evaluate the definite integrals, by using the Fundamental Theorem of Calculus to find an exact…

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Q: Find the derivative of the function. g(x) = sec¯¹(8e*) g'(x) = X

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Q: A classical equation of mathematics is Laplace's equation, which arises in both theory and…

A: The given function is; u=e6x cos(-6y)

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Q: Find the number of terms in the series +8 -12 +18 - ... -307.546875

A: The given series is .The aim is to find the number of terms in this series.

Q: #6: For which of the following can we use intermediate value theorem with the interval [a, b] = [0,…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 4. A weather balloon rising from the ground at 120 ft/min is tracked by a range finder located 350…

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Q: Question 10 What is the 14th derivative of 2 sin(x)? O 2 cos(x) O-2 sin(x) O2 sin(x) O-2 cos(x)

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Q: For the formula Dûƒ(P) = Vƒ(P) · û to hold, what must be true of û?

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Q: . Solve using the method of integrating factors. a. y'= -x; y(1) = 1 2x b. y' = sinx-y; y(0) = 1

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Q: Let f'(x) = 12x5 lnx + 2x³ f'(e²) = f(x) = 2x6 ln x

A: given here f(x) and asked to find f'( e2 ).

Q: X y P= (-4₁3) and v= 2i + 4 j Suppose f(x,y)= A. Find the gradient of f = of i + -j B. Find the…

A: The given fuction is  point  and

Q: Let f(x) = (x-3)-2. Find all values of c in (2,5) such that f(5)-f(2) = f'(c)(5-2). (Enter your…

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Q: Given that f(3) = 2, f'(3) = 5, g(x) h(x) = f(x), then find g'(3), and h'(3) = f(x)

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Q: What present value amounts to $510,912.55 if it is invested for 5 years at 30% compounded…

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Q: Evaluate the following limit. (7x² - y²) lim (x,y)→(6, -6)

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Q: 4. The mean weight of every professional wrestler is 250 Ib. with a standard deviation of 20 lbs. a)…

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Q: Consider the following function. x ≤ 1 (3x + 2, 16-x², x > 1 (a) Find the critical numbers of f.…

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Q: Find a formula for ƒ¯¹(x) if ƒ(x) = = (²+1)* ƒ-¹(x) = (-¹)'(z) =

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A: Given, .we know, .