d) f(x,y)=x+y+x³y² e) f(x,y)=6x+10y f) f(x,y)=x0.25 0.75 Calculate of/ox (the partial derivative), af/ay (the partial derivative), and af/ax/af/ay. (You'll see why we calculate the ratio of the two partial derivatives in the next chapter!) Note, the derivative of ln(x) is 1/x

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

A: Formula we use d(xn)=nxn-1dx. d(f+g)=d(f)+d(g).

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A: The marketing research department of a computer company used a large city to test market the firm's…

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A: Given vector   v→=1, -2, 3

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A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

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A:

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A: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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A:

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A:

Q: Jse any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

A: As per the guidelines I am supposed to do the first question among multiple questions, So here I am…

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A:

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A:

Q: Use the four-step process to find f'(x) and then find f'(2), f'(3), and f'(6). f(x) = 2x² - 9x+10…

A: Solution is given by

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A:

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A:

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A: Given: y=8x3,y=0,x=1 about x=2

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A: This question can be solved by applying the concept of product rule of differentiation.

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A: We can solve this as follows:

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A:

Q: x²y' = 4x² + 7xy + 2y²

A: We use homogeneous method to solve the given differential equation.

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A:

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A: Given that an aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water.

Q: Suppose Find the value of b. b=_ lim x+4 2²+bx+c = 7. - 4 8

A:

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A: The objective is to find the exact value of the distance between the line passing through 1,3,2 and…

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A: Given planes:- P1:x-y-z=0P2:2x+y-2z=-3

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A:

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A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

A:

Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

A:

Q: . Evaluate the definite integral.   8 5x − 1 x2(x + 1)  dx 1     please show step by step .

A:

Q: 3. Determine whether the following function y=c₁x + ₂x³ + 2x²e* - 2xe* is a solution to the…

A: We have to determine given function whether solution of given differential equation.

Q: 10.    Use Trapezoid approximation with n = 4 equal subintervals to approximate the value of 1…

A:

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A:

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A:

Q: Evaluate ∫ (3x2 − 20x )dx .

A: Given, ∫3x2-20xdx

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A:

Q: Part 2: Graph the linear equations using a table of values. 7) y = x + 2 X 7 4 0 -8 -6 -4 X+2 -2 6 4…

A:

Q: Consider the following graph of the function g. गोरग -2 0 1 2 -3 + N + - M 3 From the given graph of…

A:

Q: Which of the following equations is a linear differential equation? (choose all possible answer) A B…

A: A differential equation is called linear if the equation is free from the product of dependent…

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A:

Q: Find the curvature of the curve y = 4e-4. a) Ok= b) Ok= c) Ok= d) Ok= e) Ok= 64 e 4 x (1 +…

A:

Q: resut. 397. 398. 399. Id dx 19-2 dx 11-16x² dx √9+x²

A:

Q: 2 4-x-y f(x,y) = √4-x In(x)

A: Please see the below picture for detailed solution.

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A:

Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips (1.95.7.7) T7 6 4 2 t…

A: Concept: Rate of function =slope of the tangent at point (x2,y2) and (x1,y1)m=y2-y1x2-x1%rate of…

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A:

Q: Find the limit. NOTE: Enter an exact limit if it exists. If the limit does not exist, indicate that…

A: Let's find limit of given function.

Q: Example 4: a) Find the inverse of the function f(x) = 2(x + 4) - 6 b) How would your answer to a)…

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