Let 5x³ - y³ + 52³ - 4xyz - 874 = 0. дz Use partial derivatives to calculate and ?х дz ?х дz ду (6,-1,-3) (6,-1,-3) = дz ду at the point (6, -1,-3).

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A: The given curve is: f(x,y)=3x2-5xy-5y2+4x-3y+5

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A: Given that ∫∫∫Bx2 +lny+zdVB=(x,y,z)|0≤x≤9,1≤y≤3,0≤z≤1

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Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

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Q: Write out the first five terms of the sequence with, [(1 - 7)", determine whether the sequence…

A: To write out the first five terms of the sequence with 1-7n+7nn=1∞, to determine whether the…

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A: We need to write down that the given statement is true or false.

Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= =…

A: Given that y=lnsinx  ,0&lt;x&lt;π   starting point is π2,0To find :Arc lengthSolution :Arc length…

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A: The given series ∑n=1∞7nn2+135 We have to find the convergent of the series using integral test.

Q: 15 4x(3x+5) 15 4x(3x+5) Find the partial decomposition for the rational expression. 4X 3x+5

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Q: the absolute extrema if they exist, as well as all values of x where they occur, for the www ect the…

A: Topic:- application of derivatives

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Q: 1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/l per…

A: Given :- f't=-100e-0.25t f't=Rate of change of the concentration of a rug in a patient bloodstream…

Q: 7. Solve the initial value problem as a linear first-order differential equation: xy' + 2y = 2²-1+1,…

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Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: If √√√x + √√y: = 6 and y(25) = 1, find y' (25) by implicit differentiation.

A: If x+y=6 and y25=1, then to find y'25 by implicit differentiation.

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A: Solve the following

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Q: 17. g'(z) for g(z)= az a² + x² (2+x)' 18. f'(x) for f(x) = -

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Q: The population growth model of a city is given by: dP P(0) = 235. P = 0.34 P, The population size…

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A: Given:      f'x=xx-2x+6 To get values of x is fx decreasing put f'x&lt;0        xx-2x+6&lt;0…

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Q: If f(x) = (7 sin x + 8 cos x)tan -1 x, find f'(x). Hint: Use the product rule! Question Help:…

A: Given; f(x)=(7sinx+8cosx)tan-1x.

Q: The population growth model of a city is given by: dP P(0) = 235. P = 0.34 P, The population size…

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Q: Given y=pq, find dp/dt when p=30, q=250, dq/dt=-200, and dy/dt=-5250.

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Q: The given differential equation is a logistic equation: True or false? Select one: O True O False dx…

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Q: Using the substitutionsz=sin y and dz=cos y dy, the differential equation (3sin y - 5x) dx + 2x² cot…

A: Here is the solution:

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Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 12(1 -…

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Q: Let f(x) = tan ¹(cos(8x)) f'(x) = Question Help: Video Message instructor

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

Q: a) Find the linear approximating polynomial for the following function centered at the given point…

A: Solution: a) f(x)=e-x Now it's the first derivative f'(x)=-e-x Now it's the second derivative…

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Q: if lim f(x, y) = f(0, 0) then (x,y) →(0,0)* f(x, y) is continuous at (0, 0) Ignore "Give your…

A: Given:lim(x,y)→(0,0) f(x, y)=f(0, 0)

Q: Use Laplace transforms to solve the initial value problem: y" - 4y = 2e³t, y(0) = 1, y'(0) = −1

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Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

A: we need to find out the intercepts, critical points, point of inflection, etc.

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Q: d the equation of the surface in Cartesian coordinates, given the equation in cylindrical…

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Q: Function g is graphed. -3 -2 -1 4 g A -1- S²90 Y 3- di -2- -3- T Find S g(x) da. Give an exact…

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