sider the function f(x, y) = x² + 2xy – 6x – y² + 2y + 1. %3D e box below, enter the maximum rate of increase of f at the point (1, –1

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Q: b3 (a 0, b 0) is y The critical point of the function f(x,y)=Dxy+

A: Here we use differentiation with respect to x and y of the function  f(x,y)=xy+a3x+b3y

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Q: E- Find the extrema of the function f:RR, f(x)= +*; +X;X Determine x + x the nature of the extrema…

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Q: Find the specific runction value. Find f(0, 1, -1) when f(x, y, z) = 4 ×- 8yz + 5x. O-7 8 -8

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Q: 3. d² y dx-² 5 -3x4 y d³y dx-3 = x ln x

A: Here is the solution:

Q: 5. Consider f(r, y) = x + 3y - (a) What is the domain of f(x,y)? (b) At P(2, –1) find the rate of…

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Q: H.W Is f (x) = x. |x| differentiable function? %3D

A: To find  f(x)=x|x| is differentiable function or not.

Q: 4 f:[0,00)→R all continious function aro Sx³f(x?)dx= Sx f(x) dx %3D show this.

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Q: Differentiate the functions: a. k(t) = et + te b. y = e-3xsin3x c. y = (ex) / (1 - ex)

A: Authoring guidelines***…

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Q: Exercise: Find dy O y = lox +3 Cost ® y =cscx- 4 Vx +7 Cotx 1+ Cotx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Find the maximum rate of change of the the function 80 f(x, y, z) = 1+g² + 2y? + 3z² %3D at the…

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Q: 3zyz f(x, y, z) = e %3D fz fy = f =

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Q: f(x +h.y)- f(x,y) For the function f(x.y) = 3x + 8y, find f(x +h.y)-f(x,y) %3D

A: Solution

Q: &r4- V Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal…

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Q: consider the function f(x, y) = esin(= Find the maximum rate of decrease of f at the point

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Q: 22. Let f(æ,y) = xe¥. What is the maximum rate of change of f at the point (2,0)? O a. V5 O b. 5 О…

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Q: 2. Find the most general antiderivative of the function. Check your answer by differentiation. 3t4 -…

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Q: . Test for an extremum the functional I[y(x)] = [(x»+ x² – 2y²3y')dx, y(0)= 1,y(1)=2 |3|

A: test for an extremum the functional

Q: cost dt F(x) = ecost dt and G(x) = | •

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Q: xi (9a“ –10) The antiderivative of f (x) = is F (x) = 30 where "a" is equal to

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Q: y/ = y³ – y² – 6y where y is the dependent variable which is a function of the independent variable…

A: solution is attached below with detailed explanation.

Q: F(x,y)=x3-y3-2xy+6 find the local maximum and minimum

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Q: = [[ F - a5, I = S F = î4æz – jy² + kyz 1

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Q: Jester Sports manufactures tennis rackets. The total cost of producing a rackets per hour is given…

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Q: y2 f(x, y)dx dy Let f(x, y) = e-x2-y² and

A: answer is in next step

Q: e function f m (0,0) to

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Q: f(x) = | e'f(t) +e² dx %3D then f(x) is equal to 2ee -1 + 1 ee –1 +1 2. seçenek 4. seçenek 2ee -1…

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Q: dz dz For the function z= f(x.y)= - 2x + 5y? + xy, find f, (5,5), and f, (5,5). dx' dy

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Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

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Q: Consider the function f(x, y) = ln(25 – x² – y²). а. Find and sketch the domain for this function.…

A: We will find out the required solution.

Q: . find the equilibrium point (both the p and q) b. find new equilibrium point with a $0.40 tax…

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Q: a Find the antiderivative of: ii x2 iii 25 iv x-2 b From your answers in a, predict a general rule…

A: We find antiderivatives here.

Q: Find the maximum rate of change of f(s, t) = test at the point (0, – 1). Answer:

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Q: 5. approximate the number V0.9. Find the linear approximation of the function f(x) = v1 – x at a = 0…

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Q: Find the critical point of the function: f(x, y): 8 – 3x – 8a? + 4y + 7y? (x,y)= This critical point…

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Q: valuate dy and A v for v = f(y) = x2 -6x +35 x =4 and dy = Ax= 05

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Q: Maria thinks that the maximum point of y= -(z – 1)* + 1 is (0, 1), Jena disagrees. Who is CORRECT?…

A: Maria thinks that the maximum point of y=-(x-1)2+1 is (0, 1)

Q: Find the elasticity. q=D(x)=900/(x+7)^2

A: Given

Q: y =f(x): 2 1 -2 7 4)

A: Let ∆x = 0.5. From the graph, determine f(-1-∆x) and f(-1+∆x). From graph,…

Q: 35. Find all points at which the direction of greatest rate of change of the function f (x, y) = x²…

A: Find your answer below

Q: af The maximum rate of change at a point on a function f(x, y, z) is |3D да ylgn ihi

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