(3y– 2)cy y² +2y+17

Q: f (x, y) = 5ye" – e5x – yð

A: for critical points equate the first derivative wrt x and y to zero.  

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Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet, an...

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Q: Σ Suppose that ax" converges to a function y such that y" – 2y' + y = 0 where y(0) = 0 and y'(0) = 1...

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Q: find dy/dx in plicit dèfferatien XY +5x+5x²=2

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Q: A retailer anticipates selling 7,800 units of its product at a uniform rate over the next year. Each...

A: Given retailer anticipates selling 7800 units of its product at a uniform rate over the next year.  ...

Q: Question #3 a) Find the x-position of all critical points for f(x)= 4x' – 15x² – 18x +1 (Show work, ...

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Q: Use the Product Rule to compute the derivative: Find d/dt ((t^2+1)(t+9)) at t=5

A: To find  ddt[t2+1t+9]    at t = 5 Using Product Rule of Derivatives

Q: The cube root of 64a+/27b³ (There is a divide sign also.) 3164a+/27b3 (All is under the radial and i...

A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: sinx - cosx + 1 sinx + 1 %3D Hint: the conjugate of the denominator XS200S sinx + cosx - 1 cosx is s...

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Q: yay 4. +4y+11

A: The given integration is: ∫y dyy2+4y+11  To find the value of the integration.

Q: f(x) = 2x/4x² + 2 (A) Find all critical values of f. If there are no critical values, enter -1000. I...

A: In order to find the critical values, increasing interval and decreasing interval of f(x). We must d...

Q: If F(x) = f(g(x)), where f(-4) = 5, f '(-4) = 3, f '(4) = 1, g(4) = -4, and g'(4) = 8, find F '(4). ...

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Q: Fx to find Fy dy Assuming - 3x° + 6y + 3xy = 0 defines y as a differentiable function of x, use the ...

A: The equation is  -3x2+6y2+3xy=0

Q: Determine whether the series converges, and if so find its sum. f the series diverges, indicate that...

A: Topic:- sequence and series

Q: Find each function value and limit. Use ∞ or co where appropriate. 3x3 - 6x2 f(x) = 10x* +5 (A) f(- ...

A: given f(x) =3x3-6x210x4+5at x = -6f(-6) = 3×-63-6×-6210×-64+5f(-6) = -0.067at x = -12f(-12) = 3×-123...

Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

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Q: (15 In(x) + 1)6/2 dx Consider the indefinite integral Then the most appropriate substitution to simp...

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Q: 5x6 + x3 + 8x – 2 - 8. lim x→-o 6x4 – 4x3 + x² + 1

A: Given query is to find the limit of the expression.

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

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Q: Need help on review please

A: Topic :- function

Q: 1 xp2 xV9x²-4

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Q: Let T2(x) be the 2nd degree Taylor polynomial for the function f(x) = 7 + xe-2* centered at a = 0. F...

A: Given,            The function is fx=7+xe-2x centered at a=0.To find : The Taylor polynomial of 2nd ...

Q: S(secx – tanx)²dx

A: I have stated the used formulas in the solution

Q: x²+2 2. ミト

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Q: We want to construct a rectangular box, with length x, depth y, and height x. The material used to b...

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Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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Q: Given P = R S°T0.5 + RO.5 S sin(2T) what is P ƏR

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Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy - 2x – 2y...

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Q: 31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to w...

A: We have to solve part a and b.

Q: Determine if the graph in the figure represents y as a function of x. Explain your reasoning. 8- 7- ...

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Q: Find all local extreme values of f(x) 6x2 16z + 60. The FIRST local extreme value, moving from left ...

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Q: f(x+h) = 1/x+h+3 compute and simplify f(x+h)-f(x)

A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: 5. This is the graph of which equation? 4 + 3 (1, 3) 2 1(0, 1) -5 4 -3 -2 1 2. 3. 4 5 X -1 -2 + -3 4...

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Q: A lady saves $20,500 in 12years. In each year after the first, she saved $200 more than what was sav...

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Q: Find the maximum value of f(x, y) = 2x? y + 5 on the unit circle. (Give an exact answer. Use symboli...

A: Given fx,y=2x2y3+5 on unit circle. We have to find maximum value.  

Q: 1-4 Find the linearization L() of the function at a. 1. /(0) ) - x' - + 3, a--2 2. /() sin x. 3. /(x...

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Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Use LaGrange multipliers to find the maximum and minimum for the function f(x, y)=x² +2y² restricted...

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Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: The graph of the function g(x) contains the point (5,1/3). What point must be on the graph of y = 3g...

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Q: 1 dx x2 + 1

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Q: ft= VTt tan t

A: Given:     ft=1+tan t9 Taking derivative on both sides    f't=ddt1+tan t19 Apply power rule:       u...

Q: Functions f and g are defined by g(x) = V-x+4, x<4; xeR h(x) = 2e*, x20; xeR (a) Find the composite ...

A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

Q: larger slope y =

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Q: de

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Q: Solve the given differential equation by undetermined coefficients. у" + у'+ у 3x sin(x) y(x) =

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