Solve the following problem by the two-phase method: Maximize -₁ - 2x2 subject to 3x₁ + 4x₂ ≤ 12 X1 x2 2 2 X1, X₂ ≥ 0.

Q: A parabola is modeled with the equation x² - 12x + 4y + 24 = 0. Which is the domain and range of the…

A: This question is based on Parabolic function domain and range.

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A: Given: A stone thrown into still water causes a series of concentric ripples. If the radius of outer…

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Q: Which of the following is the general solution of: y²dy + x³dx = 0 Select one: a. y³ x4 -k 3 4 O b.…

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

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Q: 4. Find an equation of the tangent line to the curve of f(x) at the given point. 2x + 11 (a) f(x)= =…

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Q: In sketching y = O y = 0 and y = 3 In (x-2)² end None of the choices no horizontal asymptote Oy=0 O…

A: Horizontal asymptotes

Q: 13. Determine lim sin x. x→0 A. 1 B. -1 14. Determine lim sin x. x-72 A. 1 B. -1 15. Determine lim…

A: 13. limx→0 sin x14. limx→π2sinx15. limx→-1ex+1 Note:     Multiple parts are given, we are answer…

Q: The following identity is not equal to 1-cos(t) [sin(t)]² t [1+cos(t)]

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Q: can you please write it clearly I can't understand it

A: As per Bartleby guidelines rule I am answering only question number 1 as both question are different…

Q: The graph below is the function f(x) 4 -5 -4 -3 -2 -1 1 2 Determine which one of the following rules…

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Q: Find dy if y=t² & t = √h and h = x² dx

A: Given :y=t2t=hh=x2

Q: Find the extrema of the function: f(x) = sinx cosx Find:  1. Critical Values 2. Maximum and…

A: We are given the function f(x) = sinx cosx. It can also be written as f(x)=12sin(2x). For (1), For…

Q: Determine its amplitude, period, and midline. Consider the function f(z) = 2 (cos (z − 3) + 3).…

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Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: 5. A tank is full of water. Find the work required to pump the water out of the spout. Water weighs…

A: A tank is full of water. Find the work required to pump the water out of the spout. Water weigh is…

Q: Simplify the expression from the previous step by canceling the common factors. sin ²0+ The…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: A) Find (). If (x,y,z)variables, and (2) a function in (x, y), and achieve the equation: 1 z+y²+…

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Q: j x+x2+x+2dx **+3x²+2 lax of S x²+1 of (x²+1)(x²+2) 01 +1 -1 of x²+2 (x-1)dx (x²+1)(x²+2)

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Q: 24 १. शुक dx +3

A: The given integral is: I=∫x4x5+33dx    ...1 As we know the Power Rule: ∫xndx=xn+1n+1+C

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Q: Find the surface area of the hemisphere: 6 cr

A: Given that hemisphere and the redius of this hemisphere is 6 cm. We find surface area of this…

Q: Solve for the general solution of the given ordinary differential equation using determination of…

A: The given diffrential equation,x2+y2+1dx+xx-2ydy=0

Q: Question (3): Determine the absolute extrema of the function f(x) = x² + 2x - 4 in the interval…

A: Given :f(x)=x2+2x-4   [-1, 2]

Q: can you please solve the other

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Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: as a single logarithm and, if possible, simplify. -log b +3 log c log b + 3 log c = Use parentheses…

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Q: Consider the function f(t)= 3 sec^2 (t) - 3t^3. let F(t) be the anti derivative of f(t) with F(0)=0.…

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Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 57 8 Round your answer…

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Q: dx 1. 1+x¹ et, 2. f dx e²+e~x 3. fxsec² x dx

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Q: √ ² (2 + Inx) ² 4x dx

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Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

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A: We have to evaluate ∫4x+4 dx.

Q: O Ο Ο αγχ? + 9ax τ enla

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Q: Q2: Determine the solution of each of the following initial value problem s (a)y"-y-6y=2e-2x, y(0) =…

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

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Q: = cos(xyz) + ln x5 - sinh y² + 3z at P(-1, 3, 0) Given: f(x, y, z) af(x, y, z) Find: дz 0 1 3 0 None…

A: See the details solution in below

Q: Question 12 Which of the following sections cannot be obtained from a cone? Select one: O A.…

A: if we cut the cone horizontally we get circle

Q: Q1:- Represent the cell in which the following reaction takes place Mg(s) + 2Ag+ (0.002M) → Mg+2…

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Q: The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve…

A: Given the graph of function f(x) is

Q: It is estimated that t years from now the population of a city will be P(t) = 20(60 + 3)² - 1100t.…

A: The population of the city after t years from now is given by, P(t) = 20(60+3t)2 - 1100t

Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: x² + 10 x3 + 3x² + 3x + 1 dx

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Q: No Problem In Exercises 1-6, set up and evaluate the integral that gives the volume of the solid…

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Q: = 2 and The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x…

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Q: Evaluate the function below from x = 2 up to x = 4. S((1+x) √æ -)dx All associated angles are in…

A: To evaluate the value of function given from x=2 to x=4.