4. The sum of two positive numbers is 30. One of the numbers is multiplied by the square of the other. If each number is greater than 0, find the numbers that make this product a maximum.

Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

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Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

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Q: Solving by variation of parameters 4y" 4y'- 8y 8e-*, we find that: O u_1=(-2/9) e^(-3x)and u_2=-(2/3...

A: Auxiliary equation and variations parameters

Q: Question 6 Evaluate the integral f w(2w + 3)² dw ... A.) w4+4w³+w² + C B.) w4+2w³+9w² + C C.) w?(w2+...

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Q: 4. A certain computer algorithm used to solve very complicated differential equations uses an iterat...

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A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2...

Q: yx+1 y=0, 0. 7 about the ras Siatch the region. Skatch the solid. and a typical disk or washer 10

A: Here, the given region is bounded by the curves: y=x+1, y=0, x=0, x=7

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Q: Solve each equation for x. (For each answer, enter an exact number. (a) e5x + 9 - 4 = 0 X = (b) In(4...

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Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

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Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: If 5dx + 1 = 2, what is the value of b? 48x2 А.) 2 В.) 4 С.) 8 D.) 9 А) с B D D) A

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Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: Write an equation for a cost function where the fixed costs are $2300 and the variable costs are $20...

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Q: If dx dy and y = 27 14 when x = 1, find y(2). %3D 3x-2

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Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

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Q: VI– 2e* dx

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...

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Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

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Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: - 5(x – 9)(x + 8). Which of the following are true? Select all that apply. b. Suppose f(x) = - OAs x...

A: b) f(x)=-5x-9x+8c) f(x)=6500-x3