If the marginal revenue (in dollars per unit) for a month is given by MR= -0.3x + 300, what is the total revenue from the production and sale of 80 units? $ Need Help? Read It

Q: Establish the indefinite integral: f tanxdx A) In sinx|+C O B) −In\cosx| + C C) sec²x + C OD)-cotx +…

A: The given integral ∫tan x dx We have to evaluate this integral.

Q: Can you please evaluate part IV and V? Can part b and c also be completed?

A: We have find the integral of  4) ∫x4 exdx5) ∫x5 exdx

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A: Given a function f(x)

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A: We can find area.

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A: To find the critical point and the interval on which the given function is increasing or decreasing,…

Q: Give A = a -2 0 b 3 -2 -1 3 d L-5 4 AxB = -8 6, B = 5 1 0 -1 2 41 3 9 2 21 -11 31. Find all missing…

A: To find the missing values.

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A: Please see the below answer. Answer is written serial wise.

Q: Evaluate the integral. S. 4 √x (1+4√x) 3 dx

A:

Q: Evaluate sin-¹(cosx) dx using integration by parts. (A) B xsin ¹(cosx) + = + C x² ++C 2 D xsin…

A: The given integral is: I=∫sin-1cosxdx   As we know that; The Chain rule: fgx'=f'gx·g'x The Power…

Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

A: Given query is to find the value of the integral.

Q: 3. Prove that if a 0.

A: To prove that if a<0 and b<0, then ab>0.

Q: Please review. Solution provided is incorrect and unreadable.

A:

Q: For g(x) = X x + 3 state all intervals for which is concave up, concave down g

A: Given, gx=xx+3

Q: Q1/Solve by Gaussian elimination method 2x+3y=2

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Q: d. f(x) = x tan-¹(x²), a = 0

A:

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A: We check the hypothesis of Rolle's Theorem .

Q: 17. x = 2y², x = 4 + y²

A: Given curves equations:- x=2y2,x=4+y2

Q: bound by Find the area i) у=0, x=Q, y=x, x=4 ii) y=0, y=/-x2 її) у =0, у=а, у=хе

A:

Q: Evaluate the definite integral (1+√4-2²) L dx.

A:

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Q: Marginal Profit Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After…

A: The given question is of Marginal Profit.

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A: Let x be  the present  amount of radioactive material

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Q: 7. (D²+2D+1)y=(e-1)-². 9 (D² 2x)-1/2

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Q: 1 /₁+422da dx 1+ 4x2 15. Evaluate (a) tan-¹(x) + C (d) tan-¹(2x) + C -1 (g) tan-¹(x) + C (j) None of…

A:

Q: Let f(x) = x³ + 6x² + 6x and let c be the number satisfying the Mean Value Theorem's conclusion on…

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Q: 12. f sec² 20 do

A:

Q: A country is in a state of civil war. As a consequence of deaths and people fleeing the country, its…

A: Note:- These are multiple subparts according to company we can do maximum 3 sub parts. So i am doing…

Q: For the function, find the indicated expressions. f(x) = x² In(x) = x² (a) Find f'(x). f'(x) = X (b)…

A:

Q: Determine the quadrant in which the terminal side of lies. (a) cos 0 0 (Choose one) ▼ (b) sin 0 <0…

A: Given query is to find the quadrant.

Q: The equation r(t) = (6t)i + (6t − 5t²)j + (5) k gives the position of a particle in space at time t.…

A: Given the position vector r→(t)=(6t)i→+(6t-5t2)j→+(5)k→ We are required to find the angle between…

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A: Given: y2=4x+2y

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A: given function is    f(x)=1x  and  x on [ 1,5] using intervals n = 5    then   ∆x=b-an=5-14=1so  x =…

Q: Use the appropriate doubling time formula and the given information to answer the following. a)…

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Q: Find the area of the shaded region. f(x)=x²-8x³ +21x², g(x)= -14x+136 (-2,16

A: Here we have to find the area of the shaded region,  f(x)=x4-8x3+21x2, g(x)=-14x+136

Q: The matrix A can be factored as A - Find A4 A4 = PDP-1 where D = D-[-²] 0 21] 20 and P = -5 -3 -13…

A: The matrix A can be factored as A=PDP-1 where D=-2002 and P=-5-13-3-8.To find A4.

Q: Use properties of the integral and the integral formulas to calculate the integral. [₁³(2x - 6x²) dx…

A:

Q: Given the point (4,1) in rectangular coordinates, find the polar coordinates of the point where r >…

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Q: fx(2x + 5)³ dx

A:

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/8…

A: Given, f(x)=ex/8, from x=0 to x=8

Q: 4) The function y₁ (x) = x is a solution of the equation (x² + 1)y" − 2xy' + 2y = 0. Use Abel's…

A: The given differential equation:x2+1y''-2xy'+2y=0.Also, it is given that y1x=x is a solution of the…

Q: Question 5.3: Calculate 2x sin ²0 5+4 cos 0 dᎾ .

A:

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax=1. 4 (a) Find Σ f(x;) Ax. i=1 (b) The sum…

A: use limit of sum amnd function property.

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Suppose f is a differentiable function such that f'(x) ≤ 3 for all x = [−3, 8]. If ƒ(-3) = 4, the…

A: To use mean value theorem and find V

Q: 15. Find the average value of f on [0, 8]. 1 0 2 4 X

A:

Q: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the…

A: Use integration by part formula