Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 15x-.06x² dollars. Find the marginal revenue at a production level of 35. The marginal revenue at a production level of 35 is dollars per unit.

Q: 10 End of block exercise: Pase 1002 find a solution: general solution of the differential equation…

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: For the following function find (a) f(4), (b) í (b) f 2 f(x) = 4x² - 24x + 21 (a) Find the value of…

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Q: Determine whether the series sum. 1 12 16 3 4 The series is divergent. n=1 4n-1 is convergent or…

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Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: Suppose that f(x, y) = e/ on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

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Q: Solve:  9 d2y/dx2 - 24 dy/dx +16y = 0;  y(0)=3, y'(0)=3 Write the letter corresponding to your…

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Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

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Q: Find the area of the of the region that bounded by the following cases: TT 1- the curve y = cosx…

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Q: In one area, the lowest angle of elevation of the sun in winter is 20° 11'. Find the minimum…

A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

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Q: 6. Solve dy/dx = 3x^2 - sin y/ x cos y a. -x sin y = x^3 + c b. x sin y = - x^3 + c c. x sin y =…

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Q: (f) 2 dy (2y+3) 4x+5 dx y(1) = 3

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Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

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Q: What are the coordinates of the equilibrium point? (Type an ordered pair.)

A: Follow the procedure given below.

Q: Repeated Irreducible Quadratic Factors: Examples Sa++²2a²+1 da

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Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

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Q: 14 Approximate (x²-6) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

A: Please follow the next step.

Q: 2) If z = -1 + √3i 2 2π 3 || then the angle 0 in polar form 0 True False O

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.

Q: Given the function, f (x) = -2(3)*+² +7 a) Find the average rate of change of f(x) between x = 4 and…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Explained below

Q: ow that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: To find the direction derivative.

Q: find f'(a) f(t) = 1/(t2+7)

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Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Repeated Irreducible Quadratic Factors: Examples 2x² +9 x4 + 10x² + 25 dx

A: The given integral is;  (2x2+9)/(x4+10x2+25).

Q: 04: Find dy/dx for the following function: (2) y = 7csc √2x+3

A: solution is given below

Q: Use Newton's Law of Cooling, T = C+ (To - C)ekt, to solve the problem (bonus) 11) A lasagna removed…

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Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

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Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: dx √x(x+1)

A: We have to integrate given term.

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: We have given  Resistance (R)= 423ohm  Current (I)= 0.05A  dV/dt= -0.06V/s  dR/dt= 0.04ohm/s

Q: ate of change of S is directly proportional to S(x), where S(0) = 10 and S(4) = 40 k, the…

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Q: 2)If z=(2√3-2i)2 then the angle 8 in polar 7n 117 6 6 form: خیار 1 117 اس 3 خبار 2 خبار 3 C

A: z = (23 -2i)2 z= (23 )2- 2*23 *2i  + 4i2 z = 12 - 83i -4 z = 8 - 83i

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s -…

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Q: Find the area of the region bounded to the right by x = y + 3 and to the left by x = y² + 2y + 1. K…

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Q: Find the interval of convergence of the power series: ∞ n [²(+1²] (x + 1)n 1)"] 2n n=0

A: To find the interval of convergence.

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

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Q: Consider a beam of length L with a fulcrum x feet from one end (see figure). There are objects with…

A: Consider a beam of length L with a fulcrum x feet from one end see figure. There are objects with…