The marginal revenue of the xth box of flash cards sold is  200e−0.003x dollars per box.  Find the revenue generated by selling items 101 through 3,000. (Round your answer to the nearest cent.)

Q: Find a parametrization of the line in which the planes x+2y+4z=-4 and 2x+3y+6z= -7 intersect. Find…

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Q: (c) (d) (e) creasing? Does g(x) have any critical points? If any, identify all critical points. On…

A: Given: To Find: (c) To find the critical points if any of g(x).(d) To find the interval(s) on which…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer…

A: The left-piece graph represents the upward parabola and the derivative of the parabola is always a…

Q: S 3 6x²4x³ dx 24

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Problems 1-10, multiple choice. 1. What is the average value of y = e* on the interval [2, 7] ? A.…

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Q: K Evaluate the following integral. X 2 X 2 x +3 +3 dx dx =

A: The given integral is x/(x2+3).

Q: Determine the area of the given region under the curve. 1 y X

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Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

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Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph f(x)=√14…

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Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

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Q: Suppose your newspaper is trying to decide between two competing desktop publishing software…

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Q: Find the following for the vectors v=6i +j and u = 9i + √3j. a. v u, vl. lul b. the cosine of the…

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Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: To find the value of y, substitute the value of x and solve for y.To find the value of x, substitute…

Q: Estimate the area under the graph of f(x) = 1+x² from x = -1 to = 2 using six rectangles and right…

A: Given,from x=-1 and x=2

Q: Find the area of the region between the curve and the x-axis. f(x) = 16-x², from - 7 to 7

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Q: 3) Use the method of Lagrange multipliers to find the points on the curve x²y = 2 nearest the…

A: The given equation of curve is Let the point  on the curve which is closest to origin

Q: Find ♬ as a function of x and evaluate it at x = 0, x = π/6, and x = π/2. -["sin e de Ꮎ F(x) F(0)…

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Q: Question For which value(s) of x does f(x) = 3x - 10 have a tangent line of slope -4? If there is…

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Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2. ftc F(x) F(0) F(x) I = =…

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Q: Find the area under the given curve over the indicated interval. y = 6x² + x +4e4 ; x = 0 to x = 7

A: The given curve .The aim is to find the area under the curve in the interval .

Q: Use polar coordinates to calculate A = ²³² dA where D is the region in the first quadrant - bounded…

A: The given integral  where D is the region in the first quadrant bounded by To find value of

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 3. g(x) x² +5

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Q: Consider the following function. 1 (x-4)² Step 1 of 2: Determine the more basic function that has…

A: The given function is,

Q: A calculator may be used on the following questions. The base of a solid is bounded by y = tan²x and…

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Q: (Technology Permitted) Find the area of the region enclosed by the graphs of f(x) = - 3x +6 and g(x)…

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Q: Sex. (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from C (0,3,0) to…

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Q: Find the value or values of c that satisfy the equation the given function and interval. f(x) = 7x +…

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Q: Find the derivative of the function. (37) 2 S = sin 3nt 2 - COS

A: Given,

Q: Use complex number operations to determine the solution to the expression below. The final solution…

A: To simplify the following expression.

Q: (a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: (a) The variable g|--Select---by (b) The variable g-Select---by Complete the following sentences.…

A: Given function

Q: Evaluate the double integral •x=√4-y L (x + y)dxdy by y=0Jx=1 (a) sketching the region of…

A: We have to evaluate the double integral  Then we have to answer the following...

Q: 1 sin y Y (a) sketching the region of integration (b) then by evaluating the resulting double…

A: The given integral is

Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

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Q: Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x -…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WO FOR BETTER…

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Q: A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is…

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Q: Suppose the equation 1 40 y = 22 models the height of an arrow where is the horizontal distance in…

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Q: Problem #7: Evaluate the surface integral f FdS where F(x, y, z) = xyi - y²j-9zk and S is the sphere…

A: Calculate F.dS where  F(x, y, z)  =  xyi − y2 j − 9zk  and  S is the sphere  x2 + y2 + z2  =  9…

Q: Given the graph of the function f (a) below, use a left Riemann sum with 4 rectangles to approximate…

A: Given the graph of the function  below, by using  a left Riemann sum with 4 rectangles to…

Q: Sketch the graph of the function. f(x)=x²-x² -2 -2 Find the area of the region bounded by the graph…

A: Since you have posted multiple questions. According to bartleby guidelines, only first question will…

Q: Determine the integral by making the appropriate substitution. 1 2 x In 3x dx ⠀⠀

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Q: For which value(s) of x does f(x) = 6x + 11 have a tangent line of slope -2? If there is more than…

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Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

Q: Sketch the slope field and sketch two solutions for the differential equation. (a)

A: Since you have posted multiple questions in a single request, we will solve first question for you.…

Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: A landscape architect would like to design a rectangular flower garden with an area of 128 square…

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