Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 8x-.01x² dollars. Find the marginal revenue at a production level of 30. The marginal revenue at a production level of 30 is dollars per unit.

Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = -2y and y = -2…

A: We first sketch the region using a graphing calculator:   We can find the y-coordinates of the…

Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: Consider the function f(x) = x² - 9x + 20 x - 3 a. Find the first derivative. f'(x) = b. List any…

A: We have to find the derivative and monotone intervals.   According to our guidelines we can solve…

Q: Let integral in the order of dadzdy, then what are the limits of integrations? A.0 sz55, Osys…

A: Concept: Changing the limits of the triple integral: A sequential triple integral can be presented…

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Let line 1: x = = = and point P(1,0,1). 2 ● Find the set of parametric equations of the line…

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Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

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Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

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Q: 4. Evaluate the following triple integral. [ƒÃƒ‚²‚x² sin y dy dz dx .

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Q: 2. Consider the circle C₁ : r = 1 and the roses C₂: r= cos 20 and C3 : r = 2 cos 20, each of which…

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Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

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Q: 48. Evaluate: A. (x + 1)³/² + C 5 B. (x + 1) 5/3 + C C. (x + 1) 5/² + C D. (x + 1) 5/4 + C 49.…

A: As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And The common integral; ∫eax+bdx=1aeax+b+C…

Q: 1. A certain ellipse is centered at the origin from which the major axis is always equal to 25 and…

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Q: Evaluate the y' and Simplify the answers Inverse trigo functions y = √x² - 4 + 2arc(csc)

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Q: 6. If y = 3√x, then what is y'? 2 A. y' == x 3 B. y' = 2/2 x3 C. y' = 1/ x3 D. y' = ¹/2 x 3

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Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: mx 13 if x < - 9 - Let f(x) = x² + 3x − 4 if x ≥ −9 If f(x) is a function which is continuous…

A: The objective of the question is determine the value of "m".

Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

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Q: ¯(x) = 6x - 4x x² +1 n [-3,0] on

A: Average

Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: Let fx=2-x-x2 if x≤22x-1 if x&gt;2To calculate the following limits. To enter "DNE" if the limit…

Q: Suppose g(z) zn 2nn n=1 Σ Solve for the value of the integral 1 2-₁ / e²g² (2) dz 2πi |2|=1 using…

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Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: y = (x² + x + 1)²

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Q: Given x = y³+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 B

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Q: d/dx(arctanh(2x)) 2XIn2 A. 1-4X 2x B.- 1-4X 2 In2 C. 1+2x 2x D.- 1-2x

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: The equation of the curves are given by C1: y-x2=-3 ⇒y = x2-3 C2: x+y=3 ⇒y=3-x To evaluate: The…

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: Consider the point P (-3,-1,5), the line : x = 3 t. y, y = -6t -3₁ z = 2t +1, and the Flane 1² : 7…

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Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: First we draw the curves, y=6-x2.y=x,y=-2,x=-2.

Q: 2 5 6z³ -8z¹+2z² 4 Z dz

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

Q: Compute the left and right Riemann sums L4 and R4, respectively for f(x) = √4x² on [-2, 2] and…

A: We can find Left and Right Riemann sums .

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 17. Evaluate the integral or show that it is divergent [(a)-(c)]. 4 6 14 dx (a) wzda, f (b) (b)dx,…

A: As per the instruction, we will be answering the first three subparts. For (a),…

Q: Let S be the surface with equation (z - 4)² = 4x² + 4y². Viewing S as a surface of revolution, find…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Given problem:-

Q: dy Find by implicit differentiation, given that x²y – 2y6 = =-5. Your answer could involve both dx x…

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Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =&gt;       y(y² + 1)dx + x(y²-1)dy = 0

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. -15…

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Q: TYPEWRITTEN

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Q: o - 23 dy

A: