Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of dollars. Complete parts (a) and (b) below. Ro-+ 10x. Cpx+18

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: We will use the formulae of circumference and volume of sphere to solve this question.

Q: Find the area of the plane region bounded by the given curves: y= x, y= 2x, and x+y= 6

A: Given: y=x, y=2x and x+y=6 Now find the point of intersection between the line y=x & x+y=6…

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Q: 1. Determine if the following function is periodic. If it is periodic find the fundamental period,…

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Q: 1. Given the vector ū = (2,0, 1). (a) Solve for the value of a so that ữ and i = (a, 2, a) form a…

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Q: x3-1 dx J2+2x+5

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Q: 1. If f(x) = *, then f(x + h) = %3D 2. If f(x) =, then f(x + h) = 3. If f(x) then f(x + h) = Vx+2'…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: "Definite Integrals" 1. sin | COS dr -

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Q: Always remember the Antiderivatives of Trigonometric Functions. a. J sin x dx =– cos x + C d. S csc²…

A: Note:-  These are multiple sub parts question and according to company guidelinde we can do maximum…

Q: Evaluate: 2) x-In x dx

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: For each of the following functions z, find and ду 2. z = tan-1 (2)

A: We have to find partial derivatives of z with respect to x and y

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: Evaluate the limit x2+ 19x-48 lim x²+9x+112 X- - 16 X a. 13 23 O b. 19 23 O C. 00 O d. None of…

A: The detailed solution is given below Thank you

Q: Find the limit 8x2+ 10x lim x0 ex-1 a. None of these. оБ. 10 1 10 d. 10 Ое. 0

A: Topic = Limits

Q: Convert to a rectangular coordinate. Convert to a polar coordinates. 5T 10. 11. (-4,4)

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Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x %3D

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Q: 2. Which of the following is a valid trigonometric substitution? (a) If an integral contains 9- 4r2,…

A: Here, to find the valid trigonometric substitution.

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

A:

Q: 4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10…

A: We will use Sine /Cosine rule to find the triangle.

Q: Calculate the area of the region limited by the equation r = 2+2cos φ

A: Given:  r = 2+2cos φ.

Q: 1. S-7e*dx 2. S(2ex – 6*)dx S(3)dx 3.

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: An object’s position function, s, in meters, is given by s(t)= -4.9t 2 +13.2t, where t is measured…

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Q: A rectangular open box is to be made to hold a volume of 50 in3. The base of the box needs to have a…

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Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

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Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: II. A particle is moving along a line with velocity given by the function v(t) = t-…

A: We have to find the position function of the particle at any time t.

Q: 1 X• In( coS lim (* - In(cos )) x00

A: Given

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Change the following rectangular equations to polar form. Show work on separate pape 14. x² +y =10…

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Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: Solve for the general solution using homogeneous

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Q: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: 10. A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so…

A: A conical paper cup is 10 cm tall with a radius 10 cm. The cup is being filled with water so that…

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: 2s-9 d. s2 +2

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Q: dx 5x2 + 16

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

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Q: Evaluate each limit: x +x-30 a) lim x-3 x-6x+5 3-1-4x b) lim X-2 x+2 x+3 c) lim x→-3 Vx-5+2

A: Limit

Q: Line tangeet Find the the equetion of the Cur ve X= 2+ Sec p und at p = to

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Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

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