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Q: (a) A company's average cost function (cost per item) is given by 25000 C(x) = + 10 + 0.1x, x > 1, w...

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Q: Using Rolle's Theorem. Two cyclists start the race at 10 am, both finish 5 hours later. Distance 21....

A: Given Data: Time start of race is t1 = 0 hr. The time taken to finish the race is t2 = 5 hr. Let s...

Q: Find all the values of a > 0 such that the given series (Зх — 0.4)* - k2 k=1 is convergent from x = ...

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Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market...

A: From the given supply and demand functions 81-x2=x2+6x+25 2x2+6x-56=0 x2+3x-28=0 x=-7, 4

Q: The dimensions of a rectangular solid are in the ratio 1: 3: 12 and its volume is 562.5 cm2. Find th...

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Q: If 1,100 square centimeters of material is available to make a box with a square base and an open to...

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Q: 4. Find Lim?→0^+ (1/(e^x - 1) - 1/x)

A: Given : limx→0+1ex-1-1x

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to fiv...

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Q: For the equation, find dy/dx evaluated at the given values. (3)^ √ x + (3)^ √ y = 6 ...

A: 3x+3y=6 Differentiating with respect to x, we get ⇒d3x+3ydx=d6dx⇒3xln3·dxdx+3yln3·dydx=0 ∵daxdx=a...

Q: The admission fee at an amusement park is $4.25 for children and $6.00 for adults. On a certain day,...

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Q: X46+ For the functioA fla): = yE

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Q: Help me fast.....I will give Upvote.....

A: Part aGiven, ∫0TWt2 dWt - t dWt

Q: A garden has a total of 15 flowers, of which 10 are in bloom. If you select 2 at random, without rep...

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Q: What is the maximum vertical distance between the line y = x + 29 and the parabola y = x² over the i...

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Q: Calculus Question

A: GIVEN THAT n = 3040 - 80P Find total revenue per.month function as

Q: Evaluate the limits. 2.r2-3 r 1 Enter DNE if the limit does not exist. a) lim f(r) = 2-1- b) lim f(r...

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Q: Find the volume of the solid obtained by rotating theregion bounded by the given curves about the sp...

A: To Determine: Find the volume of the solid obtained by rotating the region bounded by the given curv...

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain pro...

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Q: A box with a square base and open top must have a volume of 500,000 cm³. We wish to find the dimensi...

A: Given: A box with a square base and open top must have a volume of 500000 cm3.

Q: For the function f whose graph is shown, state the following. (If an answer does not exist, enter DN...

A: (a) From the given graph, it its found that the curve move towards the negative larger number as X a...

Q: Find all the values of x > 0 such that the given series k=1 is convergent from x = , left end includ...

A: The given series is ∑k=1∞kxk. Compare the series ∑k=1∞kxk with ∑k=1∞ak and obtain ak=kxk. By the rat...

Q: At what point on the curve x 3t2 + 1, y = t3 - 5 does the tangent line have slope (х, у) :

A: We have given curve as x=3t2+1 ⋯⋯1y=t3-5 ⋯⋯2 From the equation (1) and (2), on dif...

Q: Find the integral. :)

A: Given: I=∫26x−2dx

Q: Al's Appliances employs ten salespersons. To motivate sales, the store is going to award prizes to t...

A: Given data, There are 10 persons. For the 10, there are 3 prizes to be awarded. First prize is a ...

Q: Consider the series ak where (k5 + 100) ap = k! In this problem you must attempt to use the Ratio Te...

A: Given,ak=(k5+100)k! To determine whether the series ∑k=1∞ak converges.

Q: Answer number 20 only

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given eq...

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40 cub...

A: The dimensions for least amount of material is let X is the base edge and height of the box is h X= ...

Q: 60 50 40- 30 20 10 -10 10 20 30 40 10 You are a lifeguard and spot a drowning child 40 meters along ...

A: Given: You are a lifeguard and spot a drowning child 40 m along the shore and60 m from the shore to ...

Q: Find the indefinite integral. :)

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Q: Let f(x) = 2x-20x+7. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Find...

A: a.)Given function f(x) - f(x) = 2x2-20x+7Slope of the function = f'(x) = ddxf(x)Differentiation f(x)...

Q: Find the mean and median of the probability density function. See Example 4. (Round your median to f...

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Q: Becausd of terra in difficuties, 2 Sides of a fence Loa be built foc$3 Per tt, while the (ther 2 Sid...

A: Given fencing needed for the field below. The cost for two sides is $7 per feet and $3 per feet for ...

Q: Consider the series ak where k ak = 2k + 1 In this problem you must attempt to use the Root Test to ...

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Q: How many different passwords are there that contain only digits and lower-case letters and satisfy t...

A: Given, no. of digtis = 10 (0 to 9) no. of letters = 26 (a to z) Total = 36 (iii) Password must con...

Q: Estimate the intervals where the graph is behaving as follows. Use interval notation. (a) Increasing...

A: We have given graph of a function. (a)Interval in which increasing and concave down is-∞,-1.

Q: Evaluate the integral below using summation formulas and sum rules. 3 (x2 – 2x)dx

A: Given integral is ∫23(x2-2x)dx We know that, ∫(f(x)-g(x)) dx=∫f(x) dx -∫g(x) dx Using ...

Q: Express the length I of a chord of a circle of radius 8 as a function of its distance x from the cen...

A: To Determine: express the length l of a chord of a circle of radius 8 as a function of its distance ...

Q: Assume b + 0 and compute -4 tan- (bx + c) dx . Your answer should be in terms of b and c. -4 tan- (b...

A: Given: ∫-4tan-1bx+cdx

Q: An open-top box is to be made from a 40 in. by 27 in. piece of cardboard by removing a square from e...

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Q: Solve the initial-value problem. 5y" + 9y' + 4у %3D 0 У(0) y(0) = 7 y'(0) = -6 y(x) =

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Q: 3. A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 in, a rise...

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Q: Test the series for convergence or divergence. − 2/3 + 4/4 − 6/5 + 8/6 − 10/7 +...

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Q: Last expert was wrong

A: Given data, Initial due(P0) = $70,000 Time since due (t) = 6 years Interest rate (r) = 4% = 0.04 Co...

Q: Please help me with this question. Thank you!

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Q: y = x + 2 xy = 3 The solutions of the system are: Y1 = and X2 = » Y2 = with x1 < x2. Check Answer

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