Show your work Write the repeating decimal 68.27171717171... first as a geometric series, then as a ratio of two integers.

Q: 5. The revenue generated by sales in the Vancouver and Quebec branches of the A-Plus auto parts…

A: Add all the amounts to get the revenue in Canadian dollars

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: Suppose that and y are both differentiable functions of t and are related by the equation y³ + x³ =…

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Q: Prove the statement using the , & definition of a limit. lim 9 + 3x = 3 Given e > 0, we need 6…

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Q: 7. What is the true cost per pound of a 10-pound box of oranges if the original price of the box was…

A: Given query is to find the cost per pound.

Q: Find dy: 5x³ =-3xy + 2 dx ****

A: To find the derivative

Q: (In z)³ dz N

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Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: An athlete puts a 16-lb shot at an angle of 60° to the horizontal from 6.5 ft above the ground at an…

A: Angle from the ground= 60° Initial speed = 42 feet/sec  Initial height = 6.5 feet

Q: A company produces very unusual CD's for which the variable cost is $18 per CD and the fixed costs…

A: I am attaching image so that you understand each and every step.

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: Find the derivative of the function. In(e8x + 3) y = In(e8x

A: Topic - Derivative of a function We are given y=ln(e8x+3)formulas usedchain…

Q: c) Has a vertical asymptotes at x = 2 and x = -3, a horizontal asymptote at y = 1, and x-intercepts…

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Q: How much work does it take to slide a crate 28 m along a loading dock by pulling on it with a 240-N…

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Q: -x Write the expression 4 in the form 2 for a suitable constant k. Determine k. Give your answer as…

A: The expression is given by 4-x To determine: The expression in the form 2kx. Formula Used: amn =…

Q: Find the sum of the following series: 1 1 Ü(23) k + 2 k + 3, k=1

A: We have to find the sum of the series  ∑k=1∞ 1k+2-1k+3.

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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Q: The following graph shows a rough approximation of historical and projected median home prices for a…

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Q: 5. 2 cars start moving from the same point. One car travels south at 60mph and the other car travels…

A: Topic - Application of derivatives We are given Speed of car travelling south=60mph speed of car…

Q: Many fish grow in a way that is described by the von Bertalanffy growth equation. For a fish that…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

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Q: 5 8 (OT-7) dt ||

A: SOLUTION-

Q: D is a region in the 2nd quadrant that is inside a circle with equation x² + y² = 16 and outside the…

A: The given region is bounded by the equations x2+y2=16 and x2+y-22=4 in second quadrant as shown…

Q: Evaluate the limits. If they do not exist, then determine whether they are ∞ or -∞ or neither. x²+2…

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Q: A. Find the slope of the tangent line to the parametric curve x=t/2, y = t2 + 1 at t = -1 and at t =…

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Q: The cost of manufacturing x badminton rackets per day is given by the function C(x) = 550 + 6x +…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is  and the…

Q: 6. Find the centroid of the region enclosed by y = -√√9-1² and the z-axis.

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Q: Use the Integral Test to determine whether the infinite series is convergent. ∞ μ 1 n=4 2 nz + 16

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Q: I don't understand at the beginning where it says c. f. = u1*(68x) +u2*sinx or does it mean c.f. =…

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Q: An Alberta-based NHL team is struggling to fill its seats. When the average ticket price is $350,…

A: NOTE: Refresh your page if you can't see any equations. . x=ticket price y=number of tickets from…

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A: We have given function  fx=xx-6 To get x-intercept put f(x) =0 xx-6=0 x=0 or  x-6=0 x=0 or x=6 x=0,6…

Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: researcher at a coat manufacturer finds that the marginal cost at a production level of 400 coats is…

A: Given query is to find the correct interpretation of the statment.

Q: Foluso needs to construct a cylinder from a single sheet of metal with a perimeter of 678 mm.…

A: single sheet of metal with a perimeter of 678 mm

Q: Find the transition points. y = 10x³ + 240x² (Use symbolic notation and fractions where needed. Give…

A: To find the transition points.y=10x3+240x2

Q: (1) WIN √√4-9x² dx,

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Q: onsider the following. y=e-x² ind y'. ind the slope m of the tangent line to the graph of y = e-x²…

A: Given query is to find the equation of the tangent line.

Q: M8 n=1 1.3... (2n-1) 6 n.n

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Q: Σan where an n=3 (1 + 4)*. n =

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Q: Find the length of the curve. y = 4(x − 1)², 1≤x≤4

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Q: 1.(i)Find the length of the curve. 1 y= + ;1≤x≤2 16 2x²

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Q: (1) (1 + √√3i) Place all answers in the following blank, separated by commas: 2^(-2/3) (sqrt(3) + i)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

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Q: Question Consider a cost function of the form Select the correct answer below: O MC = C'(x) Which of…

A: Solution is given below:

Q: The graph of function f(x) is shown below. At which value of is the derivative of the function equal…

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Q: n the graph of f(x) below, what is the open interval(s) over which f'(x) is positive? -6-5-4-3-2-1 1…

A: Given query is to find the interval where f'(x) is positive.

Q: What

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Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose that and y are related by the equation-y²=2. Where y is a function of x. Use implicit…

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Q: 3. The radius of a circular oil slick expands at a rate of 2 m/min. a. How fast is the area of the…

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