Given: (x is number of items) Demand function: d(x) = 921.6 - 0.6x² Supply function: s(x) = 0.3x²

Q: A liquid is heated so that its temperature is x°C after 1 seconds. It is given that the rate of…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts. Let's…

Q: Use shifts and scalings to graph the given function. Then check your work with a graphing utility.…

A: Topic- translation of a function   if g(x) is shifted by a units to right and b units down then new…

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

Q: Identify the inside function, u = g(x), and the outside function, y = f(u). y = (x2 – 5x + 7)2 u =…

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Q: . Evaluate the definite integral.   8 5x − 1 x2(x + 1)  dx 1     please show step by step .

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Q: Consider the graph of y = f(x). y 5- 4 3 2 1 1 2 3 4 5 6 7 8 9 Identify the intervals from the graph…

A: We have to identify the intervals from the graph where f′(x)>0.

Q: Find the absolute maximum value on (0, co) for f(x)=3-12x-- Select the correct choice below and, if…

A: To find the absolute maximum.

Q: The function f' defined by the formula ƒ(x + h) − ƒ(x) h f'(x) = lim h→0 is called the derivative of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: a. y = (x2 - x−1)2

A: Topic = Derivative

Q: 4. The function f(x)=x²-x² - 2x + 1 has three zeros on the real line. For each of these zeros, find…

A: We have to locate all 3 real roots of f(x) = x3-x2-2x+1 on the real axis. Given f(x) is continuous…

Q: N 1/2 + x ) d x Z

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)4+1 ANT…

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Q: Calculate how many liters (and gallons) of water arelost in 1 month by a toilet or faucet that leaks…

A: The faucet leaks 2 drops of water per second. one liter of water=3500 drops. 1 liters=0.265 gallons.

Q: Example 3: The formula for converting a temperature in degrees Celsius into degrees Fahrenheit is F…

A: given, x repersent the temperature in degree celsius

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: All the parts are solved below in detailed manner.

Q: Evaluate the curvature of r(t) at the point t = 4. r(t) = (3 - 5t, e³¹-12, 8t - t²) (Use symbolic…

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Q: A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing…

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 7000-5p² E(p)…

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Q: Calculate v XW = (u₁, U₂, U3). = (7,3,2) V = w = (-6,4, -3) (Give your answer using component form…

A: On solving this we will get

Q: Problems 6-7. Find all the real zeros of the polynomial. Use the quadratic formula if necessary. 6.…

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Q: Let f(x,y)=√√9-x²-3y² State the domain off and sketch it in the x-y plane. The domain must be…

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Q: Solve (x - 1)dx - (3x - 2y-5)dy = 0

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Q: could  show the solution of the    (Round your answer to three decimal places.).   and.  Find an…

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Q: 5x (ye³x + x³y +y) dy +(²2_y²e²= 3 x + ²/2/2 x²³y² + x²³)dx=0

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Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fxyz.

A: We need to find fxyz

Q: Find the average cost function if cost and revenue are given by C(x) = 151 +5.3x and R(x) = 4x…

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Q: Find all solutions to the equation cos(x) == in the interval [, 2]. 11л (A) only (B) only (C) only…

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Q: Consider the position function s(t)= -16t2 + 80t representing the position of an object moving…

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Q: Given the curve r(t) = 4t (4) i + (4 cos(t)) j find the acceleration vector at t = ㅠ 3

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Q: Suppose that lim f(x) = 3 and lim g(x)= -8. Find the following limits. x-b x-b a. lim (f(x) + g(x))…

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Q: function is given h(t) = 2t2 − t;   t = 3, t = 7 Determine the net change between the given values…

A: Given query is to find net change and average rate of change.

Q: Find the distance from the point (4, -3, 6) to the plane 3x-5y+z=17

A: Given : Equation of the plane is                    3x - 5y + z = 17 And the Point is = ( 4, -3, 6 )…

Q: ind an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

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Q: The solution of the differential equation y': || x 1 + 1 is:

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Q: K x²-1 Let f(x)= |x-1 (a) Make tables of the values of f at values of x that approach x= -1 from…

A: Please see the below picture for detailed solution.

Q: find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curve xy=4.

Q: Question 6 Suppose the region between the graph of y = The graphs intersect at a Doint(s)) x 7 and y…

A: The region between the graph of y=x-7 and y=14(x-7) is resolved around the x-axis  We have to find…

Q: F(x,y) = 5 x³ ty sin²x 4 2 x +y 0 if (x,y)=(0,0) " ‚ if (x,y)=(0,0)

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips (1.95.7.7) T7 6 4 2 t…

A: Concept: Rate of function =slope of the tangent at point (x2,y2) and (x1,y1)m=y2-y1x2-x1%rate of…

Q: Express the repeating decimal as a fraction. 0.747474...

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Q: Example 3: The formula for converting a temperature in degrees Celsius into degrees Fahrenheit is…

A: We need to solve function problem.

Q: Question 9 Interpret r(t) = (3 e' cos(t))i + (3 e sin(t))j + (3 e) k as the position of a moving…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: Determine the degree of the differential equati 3/2 2/3 (3x² ² 2 + 4xy) ¹ ² = (2y³d² - 4xy)" d²y dx²…

A: The given differential equation is; (3x2d2y/dx2 +4xy)3/2=(2y3d3y/dx3-4xy)2/3

Q: lim X→ +∞o (√9x² -5x+1 +3x

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Q: Can we use x = vy? (x - y In (y/x)) - (vy - y In(y/vy)) --> (vy - y In(1/v)) ,0 In(1/v) = - In v

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Q: 4. y= x+1 X

A: Note: Since the student has mentioned to solve only question no. (4), so we are solving accordingly…

Q: A certain company recently sold five-year $1200 bonds with an annual yield of 8.25%. After how much…

A: In this question, we need to find the time.

Q: (i) lim x cos x4 x-0 -2 X

A: The given limit limx→0x4cos-2x We have to find the given limit.

Q: x² tan-¹(2x) dx

A: