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Q: Given: (x is number of items) Demand function: d(x) = 360 - 0.5x² Supply function: s(x) = 0.4x² Find…

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Q: You cost out a New York steak dinner.  Your cost is $7.00 and you want to put this on the menu for a…

A: You cost out a New York steak dinner. Your cost is $7.00 and you want to put this on the menu for a…

Q: (a) Sketch the region enclosed by the parabolas y = 1² - 16 and y-16-r², then find its area.

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Q: 28. 2π 1 1/2 [²²₂(² sin²³0 +2²) 0 -1/2 (r² sin² 0 + z²) r dz dr də

A: To evaluate the following integral.

Q: 7. Find the parametrized equation for the intersection line of the planes 2x+y-z=1 and 4x - y = 3.

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Q: Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64…

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Q: An​ open-top cylindrical container is to have a volume 216 cm3. What dimensions​ (radius and​…

A: The objective of this question is to find the dimensions (radius and height) of an open-top…

Q: Ise Newton's method to obtain the third approximation, X₂, of the positive fourth ro pproximation of…

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Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = 1 2 2! +4…

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Q: A thermometer reading 7°C is brought into room with a constant temperature of 37°C. If the…

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Q: A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal size…

A: Given:A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal…

Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: If n is a prime number greater than 3, what is the remainder when n² is divided by 12?

A: The objective of this question is to find the remainder when the square of a prime number greater…

Q: 2. table. Speedometer readings for a motorcycle at 12-second intervals are given in the t (second) 0…

A: (a) To estimate the distance traveled by motorcycle during this time period using the velocities at…

Q: Graph the function: f(x)=(x-3)² 4-X if x4

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Q: Find the area of the triangle with the given vertices. (Hint:lux vll is the area of the triangle…

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Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: Degree = 5 2 is a zero of multiplicity 3−2 is the only other zeroleading coefficient is 3.

Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. -96 4-[-] A = - 15 9…

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Q: A stone is thrown from the top of the building. It's height (in feet) above the ground after t…

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Q: Current Attempt in Progress Given the figure and [ f(x)d(x) = 1.25, estimate: (a) f f(x) dx = (b) […

A: Given that.We will find the remaining values.

Q: Use Newton's method to estimate the two zeros of the function f(x)=x-x-2. Start with x= -1 for the…

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Q: A contractor drew up plans for an addition to a house. The new outside walls will be a total of 80…

A: A contractor drew up plans for an addition to a housse. The new outside walls will be a total of 80…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

Q: Select ALL matrix multiplications that are valid given the following matrices: A = 1 2 3 2 - 10 B*B…

A: This is question of algebra Here matrix is given We have to check it multiplication is valid or not…

Q: Use Newton's method to find an approximate solution of In (x) = 9-x. Start with x = 2 and find X2.…

A: Given ln x = 9 - xF(x) = 9 - x - ln(x)Now we can solve using Newtons method.

Q: Let f(x)=x√x+3. Answer the following questions. 1. Find the average slope of the function f on the…

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Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

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Q: (b) O Σ -1/2-²0 6 n=1 Sn Sn 10 4 n Sn 7.8749 2 4 5 n 6 X .... 6 8 7.8750 ... 8 10 10 10 X Sn Sn 3-…

A: Given series

Q: True or False: If a ‡ b and if ſå |ƒ(x)|dx = 0, then f(x) = 0. True O False

A: The given statement is If  and if  then

Q: 5 Evaluate f de using the Fundamental Theorem of Calculus, Part 2. Use exact answers only. Use…

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Q: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

A: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

Q: g(x) = * (4 + sin(t)) dt

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Q: Find the surface area of the portion of the plane z=6-3x-3y which lies in the 1st octant I)2sqrt18…

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Q: The function f(x) = x³ - 8x² + 4x + 58 is graphed below. Plot a line segment connecting the points…

A: The given function is

Q: Use the initial condition y(2) = 7 to determine the value of A that will satisfy the initial value…

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Q: The amount of charge passing through a surface, given by a function Q(t), is measured in coulombs C.…

A: Given:To Find: To amount of charge that passes through the surface after 10 seconds.

Q: (a) Find the initial population. (Round your answer to the nearest whole number.) X bacteria (b)…

A: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

Q: Given: (x is number of items) Demand function: d(x) = 532.4 -0.6x² Supply function: s(x) = 0.5x²…

A: we need to find equilibrium quantity between the two given equations

Q: A farmer has 2000 ft of fencing and plans to construct a rectangular pen. Find the dimensions of the…

A: Given data: The total length of fencing is 2000 ft.

Q: Graph this system of equations to find the area between the curve: 2y=4sqrtx y=3 2y+4x=8

A: To draw the graph of the following system of equations to find thearea between the curve.

Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

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Q: Function kf(x), f(x) + g(x) xn (n − 1) 1 X exc COS X General Antiderivative Function sin x sec² x…

A: Solution Antiderivatives are the opposite of derivatives means integration.

Q: Find the equation of the orthogonal of the set of the curves and solve the differential equation:…

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Q: Reverse the ร fit 4 O √5x sle should order dy be of integration 18 doc dy for

A: To reverse the order of the following integration.

Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity…

A: The objective of the question is to identify the inside function, u = g(x), and the outside…

Q: 16-t -t6 -dt t4 Integrate: /M + C

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Q: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account…

A: The objective of this question is to find the value of Lucy's mutual fund account today, after three…

Q: y = tan x S 2 1 1+t³ dt

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Q: Find all solutions of the equation cos(x) sin(x) — 2 cos(x) = 0. The answer is A + Bk where k is any…

A: We have given a trigonometric equation We have to find the values of A and B.

Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = x(t) = - 1 1 0 1 0…

A: A=