√√3 9. ² 2 0 4x² (1-x²)z dx

Q: The graph of y = f(x) is shown. -5 4 -3 -2 -1 Determine the sign of the following limits, if they…

A: A graph of the function is given, we have to find the behavior of the given limits.

Q: (b) x = y³ Make a table of values, and sketch the graph of the equation. y O -5 5 y-intercept (x, y)…

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Q: QUESTION 6 Use any method to evaluate the integral. 6 cm³ x dx tan x S O-2 csc4 x+C csc4 x cotx + C…

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

Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=x²+36 x= (Simplify your…

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Q: A farmer wants to build a rectangular pen and then divide it with two interior fences. The total…

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Q: Minimizing Construction Costs The management of the UNICO department store has decided to enclose an…

A: let  x= length of steel fence        y= length of one side of pine boards   given:  xy=842 y=842x…

Q: Determine the volume of the solid whose base is the region R in the xy -plane that is bounded by the…

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Q: 1. Given f(x) x+3 (a) Find f'(x) by the definition of derivative. (b) Write an equation for the…

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Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

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Q: hoice as needed.

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Suppose that f(x, y) = y√ x³ + 1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 2}. Then the double…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given query is to find rate of change of volume.

Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 8 y =…

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Q: sinh(4ln(4x))

A: Given query is to simplify the expression.

Q: Suppose that ƒ(x, y) = 4x + 4y on the domain D = {(x, y) | 1 ≤ x ≤ 2,x² ≤ y ≤ 4}. D a Then the…

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Q: cx+4 if x 2 d if x=2 Find values of c, d that make f(x) continuos at x = 2. C and d =

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Q: 1 x(x²+4)² S— dx

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Q: Can you prove this statement using properties of logarithms? 4log_(5)3=log_(5)4^(3)

A: We need to prove that,4log53=log543

Q: (b) Explain the shape of the graph by computing the limit as x → 0+ or as x → 00. lim f(x) x → 0+…

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Q: A student drops a pen from a classroom window on the fifth floor of the mathematics building. If the…

A: A student drops a pen from a classroom window on the fifth floor of the  mathematics building. If…

Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: A Determine the sign of the following limits. (You may assume the limits exist) lim f(x)g(x) is x5

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Q: Find the horizontal and vertical intercepts for + s² - rs = 16, if the r-axis is the horizontal axis…

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Q: Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in…

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Q: K Find 2 dx d²y dx y= = 10√x

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Q: Assume that f(x) is a function whose derivative if f′(x) = x^2 + 3x + 2. (a) Find the critical…

A: Application of derivative

Q: A lighthouse stands 500 m off a straight shore and the focused beam of its light revolves four times…

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Q: Determine whether the improper integral given below converges or diverges, and clearly state your…

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Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

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Q: Solve equation (10) from Section 7.4 + ["i(t) dr = E(t) (10) L+Ri(t) + dt subject to i(0) = 0 with…

A: The given differential equation is: Ldidt+Ri(t)+1C∫0t i(τ) dτ=E(t)

Q: Find all critical points and then use the first-derivative test to determine local maxima and…

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Q: The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use linear…

A: Solution: C = 2πr & SA = 4πr2 = C2/π. i.e. surface area as a function of the circumference is…

Q: 1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p =…

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Q: Find the complex zeros of the quadratic function. Graph the function and label the intercepts.…

A: Given equation:- fx=x2-12x+52

Q: The manager of a 141-unit apartment complex finds that all units are rented at a price of $2025 per…

A: We have to find the revenue and number of units.

Q: Magnitude: A = 10 A Direction: 060° A = (x, y). Round your answer to the nearest hundredth X= type…

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Q: A trough full of oil of specific weight w lb/ft3, has a length of 10 ft and ends in the form of a…

A: Specific Weight = w lbft3Length of trough = 10 ft,Width = 8ft,Height = 5 ft

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy-3y², Po(-9,-7),…

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Q: The linear approximation at x = 0 to sin(8x) is A + Bx where A is:

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Q: The figure below is a graph of the derivative f'. For what values of x does f have a local maximum?…

A: see below the answer and explanation

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: Given : r(t)=5t2,4t2   To Find : 1) Velocity 2) Acceleration

Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative…

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Q: -6 -5 -4 -3 -2 -1 Find the following limits. f(x) lim 2-17 g(x) = 6+ 5 3 2 -1 -2 -3- ينا -4 -5 -6+ "…

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Q: Sketch the given region of integration R and evaluate the integral over R using polar coordinates. 1…

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Q: Free Response 11 The function is defined by the power series f(x) = 1 + (x+1)+ (x + 1)² ++ (x + 1)²…

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Q: Find the volume of the solid obtained by rotation the region bounded by y=√(x), x=0, x=4, y=0 about…

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Q: 1. A cone is constructed by cutting a sector from a circular sheet of metal with radius 20 cm. The…

A: A cone is constructed by cutting a sector from a circular sheet of metal  with radius 20 cm. The cut…

Q: 1. Draw and set up the integrals for the area in the 1st quadrant enclosed by x = 4y² and x = y¹/2.…

A: I have solved step by step in detail...go through the solution