Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) on on [2, 4] maximum minimum f(x) = 3x -

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A: to determine how fast is the radius growing when the radius is: (A) 1 cm (B) 10 cm (C) 100 cm

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Q: 1. Suppose f is a function satisfying the following conditions: lim f(x)→ ∞, lim f(x)→-∞, lim f(x) =…

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Q: 2 lim_x(x²) +0+x

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Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(3,1); u= NOTE: Enter the exact answer. Duf = S i+ j

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Q: (i) the interval(s) on which the function f is strictly increasing or strictly decreasing.

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Q: If a rock is dropped from a height of 215 ft, its poistion t seconds after it is dropped until it…

A: Given :st=-16t2+215

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A: (a) Given that, the series                ∑n=1∞ln nn3 = ∑n=1∞an  say Therefore,                 an =…

Q: A function f (x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

A: Points (15,24), (18,37) and (22,25)

Q: 3. Sketch a graph of a continuous function f(x) with the following properties: o f(x) is increasing…

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Q: Use the remainder theorem and synthetic division to find the value of f(x) where xis -3. f(x) = x^²…

A: f(x) =x4 + 5x3 - 10x2 -20

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Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 (1-2x)6 dx…

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Q: If an object moves in a straight line with position function s = f(t), then the average velocity…

A: Given that if an object moves with position function s=f(t) between t=aand t=b, the average velocity…

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Q: Which integral would represent the area shown? 8 6 4- 2- 0 Y 0.5 1 15 2 2.5 3 X

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Q: 5. Find the area of the surface for the portion of the paraboloid z = octant. 49-x²-y in the first

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Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: Find the general indefinite integral. (Use C for the constant of integration.) √(x1.3 + 11x4.5) dx

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

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Q: Suppose that in the interval 7 ≤ x ≤ 19 you know that f'(x) is positive and f(x) is negative. Select…

A: Suppose that in the interval  7≤x≤19  you know that f'(x) is positive and f''(x) is negative.

Q: O Evaluate B) 510956

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Q: What is the remainder when x2 + 6 x + 10 is divided by x + 2? O -8 O 16 O O 8 02

A: x2 + 6x + 10 and x+2 Find the remainder when x2 + 6x + 10 is devide by x+2.

Q: 3) Consider Riemann sums -1 f(x) Ax to estimate the area under the curve y = 3x² + 2x over the…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [(9x (9x - 8)…

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Q: Determine the radius of convergence and interval of convergence of each power series. Ση!(2x − 1)"…

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Q: g(t) = t t - 1 on [3, 5]

A: First find critical points by g'( t ) = 0 Given function g( t ) = tt - 1

Q: Let v = 2i − 7j + 4k and w = −5i + 4j+ 1k be two vectors in R³. (1) Find the dot product V. W = (2)…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: a. Solve the system u = 3x + 4y, v=x+4y for x and y in terms of u and v. Then find the value of the…

A: u=3x+4y,v=x+4y

Q: Which integral would represent the area shown? 14 12+ 10+ 8+ 6- 4 2 LY 0 0.5 1 1.5 2 2.5 3 X

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Q: Convert the point (x, y, z) = (2, -3, -5) to cylindrical coordinates. Round answers to at least 4…

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Q: Evaluate the iterated integral by converting to polar coord 9/√81-x² LIVE e-x² - y² dy dx

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Q: Use the Remainder Theorem and synthetic division to find the value of f(x) where x is 5. f(x) = x³ -…

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Q: The function f(x) = 3+2x+32x¹ has one local minimum and one local maximum. This function has a local…

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Q: Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated…

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

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Q: Consider the following descriptions of the vertical motion of an object subject only to the…

A: it is given that,  the gravity of the earth is g=-9.8 m/s2

Q: Evaluate the integral using the following values. fx d [₁²x³² f³x dx x3 dx = 580, x dx = 20, [² dx =…

A: NOTE: Refresh your page if you can't see any equations. . it is given that use the integral rule

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 12 Figure 1 A…

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Q: 3. Find the x-intercept, y-intercept and z-intercept of the plane: [x, y, z) = [5, 4, 3] + s[1, 0,…

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Q: Let T be the tetrahedron with vertices (3, 0, 0), (0,5, 0), (0, 0, 3) and the origin. Write 1. f(x,…

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Q: Find the area of the region enclosed by the graphs of y = 3 sin(x) and y= 5πT 2 cos(x) from x = : 0…

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Q: Find functions f and g so that h(x) = (fog)(x) given that √√x³+1 x³ + 1 h(x) =

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Q: The marginal revenue function has × measured in years and MR(x) in hundreds of dollars per year. Use…

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Q: n △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD¯¯¯¯¯? Enter your answer, rounded to the…

A: according to bartleby guide line we do only first part of multiple questions. (1)  given  in ∆CDE,…