Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value equal to and an absolute maximum value equal to

Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

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Q: Question 3 Find the value of the derivative (if it exists) of f(x) = (x-2) 4/5 at the indicated…

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Q: 2. Find polar coordinates a. (3-√3.3) b. (0, -2)

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Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

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Q: find a reduction formula for the integral|x" cos x dx.

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Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: JS₂² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

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Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

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Q: A ball is dropped from the top of a lighthouse that is 145 feet above sea level. The height…

A: Given height function s( t ) = -16t2 + 145

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Q: a = (0, 1, 2), 128. c= (1, 0, 1) - b = (-1,

A: Given: a=0,1,2b=-1,0,1c=1,0,-1

Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: G(x) = − 1x². +3 H (x) = − 1x² – 7 M (x) = − 1x² + 1/

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Q: you have 2 . DU also can you do explain the integration by part showing what you are integrating

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Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

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Q: Let f(x) = x³ – 5x² + 2x - 5. Find the open intervals on which f is concave up (down). Then…

A: The solution is shown below-

Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list a² + b²…

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Q: Differentiate the function with respe z' = Z A .6 yo + Bey

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Q: If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane,…

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Q: Find equations of the tangent lines to the curve y = at the point (1, 0) int (e, ²) at the point y =…

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Q: Use a power series to approximate the value of the integral with an error of less than 0.0001.…

A: The solution is shown below- As per company guidelines only one question is allowed to answer.…

Q: 2. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. ∞…

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Q: Complete the parametric equations of the line through the points (-6,-1,6) and (-2,-7,-4) x(t) = − 6…

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

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A: We have to simplify and write in x according to the given information.

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A: Given: g(x) = x+3x2-9 The function does not exist when their denominator is zero. That is,…

Q: 1/9 A disease has hit a city. The percentage of the population infected t days after the disease…

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Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

Q: If n(A) = 2, n(B) = 5, and n(A U B) = 7, find n(A n B). Need Help? Read It

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Q: Find f(g(x)) for f(x): = Of(g(x)): 6x² 18 Of(g(x)) = 17x² + 1 O f(g(x)) O f(g(x)) O f(g(x)) = 6 17 +…

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Q: 3 x-Vinc dx =

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Q: 26. Distinguish between average and instantaneous rate of change, use an answer. appropriate example…

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Q: In a certain city, the temperature (in degrees Fahrenheit) t hours after 9 a.m. was modeled by the…

A: Given:- Tt=50+14sinπt12

Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 5x sin(xy)…

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Find two unit vectors u such that Duf(1, 1) Here, f(x, y) = x² +9y². NOTE: you must enter your FIRST…

A: To solve the following problem

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

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Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: 2. Find the derivatives of each of the following functions. You do not need to simplify your answer.…

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