Find the domain of the function g(x) = x³ + 11x - 2 X - 3|- |x+1|

Q: The gradient of f(x, y) = xy at (x, y) = (2, 1) is

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Q: Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What…

A: Given derivative of a  function as

Q: 10 Find the absolute min and max values fo interval [-3,5]

A: Explanation of the answer is as follows

Q: •11₁² S is the part of the paraboloid z = 11 - x² - y² that lies above the plane z = 7, oriented…

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Q: Calculate the following limits: a) lim (x²-5x+7) b) lim (-x² +7x+5) X→ +∞ x+∞ Answer: a) = b) = c) =…

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Q: The graph below shows the profit P from the daily production of x thousand kilograms of an…

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Q: Let f be a function such that lim_ f(¹+h)-f(1) h h→0 Which of the followings must be true? (select…

A: Given that  Is a function such that,

Q: Find the derivative for the function Select one: 2 Ob. OC -2 Od. 1 e. 7 9 x²-2 x when x = 3

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Q: 6 A particle is moving (in feet/second or ft/s) according to a function f(t). Find the following if…

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Q: 39. A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the…

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Q: Studies have shown that the number of accidents a driver has varies with the age of the driver, and…

A: Studies have shown that the number of accidents a driver has varies withthe age of the driver, and…

Q: 11 If f(1) = 10 and f'(x) > 2 for 1 < x <4 how small can f(4) possibly be? (Show your work)

A: If  and , then to determine the smallest possible value of .

Q: 8 Two people start moving from the same point. One travels south at 6 miles/hour and the other…

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Q: Solve the following initial value problem over the interval from t = 0 to where y (0) = 1. dy dt…

A: Solution is given below.

Q: The First Gate Having crossed the room, you find yourself at another gate with a required passcode.…

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Q: The management of National Electric has determined that the daily marginal cost function associated…

A: C'(x)=0.00003x²-0.03x+22

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: given:

Q: Find the first partial derivatives of the function. fy || = f(x, y) = 6y

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Q: A train is traveling 50 km per hour along a straight track, moving in the direction as shown in the…

A: Speed of train using Pythagoras theorem From the given figuredifferentiatinggiven that the distance

Q: Fill in the blanks for both missing numerators and denominators to set up partial fraction…

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Q: Find a Cartesian equation for the polar curve r² sin 20 = 1 and graph the curve

A: The given polar equation is

Q: Let A(x) = fi f(t) d t where f is the function given by the graph below. -1 41 3 2 1 -1 -2 -3 -4 P 0…

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Q: Answer D, E, and F

A: Speed is the positive value of velocity as speed has no direction.The Velocity function is given by…

Q: Fill in the blank with the correct choice. Suppose f(x) is decreasing over the interval [7, 13], and…

A: If a function f(x) decreases over an interval [a,b], which means..

Q: Shonte graphs the parabola (y + 2)2 = -12 (x − 5). How does she proceed? Drag a value, coordinates,…

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Q: (ex + lny + ²) dx + ( + lnx + siny) dy = 0

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Q: How do you graph the ellipse? (2+2)² + 16 (3+8)² = 1 81 Drag choices into the boxes to correctly…

A: As per our guidline we are supposed to answer only one question, please repost the other question as…

Q: Let D be a parallelogram with vertices (0,0), (,1), (2.2), (2,3) Find a linear transformation…

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Q: Find a parametric representation for the surface. the part of the ellipsoid  x2 + 7y2 + 5z2 = 1 that…

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Q: Evaluate the indefinite integral as an infinite series. | arctan(x6) dx 1) + C Σ( n = 0

A: ∫arctan(x)dx=

Q: Consider the curve with parametric equations X = t³ t² + 1 = Y What is the general equation for the…

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Q: Find the center of mass of the following plane region with variable density. Describe the…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: R(x)=10,000-x3+800x

Q: Find the limit of the sequence an (cos n) 2"

A: The absolute value of the cosine is is not greater than 1

Q: Find V. (F x G), if F(x, y, z) = 16xi +j+8yk and G(x, y, z) = xi + yj - zk.

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Q: 2x²-4 lim x→√√2 x-√2 Select one: 0 1 4 O 2√4 0 4√2

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Q: Find the vector that has the same direction as but has length 2.

A: Given:We are required to find:

Q: Find the volume of the solid whose base is the semicircle y = √1 - x² where −1 ≤ x ≤ 1, and the…

A: To find:-

Q: I am having problems solving this, how do we find an equation of the plane tangent to the graph of…

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Q: D(x) = 900-5x is the price, in dollars per unit, that consumers are willing to pay for x units of an…

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Q: Consider the matrix: 1 11 -5 2 1 4 7 17 -13 Select the correct row operation to change the matrix…

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Q: Use the given graph to find the largest value of 8 >0 such that for all x, f(x) - L<e whenever…

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Q: Use the 2nd degree Taylor polynomial of f(x) = x²³/³ about 8 to approximate 5/3 (43) 53 Express your…

A: We have to use the 2nd degree Taylor polynomial of  about  to approximate .

Q: Use L'Hopital's Rule to evaluate the following limit. 3x³-4x² 11³ +2x limx→

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Q: Select the correct choice to fill in the blank. The slope of the tangent line indicates the rate of…

A: Tangent line is the line which passes touching a point on the curve of the function.

Q: 1 The line / is tangent to the curve y=1-- , where x0, at the point where x = a. Show that the…

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-33x² +168x on…

A: Given:  on To Find: (a) To find the absolute extreme values of f on the given interval when they…

Q: The displacement of a missile at a time t is given by the function: x(t)= 2 t² + 1 t + 4 5 + t…

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Q: Find the global maximum and global minimum of the function f(x) = x²e³ on the ellipse x² + 2y² ≤ 6.…

A: The given function Let