Determine where the function is concave upward and where it is concave downward. Enter the answer using interval notation. f(x)= (x+9)/(x-9)

Q: 1. An aeroplane has 180 passenger seats. Sadly, 40 of these seats have faulty entertainment systems,…

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Q: Convert the integral to polar coordinates and evaluate. √4-y² -√4-y² 2 ST (x² + y²)² dx dy

A: The given double integral is: ∫02∫-4-y24-y2 x2+y22 dx dy

Q: 27) The value of a 2003 Toyota Corolla is given by the function v(t) = 14000(0.93') where t is the…

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Q: 2²-4 lim 2-2 x + 2

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Q: Find the derivative of the function. 9 +8√x h'(x) = h(x) 5

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Q: Find an equation of the plane. The plane through the point (8, -7, -9) and parallel to the plane 4x…

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Q: K- Solve the problem. The function defined by P(x)-1007 approximates the atmospheric -0.0001261x…

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Q: Evaluate the definite integral 4 3π 4 3 cot csc²0 de 8

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Q: Find an equation of the tangent line to the curve 2(x² + y²)² = 25(x² - y²) (a lemniscate) at the…

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Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time.…

A: Given that , Side of the cube x=2 in Rate of change dxdt=0.4 in/s Find dVdt=?

Q: Plot the point with the given polar coordinates. (4, -12) O O O O Sm - 7x 6 7x 6 5m 7x 6 22 7x 6 53…

A: The given coordinate is r,θ=4,-1112π That means at radius 4 we need to plot the angle which is in…

Q: Find the critical numbers of f(x) = x4(x-1)3 A. What does the second derivative test tell you about…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: The inverse of the following set of ordered pairs is a function. {(0, 0), (1, 1), (4, 2), (9, 3),…

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Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: One of the following statements is true. Select the true statement. Olf f" (a) 0 for x = (3,6),…

A: Use the concept of increasing, decreasing, concave up and concave down of a given function.

Q: lim X →∞ -2 3x+7

A: The given limit is limx→∞-23x+7. We have to find the given limit.

Q: Differentiate with respect to x: 3x4 x³y + 4y³ = 6 Select one: the following implicit equation for…

A: implicit derivative of y(x) for 3x4-x3y+4y3=6

Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

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Q: The plane containing the point (2,-3,1) and parallel to the plane 4x + 8y - 4z = 3 has equation…

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Q: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) =…

A: Thoroughbred Bus Company finds that its monthly costs for one particular year were given by C(t) =…

Q: For what values of the numbers a and b does the function f(x) = axe have the maximum value f(5) = 6.…

A: The given function is;  f(x)=axebx^2, f(5)=6.

Q: The answer is not correct

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Q: y = ln (x+3)

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Q: These are examples of multiple choice questions. Depending on the number of choices, you might be…

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Q: cos³ ti+ sin³ tj +0 k, 0≤ t ≤/2 (Hypocycloid example 2 of 11.8) 3

A: we will find the required arc length.

Q: Find parametric equations for the curve with the given properties. The line with slope -2, passing…

A: Given query is to find parametric equation.

Q: For the quadratic function f(x) = 2x² - 2x-3, answer parts (a) through (c). Verify the results using…

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Q: The quantity, q, of a certain skateboard sold depends on the selling price, p, in dollars, so we…

A: The function f(150) = 23000 tells us that if the selling price of the skateboard is $150, then the…

Q: f. y = 5e*

A: Given query is to find the derivative. We

Q: Is the cotangent function odd, even, or neither odd nor even

A: Given Is the cotangent function odd, even, or neither odd nor even?

Q: Given f(x)=√2-x.where x ≤ 2, and g(x)= x2 + 1, find (gof)(x). O X-3 O√3-x³ O √1-x¹ O 3-x

A: Given function:- fx=2-x and gx=x2+1

Q: Find the absolute maximum value of 2 y = on the interval [0, 2]. ²-3x+2 1. max value 2. max value 3.…

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Q: Find the inverse function of f(x) = 3 − 4x3

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Q: Use the limit comparison test to determine whether an lim n→∞ bn lim n-x J n=2 n=2 an = n=2 1 (a)…

A: Given that ∑n=19∞8n+22n5+2n2+5Use limit comparison test

Q: 1) Find the linearization L(x) of f (x) = approximate f(0.1). In(1+x) at a = 0. Use this…

A: Given : f(x)=ln(1+x)   To Find : Linearization at a=0

Q: A tank contains 1120 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the…

A: Form the differential equation and solve to get the amount of sugar at any time in the tank.

Q: Find dy by implicit differentiation. dx 5x² + y² = 25 dy dx =

A: Given equation 5x2 + y2 = 25

Q: Determine the recursive definition for the function f(n) = n + 2", where n ≥ 0.

A: Determine the recursive definition for the function f(n) = n + 2 , where n≥ 0.

Q: £{t sinh(4t)}

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Q: Use differentiation and/or integration to express the following function as a power series (centered…

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Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 4x² + 5 f(x + 2) = f(x)…

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Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³ - 3x² + 3 Find f"(-2) and…

A: We will use simple differentiation to solve it.

Q: The following set of ordered pairs is a function and is one-to-one. {(1, 1), (1, -1), (2, 2), (2,…

A: Please see the below answer.

Q: 12) y = ex²/2 solves y' = xy

A: if given function is solution of differential equation than it will satisfied it d dx(ex)=exd…

Q: 21. fifi = = dy dx Sixty

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Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

A: First part     Second part

Q: Use the following graph of f'(x) to find the following: A. On what intervals is f increasing and…

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Q: Let Sn = Σa; be the nth partial sum of the series Σ an. Suppose that Sn is given by Sn = 5- 2 i=1…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: For f(x)= x + 1 and g(x) = 2x²-x-3, find (g- ^)(x). O 2x²-2x-2 O 2x²2-2x-4 O 2x2² 42x+4 O -22²-2

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