f(x) = 3x¹/3(x³ - 9).

Q: f(x, y) = 9 — x² y4

A: To use the second derivative test, we need to find the critical points of the function first. To do…

Q: is the K sẻ xdx or following correct R = tanp-tan Ø Ø tan x incorrect Why

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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Q: Suppose you fanction for f (x) > 0 fa has Sketch 6 each fil arc given these conditions on (-0,2) om…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 6x², y = x² + 2 The…

A: Given that y=6x2 and y=x2+2. And we find the centroid.

Q: Maximum and minimum value 2) at Find the critical numbers F(x) = x ³ (4-X) OF bi Find the absolute…

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Q: 3n²+2n-1 4) Determine if the series converges: 1 2n²³-3n²+4+5 [=1

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Q: in (m) find the distance traveled. during interval 2 V (t) = + ² + 2 +-15 the given time 0<+≤5 m/s

A: Vt=t2+2t-15 m/s ,0≤t≤5 Graph

Q: Write the component form of the vector shown on the graph below. O O O O Submit Answer

A:

Q: The fifth and 50th terms of an arithmetic sequence are 5 and 23, respectively. Find the sum of the…

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Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: Find the value of the constant a such that the function f(x) is continuous for all values of x. 4…

A: fx=ax+4xx&lt;2ax2x≥2

Q: A man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

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Q: The sum can be written as a single integral in the form Determine a and b. a = 5 [ ² f(x) dx + √₂²…

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Q: At a certain location a river is 12 meters wide. At this location the depth of the river, in meters,…

A: we need to apply the Simpson's rule to approximate the cross sectional area.

Q: Write the vector shown on the graph below as a linear combination of standard unit vectors i and j.…

A: Graph

Q: 34) If 4X = 3,what does 4-2x equal? A) 금 B) 9 C) -9

A: 34) The equation is 4x = 3 To determine: The value of 4-2x.

Q: 0. Practice similar fxx (x, y) fxy (x, y) = Calculate all four second-order partial derivatives of…

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Q: Given that f"(x) = cos(x), ƒ'(π/2) = 7 and f(π/2) = 11 find: ƒ'(x) = f(x) = =

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Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e, where…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate is given by and the given…

Q: Divide the complex numbers below and leave the result in trigonometric 7(cos 150° +i sin 150°) 9(cos…

A:

Q: 7) Let u = (2, -4, 1) and = (-4, 3, 5). Find 0, the angle between u and 7.

A: The vectors are given by u→ = 2, -4, 1v→ = -4, 3, 5 To determine: The angle between the vectors.…

Q: Write the vector below in trigonometric form. f =< -√√6, -3v

A: f=&lt;-√6,-3√2&gt; Trigonometric form = ||m||&lt;cosθ,sinθ&gt; m=(vx2+vy2)tanθ=vyvx

Q: Determine of the following series { (-1)" n=1 the convergance и 2n+1 or divergence of each

A: We need to determine whether series converges or diverges.

Q: Determine convergence or divergence of the series. n=1 In n 4n-5 O Converges O Diverges W

A: The given series is:∑n=1∞ln n4n-5n

Q: ntervals on and concave down and identify the x-value corresponding to any points of inflection. "

A:

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

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Q: Find the first term In a geometric sequence in which the common ratio is 5/4 and the tenth term is…

A: The general formula for nth term of a geometric sequence is given by tn=arn-1  Where, a is the first…

Q: Find the component form of vif ||v|| = 2 and the angle it makes with the x-axis is 60°.

A: Given that, Magnitude of v is :  ||v|| =2 and angle with the positive x-axis is θ= 60°. Suppose, the…

Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

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Q: S x³ +1 x² + 1 - da

A:

Q: 21. f(x) = ln (5 - x)

A: 11-u = ∑n=0∞ un = 1+u+u2+u3 +...

Q: Determine whether the given point (x,y) is on the unit circle. Nin Ο No OYes QUESTION 20 Use the…

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Q: 2. A mother holds a baby's stroller stationary on a hill with a 20° incline. The stroller and baby…

A: 2) Magnitude of the parallel component = Weight × cosangle of incline…

Q: Given a = 6, b = 10, and c = 5, use the Law of Cosines to solve the triangle for the value of B.…

A: The sides of a triangles are a=6, b=10 and c=5.To find : Use the Law of Cosines to solve…

Q: Multiply the complex numbers below and leave the result in trigonometric form. [7 (cos+ i sin )] [10…

A: Let's consider a complex number  as defined below: By Euler's identity z=r…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: a. Show that the function is a solution of the differential equation b. Show that f(x) = e. f(x) =…

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Q: 19. 6 9 ML √y dy dx 2 2 x

A: Here we have given an double intergral: ∫16∫29yx2dydx.   How to change the order of integral? To…

Q: = x², y = x² −2x+2 7. Let a, b be fixed real numbers. Let P₁, P2 be parabolas with equations y =…

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

Q: 3. f(x, y) = x² + 4xy + y²

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Q: Consider the solid of revolution given by revolving the area bounded by y = 15. x² + 1 and y =…

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Q: : + 8)³ + (x + 8)−¹ for 1 ≤ x ≤ 2. Find the arc length of y = 1/2(x + (Give your answer to three…

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

Q: Find the following for p =, q =, and r =. Find -2p - r

A: Given that,    p = -7, -6  q= -1, -11, r= 0,9 we have to find the value of -2p-r.

Q: if f(x) = 19 9² (4) = 3 Where find f'(14) √x g(x), 9(4) = 2 and

A: if fx=xgx

Q: You know that: ■ ■ ₁9(t) dt = 15 g(7) = g(9) = 5 Evaluate: +9 юст g'(x) √√25-(g(x))² Upload your…

A: Given:  ∫79gt dt=15g7=-52g9=5 To Find: To evaluate the integral ∫79g'x25-gx2 dx.

Q: 2. Compute the following limits x²-x-2 x 2 x²+x-6 (a) lim (b) lim xxx² (c) lim x² - 2x + 1 x-3

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Q: Estimate the error that is made by approximating the sum of the given series by the sum of the first…

A: ∑k=1∞1k4

Q: 207. Enclosed by the inner loop of r = 3 + 6 cos 0

A: