Problem Number 9 Use the second derivative to determine any point(s) of inflection for the following function f(x) = 3x³ - 20x³.

Q: Use p(x) = 8x to answer the questions. k SK P p(x) dx. Assume k > 1. Use a lower case k in your…

A: p(x)=8xformula of integration is∫xndx=xn+1n+1+c

Q: If 4,800 cm² of material is available to make a box with a square base and an open top, find the…

A: You have already solved the equation 4800 = b2 +4hb

Q: A curve is defined by the parametric equations below. cos(u) ['s U Find the length of the arc of the…

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Q: 3π " 2 expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0,…

A: The given spherical coordinate system is:ρ, θ, ϕ=5, 3π2, π

Q: 5. In regular octagon ABCDEFGH, prove the following: Prove that: AE + DH+ DG + AF = 4AH + EF + HG…

A: we have given regular octagon ABCDEFGH,   Prove that: AE→ + DH→+ DG→ + AF→ = 4AH→+EF→+HG→

Q: The graph of f" is given in the figure below. Draw graphs of f and f', assuming both go through the…

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Q: 6. Evaluate the iterated integral ² ²³ ³² (2x − y) dx dy dz 6 15 16 A. B. C. D. E. 3 32 5 16 15 16 3

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Q: A ball of radius 10 has a round hole of radius 9 drilled through its center. Find the volume of the…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: Given

Q: Estimate ³√26 by using a linear approximation x=27 of f(x)=³√x about the value

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Q: The graph of y=f(x) is shown. Find the indicated limit if it exists. Please write the solution in a…

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Q: 1 •·S²² 10. 1 ex + 1 dx

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: (a) Estimate the area under the graph of the function f(x) sum with n = 10 subintervals and right…

A: Given   fx=1x+7x=0 to x=4n=10

Q: Evaluate the integral by changing to cylindrical coordinates. 16-² [J 16-y2 xz dz dx dy

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Q: The vertical velocity of a cork bobbing up and down on the waves in the sea is given by the figure…

A: The vertical velocity of a cork bobbin is given. To be found - Motion of cork in point B and C…

Q: 24. yIn(cos5 (3x¹))

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Q: Use Newton's method to approximate a root of the equation 4x7 + 4x4 + 2 = 0 as follows. Let x₁ = 2…

A: we have given f(x)=4x7+4x4+2

Q: In step 3, why dont we find derivative of (3m-1) / sqrt (1+m^2) instead?

A: We have t explain why there is derivative of 3m-11+m2 not found.

Q: q 0 100 200 300 400 500 600 C'(q) 22 20 15 13 8 10 7 The table shows the marginal cost of producing…

A: We have given a table of marginal cost of producing q units of goods. We have to find the total cost…

Q: Dave keeps track of the revenue that his factory makes over time using a linear function: y = 5.50x+…

A: Given: y=5.50x+200y represent total profit  of company  and x represent by number of boxes.

Q: The velocity of an object (in km per minute) t minutes after it begins moving along the positive…

A: We need to solve integral problem and interpret it.

Q: Tutorial Exercise Evaluate the integral below, where B is the ball with center the origin and radius…

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Q: Use the transformation u = 3x+4y, v=x+3y to evaluate the given integral for the region R bounded by…

A: The given double integral is:∫∫R 3x2+13xy+12y2 dx dywhere R is the region bounded by:   y=-34x+2,…

Q: a) (An C) U B b) (BC) - A c) C- (AB) с

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Q: Consider the integral U 5 √x ³ e² Applying the integration by parts technique, let da et dx. and

A: ∫x5exdx

Q: Find the missing value. y varies directly as x2, and y= 72 when x = 6. Find y when x = 12. O 24 O 12…

A: y αx2 y=kx2............ (i)  Where k is proportionality constant  k=yx2 Put y=72, x=6 k=7262=7236…

Q: Can someone complete question 2

A: The given function is:f(x,y)=(x+5)eyGiven point is:P=(3, 0)

Q: Q2 Let f(x) = 2x² x² 4 Show all your work. Q2.1 Find the domain of f, the x- and y-intercepts fo f…

A: fx=2x2x2-4

Q: Find the directional derivatives of the following functions at the specified point for the specified…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: QUESTION 2

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Q: GRAPH and find the length of the curve   A. (x^5)/6 + 1/(10x^3) 1<=x<=2   B. y^2=4x 0<=y<=2

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: 30. y= sin x ex+5

A: Consider the given function. y=sinxex+5

Q: Find all critical values for the function and then list them (separated by commas) in the box below.…

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Q: 6ம் n=1 4.7 10... (3n+1) (2n)! .

A: ∑n=1∞4.7.10........(3n+1)2n!  Determine the series convergent or divergent.

Q: Find dy/dx and d²y/dx². dx d²y dx² 11 x = 5 sin t, y = 6 cos t, 0 < t < 2π For which values of t is…

A: x=sint,y=cost

Q: Use logarithmic differentiation to find dy/dx. y=x√√√x²+ + 10, x>0 dy dx 11

A: y=xx2+10

Q: Find the volume of the given solid. bounded by the cylinder x² + y² = 16 and the planes y = 2z, x =…

A: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=2z, x=0, z=0 in…

Q: Determine if the serie is divergent or convergent, explain

A: Given: ∑n=2∞n(-2)2n7nn2+1 We are required to find: The given series is convergent or divergent.

Q: Find the general antiderivative of f(z) = z + 8². Use C as the constant of integratio F(z) =

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Q: 24) In terms of m and n (with 1 ≤ m <n), find a formula for: n Σi². i=m

A: In terms of m and n with  1≤m&lt;n, to find a formula for the following expression. ∑i=mn i2

Q: Find the derivative of the function. 3 X-7 y'(x) = y =

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Q: Use spherical coordinates. Evaluate J xex trẻ tr + + dv, where E is the portion of the unit ball x2…

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Q: (3) Using differentials, approximate the value of ₹28.3. Give your answer to 4 decimal places.

A: We are authorized to answer one question at a time, so we are answering the first question, please…

Q: Evaluate the indefinite integral below. 7 [m²+1 dm

A: Given;

Q: Find the area of the region enclosed by the curves between their intersections. y=-3x^2 and y=…

A: Given :  curves are given as y=-3x2  and y= -x To find : Find the area of the region enclosed by the…

Q: Evaluate the definite integral exactly using the Fundamental Theorem. 4 for cez (e² + 3)dz

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Q: 0 is an angle in standard position whose terminal arm is in 3 Find sin 8. /13 quadrant IV and cos 0…

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Q: Find the work done by F over the curve in the direction of increasing t. F = 6zi + 6xj + 6yk, r(t) =…

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Q: - Evaluate .0 So So r² cos 0 drde

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