f(x) = (2x − 1) (x³ — 2) ²

Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 Find the differential dy when x…

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Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

Q: Find the arc length of y = 4x + 1 on 0 ≤ x ≤ 2.

A: Recall the formula: ddxconstant=0ddxx=1∫dx=x+C

Q: Let (5,2,2). P-(1.-2,0). A=(4,3,0) be points in R³. Find the general equation of the plane P in R³…

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Q: Q.#9 For above function, please find and classify any other removable or non-removable…

A: Q.9   For above function, please find and classify any other removable or non-removable…

Q: has a point of inflection. 2 z = 2 3. r = 0, 4 4. # = 0, -4 g 5. r = 0, 1. Find all values of at…

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Q: 12 1층 1 + du 6

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Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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Q: 2. Optimization problem The average cost per unit when producing x units of a commodity is given by…

A: Solved below

Q: [4-R] [CLO 15] Let f : R → Rx ↦ x2. That is,  is defined by the formula f (x) =x2. Give a formula…

A: The given function is: fx=x2

Q: what about b, thanks

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Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Given differential equation:- x2+y28dy=7xdx+ydy

Q: The region bounded by f(x) = −4x² + 16x + 84, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Evaluate the limit sin 2x 8x lim x→0

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: Find the equation for the tangent plane to the surface z = 9x² - 6y² at the point (2, 1, 30). OA.…

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Q: Consider the following vector function. Find each of the following. r'(t) = = r'(0) r(t) = cos(t) i…

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Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: Find the intervals on which the graph is concave up and concave down. (Enter your answer using…

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: 2√3/3 3/2 21 7(²-1) ³92 - -dr = r (Type an exact answer in terms of .)

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Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

Q: 4. CO Σ n=0 3 4+1 51-n

A: The series is given by ∑n=0∞34n+151-n To evaluate: The value of series.

Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: ← aw Əw For the functions w = xy + yz + xz, x= 2u+ 3v, y = 2u - 3v, and z= uv, express and du Əv…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: 20,000e 1+ ķ xy-plane, where x and y are measured in centimeters, find the total population of…

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Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = y=(√x)⁹x

A: The given function is: y=x9x

Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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Q: The gradient of f(x, y) = xy at (x, y) = (2,3) is

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Q: Compute the gradient of the function at the given point. f(x, y)=-3x+7y, (-3,-7) OA. 41-7j OB.…

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Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

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Q: Evaluate the limit sin 2x 6x lim x→0

A: N=limx→0sin2x6x∂ ∂x(sinx)=cosx∂ ∂x(xn)=nxn-1

Q: A volume is described as follows: 4 x² and y = 0 25 1. the base is the region bounded by y = 4- 2.…

A: Given the base region is bounded by y=4-425x2 and y=0. ymax=4-425x2max=4 From y=4-425x2 ,x = ±524-y…

Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4.4. Solve the equation ff(x) dx = sin x - 2 tan x + 7x HELP: Treat ff(x) dx as a variable and use…

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Q: d. f(x) = 3x4. 3x²-2 2x

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Q: Find a plane containing the point (-3,6,-4) and the line x (t) = y(t) z(t) = = - 4 - 8t - 6-7t - 2 +…

A: I have solved step by step in detail...go through the solution

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1) Find the equation of the normal plane…

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Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: Find the volume of the solid obtained by rotating the region bounded by Y = 8x², x = :1, and y 0,…

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Q: Let a = (4, -2, -1) and b = (2, -2, 5). Find the projection of b onto a. proja b =<

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Q: Find the points on the cone ² = x² + y² that are closest to the point (5,2,0)

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Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

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Q: If f(x) = 3x5 - 10x³ +5, on what intervals is f"(x) > 0? Enter the (disjoint) interval(s) below…

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Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.