Find the critical points in the domain of the function f(x) = 7x³ - 6x.

Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

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Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: Use a calculator to find the acute angle between the planes given below x+2y + 2z = 8, x-y-3z=5 The…

A: x+2y+2z=8x-y-3z=5

Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)

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Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

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Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

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Q: Find an explicit solution of the given initial-value problem. x2dy dx =y-xy, y(-1) = -4 y =

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Q: 3+3=? Please explain

A: To find the value of the following expression. 3+3=?

Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x²1 x…

A: I=∫xnlnaxdxusing integration by parts, taking u=lnax  and…

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Q: Which of the following could represent an exponential function of the form y=f(x) = A.bx, where b>1?…

A: We need to find correct option.

Q: Let ux² then dx = du 2x and so 2 2 du S ƒ ze²³d² = ƒ re² de S xe dr xe" 2x 0 0 1 S = (²-1) e" du

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Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: 4. Determine the 75th derivative of each of the following functions. f(x) = 3 cos 2x b)

A: given function is f(x)=3cos(2x) we know d dx(cos(ax))=-asin(ax)  and d dx(sin(ax))=acos(ax)

Q: 4. Graph f(x)=-2log, (x-5)+3 Show your work.Write Domain and range.

A: According to  question,given function,fx= -2 log3x-5+3

Q: Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy =…

A: Given data differential equation  ye-xdydx=x

Q: Determine a definite integral that represents the area of the region enclosed by one petal of r = 4…

A: We have,      r = 4 sin (3θ)       a = 0

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: Determine the concavity and points of inflection for y = 2cos(x) + sin(2x) over the interval 0 ≤ x ≤…

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Q: The revenue, in dollars, derived from the sale of a units of device model SDP732 is given by…

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Q: The radian measure of the acute angle is 0 =

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Q: Consider the function f(x) = 2x³-9x² - 108 +4 on the interval [-4, 8]. (a) Since the conditions of…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: Solve the given differential equation by separation of variables. 1 y In(x) dx = (v + ¹)² dy x³ln(x)…

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Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: Q4/ For the following three matrices : k 4 k A= 0.5 2k 0.5 2 8 2k 1 3 B=m 2 1 m a- Find value of (k)…

A: Given: A=k4k0.52k0.5282k,B=13m21m,C=22161184432 We are required to: a. Find the value of k if A is a…

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x²…

A: Given: f(x)=x2 We are required to: a. Find the simplified form of the difference quotient…

Q: Decide from the graph whether a limit exists. If a limit exists, find its value lim F(x) x→-2

A: If the limit exist then the left hand limit and right hand limit are equal

Q: A plant with a mass of 10 kg is suspended from a ceiling by two lengths of rope that makes angles…

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Q: If a company's marginal revenue function is MR(x) = xe-x/2, find the revenue function. [Hint:…

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Q: for each question. A correct answer without an explanation will not earn any credit. The population…

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Q: 29 / 36 determine the derivative function (for). 9. Let f be the R²R function defined by f(x, y) =…

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Q: The total U.S. personal income I (in billions of dollars) can be approximated by I=535.6(1.054)t  ,…

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Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu- ray players…

A: marginal cost =c = 0.04xx =DVD/Blu- ray players DVD/Blu-ray players were produced 7x +800marginal…

Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels…

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Q: -∞ x² et³dx.

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Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Solving the problem

Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: Find the mass of the two-dimensional object. An oversized hockey puck of radius 5 in with a density…

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Q: Without using symmetry, determine a definite integral that represents the area of the region…

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Q: Find the distance from the point (1,0,0) to the plane 4x + 4y +7z = 32. The distance from the point…

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Q: If land that can be farmed L is eroding continuously at a rate of 4.5% per year because of changing…

A: “Since you have asked multiple questions (a and b are not related to each other), we will solve the…

Q: The Equilibrium Price is $19 is wrong

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