Use cylindrical shells to find the volume of the solid generated when the region enclosed by the given curves is revolved about the x-axis. y = x2, x = 4, y = 0

Q: Question 1 Let f(4) = 7 and f' (x) <4 for all x between 4 and 16. Use the Mean Value Theorem to find…

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Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: P'(x): the rate of change of total profit with respect to the number of tickets sold, x. It is…

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, –2, 1, 5}…

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Q: t) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: solution

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

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Q: 3. Let's consider the function f(x) = 2 + 2 sin(x) on the interval 0 < x< 2n. Algebraically…

A: We have to find the inflection points and interval in which f(x) is concave down.

Q: ~3 (x/x+1)dx

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Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x- 40y – 200 = 0 !!

A: Given:     153x2-192xy+97y2-30x-40y-200=0  We have A=153, B=-192, C=97 So, cot2θ=A-CB=153-97-192…

Q: Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros.…

A: Given query is to find the 5th zero.

Q: In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a…

A: In order to get the velocity function we need to differentiate the distance function with respect to…

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: Determine the area that lies inside r = 3 + 2 sin 0 and outside r = 2 (the green region below). r =…

A: In this question, we need to find the area of the region that lies inside r = 3+2 sin θ and outside…

Q: e xp: (1+ e=)² 0.

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Q: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 –Vx – 13(0.9y –…

A: Here, the given function of demand is: D(x,y)=21000-12x-13(0.9y-10)32 where x is the price per car…

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q - 0.9q + 620. The…

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Q: 3) "s) Determine the highest real root of f(x) = 3x' +11,8x -17,8x-6 a) Graphically,

A: f(x)=3x3+11.8x2-17.8x-6from below graph, highest real root is x= 1.386

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

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Q: Example Find the volume of the region ,2 enclosed by

A: We are asked to find the volume of the region

Q: Solve th D.E using Exact dx +(x² +3y* )dy

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Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

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Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: For all integers x and y, if 6x+y is odd, then x and y are both odd. True False

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.002q -0.7q + 620. The…

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Q: Calculate the definite integral. 1 | 3 Vx dx

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Q: —х-1 6. (LO 5) Let f (x) Find the absolute maximum and minimum values of f(x) x2+3 on the interval…

A: Solve the following

Q: A particle moves along the x-axis such that at any time t 0 its position is ax(t), its velocity is v…

A: The velocity of a particle at any time t is given as: vt The acceleration of a particle at any time…

Q: 3+ dx

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Q: f(x) = (e* – x); [0, 2]

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Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: topic - application of derivatives

Q: A particle moves along the x-axis such that at any time t20 its position is a (t), its velocity is v…

A: Find your answer below

Q: Question Convert the following minimization problem into its dual. Minimize : Z(x, x. x) = 9x, +8x,…

A: First we write the matrix A that represents the  minimization  problem. Then write AT transpose of…

Q: For the function g(x) =x - 9x° solve the following. 3 g(x) <0 .... Select the correct choice below…

A: The given function is: gx=x5-9x3 Solve  gx&lt;0

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 – 5 sin (3t - 3).…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Let y be given implicitly as a differentiable function coey + e-2 -0 then the slope of the tangent…

A: Solution is given below...

Q: Use the integral test to determine whether the following is convergent or divergent. Vn(1+/n)

A: Solve the following

Q: What amount invested today would yield $57,000.00 in 11 years if it were invested at 5.90%…

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Q: d²y #3. Find if x' + y' = 9 dx? |(-1,2)

A: x2 + y3  =9 now differentiate it  2x + 3y2(dy/dx) = 0 dy/dx = -2x/3y2 now agian differentiate with x…

Q: -1 Given f (x) = tan (2x), find f'(x) in simplest form. Answer: Submit Answer

A: f(x)=tan-12x

Q: 1. y=e

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Q: Prove by Mathematical Induction. n(n + 1)(2n + 1) k² 6 k=1

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Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.

Q: CS

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Q: The acceleration function (in m/s2) and initial velocity for a particle moving along a line is given…

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Q: Find a function of the form y = A sin(ka) + C or y = A cos(ka) + C whose graph matches the function…

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