Find the volume of the Shape around the Y Axix of 2x^3 + 3x between the limits Y = 1 and y = 3

Q: Find the consumers' surplus if the demand function for a particular beverage is given by D(q) = and…

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Q: Consider the following nonhomogeneous linear differential equation: y''(t) + 5y'(t) - 6y(t) =…

A: We need to find particular solution.

Q: 21-28 Solve the initial-value problem. 21. dy - ²+1, 10, y = 6 when t = 0

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Q: Find the unique anti-derivative F of 2e5-2e2r +4e7 -3r e2r f(x) for which F(0) = 0. = F(x) F(x) =…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at P in the direction  of the unit vector u=cos…

Q: Find an expression for f given ƒ" (x) = 2 + x³ + 6x

A: Given expression f''( x ) = 2 + x3 + 6x

Q: Find the amplitude, period, and horizontal shift of the function. y = 2 cos(x(x + ²)) amplitude…

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Q: Given that f'(x) = cos(x), ƒ'(π/2) = 7 and f(7/2) f'(x) = f(x) = ← ▲ = 4 find:

A: f"x=cosx Integrating both sides ∫f" xdx=∫cosxdx f'x=sinx+c Put x=π2 f'π2=sinπ2+c 7=1+c c=7-1 c=6…

Q: Find the radian measure of the central angle of a circle of radius r that intercepts an arc of…

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Q: Find the second degree Taylor polynomial T₂(x) of the function f(x) = x lnx centered at a = 1.

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Q: Learning Target INT5: I can evaluate a definite integral using the Fundamental Theorem of Calculus.…

A: To solve the following

Q: Prove that if x, y, z is a Pythagorean triple, then at least one of x and y is divisible by 3, and…

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Q: Find the absolute maximum and absolute minimum of the function f (x) = 7x² − 14x + 3 on the interval…

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

A: To find out the solution of the given trigonometric equation.

Q: Find the area between the curves. x= − 2, x= 1, y = 5x, y=x? -6 The area between the curves is (Type…

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Q: Given that ƒ"(x) = cos(x), ƒ'(π/2) = 4 and ƒ(π/2) = 6 find: f'(x) = f(x) =

A: f''(x)=cosxgiven  f'(π2)=4given  f(π2)=6

Q: Consider the following. x = 7√/sin(y), 0≤ y ≤ π, x = 0; about y = 4 (a) Set up an integral for the…

A: X = 7(sin(y))1/2 0<= y <= pi x = 0  y = 4

Q: A store has been selling 300 TV monitors a week at $550 each. A market survey indicates that for…

A: Let x is the number of monitors sold per week  Let px be demand function and Rx be revenue function

Q: Find dx/dt.

A: x=12sin 2t -2cos 2t-3 sin 2t+4cos2t we have to find dxdt = ?

Q: Find the radius r of a circle with an arc length

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Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle ?. Use the…

A: cotθ=4 As we know ⇒cotθ=BasePerpendicular=BP=41⇒B=4,P=1

Q: ▪TT/2 sinx sinx+cosx 0 dx 3:47

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Q: A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 16 ft/sec².…

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Q: Sketch the graph of a function f that has all of the properties listed. The graph need not be given…

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Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable.   limx→13…

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Q: If C is a circle of radius 8 centered at the point ( 0, 0), then evaluate f(7y - ein(e) dr + (10x -…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 13…

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Q: Consider the parametric curve given by: x = sint y=t²e². Find all t such that the tangent line to…

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Q: A car is merging onto a freeway (beginning at rest), accelerating at a constant rate of 14ft/sec².…

A: Formula :          Acceleration = Speed Time  Now  1 mile = 5280 feet  and  1 h = 60 x 60 seconds…

Q: g) Points of inflection (POI) and intervals of concavity: Use the concavity chart.

A: To find the points of inflection (POI) and intervals of concavity, we can use the concavity chart,…

Q: Find the derivative of the function. f(x) = In (9x² - 3x + 7)

A: The given function is fx=ln9x2-3x+7. We have to find the derivative of the function.

Q: Consider the function f(x) = 9(x - 2)2/3. For this function there are two important intervals: (-∞,…

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Q: f (x) = X 1-x³

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Q: Suppose that the marginal propensity to consume is dc = 0.9-e -0.5y (in billions of dollars) dy and…

A: given  dCdy=0.9-e-0.5ygiven  consumption is $8.5 billion when income is $0

Q: Find the expression for Ax and the right Riemann sum for each of the following functions and…

A: a)  The left Reimann Sum (also known as the left endpoint approximation) uses the left endpoint of a…

Q: n=1 √n 3 n° +1

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Q: Determine the most possible complex zeros of the following function: f(x) = -5x5 - 7x²+3

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Q: In a certain environment, a colony of bacteria grows according to the model A=Aoe^0.31t, where A is…

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Q: Find the area bounded by the curve y = 7x ln(x), the x-axis, and the lines x = 1 and x = e.

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Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

A: given derivative is 11cos(x)let a function is f(x)given  f'(x)=11cosx

Q: find y= d५% टर sen²x = 1 secx тех

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Q: Consider the following function. f(x) = 2x2ex + 1 Approximate any relative maximum or minimum…

A: we have given function f(x) = 2x2ex + 1   we need to find the extreme points.

Q: Evaluate the following indefinite integral. [10da 10 dx +C

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Q: Calculate the derivative d dx e7x In (t)dt Spo using Part 2 of the Fundamental Theorem of Calculus.

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Q: Calculate the dot product of u = (-5, -2, 7, -2) and v = (-3, 1,5,8). u. V =

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Q: Find the derivative of the function. f'(s) = f(s) = (s³ + 1)e−s³

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Q: Find the interval(s) 2 3x f(x) = is concave up. 4 7 where 3 X² - 2x² − 3x + 2 -

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Q: A manufacturer has determined that the revenue from the sale of x rocking chairs is given by the…

A: For a revenue function R( x ) The marginal revenue function will be R'( x ) Given revenue function…

Q: Find the global maximum and minimum for the function on the closed interval. f(x) = 18x3 - - 6x…

A: f(x)=18x13-6x

Q: Evaluate the indefinite integral: [ (8e" + 3 sec²u) du = + C.

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