Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = x³, y = 8, x = 0; about x = 7

Q: Has 200 feet of fencing to enclose two adjacent rectangular corrals, as shown in the following…

A: A(x)=2x(200/3 - 4x/3)

Q: dx =lim h→0 m = lim h f(x)-f(a) x→a solve the derivative of the functions below: f(x)=x²-1 1 8(x) =…

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Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

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Q: 2. Suppose an object moves along a line with velocity v(t) (measured in m/s), for t≥ 0, as shown…

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Q: Change the order of integration for the double integral You do not need to compute the integral. 2…

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Q: 3) The amount of radioactive substance after x years can be modeled by N(x) = 12e-0043x (a) How long…

A: The amount of radioactive substance after x years can be modeled by  N=12e-0.0043x. (a) To determine…

Q: 4. Given the equation f(x) = a(x−p)² + a(x-p)² + q what does the a represent?

A: To write down what q represent in the given equation.

Q: Boyle's Law expresses the relationship between the pressure, P, and the volume, V, of a gas under…

A: Need to write down the equation that relates the rate of change of pressure and volume with respect…

Q: Use partial fractions to find the power series of the function: 4x + 93 (x-6)(x + 7)

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Q: The ramp of a moving truck touches the ground 15 feet away from the end of the truck. If the ramp…

A: The ramp of a moving truck touches the ground 15 feet away from the end of the truck. If the ramp…

Q: The partially completed table below shows the ten basic solutions to the following e-system. = 29 =…

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Q: $4,000,000 borrowed at 4% for 30 years, with quarterly payments

A: Given that P =$4000000  , APR =4%=0.04

Q: A solid is generated by revolving the region bounded by the following about the y-axis. 1.2 y ==x y…

A: Given function y = 16x2y = 6

Q: Once an airplane has reached its cruising altitude, its computer shows the destination to be 2,400…

A: The linear function we used to model the distance of the plane from its destination is an example of…

Q: Y = -(x-3)² + 4. Find the area of the region enclosed by the curve.

A: To find the area of the region enclosed by the following curve. y=-x-32+4

Q: When a tap at the base of a storage tank is turned on, water flows out of the tank at the rate of…

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Q: Find the area between the curves. x = -5₁ x = 3, y = 2x² + 5, y = 0

A: The equation of curves are: x=-5, x=3, y=2x2+5 and y=0 To determine: The area between the curves.

Q: Solve the equation. 3 xét tốt dx dt An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: 8. f(x) = (2x − 1)²sec (x³) Find f'(1) You will need product rule...remember to use radians in…

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Q: Give an equation for the line which passes through the points (−1, 2) and (3, 4).

A: The points are given by x1, y1 = -1, 2x2, y2 = 3, 4 To determine: The equation of line passing…

Q: Find the general solution to the given differential equation for y(x) (D3 - 4D²)y = 0

A: Differential equations where D=d/dx

Q: || 4 (x + 4) dx 0 4 2 = [= ² + 4x] 2 0² [( ½ + 4×4) − ( ½ + 4×0)] 2

A: The integral is given by ∫04x+4dx To determine: the value of the definite integral. Formula Used:…

Q: 9. Solve the following initial value problem X dy dx + 2y = 4x², y(1) = 2.

A: given equation is xdydx+2y=4x2, y(1)=2

Q: Baby Boomers and Social Security Benefits Aging baby boomers will put a strain on Social Security…

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Q: At time t (in minutes), an object's distance (in meters) from a point is given by s(t) = cos(+1 (a)…

A: the objet's distance s(t)=cos(t2+1)where,s(t) in meterst in minutes

Q: 5. Sketch: y=2sin(t) {two cycles} Step one: Find the length of one cycle: Step two: Break cycle into…

A: To sketch the function y=2 sinπ2t for two cycles.

Q: 7. f(x) = √√sinx³ Hint rewrite first Write answer in radical form. Туре.

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Q: If a = (2, -1, 9) and b = (8, 2, 1), find the following.

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Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Given:     P(t) = 71 + 2t where t is the time in years and P(t) is the production of trash by the…

Q: 0 3. Find all of the eigenvalues and corresponding eigenvectors of A = -2 1 -3 Show all work.

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Q: Construct the differential equation for the given exponential model. y(x) dy dx = 92e⁰.74x

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Construct a polynomial function with the stated properties.  Third-degree, with zeros of -4, -3, and…

Q: Suppose that p(x) =an" converges on (-1, 1], find the interval of convergence of p(3x - 9). n=0 x=…

A: To find the interval of convergence of p(3x-9)

Q: The owner of a ranch has 2,900 yards of fencing material with which to enclose a rectangular piece…

A: The owner has 2900 yards of fencing material, to enclose a rectangular piece of grazing land along a…

Q: Suppose sin(2x) Then cos(x) 5 13

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Q: { f(x) = { { if -6 ≤ x ≤-2 if -2 < x≤1 if 1 < x≤6

A: we have given graph of a function and to find the equation of graph.

Q: A produce and distributor of gift cards produces a boxes of cards per day at an average cost C (x)…

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Q: Differentiate: f(x) = In In ( f'(x) = x³ x5 6

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Q: Determine {F}. F(s)= 8s³-48s²-3s +24 s³ (5-8) Click here to view the table of Laplace transforms.…

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Q: b) What will be the average cost per unit for the first 10 units

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Q: 4. Find y(x) for: y = x³ + 2x²-1 x+5

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Q: the function the value guaranteed by is ? ath f(x) = x²-² X in mean on [0,1] Value the interve yo…

A: We have to find the value of c. Suppose f(x) is a function that satisfies both of the following. f…

Q: Solve the initial value problem. y''+4y'+4y=6 , y'(0)=0 , y(0)=1

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Q: Evaluate the following integral in spherical coordinates. 2 2 SSS ( x² + y² +2²) 19/2 dV; D is the…

A: So for cartesian coordinate to spherical coordinate the conversion formula isx=r sinϕcosφ,…

Q: Q3 Sketch and evaluate ²x²dx

A: 3) Given that ∫12x2dx

Q: Q2 Given marginal cost is C'(x) = 2x + 5. Find the cost of the 3rd unit.

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Q: Evaluate the definite integral. 10 •π/4 (9ex - 4 sec(x) tan(x)) dx

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Q: Sketch

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Q: 49

A: ln4te6t

Q: 3 a. Find an equation for the line perpendicular to the tangent to the curve y=x²-16x +5 at the…

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