What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x is revolved about y = 0? O 64 pi/5 O 64 pi/15 8 32 pi/5 32 pi/15 ΝΑ

Q: fesch² (1- csch² (1+ 3x) dx

A: Hyperbolic function need to be integrated.

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: It is projected that the population of a certain town will be P(t) = 2t+4+³/2 + 5000 where P(t) is…

A: Rate of increase of population=P(9)-P(0)9-0

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: 2 = 2(0)+7(0) + ²₂ D 6. Use a(t)=-32 feet per second squared as the acceleration due to gravity. A…

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Q: Question 8 A manufacturer has determined that the total cost C of operating a factory is C = 0.5 x²…

A: At what level of production will be average cost per unit

Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: Graph a vector, opposite to the given vector, that has an initial point at the origin.

A: In order to graph the opposite vector we need have one more point along with the origin.

Q: The current population of a small town is 2104 people. It is believed that town's population is…

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Q: 3/7 Identify the coordinates of any local and absolute extreme points and inflection points. Graph…

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Q: The amount of a certain substance in a chemical compound is given by the function C (t) = 20.6…

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Q: yı y' = 2x +2y +1 3x +y -2

A: We can solve the given differential equation .

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to comput derivatives. a. h'(2) b. p'(1)…

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Show that, given the three angles A, B, and C of a triangle and one side, say a, the area o the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

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Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: Find T,N and k for the curve: 1- r(t) = (6 sin 2t)i + (6 cos2t) j+5tk.

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: II. Find the value(s) of x (or the interval of convergence) for each of the following power series.…

A: The given power series,       ∑n=0∞n! xn

Q: (b) lim *+1 √√2x+6-2 x²-1

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Q: Evaluate the double integral: So Son VV (Hint: Change the order of integration to dy dx.) sin(7³) dr…

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Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

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Q: Determine the constants c and d in the equation of the curve y = at (0, -1) and an inflection point…

A: This question can be solved using the concept of functions and derivatives.

Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: If f(x)=5x(sinx+cosx), find f′(x) =

A: Product Rule of differentiation : du.vdx=u.dvdx +dudx.v dxndx=n.xn-1 dsin(x)dx=cos(x)  and…

Q: Perform the integration. x-1 dx x² + 5x + 8

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: nd price (demand) functions C(q) = 100q+43,700 and p(q) = 2q + 890, what is the marginal revenue at…

A: Please refer to the image below

Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: 13. In |z|

A: It is depend upon the property of complex number and thier Logarithmic.

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = -1.9q + 900, what profit can…

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Q: ular bird sanctuary with one side along a straight river is to be constructed so that it contains 72…

A: Please refer to the image below

Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given…

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Find the directional derivative of the function f(x, y) = √√√x + 2y at the point (2, 1) in the…

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Q: Find all points where the function has any relative extrema. Identify any saddle points. f(x,y) =…

A: f(x, y) =4x2+6xy+3y2-4x-8 In this question, we need to find all the points where the function has…

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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Q: 6. csch x dx

A: To find the integral of the given function.

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Using derivative

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x>19,500

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: Compute the effective rate of interest corresponding to a nominal rate of 4.8% compounded…

A: We need to use effective interest formula.

Q: Show that the substitution a = e, y = et converts the equation ди ² (0²²) + 1² (0²5²) +- (3) +v(u) =…

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Q: 1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²

A: