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Q: The demand function for a certain product is given by p = 500 + 1000 q + 1 where p is the...

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Q: y"-6y'+13y =0,y(2)= 4,y'(1) = 9

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: Most centroid calculations for curves are done with a calculator or computer that has an integral ev...

A: Given: The coordinate of the centroid of the curve

Q: Find the value of dy/dx if x = t2/(5+t) and y= sqrt (5+t2)

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Q: -4- 1- 6 10 --1- --2- On the intervals [0, 4] and [6, 10], h(t) is defined by two linear expressions...

A: We can write the integral in 4 parts

Q: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 3x, ...

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Q: (a) How do you tell if two vectors are parallel?

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Q: Use the given formal definition to prove the limit statement. lim X- 10 x-10* The function f(x) appr...

A: To prove:

Q: Find the indefinite integral and check the result by differentiation. ∫3√x2 dx

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Q: Show that the given function is a solution to the differential equation y=3x2+1, 2ydx-xdy=2dx

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Q: 6

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Q: Calculus Question

A: Let f be a function with two variables with continuous second-order partial derivatives fxx , fyy an...

Q: Because of the curvature of the earth, the maximum distance D that you can see from the top of a tal...

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Q: Calculus Question

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Q: Calculate the integral ∫coshx / 2+3sinhx /dx.

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Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabolas y = 2x2 and y ...

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Q: Find the asymptotes of the hyperbolic tangentf(x)=tanhx.

A: The given function is has only vertical asymptotes.

Q: Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independ...

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Q: 18 16 14 12 10- 8- 2 Estimate the instantaneous rate of change at æ = 3 Your estimate needs to be wi...

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Q: An offshore oil well is 2 kilometers off the coast. The refinery is 5 kilometers down the coast (see...

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Q: find the following indefinite integrals

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Use integration by parts to solve the following integrals for a b and c

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 11 16 21 26 31 ...

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Q: Evaluate the integral.

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Q: solve eYsin(x) -y'cos"x = 0 2. cos¯x=0

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Q: 4 |U] d% (flo or funchon

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Q: 1.

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Q: Determine the partial fraction decomposition of x −1/(x +2)(x2+4).

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Q: (a) Find the antiderivative F(r) of the function f(r) = r“ – er + e, that satisfies the initial valu...

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable f(x) = x4...

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Q: find the derivative of y with respect to x, t, or θ, as appropriate.

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Q: Evaluate the integral.

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Q: Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, re...

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Q: use the trapezoidal rule, the midpoint rule, and simpsons rule to approximate the given integral wit...

A: Consider the given integration for the approximation.

Q: lecessary steps. (a) / = V2r – 1 dz (b) ; dr edr +1

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Q: Following Solve the %3D e +4 1

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Q: G.I. = 2 where L(r) is called the Lorenz curve. A country has a Lorenz curve in the form L(r) = r", ...

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Q: Find the particular solution y'=4x3+3x2 if y(0)=4

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Q: use series to evaluate -x-2

A: Given Use series to integrate

Q: 3r/2 4|sen(x)| dx

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Q: 3. Which of the following integrals in spherical coor- dinates can be used to calculate the volume o...

A: Given

Q: Question 6 Evaluate the following indefinite integrals. If you decide to use a substitution, show al...

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Q: Let P(x) = tln(t) dt. Use part 1 of the fundamental theorem of calculus to determine if P(x) is incr...

A: Given function is

Q: 3t test cos 6t

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Q: Determine the global extreme values of the function on the given domain. f(x, y) = x² + y2 – 6x – 8y...

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Q: Let s(x) and c(x) be two functions satisfying s′(x) = c(x) and c′(x) = −s(x) for all x. If s(0) = 0 ...

A: Given, s′(x) = c(x) and c′(x) = −s(x) for all x. If s(0) = 0 and c(0) = 1, To prove: [s(x)]2 + [...

Q: y" – 6y' + 13y = 0, y(a) = b, y'(c) = d %3D %3D %3D

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Q: 1 5. Determine whether the series S= >) converges or diverges and identify the test you used. (3n + ...

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Q: I am very confused! Please show the step-by-step solution with explanations! Thank you so much!

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Transcribed Image Text

cos q+ sin q dp dq Find for p = cos q