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Q: Let C be the curve given by f(x) = cosh x for 0 ≤ x ≤ t, where t > 0. Show that the arc length of...

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Q: Use the Chain Rule to evaluate the partial derivative at the point specified. ag at (u, v) = (0, 1),...

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Q: The total cost of  producing 1 unit of a product is given by C(x,y)=30+10x2+20y-xy dollars Where x i...

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Q: Evaluate the intearal 2. w? In (w) dw

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Q: A. Why or why not? (Select all that apply.)   B. Justify your answer. (Select all that apply. )

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Q: evaluate the Indi chorces Jof u blv (use c for the donstant of ntegrato integral Using entegration b...

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A: Let the given integral is So,

Q: find the derivative of y with respect to the givenindependent variable. y = t log3 1(e(sin t)(ln 3)2...

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Q: Use integration by parts to find the indefinite integral. x In x dx

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Q: Find the area of the curve r = sin (3θ) when 0<θ <π. Graph.

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Q: 2. (In(x)) ? dx Xる

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Q: cos-1(x) dx

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Q: Simplify algebraic expression.    8 - 2[3 - (5x - 1)]

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

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Q: Can you answer part a, b, and c

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Q: For what value of a is the following function continuous at every x? ax-6a, x22 f(x) = 20, X<2 Selec...

A: Given continuous function:  

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

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Q: 2 4 Evaluate -dxdy y

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Q: Find c if a = 2.23 mi, 6 = 3.66 mi and ZC = 40.6 degrees. Enter c rounded to 3 decimal places. c = m...

A: We will use the law of cosine 

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

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Q: Use Green's Theorem to find the work done by the force field F(x,y)= (x3-x2y)i+xy2j   on a particle...

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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: sin x At what points is the function y = y%= continuous? 5x Describe the set of x-values where the f...

A: The given function is a composite function whose elementary functions are  g(x)=sin x h(x) = 5x Si...

Q: x2 dx 81 - x2

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

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Q: Sketch the graph of the function y = 1/(x + 1), highlighting the part indicated by the interval [0, ...

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 3x-1- 2

A: Given function is

Q: 15–16 Verify Green's Theorem evaluate both the line integral and the double integral. 15. P(x, y) = ...

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Q: Water flows from the bottom of a storage tank at a rate of r(t)   =200  -4tliters per minute, where ...

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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 centroid of the region bounded by the graphs of y = √(r2 − x2) and y = 0 (see figure).

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Q: Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2 ...

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Q: The bus fare in a city is $1.25. People who use the bus have the option of purchasing a monthly disc...

A: Let N be the number of times in a month the bus must be used so that the total monthly cost without ...

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)...

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y ar...

Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which integrat...

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Q: Calculate the integral ∫dx / √(x2−8)3.

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Q: Business calc question

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Q: the following Series for being divergent Test Convergent or n!

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Q: In (secx) a) | sec2t dt + cot x

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Q: 2 -72 Use a Taylor series to approximate dx. Retain as many terms as needed to ensure the error e is...

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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: Use reference triangles in an appropriate quadrant, to find the angles. Remember that arcsin and sin...

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Q: Find the limit, if it exists

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Q: 00 4. Determine which test can be used to prove the divergence of the series Σ Зп —1: Circle all n=1...

A: Lets apply limit comparison test and check

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤ π&gt;...

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Q: Differentiate the function. f(x) = x³ - 7x + 2 | f '(x) =

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Q: Need to know the steps to get the derivative of (x-2)(x-10)^3, simplified, not in terms of an expres...

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Q: sketch . reverse then evaluate the inlegration 2X 2 (u x+ 2) dydx X 2

A:                               We have to evaluate the integral for the given region between y=x2 an...