Describe the given region in polar coordinates.

Q: The gradient of f(x, y) = xy at (x, y) = (2,3) is

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Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < πr, with starting point (,0).

A: Given equation of curve:- y=lnsinx

Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

A: The given integral is:∫y2+8y+49y2+492 dy

Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

Q: a. 1 e+te 0.5x e²x So dx

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Q: The region bounded by f(x) = −3x² + 12x + 63, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Every year, Danielle Santos sells 59,200 cases of her Delicious Cookie Mix. It costs her $2 per year…

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Q: - The function ƒ(x) = 2x³ − 33x² + 144x – 2 has two critical numbers. The smaller one is x = and the…

A: Please see the below picture for detailed solution.

Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.

Q: Differentiate the function. f'(x) = f(x) = log₁0(x⁹ + 7)

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Q: A study of the demand for air travel between two cities depends on the airfare according to the…

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Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

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Q: Q3 Find the exact limit. lim x48 sinh(22) ex

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: A volume is described as follows: 1. the base is the region bounded by y = e³.5x, y = 3.5x² + 0.9…

A: Given,             A volume is described as follows:             1. the base is the region bounded…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given function: f(x) = 45x54 To find: Arc length of the given function f(x) over the interval [0,16]

Q: 3. If z=x²y,x=2t+s, and y=1-st², find dz atl=2

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: Find the points on the cone ² = x² + y² that are closest to the point (5,2,0)

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Q: Let à = (-3, -5, -2) and 6 = (2, 5, 3). Find à x b. V Calculator Check Answer 7

A: Please see the below picture for detailed solution.

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

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Q: Solve yy'= -(x+2),Y(0)=\

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Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

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Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = 8t² + 5t.…

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Q: do you know the formula for finding integrals

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Q: The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of…

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Q: Find the arc length of the curve y = ln x - ²² on the interval [1,3].

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Q: Find the inflection point for the function shown below. If there are more than one, be sure to…

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

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Q: let y = 5 log2 x³ find y' O 15/(In2 +x) O 15/x O (5/In2)(3/x) noe of the above

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Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

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Q: Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate this…

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Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = t² + 3t.…

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Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

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Q: Use the root test to determine convergence or divergence of the series of the series. n=1 3n¹3+n…

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Q: b) lim x² +8x+16 X-1 x²-16

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Q: 3) Curve Sketching: The function y = f(x) and its derivatives are given below. Use the information…

A: We have to plot function using given information

Q: Differentiate the function. f'(x) = f(x) = 250

A: f(x) = 250 We need to find f'(x)

Q: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: 6 Function f is defined by [1-e, x0

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Q: Consider the following. Sk (4x - y) da, where R is the region in the first quadrant enclosed by the…

A: Given that  R is the region in the first quadrant enclosed by the circle x2+y2=4and the lines x=0…

Q: Determine if the series O n=1 n cos (n) 3+n³ converges or diverges and choose the option that…

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Q: question

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