Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. So Sox dx dy

Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

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Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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Q: he given curve is rotated about the y-axis. Find the area of the resulting surface. y =  1 3x3/2,…

A: Given

Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

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: 1. Find the average value of the function over the given interval and all values of x in the given…

A: The solution is shown below-

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

A: Let speed of airplane = V speed of wind = W

Q: 5. Find the explicit solution of the given initial-value problem. dy e-x-ex dx 3+4y a) = y(0)=1 (b)…

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Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

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Q: A cable runs along the wall from C to P at a cost of $7 per meter, and straight from P to M at a…

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

A: f(x) = 250 We need to find f'(x)

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: The tangent to (2,4) on the graph of a function f(x) is y = 5x - 6. Evaluate f'(2). (a) 5 (b) 4 (c)…

A: We have given the equation of tangent line y=5x-6 of f(x) at point (2,4).

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

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Q: Use double integration to find the volume of the solid bounded by the cylinder x² + y² = 9 and the…

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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: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…

Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: Determine if the limit lim (1+5x) 1+0+ exists, and if it does, find its value.

A: Given: limx→0+1+5x12x

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A: We have to find m'(-1) and n'(6) Where m(x)=f(x).g(x)        n(x)=g(x)/h(x)

Q: Complete the parametric equations of the line through the points (-6,-1,6) and (-2,-7,-4) x(t) = − 6…

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

A: To sketch the region bounded by the given lines. Then to express the region's  area as an iterated…

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: Find the distance from the point (7,1,-2) to the line ä(t) = (-5, 0, -2)t + (0, 3, 6). Calculator…

A: We have to find the distance between the point and line.

Q: 3x³+1 f) lim x →∞0 4x³-1

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Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: X x+3 3x-1 Evaluate the limit, if it exists: lim a. 0 b. undefined C. co|w d. 1

A: Given : limx→3  x3x-1 To find: The value of given limit

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A: Need to find out the rate of changing of area outside the circle but inside the square changing.

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 +…

A: Solution: Given data, P(t) = 115 +t-83e0.02t where t is the week and 1≤t≤52.…

Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

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Q: Let C(x) represent the cost of producing x units of a particular commodity where C(10)=1000 and…

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

A: The solution is shown below-

Q: A chemist has three different acid solutions. The first acid solution contains 25% acid, the second…

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Q: Evaluate the integral. 2 √√Z T ||||** SS (² cos ²0+z²)r de dr dz 000 2 √Z T S SS (² cos ²0 +2²)r de…

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

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Q: what about b, thanks

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Q: (b) g(x) = (x + e*)², [0, In 4]

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Q: Find the critical point of the function f(x, y) = −8+2x+4x² + 5y-y² This critical point is a:…

A: Given f( x, y ) = -8 + 2x + 4x2 + 5y - y2

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: Find the absolute maximum and minimum values of the following function over the indicated interval,…

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Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: Solve differenthal equation Y" + 1964 = 0

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Q: Find the derivate of the functions: a) F(x) = -3x²=4 : f'(x) = b) g(v) = 3 g'(v) = 2√² +5V-9 c) f(x)…

A: We need to find out the derivatives of the given functions.

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given function is:fx=-0.001x2+4.2x-80We have to find the absolute extrema of the function.

Q: A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material…

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