Find the area of the surface obtained by rotating the curve y = √2x from x = 0 to x = 7 about the x-axis.

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Q: Compute [5t³ - 8t + 1] d dt

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Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

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

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Q: 2. Find the derivatives of each of the following functions. You do not need to simplify your answer.…

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Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

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Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

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Q: = Evaluate d5 dx5 [x³ − 3x + 1]. (a) (3x² - 3)5 (b) 0 (c) 72 (d) 6

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Q: Given the vector u = (5, 3), find the magnitude and angle in which the vector points (measured…

A: u→=<5,3>

Q: Find the volume of the solid obtained by 8x², rotating the region bounded by y = x = 1, x 2, and y =…

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Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: 3, 3, 1 > and b Let a = . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: Suppose a product's cost function is given by - 3q² + 800q, where C(q) is in dollars and q is the…

A: The details solution of the given question is given below in step 2.

Q: Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a…

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Q: The graph of y = f'(x) is shown. 10 9 -8- 7 6- 5 4 3 2 1 10-9-8-7-6 फं A -2 -3- -4 -5 -6 -7 -8 9 10…

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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: 1

A: We have to simplify and write in x according to the given information.

Q: Expand the quotient by partial fractions. 6x - 10 x - 4x +3 6x - 10 2 x - 4x +3 (Simplify your…

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

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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: 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 derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

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Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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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: 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…

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

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Q: Describe the given region in polar coordinates.

A: Please see the below picture for detailed solution.

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

A: The given function is;  f(x)=sqrt(4-34x).

Q: Find the area bounded by the curvey = x² + x +4, the x-axis, from x = 1 to x = 3. 16 14 12 10…

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Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

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Q: Find the values of x, y and that correspond to the critical point of the function: z = f(x, y) = 4x²…

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Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

A: We need to find the graph which have the following characteristics f is concave down at point (1,5)…

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Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

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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: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: 1. Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1.

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Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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