Find the surface area of revolution about the 3 y-axis of y = 10x over the interval 4 0 < x < Enter your answer in terms of 5 or round to 4 decimal places. .

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: A movie theater has a seating capacity of 335. The theater charges $5.00 for children, $7.00 for…

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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: z is incorrect

A: We have to find the value of z (Round to 4 decimal)

Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

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Q: Find the limit. lim X→0 sin (8x) 7x

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Q: Q14 Find the equation of the tangent line to the curve f(x) = 2x²(x − 3) at x = 1.

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the…

Q: Solve the system of equations. x - 2y z = 6 -x + 6y-3z = - 18 2x-11y + 5z = 33 Select the correct…

A: Given equations x - 2y - z = 6 -x + 6y - 3z = -18 2x - 11y + 5z = 33

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

A: The solution is shown below-

Q: Consider the function f(x) = 12x5 + 75x¹ – 120x³ +4. f(x) has inflection points at (reading from…

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Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

A: The given revenue is Rq=-8q2+800q, where Rq is in dollars and q is the number of units sold. To find…

Q: Find the derivative of the function. s = 8 t

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Q: -S X √196+x -dx =

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Q: Find the arclength of y = 2x² - 5 on 0 ≤ x ≤ 1

A: Given: y=2x2-5 on 0≤x≤1 To find: Arc length.

Q: Let a = (5, 1, 0) and b = (2, – 4, − 1).

A:

Q: After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's…

A: Given f( x ) = ( x4 - 2x ) g( x ) = ( x2 + 2x - 62 ) h( x ) = 2x - 13

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: A plate in the shape of an isosceles triangle with base 1 m and height 8 m is submerged vertically…

A: A plate in the shape of an isosceles triangle with base 1 m and height 8 m is submerged vertically…

Q: Find the limit. lim 0-0 cos(0) 1 sin (0)

A: Given limit limθ→0cosθ - 1sinθ

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 2.3*,…

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin…

A: By using the double integration to find the area of the plane region  enclosed by the curves. y=sin…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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

A: Given function f( x ) = 36-x2

Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: Find the length of the curve (t) = (2 cos(3t), 2 sin(3t), 5t) for −8 ≤ t ≤ 8 Give your answer to two…

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Q: Consider the function f(x) = 4 2 x² x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: Topic = Integration

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: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: Let f(x) = 4x² - 2x4. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: Can you simplify for the f'(x) like the instructions says

A: The derivative is: f'x=5x51x+lnx25x4

Q: a) Suppose that lim n-00 ∞ The series Enan n=1 an+1 an 1 == 2 converges ✓ by the ratio test <

A:

Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

A: Solved below

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

A: To find where the function is increasing or decreasing.

Q: what about b, thanks

A:

Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: Complete the parametric equations of the line through the point (-1,-8,-7) and perpendicula plane -…

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Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A: We are asked to find the  elasticity of demand

Q: This was incorrect

A: The given function is; f(x,y)=ln(x3+y3).

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

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 3x² +…

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Q: d. f(x) = 3x4. 3x²-2 2x

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Q: Evaluate the integral. 6e6t ¹+12° +35 S- 12t dt

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Estimating the Amount of Rust-Proofer Required A hemisphere-shaped dome of radius 55 ft is to be…

A:

Q: (x+1 Q. #7 For the function g(x) = 3 if x 2 constant "b" that makes g(x) continuous at x=2 Final…

A: g(x) is continuous    here we find value of b by using condition of continuous function

Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: Find the derivative of the function. f(0) = cos(0²) f'(0) = =

A: Given   f(thita) = Cos(thita2)