Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= + 6ے لاے 4

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

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

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: Question 2. Consider the following linear programming problem. Min 7.505 + 9.00P s.t. 0.105 0.065 5.…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables S=x and…

Q: (P) In(x) dx

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Q: п Convert the point (p, 0, 0)=(3, 377) 6 expressions, or decimals to at least one decimal place. (x,…

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Q: Use spherical coordinates. Evaluate III z dv, where E lies between the spheres x² + y² + z² = 4 and…

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Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: Find the derivative of the function at the given point in the direction of A. f(x,y) = -6x-9y,…

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Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (1, 2, -1), u'(2) = (9, 1, 6), and v(t) = (t,…

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Q: Express the sequence {an} n = 1 as an equivalent sequence of the form {n}=4* n=1 {2n +5}=1 ∞ An…

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: The temperature in a hot tub is 103° and the room temperature is 75°. The water cools to 90° in 10…

A: Here we apply the Newton's law of cooling

Q: Find the distance from the point (4,-4,-5) to the line a(t) = (3, 1, − 4)t + (9,- 5,3)

A: Given equation of line:- a→t=3,1,-4t+9,-5,3

Q: x² 2 ,0sxs Find the length of the curve y=- 3√5 2

A: To find the length of the curve y=x22, 0≤x≤352.

Q: Use linear approximation to approximate √81.2 as follows. Let f(x) √. The equation of the tangent…

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Q: This was incorrect

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

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

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

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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: Consider the function f(x) Enter an antiderivative of f(x). Do not enter +c as part of your answer.…

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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: distance in between the point P(3, 1, 2) and the point Q(0, 4,

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Q: (a) Find the derivative. y = In(4x - dy dx (b) Find the derivative. y = ln ( 4x = dy dx 6) - 3 In(x)…

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², x = 1, and y = 0,…

A: V= 64π/5 For detail go through the solution

Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

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Q: The function f(x) = 1 + 8x + 128x7 has one local minimum and one local maximum. This function has a…

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Q: Find the slope at x = 3 on the graph of 2y - 4x = 9. (a) -4 (b) 2 (c) 10.5 (d) 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: The graph of a twice-differentiable function f is shown in

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Q: Find the interval(s) on which f(x) = 3-1-2x² - ³ is decreasing. 1¹. (-₁) 2 (-3¹) 4. (-∞, -3), (1,00)…

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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: pt X 00 DESU Calculus X sment_sessions/64209e199e1cd1005c185cf4?start=true 3. Aktiv Chemistry X N.…

A: Let x be length of the base and h be the height of rectangular container

Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: Let f(x) = −9+ 6x-x³. Find the open intervals on which f is increasing (decreasing). Then determine…

A: The function is given by fx = -9+6x-x3 To determine: The interval of increase or decrease and the…

Q: Let f be the function defined as follows. y = f(x) = √√√√5x + 6 (a) Find the differential of f. dy =…

A: A detailed solution is given below.

Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

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Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

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

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Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

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Q: Suppose 1900 square centimeters of material is available to make a box with a square base and an…

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

A: A function y=f(x) is said to be increasing in the interval (a,b) if for every x∈(a,b), f'(x)>0.…

Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=x² + xy + 2x + 5y…

A: Given function:- fx,y=x2+xy+2x+5y-3

Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=<x,y>=?…

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

A: f(x) = 250 We need to find f'(x)

Q: Find all the first order partial derivatives for the following function. f(xy) = 1 vx2 + y2 O A f Əx…

A: f(x,y)=1x2+y2f(x,y)=(x2+y2)-12 ∂ ∂x(xn)=nxn-1