Assume and y are functions of a third variable t. If xy = 30 and 0-6 0-30/5/20 O-12 0- 10, find dt when x = 5

Q: Find the area of the region bounded above by y = x2 + 8 and below by y = 4. 10- 4 2 X -10 8 6 4/-2…

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the line integral F. dr where F(x, y, z) = x²y i+ x³ j+e² tan-¹ z k and C is the curve of…

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Q: Write the following sets in set-builder notation. There may be more than one correct way to do it.…

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: x + 2 lim x2x²-4

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Q: (b) Find the intervals of increase or decrease of ƒ.

A: Solve the following

Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: o lim x-0 x² - sin²2x 2 x 2

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Q: Given that lim f(x) = 9 lim g(x) = -2 lim_h(x) = 0, X→3 X→3 X-3 find the limits, if they exist. (If…

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Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: nin 3.- Make a diagram and calculate the distance from point 0(0, 0, 0) à line r4y2z =8 o punto Make…

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Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: Evaluate the surface integral f F.dS where F(x, y, z) = yz i+zxj+xy k and S is the S surface z =…

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Q: √x²-3-1 x - 2 A. lim x-2 tet B. lim to et +1 C. lim x→1 x² + x - 2 x² - 1

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Q: Find an equation for the line that passes through the points (6,-6) and (-4,-4)

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Q: (8) IF: A=1+j+ k, B = i +2j- 3k Find A-B, A.B 2A.3B, A B, (A+B) (A-B) .

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Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: √=x if x1 Let f(x)=₂x

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Q: solve your given pair of complex numbers placing them on an Argand diagram A = 2 +j3 B = 3tj2 C =…

A: Given :- A = 2+j3 B = 3+j2 C= 3-j2 D=1-J2 E = -3+j2 F= -2+j1 Find:- a) X=A+F b)Y=F-A

Q: 3. g(x) = (2x - 1)³

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Q: 6. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: does xy=4 describe y as a function of x?

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Q: Suppose that a product currently sells for $24, with the price increasing at the rate of $5 per…

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Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: 2. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

A: To find out the rate of decreasing of temperature.

Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Calculus I

A: use the table and differentiation to find the correct answer.

Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

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Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: b) Suppose to i that and V х-у Calculate the x and and y by and Jacobian ð (u, v) 2 (x, y) hence…

A: Suppose that x and y are related to u and v by…

Q: Higher Partial Derivative d'u ôxôxôy 4. _x³y² u 2 yz

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Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: Find the indicated partial derivative. f(x, y, z)=euz²; fzyz fxyz(x, y, z) =

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Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

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Q: Problem 1. A rectangular enclosure is to be built next to a river. There will be no fence on the…

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Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: Find f'(a) using the definition of the derivative at a point for f(x) = 1 VI at a = 7.

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Q: Q.1.A: Find the domain and range of each function (choose only two) 3. G(t) = 6 1. F(x) = 1-√√x 2.…

A: Here we have to find the domain and range of the function

Q: Solve this question yey = 1

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Q: what is Newton's method A. used for? B. Use Newton's the solutions to arctan(x) = x² − 3 method (3…

A: Newton's method for solving equations is another numerical method for solving an equation f(x) = 0.…

Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: Find all the local maxima, local minima, and saddle points of the function f(x,y) = x² + xy + y² +…

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Q: 5. Find the volume of the solid generated by revolving about the x-axis the region bounded by the…

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Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

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