dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3D dt (Type an expression using t as the variable.)

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Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation

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A: Function -  parabolic function    Option A is the correct option.

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Q: Factor the polynomial. (a) 6x – 7ry - 5y² (b) 9x² + 5x – 4

A: To factorize the given polynomials.

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A: Given query is to find the value of the limit.

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Q: 4-2 3dr +c %3D

A: Integration    False

Q: Explain why the integral ex* dx is convergent.

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Q: (-1)"n For positive integer n, let an = 3" Determine whether the sequence {a,} is convergent.

A: Determine whether the sequence is convergent ?

Q: Given Cost and Revenue functions C(q) = q° - 11q +54q+ 5000 and R(q) = - 3q + 2500q, at what product...

A: Given query is to find the production level where marginal revenue is $2260.

Q: (Round to the nearest thousandth as needed.)

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Q: For real number p, let f and g be defined by f(x)= e¬*x³ and g(x)=1/xP, respectively on [1,0). f(x) ...

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Q: Find dy of Using first principles

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: 11. A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, using all...

A: Given :- A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, usin...

Q: written

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Q: y = 2(1.5)" 6.75 The value of a is . Give answer as a number, not an ordered pair.

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Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

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Q: Considered the graph of Function a. -2 a. lim a (x) x--2- Choose

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Q: orth0gonal trajectories y^2=4x^2(1-kx)

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Q: 17, सिद्ध कीजिये कि बिन्दु a-2b+5c,2a 46+7c तथा 3 (UP 2001) समरेखीय हैं, जहाँ a. b. c असमतलीय सदिश ह...

A: Let, the vectors be, u = a - 2b + 5c  v = 2a - 4b + 7c  w = 3c   

Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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Q: Solve the differential equation: dy = (y2xex3-3x2y) dx Please also state which or the following wa...

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Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

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Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

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Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: The wheels on a skateboard have a diameter of 2.41 inches. If a skateboarder is traveling downhill a...

A: Topic  = Algebra

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Q: dy/dx% 3 sec 2xsec3y

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Q: Evaluate the integral : 8x²+10x-6 S (x–1)(x+1)? dx (x-1)(x+1)² +C

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Q: 2. 49

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Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

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Q: Given Cost and Revenue functions C(q) = q° - 8q + 51q+ 5000 and R(q) = - 3q +2400q, what is the marg...

A: Given query is to find the marginal profit on production level of 60 items.

Q: DEGREE

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Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

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Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

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Q: ²y – 2x) dx + (2y sin x - x³ + Iny) dy

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Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

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Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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