3] By using the properties of dot and cross product, prove the following: a) (ü x 7). v = 0. b) (w – i) x (w + 7) = 2(w x v). %3D c) W x (V x Ũ) = (w.Ū)V – (W.V)Ū. -

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A: Application of derivative

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A:

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A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: 27 Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has ...

A:

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A:

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A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

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A: To solve the following problem

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A: given problem is solved below in detail.

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

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A: A mountain climber wants to climb up a mountain that is 1 000 meters high. In the first hour, he cli...

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A: Since fxx >0 and D>0 then we get relative minima and if fxx <0 and D>0 then we get relat...

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Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal RuleGiven,I=∫02(5t3+7t)dt⇒a=0, b=2, and given n=4.we know that,h=b-anh=2-04h=24h=12=0.5....

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A: We have to find integral value in place of box And volume. Of solid torus. 

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A:

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

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A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

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Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

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Q: Question 5 dy in terms of x. de 5. Given that y =u² - 4 and u=x +1, find dy dy du hint du de d du dx...

A: Topic:- derivatives   

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Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

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A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

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Q: 1. 4x° sec .3 x dx cos Va dx Væ csc Va x2 -dr 2.

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A:

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

A:

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A: Topic = Integration

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A: We have properties of cot function to solve this problem

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A: Given: 10-xx=3  ..1

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A: We have to find the integral of the above function.