Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the exact answer.

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A: Given query is to find the revenue function.

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Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

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A: Question- Given the vector function. Calculates the principal normal vector N(t) when t=6.9 ?      

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A: Given problem:-

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Q: ,3.518) (542 n2

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Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

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A: Given: For (b), So, for 1 hr decrement in % is 26/4=6.5%. For (a), For 5 hr the change factor is 26...

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: This question can be solved using the concept of rate of change of physical quantities.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Let V represent the volume of a sphere with radiusr mm. Write an equation for V (in mm) in terms of ...

A: Please see the answer below.

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Q: 8. ye = In(xy) 9. (y – 5)2 = 8(x – 3) 10. 2x – xy? +y³ = 0 11. x2 - y? = 7

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Q: Perform the Integrations sin(r)dt

A: To Find : ∫sin(t)dt

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Q: Solve the following incqualities

A: The given inequality is: x2&gt;x3

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

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A: Given that Fx=cosx26Solution ; Antiderivative of Fx=∫ FxdxFx=cosx26=cos2x23=1+cosx23=181+cosx3=181+c...

Q: Consider the following equations. y  =  −x2 + 2x + 1 y  =  −x + 1 Sketch the region bounded by the g...

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A: The given curves are: x2+y2-4y=0 y=4-x

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A: Given:      f(x) = (2x + 4)/(5x + 2) 

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Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between...

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Q: if given f(x + h)- f(x) = h(7x2+6 xh + 5h2) C) 0 1) Find f' (x)= %3D 1) A) 7x2+ 6x B) 5x D) 7x2

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