Find the area of the following triangle T. The vertices of T are A(6,7,2), B(8,17,4), and C(6,8,3).

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Q: If lim x→0 a) f(x) x = 1 and lim x-0 lim g(x) x→0 g(x) – 2, evaluate: X b) lim x-0 g(x) f(x)

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

Q: QUESTION 10 Given a system model what is/are the dominant system characteristic root(s)? d³x d²x dt…

A: Please see the below picture for detailed solution.

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A: According to Bartleby Answering guideline, we can answer only first question in case of multiple…

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Q: The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rates of…

A: Given: The radius r of a circle is increasing at a rate of 7 centimeters per minute.

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Q: Find the distance, d, between the point S(3,5,5) and the plane 5x + 4y + 8z = 15.

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A: Given query is to solve indicated vector operation.

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A: Given function f( x ) = 6 - x

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Q: For the vectors u = (-9,0,5) and v= (1,4,-4), calculate proj,u and scalvu.

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Q: Find parametric equations for the line that passes through the point (−5, 5) and is perpendicular to…

A: Find parametric equations for the line that passes through the point (−5, 5) and is perpendicular to…

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Q: . If y = f(x² − 2x + 7) and ƒ '(10) = 2, determine dx at x = 3. Show your work.

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Q: Consider the function y = (− 2x +8)2. Using the values x = 7 and △x = 0.2, calculate △y − dy. Round…

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Q: Find the divergence of the vector field F. F(x, y) = 5x²i + 3y²j

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A: According to bartleby guidelines we supposed to do the first one of multiple qurstions kindly repost…

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Q: Find T, N, and K for the space curve r(t) = (12 sin t) i + (12 cos t) j+ 16t k.

A: As per guidelines we solve only first question if multiple questions are posted. Please repost the…

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Q: Find the derivative of the function. y = √√√x²-x² -X y' =

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Q: Let f(x): = X x +7° Find the values of x where f'(x) = 6. Give exact answers (not decimal…

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