Use the law of cosines to determine the length x in each figure. Leave your answers in terms of radicals. (a) 8 cm 60 15 cm

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A: To find the quadratic surface whose traces are parabola(x=k), parabola(y=k) and hyperbola(z=k).

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A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

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A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: complete

A: We will solve the integration.

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A: We can solve this as follows:

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A: The final answer is rounded off to 2 decimal places.

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Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

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Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

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A: Given problem:-

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A: Required area is…

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A: This question can be solved using the concept of relation between price,demand and revenue.

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A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A:

Q: give

A: We will solve the integration.

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1