A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of different sizes. If the edges of two smaller cubes are 6 cm. and 8 cm., what is the edge of the third smaller cube?" 16 cm. 12 cm. 14 cm. 10 cm.

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A: ∫y-2+1dyLet u=y-2.=∫u+1duLet v=u+1=∫v· 2v-1dv=2·∫vv-1dv=2·∫ v32-vdv=2∫…

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A: To find out the integration.

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

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Q: Activity Test your understanding. Write TRUE on the space provided if the statement is correct and…

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A: The function f(x)=4cos(x) centered at the point a=π4

Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

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A: We need to use the approximated formula of area of the respective methods.

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Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

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Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

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Q: Find the Gauss quadrature rule for f(x)dx z wof(xo) + wif(x1) + wzf(x2). Nodes: Xo = X1 = X2 =…

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