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A triangular prism has mass 900g, length 20cm and the triangle bases are equilateral and with side length 6cm. Find the density(g/cm^3) of the material the prism is made of.

Answer:Density is mass/volume .: mass must be identified and volume calculated.Volume of triangular prism is calculated as prism length area of triangle.As triangles are equilateral and of side length 6cm ar...
OW
Answered by Oliver W. • Maths tutor
4540 Views

Using the Quotient rule, Find dy/dx given that y = sec(x)

d[sec(x)]/dx -->d[1/cos(x)] -->( [d[1].cos(x) - d[cos(x)].1] ) / [cos(x)]^2 -->[0.cos(x) - -sin(x).1]/ [cos(x)]^2 -->sin(x)/[cos(x)]^2 -->tan(x)sec(x) <-- Final Answer
RK
Answered by Rakib K. • Maths tutor
4680 Views

Solve... 8x + 2 = 3x - 8

To SOLVE this equation means find what x = ? To do this we need to we need to follow 3 steps. FIRST: get all the x's on one side (remember that all operations must be done to both sides of the = sign). SECON...
MP
Answered by Milly P. • Maths tutor
5388 Views

Simplify (2sin45 - tan45) / 4tan60

Here we are dealing with 2 concepts: trigonometry and surds.First i would make sure that the student is aware/can identify these trigonometry values.So sin45 = 1/√ 2, tan45 = 1, tan60 = √ 3Now i would insert...
SM
Answered by Safa M. • Maths tutor
11813 Views

Find the integral of y= e^3x / 1+e^x using calculus.

First, you use the substitution u=1+e x which implies that du=e x dx. Then, you factorise e 3x = e 2x e x and replace e x dx with du. Then by rearranging, e 2x = (u-1) 2 , so you are now ready to substitute ...
AI
Answered by Aliki I. • Maths tutor
19685 Views