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Solve: 1/3 x = 1/2 x + (− 4)

(1/3)x=(1/2)x+(-4) (1/3)x=(1/2)x-4(1/3)x - (1/2x) = -4 (1/3)(x/1) - (1/2x)(x/1) = -4. => x/3 - x/2 = -4Find common denominator: here 62x/6 - 3x/6 = -4-x/6 = -4 -x = -24x = 24 Check: (1/3) * 24 = (1/2) * 2...
IB
Answered by Iulia B. • Maths tutor
2840 Views

What is the meaning of vector cross product?

A binary operation between two vectors it results in another vector perpendicular to the two input ones meaning it is the normal of the plane containing the two vectors involved in the operation. An advanced...
AM
Answered by A M S. • Maths tutor
1652 Views

f(x)=(2x+1)^0.5 for x >-0.5. Find f(12) and f'(12)

f(12)=((2 12)+1)^0.5=25^0.5=5 (simply substitute 12 into the original function)To find f'(12) we need to first find the derivative of the function and then we can substitute 12 in like we did before.f'(x)=0....
DR
Answered by Daniel R. • Maths tutor
1708 Views

Find the cube roots of i in the form a+bi, where a, b are real numbers.

Write i in terms of an exponential, so i = e^(i pi/2).Then the three roots of i are:z_1 = [e^(i pi/2)]^(1/3) = e^(i pi/6) = sqrt(3)/2 + i/2z_2 = e^[i (pi/6 + 2pi/3)] = e^(i 5pi/6) = -sqrt(3)/2 + i/2z_3 = e^[...
JC
Answered by Joanna C. • Maths tutor
4524 Views

y = e^(e^x). Show that the curve has no maxima or minima for any real number.

dy/dx = (e^x)*(e^(e^x)) which is never equal to zero so it does not have any maximum or minimum.
PM
Answered by Pablo M. • Maths tutor
1720 Views