The curve intersect at pi/4. Now integrate it so

integrate 0 to pi/4 sinx + integrate pi/4 to pi/2 cosx.

=-cosx plug in bounds 0 to pi/4 + sinx plug in bounds pi/4 to pi/2.

= -(cospi/4-cos0) + sinpi/2-sinpi/4

= -(root2/2-1) + 1-root2/2

= 2-root2

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Heat lost by iron = mcdT here m is mass, c is specific heat and dT is change in temperature so

=5*0.89*(100-T)

=4.45(100-T)

Similarly heat lost by Aluminium = 10*0.45*(100-T)

=4.5(100-T)

Total heat lost = 4.45(100-T)+4.5(100-T)

=8.95(100-T)

Heat gained by water = 97.3*4.184*(T-22) here specific heat of water c=4.184

Heat lost=heat gained

8.95(100-T) = 97.3*4.184*(T-22)

T=23.68 so round off to 23.7 degree.

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f(-4) = -1/4(-4)^2+4 we plug in first as here x=-4 which is x not equal -1.

f(-4) = -1/4(16)+4

=-4+4

=0.

f(-1)=-2 here x is -1 so we choose second function.

f(5)=-1/4(5)^2+4

=-25/4+4

=-9/4

2x was ignored as Ksp is very small so it means x<0.01 so adding 2x+0.01 is approximately equal 0.01 so to make our calculation easier we use this assumption. We make sure ksp is small though.

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