Calculus Practice Questions - Page 1049

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• 21. shipping crates a square - based, box - shaped shipping crate is designed to have a volume of 16...

• d. find the second derivative of ( y=(2 x - 3)^{5} ). use chain rule\ne. find the equation of the no...

• c. find the coordinates of the stationary points on the curve ( y = x^{3}-6x^{2} ).\nd. find the sec...

• 19. minimum - surface - area box of all boxes with a square base and a volume of 8m³, which one has ...

• using only the values given in the table for the function, ( f(x)=x^{3}-3x - 2 ), what is the interv...

• use the table at the right to find an approximate value of ( f(x) ) at ( x = 9 ).\nuse ( x = 8 ) and...

• i. solve the differential equation $\\frac{dy}{dx}=x\\sqrt{1 + x^{2}}$ if $y = - 2$ when $x = 0$.

• ii. find the volume of the solid formed when ( y = - ( x ^ { 2 } - 4 ) ) is rotated about the ( y - ...

• g. use the substitution ( u = 5x + 4 ) to evaluate the integral ( int 10x + 11 \frac{dx}{sqrt{5x + 4...

• g. use the substitution ( u = 5x + 4 ) to evaluate the integral ( int \frac{10x + 11}{sqrt{5x + 4}} ...

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