4. Gus the ghost lives 8 blocks from the pumpkin patch, and ten blocks the haunted house. How many blocks does he walk from home and bo again to go get a pumpkin from the pumpkin patch and bring it home? that more or less than 20 blocks? Explain your answer. Estimate or Exact Answer? Circle one: Estimate Exact Solve

Find the derivatives of the functions \( f(x)=\tan ^{2}(x) \) and \( g(x)=\sec ^{2}(x) \) respectively. What can be said about the difference \( f-g \) ? Explain. Find the derivatives of the functions \( f(x)=\tan ^{2}(x) \) and \( g(x)=\sec ^{2}(x) \) respectively. \( f^{\prime}(x)=\square \) \( g^{\prime}(x)=\square \)

5) expressão \( \mathrm{P}(\mathrm{t})=\mathrm{K} \cdot 2^{0,05 t} \) fornece o número P de milhares de habitantes de uma cidade, em função do tempo \( t \), em anos. Se, em 1990, essa cidade tinha 300.000 habitantes, quantos habitantes, aproximadamente, espera-se que ela tenha no ano 2000 ?

2. Proponé dos formas diferentes de llevar \( 1 \frac{1}{2} \) (uno y medio) litros de jugo.

\( \int \frac { \cos x } { x } d x \)

Perform the operations on each polynomial. (4 Points Each) \#10: \( \left(-5 x^{3}+8 x^{2}+9 x-7\right)-\left(7 x^{3}-11 x^{2}+14 x-17\right) \) \#11: \( -3 x y\left(4 x^{3} y^{5}-9 x^{6} y^{9}\right) \) \#12: \( (5 x-3)\left(4 x^{2}-5 x+9\right) \) \#13: \( (2 x+9)(5 x-8) \)