Escribe falso o verdadero Gottfried Leibniz desarrolló el cálculo diferencial de forma independiente a lsaac Newton. El cálculo diferencial se utiliza principalmente para calcular áreas y volúmenes. Comoleta la tabla

c) \( \lim _{x \rightarrow-3} \sqrt{x^{2}+6 x-7} \)

The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 18 units long. (Type an expression using \( x \) as the variable.) (c) The largest area the rectangle can have is \( \square \) square units. (Type an integer or a simplified fraction.)

You deposit \( \$ 4000 \) in an account earning \( 2 \% \) interest compounded continuously. How much will you have in the account in 10 years? \( \$ \)

Pythagoras to calculate the lengths of the unknown sides in the triangles. Leave irrational answers in the simplest surd form: 5.1 In \( \triangle \mathrm{ABC}, \hat{\mathrm{B}}=90^{\circ}, \mathrm{AC}=8 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm} \). Calculate the ler AB without using a calculator.

6. Simplify. \( \left(a^{-8}\right)^{-6} \)