Calculate the integral.

$$\int x \operatorname { csch } \left( x ^ { 2 } \right) \operatorname { coth } \left( x ^ { 2 } \right) d x$$

How do you convert .625 into a percent and fraction?

Find an equation of the tangent line $y=\dfrac{\sqrt{x}}{x+1}$ to the curve at (4, 0.4).

Write each fraction as a decimal. $\frac{7}{12}$

Where is the caged bird's song heard?

Simplify $(3 \sqrt{5}-\sqrt{2})(\sqrt{5}+5 \sqrt{2})$. Show your work.

Find

$$f(g(x))$$

where $f(x)=x-2$ and $g(x)=x^2+8$.

Where is the function $f(x)=\left| x \right|$ not differentiable?

Crea conversaciones con el adjetivo demostrativo que corresponda, según el contexto. Sigue el modelo.

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estas servilletas

Calculate

$$\operatorname { div } ( \mathbf { F } )$$

and

$$\operatorname { curl } ( \mathbf { F } ).$$

$$\mathbf { F } = \left\langle x ^ { 3 } y , x z ^ { 2 } , y ^ { 2 } z \right\rangle$$

Prove that $\operatorname{comp}_{\mathbf{c}}(\mathbf{a}+\mathbf{b})=\operatorname{comp}_{\mathbf{c}} \mathbf{a}+\operatorname{comp}_{\mathbf{c}} \mathbf{b}$ for any nonzero vectors $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$.

Consider the definite integral $\int_{0}^{1}x^{4}\ dx.$

(c ) Take the limit of this expression for the sum as $n \rightarrow \infty,$ thereby finding the exact value of this integral.

Find two complex numbers $z_{1}$ and $z_{2}$ such that $\operatorname{Ln}\left(z_{1} / z_{2}\right) \neq \operatorname{Ln} z_{1}-\operatorname{Ln} z_{2}$.

Write each percent as a fraction in simplest form. 0.07%