All Tasks

Solving linear equation 1

Solve the linear equation by equivalent transformation. 7x + 22 = 71
 
# Unassigned

Training
7

Tangent and normal line of arccos

Let $f$ and $g$ be two differentiable functions in their domain, such that: $g(x)=-3\pi +2 \arccos(3f(x)+1)$, $f(1)=-\dfrac{1}{3}$ and $f^{\prime}(1)=\dfrac{2}{3}$. The reduced equation of the tangent line to the graph of $g$ at the point with abscissa $1$ is:
 
# Complements of differential calculus in real numbers

Training
13

Arctan normal line

At the point of intersection with the ordinate axis, an equation of the straight line normal to the graph of the function $g(x)=2\arctan(x-1)$ is
 
# Functions of one variable

Training
12

Arctan slope normal line

Consider the curve $g(x)=\frac{4\arctan(x+1)}{\pi}$ and the point $P(0,1)$. Find the slope of the normal line to the graph of $g$ at $P$.
 
# Functions of one variable

Learning
13

Identities & Algebraic expression_1

Simplfy the following expression: $A=(x-2)^2-x^2$ and then identify the correct statements
 
# Linear equations

Reasoning
9

Identities & Algebraic expression_2

Simplfy the following expression: $\frac{{(2x-3)}^2-4(x-2)(x+2)+x(x^2+15)-25}{x^2+3}$ and then identify the correct statements
 
# Unassigned

Reasoning
9