Recent questions tagged goclasses-cs-dpp-day-278

Let $y$ be defined implicitly by $x^2y+y^3=10$. If the curve passes through $(1,2)$, what is the value of $\dfrac{d^2y}{dx^2}$ at $(1,2)$?$-\dfrac{660}{2197}$ $-\dfrac{52...

Let $f$ be differentiable near $x=2$, with $f(2)=1$ and $f'(2)=3$. Define $A(x)=\ln(4+(f(x))^2)$. Using tangent line approximation at $x=2$, what is a reasonable estimate...

Let $F$ be continuous on $[0,15]$, and suppose$$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x&0&2&4&7&9&12&15\\ \hline F(x)&5&1&4&-2&3&0&6\\ \hline \end{array}$$For $0\le x\le...

The graph below is the graph of $f''$, where $f$ is twice differentiable on $[0,6]$. Also, $f'(0)=-2$. The signed areas between the graph of $f''$ and the $x$-axis are: f...

The graph below is the graph of $f'$, where $f$ is twice differentiable. Which of the following statements must be true?$f$ has a local minimum at $x=-2$, no local extrem...

If G is a 3-regular, connected, simple, planar graph with 18 vertices, then, the number of regions in G are ?10382011

Which of the following graphs is self-complementary?$\mathrm{C}_6$$\mathrm{P}_4$$\mathrm{P}_5$None of the above

Every graph has - - number of odd degree vertices.EvenZeroOddCannot say

Let e be the number of edges, v be the number of nodes and r be the number of regions of a planar graph. Then which of the following inequalities hold true?$3 e<2 r$$3 \m...

Which of the following graphs is NOT Hamiltonian?$K_n$$C_n$, cycle on $n$ vertices.$\mathrm{K}_{10,9}$.None of the above.