# Recent questions tagged graph

54
views
Recall that one construction of the weight matrix for a graph on data points $\{ x_i \}_{i=1}^n$ is to use the Gaussian kernel W_{ij} = \begin{cases} \exp(-\Vert x_i - ...
111
views
$$\int \frac{x}{x^{2}+4 x+5} d x$$
139
views
$$\begin{array}{l}200 \% \times 200 \%=? \\ \begin{array}{ll}\text { A. } 40 & \text { C. } 4 \\ \text { B. } 400 \% & \text { D. } 0.4 \%\end{array}\end{array}$$
71
views
Suppose that $$u$$ is continuous on $$[a, b]$$ and differentiable on $$(a, b)$$. Then there is a point $$\xi$$ in $$(a, b)$$ such thatu(b)-u(a)=u^{\prime}(\xi... 84 views 1 answers Find the derivative of the function $$f(x) = x^3-4x+8$$ from first principles 122 views 1 answers Why is graph of sequence discrete? 86 views 1 answers Evaluate the limit of $$f(x)=x^2-5x+6$$ as $$x$$ approaches $$3$$ 126 views 2 answers The selling price $$P$$ of an item is $$100-0.02 x$$ dollars, where $$x$$ is the number of items produced per day. If the cost $$C$$ of producing and selling $$x... 66 views 1 answers Evaluate: \( \frac{d y}{d x}$$ if $$y=x^{2}-\frac{1}{2 x^{3}}$$ 62 views 1 answers Differentiate $$f(x)$$ from first principles if $$f(x)=-2 x^{2}+3$$. 78 views 1 answers Sketched below is the graph of $$g(x)=-2 x^{3}-3 x^{2}+12 x+20=-(2 x-5)(x+2)^{2}$$$$\mathrm{A}$$ and $$\mathrm{T}$$ are turning points of $$g$$. A and $$\mathrm{... 66 views 1 answers Determine \( f^{\prime}(x)$$ from first principles if $$f(x)=-3 x^{2}$$.Determine, using the rules of differentiation:\[\frac{d y}{d x} \text { if } y=\frac{\sqrt{x}}{... 110 views 1 answers Explain why $$z1 \times z2 = (\bar{z1}\times z2 + z1 \times \bar{z2})/2$$ 140 views 1 answers What does $$5y – 1$$ mean in words? 119 views 1 answers If $$h(x)=\frac{x^{2}-1}{x+1}$$, find $$h^{-1}(x)$$ 168 views 1 answers explain this $$X_{i, j}^{t+1}=\left\{\begin{array}{ll}X_{i, j}^{t} \times \exp ^{\left(\frac{-h}{\times \times T}\right)}, & \text { if } R_{2}<S T \\ X_{i, j}^{t}+Q \ti... 135 views 1 answers Evaluate \( \sum_{k=7}^{17}(-2 k+14)$$ 97 views 0 answers Given: $$f(x)=5 x^{2}+6 x-7$$1. Solve for $$x$$ if $$f(x)=0$$ (correct to TWO decimal places).2. Hence, or otherwise, calculate the value of $$d$$ for which $$5 ... 185 views 1 answers What is a point of inflection? 200 views 0 answers From 30 to \( 90 \mathrm{~s}$$,\[\begin{aligned}a & =\frac{d v}{d t} \\& =\frac{d}{d t}(-0.5 t+45) \\& =-0.5 \mathrm{~m} / \mathrm{s}^{2}\end{aligned}Displacement,\[s=...
288
views
1 Determine $$f^{\prime}(x)$$ from first principles if it is given $$f(x)=x^2-5$$.2 Detcrmine $$\frac{d y}{d x}$$ if:2.1 $$y=3 x^3+6 x^2+x-4$$2.2 $$y x-y=2 x^2-2 x \quad ... 265 views 1 answers The value of \(y^{\prime} / x^{\prime}$$ in terms of the angle 0 is given by
332
views
What is $$1 \div 2 \times 1$$ ?
345
views
$$6 \div 2(1+2)=$$
237
views
$$\begin{array}{l}\text { If } x=5+2 \sqrt{6} \\ \text { Find } \sqrt{x}+\frac{1}{\sqrt{x}}\end{array}$$
277
views
Work out the value of $$x$$
665
views
Calculate the roots of the cubic equation $$x^3-8=0$$, show all working. Use latex.
416
views
How do you calculate the derivatives of trigonometric expressions?
282
views
How do I compute the derivatives of functions that are explicitly given with some formula?
253
views
On a graph, what is an x-coordinate?
409
views
Does the mass of the object affect the falling speed?
254
views
Suppose you are walking along the road and observe two cars. Car A starts from rest and travels along a straight road with a constant acceleration of 3 m/s2 until it reac...
353
views
The diagram below shows the graphs of $$f(x)=x^2-2$$ and $$h(x)=a x^2+b x+c$$. The turning point of $$h$$ is $$Q(-1 ; 4) . \mathrm{R}$$ lies on $$f(x)$$ and QR is paralle...
426
views
A certain company sells $$x$$ units of a product. Its profit in rands is given by: $$P(x)=-3(x-17)^2+560$$.Write down the number of units that must be sold to earn a maxi...
342
views
Given: the graph of $$k(x)=-x^2+3 x+10$$ with turning point at $$D$$. The graph of the straight line $$h(x)=m x+c$$ passing through points $$B$$ and $$C$$ is also shown. ...
284
views
The sketch shows the graph defined by $$f(x)=a x^2+b x+c$$. Which of the following statements $$(\boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C}$$ or $$\boldsymbol{D})$$ i...
268
views
Give the range and domain of the following graph.
280
views
Determine the equations of the graph: $$y=2^{x-p}+q$$
210
views
Calculate the values of $$g ; h ; i$$ in the equation below$$y=g \cdot h^x+i$$
391
views
Calculate the values of $$d ; e ; f$$ in the equation below$$y=d x^2+e x+f$$
234
views
Calculate the values of $$a; b; c$$ in the equation below $$y=\dfrac{a}{x-b}+c$$
516
views
The graph of $$f(x)=a x^2+b x+c$$ and the straight-line $$g(x)$$ are sketched below. A and B are the points of intersection of $$f$$ and $$g$$. A is also the turning poin...
218
views
The graphs of $$f(x)=-x^2+7 x+8$$ and $$g(x)=-3 x+24$$ are sketched below. A and B are the $$x$$-intercepts of $$f$$ and $$\mathrm{S}, \mathrm{T}$$ and $$\mathrm{R}$$ are...
230
views
The graphs of $$f(x)=c^x+d$$ and $$g(x)=\frac{a}{x+p}+q$$ are sketched below. The graph $$f$$ passes through the point $$B(2 ; 5)$$ and the two graphs intersect at \(A(0 ...
275
views
How do you find the equation of a parabola given its vertex and focus?
596
views
What is a limit of a function?
297
views
What is the domain and range of the function $y = \frac{1}{x}$?
What is the equation of the parabola with vertex at $(3,-2)$ and directrix $y=-1$?
What is the equation of the circle with center $(5,3)$ and radius 8?