NBT Toets 4

\(\sqrt{4x^{16}}\)=

Die grafiek van \(y=2^x\) word eers in die \(y\)-as, en die resultaat in die lyn \(y=x\) gereflekteer. Die grafiek wat so ontstaan is \(y=\) The graph of \(y=2^x\)is first reflected in the line \(y\)-axis, and the result in the line \(y=x\) . The graph that is formed is \(y=\)

Die waardes van/ The values of \(x\) waarvoor / for which\(logx \leq 0\)

Watter van die volgende reekse konvergeer: Which of the following will converge:

'n Boom is 2 m hoog. Dit groei elke jaar \(\frac{3}{4}\) van die vorige jaar se hoogte. Wat is die hoogste wat dit kan word? A tree is 2 m high. It grows each year with \(\frac{3}{4}\) of the previous year's length. What is the highest that it can become?

Beskou die ry:/ Determine the sequence: 1; 2; 3; 4; 5; 8; ... Die 30'ste term is:/ The 30'th term will be:

Vir watter waardes van \(x\) sal die reeks \(1+\frac{1+x}{2}+\frac{\left( 1 + x \right)^{2}}{4}\)+⋯ konvergeer: For which values of \(x\) will the series \(1+\frac{1+x}{2}+\frac{\left( 1 + x \right)^{2}}{4}\)+⋯ converge::

Sannie spaar elke maand \(x\) rand in 'n rekening, rentekoers \(i\).p.j, maandeliks. Sy doen dit vir 25 jaar. Daarna los sy die geld in die rekening vir 'n verdere 5 jaar. 'n Formule waarmee die waarde van die rekening bepaal kan word, is Sannie saves \(x\) rand in an account every month, interest rate \(i\), p.j, monthly. She has been doing this for 25 years. Then she leaves the money in the account for another 5 years. A formula for determining the value of the account is

Bepaal die waarde van/ Determine the value of \(\sum\limits_{k=2}^{10} (5k-2)\)

Skryf die volgende in sigma notasie: 6+3+0+⋯ vir \(n\) terme. Write the following in sigma notation: 6+3+0+⋯ vir \(n\) terms.

Watter stelling is onwaar:/ Which statement is not true:

Die identiteit \(\frac{cos2x}{(cosx+sinx)^3}=\frac{cosx-sinx}{sin2x}\) sal ongefinieerd wees in die interval \(-90^\circ \leq x\leq 90^\circ\) Theidentity \(\frac{cos2x}{(cosx+sinx)^3}=\frac{cosx-sinx}{sin2x}\) will be undefined in the interval \(-90^\circ \leq x\leq 90^\circ\)

Hoeveel oplossings sal die vergelyking \(2sinx.cosx=\frac{1}{2}\) in die interval \(-90^\circ \leq x\leq 90^\circ\) hê? How many solutions will the equation \(2sinx.cosx=\frac{1}{2}\) have in the interval \(-90^\circ \leq x\leq 90^\circ\) ?

Watter van die volgende is twee moontlike oplossings van \(sin^2x-cos^2x=\frac{1}{2}\) Which of the following are two possible solutions of \(sin^2x-cos^2x=\frac{1}{2}\)

Bepaal die waarde van/ Determine the value of \(sin195^\circ\)

As \(sin12°cos12°=\frac{2}{5}\) , dan is tan24°= If\(sin12°cos12°=\frac{2}{5}\) , then tan24°=

As tanθ=0,75 en cosθ<0, bepaal die waarde van sin2θ. Iftanθ=0,75 andcosθ<0,determine the value of sin2θ.

Bereken/ Calculate QR

99 Getalle se gemiddeld is 101. As 90 van hierdie getalle se gemiddeld 100 is, wat is die gemiddeld van die ander 9 getalle? The average of 99 numbers is 101. If 90 of these numbers' average is 100, what is the average of the other 9 numbers?

Die grafieke \(y=f(x)\) en \(y=g(x)\) sny by \(A(\frac{-3}{2};\frac{-9}{4})\) en B(2;3). Dit sny die asse soos aangetoon. Vir watter waardes van \(x\) sal \(f(x).g(x)≤0\) ? The graphs \(y=f(x)\) and\(y=g(x)\) intersect at \(A(\frac{-3}{2};\frac{-9}{4})\) and B(2;3). It cuts the axes as shown. For which values of \(x\) will \(f(x).g(x)≤0\) ?