' V Vortuig het 'n enjin massa van \( \frac{1}{5} \) van sy totale massa. Die massa van sy wiele is 120 kg . Die oorblywende massa van die voertuig is 900 kg . Wat is die massa van die voertuig se enjin?

Question 1 (1.1) The following theorem is called the cancellation law of vector addition: If \( x, y \), and \( z \) are vectors in a vector space \( V \) such that \( x+z=y+z \). Then \( x=y \). (a) Suppose that \( V \) is a vector space over a field \( F \). What do we mean by the zero vector of \( V \) ? (b) Use the cancellation law to prove that the zero vector in \( V \) is unique. (1.2) Let \( V=\mathbb{R}^{2}, \alpha \in \mathbb{R} \) and define: Prove that \( W \) is a subspace of \( V \). (1.3) Use the Lagrange interpolation formula to construct the polynomial of smallest degree whose graph contains the points (1,2), (2,1) and (3,2). Show the details of your calculations.

Previous Problem Problem List Next Problem (1 point) Find all exact solutions on the interval \( 0 \leq \theta<2 \pi \). If there is more than one answer, enter them as a comma separated list. \( 2 \sin (2 \theta)=-1 \) \( \theta=\square \) help (angles)

Use a calculator to find a decimal approximation for the following trigonometric function. \( \cot 236^{\circ} 6^{\prime} \) \( \cot 236^{\circ} 6^{\prime} \approx \square \) (Simplify your answer. Type an integer or a decimal. Round to eight decimal places as needed.)

Andelen 18-4ringar som tar körkort för bil ökade frân \( 30,4 \% \) âr 2011 \( 34.8 \% \) âr 2015 . Med hur mánga procent har andelen ökat?

Many economists argue that real GDP is not a good measure of economic well being: as it includes the taxes we pay to the federal government. as it excludes the environmental quality of life. as it excludes social security payments made to retirees. as it overvalues the increases in nonmarket transactions.