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Question Number 9717 by konen last updated on 28/Dec/16 $$\frac{\mathrm{0}.\mathrm{b}\overset{−} {\mathrm{a}}+\mathrm{0}.\mathrm{a}\overset{−} {\mathrm{b}}}{\frac{\mathrm{1}}{\mathrm{ab}−\mathrm{ba}}}=\mathrm{3}\:\Rightarrow\:\mathrm{a}^{\mathrm{2}\:} −\:\mathrm{b}^{\mathrm{2}\:} =? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

P-intersection-point-of-bimedians-in-ABCD-convexe-quadrilateral-with-a-b-c-d-sides-e-f-diagonals-E-point-in-plane-x-y-z-t-distances-from-E-to-A-B-C-D-Prove-that-1-4-a-2-b-2-c-2-e-2-f-2-

Question Number 140785 by mathdanisur last updated on 12/May/21 $${P}-{intersection}\:{point}\:{of}\:{bimedians}\:{in} \\ $$$${ABCD}-{convexe}\:{quadrilateral}\:{with} \\ $$$${a};{b};{c};{d}-{sides},\:{e};{f}-{diagonals}, \\ $$$${E}-{point}\:{in}\:{plane},\:{x};{y};{z};{t}-{distances} \\ $$$${from},\:{E}-{to}\:{A};{B};{C};{D}.\:{Prove}\:{that}… \\ $$$$\frac{\mathrm{1}}{\mathrm{4}}\left({a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} +{e}^{\mathrm{2}} +{f}^{\mathrm{2}} \right)+\mathrm{4}{PE}^{\mathrm{2}}…

Vector-A-of-magnitude-20-unit-lies-in-the-direction-45-S-of-E-while-vector-B-of-magnitude-30-units-in-the-direction-60-W-of-N-calculate-the-scaler-product-A-B-

Question Number 9715 by tawakalitu last updated on 28/Dec/16 $$\mathrm{Vector}\:\overset{\rightarrow} {\mathrm{A}}\:\mathrm{of}\:\mathrm{magnitude}\:\mathrm{20}\:\mathrm{unit},\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\: \\ $$$$\mathrm{direction}\:\mathrm{45}°\mathrm{S}\:\mathrm{of}\:\mathrm{E}\:\mathrm{while}\:\mathrm{vector}\:\overset{\rightarrow} {\mathrm{B}}\:\mathrm{of}\:\mathrm{magnitude} \\ $$$$\mathrm{30}\:\mathrm{units}\:\mathrm{in}\:\mathrm{the}\:\mathrm{direction}\:\mathrm{60}°\mathrm{W}\:\mathrm{of}\:\mathrm{N}. \\ $$$$\mathrm{calculate}\:\mathrm{the}\:\mathrm{scaler}\:\mathrm{product}\:\:\overset{\rightarrow} {\mathrm{A}}\centerdot\overset{\rightarrow} {\mathrm{B}} \\ $$ Answered by sandy_suhendra…

Let-the-i-j-plane-be-the-complex-plane-with-basic-operations-ij-i-ji-j-i-2-1-j-2-1-z-r-xi-yj-w-s-pi-qj-zw-rs-pri-qrj-sxi-px-qxi-syj-pyj-qy-rs-px-qy-pr-sx-qx-i-

Question Number 140784 by ajfour last updated on 12/May/21 $${Let}\:{the}\:{i}-{j}\:{plane}\:{be}\:{the}\:{complex} \\ $$$$\:{plane},\:{with}\:{basic}\:{operations} \\ $$$$\:\:{ij}=−{i} \\ $$$$\:\:{ji}=−{j} \\ $$$$\:\:{i}^{\mathrm{2}} =−\mathrm{1} \\ $$$$\:\:{j}^{\mathrm{2}} =−\mathrm{1} \\ $$$${z}={r}+{xi}+{yj}\:\:\:\:{w}={s}+{pi}+{qj} \\…

Question-75248

Question Number 75248 by cesar.marval.larez@gmail.com last updated on 08/Dec/19 Commented by mathmax by abdo last updated on 14/Dec/19 $$\frac{{d}}{{dx}}\left(\frac{{e}^{{x}} }{\mathrm{1}+{x}}\right)\:=\frac{{e}^{{x}} \left(\mathrm{1}+{x}\right)−{e}^{{x}} ×\mathrm{1}}{\left(\mathrm{1}+\mathrm{x}\right)^{\mathrm{2}} }\:=\frac{\mathrm{xe}^{\mathrm{x}} }{\left(\mathrm{1}+\mathrm{x}\right)^{\mathrm{2}} }\:\Rightarrow…

A-vertical-pole-3m-high-is-2m-south-of-a-wall-which-runs-directly-east-and-west-The-sun-is-south-west-at-an-elevation-of-35-Find-to-the-nearest-centimeter-the-height-of-the-shadow-of-the-pole-on-th

Question Number 9709 by tawakalitu last updated on 28/Dec/16 $$\mathrm{A}\:\mathrm{vertical}\:\mathrm{pole}\:\mathrm{3m}\:\mathrm{high}\:\mathrm{is}\:\mathrm{2m}\:\mathrm{south}\:\mathrm{of}\:\mathrm{a}\:\mathrm{wall} \\ $$$$\mathrm{which}\:\mathrm{runs}\:\mathrm{directly}\:\mathrm{east}\:\mathrm{and}\:\mathrm{west}.\:\mathrm{The}\:\mathrm{sun} \\ $$$$\mathrm{is}\:\mathrm{south}\:\mathrm{west}\:\mathrm{at}\:\mathrm{an}\:\mathrm{elevation}\:\mathrm{of}\:\mathrm{35}°. \\ $$$$\mathrm{Find}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{centimeter}\:\mathrm{the}\:\mathrm{height}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{shadow}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pole}\:\mathrm{on}\:\mathrm{the}\:\mathrm{wall}. \\ $$ Answered by mrW last updated…

Find-th-greatest-coefficients-in-the-expansion-of-3a-5b-18-2-If-three-consecutive-coefficient-of-1-x-n-are-28-56-70-find-the-value-of-n-

Question Number 75242 by peter frank last updated on 08/Dec/19 $${Find}\:{th}\:{greatest}\:{coefficients} \\ $$$${in}\:{the}\:{expansion}\:{of} \\ $$$$\left(\mathrm{3}{a}+\mathrm{5}{b}\right)^{\mathrm{18}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right){If}\:{three}\:{consecutive}\: \\ $$$${coefficient}\:{of}\:\left(\mathrm{1}+{x}\right)^{{n}} \:{are}\:\mathrm{28},\mathrm{56},\mathrm{70}. \\ $$$${find}\:{the}\:{value}\:{of}\:{n} \\…