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Question Number 217506    Answers: 1   Comments: 7

Question Number 217504    Answers: 0   Comments: 1

A 20% load is connected to the secondary coil of a transformer which has Nₚ to Nₛ ratio of 1/4 calculate the maximum current through the load if the input Vᵣₘₛ is 120V A 34 A B 24 A C 480 A D 480√2 A

$$ \\ $$A 20% load is connected to the secondary coil of a transformer which has Nₚ to Nₛ ratio of 1/4 calculate the maximum current through the load if the input Vᵣₘₛ is 120V A 34 A B 24 A C 480 A D 480√2 A

Question Number 217495    Answers: 1   Comments: 0

Question Number 217489    Answers: 0   Comments: 0

Question Number 217482    Answers: 0   Comments: 0

( n(√((n+1))) +(n+1)(√n) )^n +( n(√((n+1))) −(n+1)(√n) )^n =n^2 (n+1)(n+3)

$$\left(\:{n}\sqrt{\left({n}+\mathrm{1}\right)}\:+\left({n}+\mathrm{1}\right)\sqrt{{n}}\:\:\right)^{{n}} +\left(\:{n}\sqrt{\left({n}+\mathrm{1}\right)}\:−\left({n}+\mathrm{1}\right)\sqrt{{n}}\:\:\right)^{{n}} ={n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)\left({n}+\mathrm{3}\right) \\ $$

Question Number 217448    Answers: 3   Comments: 2

Solve for x: (1+(√2) )^x +(1−(√2) )^x =14

$${Solve}\:{for}\:{x}: \\ $$$$\left(\mathrm{1}+\sqrt{\mathrm{2}}\:\right)^{{x}} +\left(\mathrm{1}−\sqrt{\mathrm{2}}\:\right)^{{x}} =\mathrm{14} \\ $$

Question Number 217447    Answers: 1   Comments: 14

Question Number 217441    Answers: 2   Comments: 0

∫_0 ^1 ((ln^3 (1−x))/x^3 ) dx=?

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}^{\mathrm{3}} \:\left(\mathrm{1}−{x}\right)}{{x}^{\mathrm{3}} }\:{dx}=? \\ $$

Question Number 217438    Answers: 0   Comments: 0

Question Number 217431    Answers: 2   Comments: 0

Question Number 217425    Answers: 2   Comments: 0

A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?

A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?

Question Number 217424    Answers: 2   Comments: 0

The angle of elevation of the top of a building 24 m high is observed from the top and from the bottom of a vertical ladder, and found to be 45° and 60° respectively. Find the height of the ladder.

The angle of elevation of the top of a building 24 m high is observed from the top and from the bottom of a vertical ladder, and found to be 45° and 60° respectively. Find the height of the ladder.

Question Number 217423    Answers: 1   Comments: 0

Question Number 217417    Answers: 2   Comments: 1

Question Number 217416    Answers: 0   Comments: 0

Question Number 217408    Answers: 1   Comments: 0

l∫sin 7xdx

$${l}\int\mathrm{sin}\:\mathrm{7}{xdx} \\ $$

Question Number 217402    Answers: 3   Comments: 0

Question Number 217389    Answers: 2   Comments: 0

Resolver ((∣x − 1∣ + ∣x + 2∣)/(∣x∣ − 1)) ≤ 3

$$\mathrm{Resolver} \\ $$$$\frac{\mid{x}\:−\:\mathrm{1}\mid\:+\:\mid{x}\:+\:\mathrm{2}\mid}{\mid{x}\mid\:−\:\mathrm{1}}\:\leq\:\mathrm{3} \\ $$

Question Number 217385    Answers: 0   Comments: 3

a,b,c∈R a^2 +b^2 +c^2 =9 a^3 +b^3 +c^3 =21 ab+bc+ca=?

$${a},{b},{c}\in\mathbb{R} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{9} \\ $$$${a}^{\mathrm{3}} +{b}^{\mathrm{3}} +{c}^{\mathrm{3}} =\mathrm{21} \\ $$$${ab}+{bc}+{ca}=? \\ $$

Question Number 217384    Answers: 1   Comments: 0

Prove that sin351° = − (√(((4 − (√(10 + 2(√5))))/8) .))

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{sin351}°\:=\:−\:\sqrt{\frac{\mathrm{4}\:−\:\sqrt{\mathrm{10}\:+\:\mathrm{2}\sqrt{\mathrm{5}}}}{\mathrm{8}}\:.} \\ $$

Question Number 217383    Answers: 1   Comments: 0

show that the intergral ∫_1 ^∞ (1/x^p )dx converges for p>1 find it value

$$\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{intergral} \\ $$$$\int_{\mathrm{1}} ^{\infty} \frac{\mathrm{1}}{\mathrm{x}^{\mathrm{p}} }\mathrm{dx}\:\:\mathrm{converges}\:\mathrm{for}\:\mathrm{p}>\mathrm{1} \\ $$$$\:\mathrm{find}\:\mathrm{it}\:\mathrm{value} \\ $$

Question Number 217381    Answers: 1   Comments: 4

Let a,b,c be real numbers satisfying the equations (1) a +b + c= 4 (2) a^3 + b^3 + c^3 = 34 Find ab+bc+ca

$$\mathrm{Let}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{be}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{satisfying} \\ $$$$\:\mathrm{the}\:\mathrm{equations} \\ $$$$\left(\mathrm{1}\right)\:\:\mathrm{a}\:+\mathrm{b}\:+\:\mathrm{c}=\:\mathrm{4} \\ $$$$\left(\mathrm{2}\right)\:\:\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{c}^{\mathrm{3}} =\:\mathrm{34} \\ $$$$\mathrm{Find}\:\mathrm{ab}+\mathrm{bc}+\mathrm{ca} \\ $$

Question Number 217378    Answers: 0   Comments: 0

Whether the following seriesconverge: determinant (((Σ_(n=1) ^∞ (−1)^n [1+n ln(1−(2/(2n+1)))])))

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Whether}\:\mathrm{the}\:\mathrm{following}\: \\ $$$$\mathrm{seriesconverge}: \\ $$$$\begin{array}{|c|}{\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}} \left[\mathrm{1}+{n}\:\mathrm{ln}\left(\mathrm{1}−\frac{\mathrm{2}}{\mathrm{2}{n}+\mathrm{1}}\right)\right]}\\\hline\end{array} \\ $$

Question Number 217377    Answers: 2   Comments: 0

Let x,y,z be real numbers satisfying the equations x + y + z= 7 xy + yz + zx=10 xyz=6 Find the value of x^3 + y^3 + z^3

$$\mathrm{Let}\:\mathrm{x},\mathrm{y},\mathrm{z}\:\mathrm{be}\:\mathrm{real}\:\mathrm{numbers}\:\mathrm{satisfying}\:\mathrm{the}\:\mathrm{equations} \\ $$$$\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{z}=\:\mathrm{7} \\ $$$$\mathrm{xy}\:+\:\mathrm{yz}\:+\:\mathrm{zx}=\mathrm{10} \\ $$$$\mathrm{xyz}=\mathrm{6} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{x}^{\mathrm{3}} \:+\:\mathrm{y}^{\mathrm{3}} \:+\:\mathrm{z}^{\mathrm{3}} \\ $$

Question Number 217359    Answers: 2   Comments: 0

Find all three-digit numbers such that when the number is divided by the sum of its digits the quotient is 7 and the remainder is 5.

$$\mathrm{Find}\:\mathrm{all}\:\mathrm{three}-\mathrm{digit}\:\mathrm{numbers}\:\mathrm{such}\:\mathrm{that}\:\mathrm{when}\:\mathrm{the}\:\mathrm{number}\:\mathrm{is} \\ $$$$\mathrm{divided}\:\mathrm{by}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its}\:\mathrm{digits}\:\mathrm{the}\:\mathrm{quotient}\:\mathrm{is}\:\mathrm{7}\:\mathrm{and}\:\mathrm{the}\: \\ $$$$\mathrm{remainder}\:\mathrm{is}\:\mathrm{5}. \\ $$

Question Number 217358    Answers: 1   Comments: 0

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