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##### Ath This Queston: pl9 0 18Use the figure to solve each inequality:(a) gx) zfx) (b) fx) > gx)10-8 -6 -4lideostes(a) The solution to glx) 2flx) is(Type your answer in interval notation )(b) The solution to flx) > g(x) is (Type your answer in interval notation )Enter vour answer In each of the answer boxes

ath This Queston: pl 9 0 18 Use the figure to solve each inequality: (a) gx) zfx) (b) fx) > gx) 10-8 -6 -4 lideos tes (a) The solution to glx) 2flx) is (Type your answer in interval notation ) (b) The solution to flx) > g(x) is (Type your answer in interval notation ) Enter vour answer In each...

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##### To achieve the maximum benefit for the heart when exercising the heart rate (in beats per minute_ should be in the target heart rate zone The lower limit of this zone is found by taking 70% of the difference between 220 and the age of the person: The upper limit is found by using 85% of the difference. Complete parts throughFind formulas for the upper and lower limits (U and L) as linear equations involving the age U= (Use integers or decimals for ay numbers in the equation. Do not factor )

To achieve the maximum benefit for the heart when exercising the heart rate (in beats per minute_ should be in the target heart rate zone The lower limit of this zone is found by taking 70% of the difference between 220 and the age of the person: The upper limit is found by using 85% of the differen...

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##### Find the derivalive of the function.f() = (2-t(2+/)-1 32+612 _2 F'(t) = Q+22 3n.62 _2 0"'(0) = (2+92 203_642_2 f "(t) = 2+ + 22_ 622_2 {'() = (2+412

Find the derivalive of the function. f() = (2-t(2+/)-1 32+612 _2 F'(t) = Q+22 3n.62 _2 0"'(0) = (2+92 203_642_2 f "(t) = 2+ + 22_ 622_2 {'() = (2+412...

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##### Problem 1 (30 points)Determine whether the following series converge Or diverge, and state why: If the series converges, find its sum _1 +3n 5t n=1_2 2n2 n=-2n _ 1 4n + 3 n=In2 +n - 2 n=2n(n + 1) (n + 3)2 n=11+0.3+0.09 + 0.027 +

Problem 1 (30 points) Determine whether the following series converge Or diverge, and state why: If the series converges, find its sum _ 1 +3n 5t n=1 _2 2n2 n=- 2n _ 1 4n + 3 n=I n2 +n - 2 n=2 n(n + 1) (n + 3)2 n=1 1+0.3+0.09 + 0.027 +...

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##### Giving test t0 # gruup Of students, tbe grades end Bender arerieed belowTobalMaleFemaleTotalIf one student i5 chosen at randomFind the probability that the student WAs NOT female that got

Giving test t0 # gruup Of students, tbe grades end Bender are rieed below Tobal Male Female Total If one student i5 chosen at random Find the probability that the student WAs NOT female that got...

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##### (8 % %) fvia 3t 48( .2 %F 6 1-4) (4)4 Ytbd ayt o4 1o4p3A {uabuvt #un a+ puy

(8 % %) fvia 3t 48( .2 %F 6 1-4) (4)4 Ytbd ayt o4 1o4p3A {uabuvt #un a+ puy...

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##### Calculate the amount of heat needed to boil 113. g of water (H,0), beginning from temperature Of 4.4 "C_ Round your answer t0 significant digits_ Also, sure your answer contains unit symbol:Oo

Calculate the amount of heat needed to boil 113. g of water (H,0), beginning from temperature Of 4.4 "C_ Round your answer t0 significant digits_ Also, sure your answer contains unit symbol: Oo...

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##### Use elementary row operations to reduce the given matrix to (a) row echelon form and (b) reduced row echelon form. $\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$

Use elementary row operations to reduce the given matrix to (a) row echelon form and (b) reduced row echelon form. $\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$...

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##### $s p^{3}$ Hybrid Orbitals and the Structure of Methane The bonding in the hydrogen molecule is fairly straightforward, but the situation is more complicated in organic molecules with tetravalent carbon atoms. Take methane, $\mathrm{CH}_{4}$, for instance. As we've seen, carbon has four valence electrons $\left(2 s^{2} 2 p^{2}\right)$ and forms four bonds. Because carbon uses two kinds of orbitals for bonding, $2 s$ and $2 p,$ we might expect methane to have two kinds of $\mathrm{C}$ - $\mat

$s p^{3}$ Hybrid Orbitals and the Structure of Methane The bonding in the hydrogen molecule is fairly straightforward, but the situation is more complicated in organic molecules with tetravalent carbon atoms. Take methane, $\mathrm{CH}_{4}$, for instance. As we've seen, carbon has four valence ...

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##### Dry the combined dichloromethane extracts with anhydrous sodium sulfate. Then decant this dried solution into small, tared beaker equipped with boiling chip. Rinse the sodium sulfate once with dditional dichloromethane ad add this rinse t0 the tared beaker. Remove the dichloromethane by evaporation in the sand bath to obtain Product A_ This product is sufficiently pure as isolated to allow for experimental yield calculation and characterizationTransfer the aqucous phase from the separatory funne

Dry the combined dichloromethane extracts with anhydrous sodium sulfate. Then decant this dried solution into small, tared beaker equipped with boiling chip. Rinse the sodium sulfate once with dditional dichloromethane ad add this rinse t0 the tared beaker. Remove the dichloromethane by evaporation ...

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##### Use partial fractions to find the sum of each series. $$ \sum_{n=1}^{\infty} \frac{4}{(4 n-3)(4 n+1)} $$

Use partial fractions to find the sum of each series. $$ \sum_{n=1}^{\infty} \frac{4}{(4 n-3)(4 n+1)} $$...

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##### Read the following scenario and indicate the type ofvalidity in the scenario.Explain your answer: (i) Content validity (ii) Criterionvalidity (concurrent validity) (iii) Criterion Validity (predictivevalidity) (iv) Construct validityc) A successful score on the College Algebra examination may beused in place of taking a college algebra course. Studentscompleting a college algebra course are administered the CLEPCollege Algebra examination. If there is a strong relationship(correlation) between t

Read the following scenario and indicate the type of validity in the scenario. Explain your answer: (i) Content validity (ii) Criterion validity (concurrent validity) (iii) Criterion Validity (predictive validity) (iv) Construct validity c) A successful score on the College Algebra examination may b...

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##### 1) The problem runs along the vertical y axis. g = 9.81. Astone is dropped from the top of a building of height h. At aheight 10.21 m is the lower edge of a window of height 2.021m . It takes the stone to travel the window in a time 0.04521s. Calculate the height h.2) The problem unfolds on the horizontal 'x' axis. A car Agoes at constant speed 51.8073 km/h and at t = 0 it is at18.0844 km. Car B is at rest at t = 0 at 10.7029 km. Calculate theminimum constant acceleration aB that B mus

1) The problem runs along the vertical y axis. g = 9.81. A stone is dropped from the top of a building of height h. At a height 10.21 m is the lower edge of a window of height 2.021 m . It takes the stone to travel the window in a time 0.04521 s. Calculate the height h. 2) The problem unfolds on the...

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##### 15) Please provide short, to-the-point, answers to the followingquestions. Note: There is very little, if any, partial credit onthese questions, and you will receive no credit for confused and/orlong winded answers.a) Do you observe a Compton effect with visible light? Why?b) Why is it that even for incident radiation that ismonochromatic, photoelectrons are emitted with a spread ofvelocities?

15) Please provide short, to-the-point, answers to the following questions. Note: There is very little, if any, partial credit on these questions, and you will receive no credit for confused and/or long winded answers. a) Do you observe a Compton effect with visible light? Why? b) Why is it that eve...

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##### Find an irreducible polynomial f (z) Z,[z] degree Justify your answer.(b) Let root of the polynomial you found in the previous item in an extension of Z; What is the cardinality of F = Zs(a)?With & as in the previous item find the minimal polynomial of 1/& and a2 +1 over Z;Determine the number of monic cubic irreducible polynomials over Z;

Find an irreducible polynomial f (z) Z,[z] degree Justify your answer. (b) Let root of the polynomial you found in the previous item in an extension of Z; What is the cardinality of F = Zs(a)? With & as in the previous item find the minimal polynomial of 1/& and a2 +1 over Z; Determine the n...

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##### (15 points) Suppese that f(*) and g(*) are differentiable functions with7()9(*)If h() f(x) * 9(*) , compute h'(4)If hlr) = f(g(x)), compute h' (4)W S3) compute N(3) 8)Kbis, (o6opp" Cempule W (2)

(15 points) Suppese that f(*) and g(*) are differentiable functions with 7() 9(*) If h() f(x) * 9(*) , compute h'(4) If hlr) = f(g(x)), compute h' (4) W S3) compute N(3) 8) Kbis, (o6opp" Cempule W (2)...

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##### Consider 3 continuous random variable X with the following probability density function: fbx) _ Jax+4b x? , F1sXs1, a and b are unknown parameters_Find point estimators of a and b based on a sample f size n.a = 1ZX;and 6 = 5 2n Ex} 8na =1ZXand 6 = 12* a= 3 2n Zx;and 6 = 52 2na # 1 Zx,and & = 526 = 12 andb= 4n 2 HnMoving #o the next questio prevents cHUNEFs to this answer

Consider 3 continuous random variable X with the following probability density function: fbx) _ Jax+4b x? , F1sXs1, a and b are unknown parameters_ Find point estimators of a and b based on a sample f size n. a = 1ZX;and 6 = 5 2n Ex} 8n a = 1ZXand 6 = 12* a= 3 2n Zx;and 6 = 52 2n a # 1 Zx,and & ...

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##### Question 183 ptAtechaician uearing cucular mctal bend on hit ATE moict his hend into urifcrm magectic ficld o{ msgnitude ] S T i ! tme 01032 L Ibe dunaa o{ the bend # 6 } cm end tht field # 25 4 rglc of 42* With the plane ofthe metal band while the Iand # in the feld, fiad tte marmniude ntte eml induced [4 tbe band 0.0434V00052 !1,0839 V00109 UKeda ofte abott

Question 18 3 pt Atechaician uearing cucular mctal bend on hit ATE moict his hend into urifcrm magectic ficld o{ msgnitude ] S T i ! tme 01032 L Ibe dunaa o{ the bend # 6 } cm end tht field # 25 4 rglc of 42* With the plane ofthe metal band while the Iand # in the feld, fiad tte marmniude ntte eml i...

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##### 38. Suppose b. and are constants and a # 0. Let as +b Ji =L-1 and J2 = L-1 T) as2 + bs + â‚¬ as2 + bsShow thatV1 (0) = 1, J() = 0 and Y2(0) = 0, J(0) = 1, HINT: Use the Laplace transform to solve the initial value problemsay" +hy' +cy (V +by' +cyJ() = 1, "() = 0 Y() = 0. Y (0) = 1,

38. Suppose b. and are constants and a # 0. Let as +b Ji =L-1 and J2 = L-1 T) as2 + bs + â‚¬ as2 + bs Show that V1 (0) = 1, J() = 0 and Y2(0) = 0, J(0) = 1, HINT: Use the Laplace transform to solve the initial value problems ay" +hy' +cy (V +by' +cy J() = 1, "() = 0 Y() = 0. ...