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# Thls EWciphten Avelar Proplemal iedsmotel hasMutelelsusually rents out; the following proporionssingles at: $60 per night 35%6 doubles a$74 per night 20%, trples a...

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471 (J0 poins) Thc volume of' cone given by rate of cmls while the height is decreasing at rate of 6 The radius of the cone increasing at cm and the volume is 100 cm? Cus how fast is the volume changing when the radius Provide an exact answer by leaving Your work in terms 0f â‚¬ SurVvs Trz...
##### If the graph above is denoted G where G = (V,E). what are andE?Which vertex has thelargest degree?Ifyou were to remove vertex 11 from the graph (along with all the edges that connect to vertex 11) then which vertices in the resulting graph would be considered cut vertices?Provide subgraph G' (of the graph above) that an element of the set Ka for some value of n greater than 2. Specify G' by listing the elements of both and such that G E"') and then provide an adjacency matrix
If the graph above is denoted G where G = (V,E). what are andE? Which vertex has thelargest degree? Ifyou were to remove vertex 11 from the graph (along with all the edges that connect to vertex 11) then which vertices in the resulting graph would be considered cut vertices? Provide subgraph G'...
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##### 2.1. For the following formula in FOL: F = Fi ^ F2 ^ F3 F1 Ixayaz((P(x,Y) P(Y,2) ^ ~(x = Y) ^ ~(y 2)) v P(x,z)) Fz Vxvy((P(x,y) P(y,x)) vx =Y) F3 vxVy(P(a,y) 7 P(x,b)) Give a suitable structure, a = (U., Ia), where Ua {1, 2, 3} such that under this structure A(F) = True: Justify_2.2 Convert the following formulas into equivalent Skolem normal form. Justify_ (a) ~((Vx)P(x) 3 (Vx)(ay)(az)Q(x,Y,2)) (b) az(axQ(x,z) axP(x)) 7 X_xP(x) VxazQ(z,x))
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##### Find the cross product a * b J = 69, 0,.4>, 1b # 60, 16, 0>Need Help?Raad IIliknttltab3 ppints SCalccch? 4008Find the cross product a * biKillkI>b = {60 64 3>MVA##KHKHRHRebd mtHTEEUL H"Hthusn
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##### EnteredAnswer PreviewResultcorrectincorrectIncorrectAt least one of the answers above is NOT correct 2 of the questions remain unanswered,(2 points) A tank contains 1820 L of pure water Solution that contains 0.07 kg of sugar per liter enters the tank at the rate 2 Lmin, and is thoroughly mixed into it The new solution drains out of the tank at the same rate (a) How much sugar is in the tank at the begining? y(0) (kg)(b) Find the amount of sugar after t minutes y(t) (kg)(C) As t becomes large, w
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##### Find the indicated limit. In most cases, it will be wise to do some algebra first (see Example 2). $$\lim _{x \rightarrow 2} \frac{x^{2}-4}{x-2}$$
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##### The area Of a sector Of a circle with a central angle ofrad is 28 m2Find the radius 0f the circle Report answer as an exact real number; no decimal approximations. Use for T
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##### In Exercises $1-10$ , assume that $T$ is a linear transformation. Find the standard matrix of $T$ . $T : \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}, \quad T\left(\mathbf{e}_{1}\right)=(1,3), \quad T\left(\mathbf{e}_{2}\right)=(4,-7), \quad$ and $T\left(\mathbf{e}_{3}\right)=(-5,4),$ where $\mathbf{e}_{1}, \mathbf{e}_{2}, \mathbf{e}_{3}$ are the columns of the $3 \times 3$ identity matrix.
In Exercises $1-10$ , assume that $T$ is a linear transformation. Find the standard matrix of $T$ . $T : \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}, \quad T\left(\mathbf{e}_{1}\right)=(1,3), \quad T\left(\mathbf{e}_{2}\right)=(4,-7), \quad$ and $T\left(\mathbf{e}_{3}\right)=(-5,4),$ where \$\mathbf{e...