Find the smallest possible number n of vertices in a tree that has four vertices of degree 3, three vertices
of degree 5 and two vertices of degree 7. Prove that your answer is correct
Let E and V be the number of edges and m be the number of vertices According to definition of vertices 2 E vef deg(v) m 4(3) 3(5) 2(7) m 12From properties of tree E v 2 (m 4 3 2) 1 m 8Equate the…
I need help on questions 8-11. I don’t seem to understand them.
8 .Find the smallest possible degree of a polynomial with thegiven graph . Explain your reasoning .The smallest possible degree isbecausethe graph hasX – intercepts andturning points9 . Divide by synthetic division .2 X 3 – 9 X 2 + 2 X + 8x + .2 X – 9 X 2 + 2X + 8Remainder+ X10 . Use synthetic division and the Remainder Theorem to find each function value . Check your answer by evaluating thefunction at the given x- value .F ( X ) = X* + 7X 2 + 92 . 4 ( 1 )b . f ( – 1 )c . 4 / 5)d . $ ( 10 )2 . 4 ( 1 ) =( Type an integer or a simplified fraction . )b . f ( – 1 ) =( Type an integer or a simplified fraction . ). ` ( 2 ) =( Type an integer or a simplified fraction . )d . f ( 10 ) =( Type an integer or a simplified fraction . )17 . Find the value of K for which * + 1 is a factor of * + 4X ~ + x + K .K =( Simplify your answer. )4 of 15
Find the Riemann sum for the function f(x) = x^2 on the interval [−4, 2] where the constituent subintervalsare [−4,−3], [−3, 0], [0, 2], and the evaluation points are at the left-hand endpoint of each subinterval.Your answer should be an integer.
Riemann left handed sum for f ( x) = x 2 on an interval [-4,2] with subintervals as [-4,-3], [-3,0] and [0,2].Sum = f ( −4) *[(-3)-(-4)] + f ( −3) *[(0)-(-3)] + f (0) *[(2)-(0)]= (−4) 2…
Find the relative maximum and minimum values. fix.v}=x2 Hafiz — 19mmSeleot the oorreot ohoioe below and. if neoessary. fill in the answer boxes to complete your ohoioe. D A- The funotion has a relative maximum value of flay) = D at {my} = D.[Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.) D B. The funotion has no relative maximum value.
Find the relative error in the function y = axm1 1 xm2 2 …xmn n .
Find the real number restrictions on x in the expression:x2/x2-14x+49A. 0 and 7B. 7 and -7C. 7D. NoneE. None of the above
Find the real number restrictions on x in the expression: A. 0 and 7B. 7 and -7C. 7D. NoneE. None of the above Work: The fraction is defined for all real numbers for which the denominator i.e.,…
Find the ratio of Hoosiers to Buckeyes (people from Ohio). (simplify your answer)
please make sure you express it so i can verify and understand it and please do not answer it if you are not 100% for sure you are accurate; thank you
Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and 00:0 are in dollars. R(x} = 60x — 0.5×2, C(x} = 6x + 15, when x = 30 and dx I dt = 15 units per dayThe rate of change of total revenue is $|:| per day.The rate of change of total cost is $|:| per day. The rate of change of total profit is $|:| per day.
working
3. Find the fitnotionFsuoh that F'(r]= fit2 —41 +3 and F[l)=2. 4. [a] Find the general solution of the differential equation d_y_2xz+l dx x -[In] Find the partiouiai’ solution which satisfies the condition y = 3 when .x = l.
Show all your work : formula ,substitute given and identify the final answer
Find the Thevenin equivalent circuit for RL for the network below :R 2EO + 16VIs | 8 MA2.2 KRly3RX35. 6 KR-2| Show your work : formula , substitute given , and identify the final answers
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