1 Homemade 5: Find exp ( t and use it to solve the initial value problem -9 -6 ): [8]-[] x(0) -- -6

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: The average classroom teacher's salary is given by f(x) = 975.06x + 32,906.42, where x is the number…

A: Step 1:Step 2:

Q: 6. m(x) = 1 – (2)(x + 5)1/2 EVALUATE                                                  SOLVE m(11)…

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Q: Solve for x in terms of k. log5 x + log, (x + 5) = k. X = Find x if k = 5. -(5-5sqrt(501))/(2)

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Q: Suppose that Sports Stylz Inc. determines that the revenue, in dollars, from the sale of x…

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Q: (5) Solve for n EN. +2 (a) (3) = }(n+²). 5 n (b) (²) > (^).

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Q: 5. Determine whether the following are rational numbers: (a) 2² +27¹; (b) log₂ 3; (c) 2+√2. (d) If…

A: We have to find if the given numbers are rational or not.

Q: Which linear function is graphed on the grid? 90 80 70 60 50 30 20 10 12 3 4 10 56789 20 30 40 50…

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Determine whether each x-value is a solution (or an approximate solution) of the equation. In(5x +…

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Q: Solve for x. (a) e 9x - 1 = 5 (b) e - 9x = 12 (c) ex² - 7 = 13

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Q: fx3 - x - 3 = 0 f the starting of tho root

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Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r…

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Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: PROVE THAT  x0.23 = 0.444078 SOLVE [(0.4-0.2)/(0.23-0.2)]=[(0.422845-0.447825)/(x0.23-0.447825)]

A: To prove that, x0.23=0.444078 by solving the following…

Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: Question2 (a)Find the negative solution of x*-x = 0.12

A: 2. (a) Use the transformation below to express the equation in: x=g(x) form which is necessary for…

Q: Given f(x) 3 = T 3) (g f) (4) and x²-1 glx) 2x+7, find the following. 4) (gofog) (-1)

A: Given f(x)=3x2-1 and g(x)=2x+7

Q: LAR널)] = Y(S) = [올 +2 Yi(s) = Y,(s) = (S+4)×2 블 +8S+20 N/A ( 52 ) ³²+ + 4 . √2 + 5 - S14 (S+4) e (5²…

A: To show:-

Q: i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep…

A: The function that represent the spreading is given as Nt=45011+249e-0.1 t. (i) Obtain the number of…

Q: are there any problems where (fog )(x)=(gof )(x)

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Q: •(-1)"x4" n! n=0

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Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

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Q: (3) A production manager determines that t months after production on a new product begins, the…

A: Given: N(t)=17t2+13t2t+12

Q: C is the curve y = e® from (2, e²) to (0,1) and F = (x², -y), compute ſ, F-dr.

A: Given that, C is the curve y=ex from 2,e2 to 0,1 and F=x2,-y Then, F=x2,-y=x2,-ex So, F→=x2i^-exj^

Q: Solve the equation [9]31 X= [10]31 in Z31. Express your answer as X= [X]31, where x is an integer,…

A: Given, To solve the equation,    931X=1031in Z31.We need to express our answer as, X=x31,where x is…

Q: X-3시 x+3

A: To solve the following inequality.

Q: 9. A person on an assembly line produces P items per day after t days of training, 400 where P(t)=…

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Q: 5. (a) Rewrite ta+ using Euler's Formula. (b) Construct an example of a Cauchy-Euler equation whose…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.