Which of the following is a solution of the equation 2sin2x - 3sinx + 1 = 0 in the interval [0, 2rt)? а. Зп/4 O b. Tt О с. 0 O d. T/2

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Q: EX. Evaluate the JoJex*+2xy+y*) dydx when step size of X = 0-2 and step size of y=o.5?

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A: For the given data find Correlation ( r ) = ?

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A: The given differential equation is Compare the above DE by general form of linear DE such that

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A: Here, s=t2+5t and t=u2+2u13 So, s is a function t and t is a function of u. At u=2, t=(4+4)13=813=2

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Q: EX show that 2. J능 (x)

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Q: Fiud He solution to Hil equetion iultrat ccudiitrou I loleo adduciing that R= 150 Sz, V (t) IJ…

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Q: Which of the following is perpendicular to the line x/2 + y/4 = 1? 4х — 2у — 5 %3D 0 4x — Зу +9%3Dо…

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Q: Verify by substitution that y(t) = Cekt - b/k is a solution ofy '(t) = ky + b, for real numbers b…

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Q: b) For what values of p and q will pr + q, f(1) = 3 pr + r+ 2q, ¤> -1, - { I<-1 be differentiable…

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Q: Determine the intervals in which solutions are sure to exist. t(t – 5)y(4) + e'y" + 9t°y = 0 %3D…

A: Given differential equation is tt−5y4+ety''+9t2y=0......1 We have to determine the intervals in…

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A: If sum of two angles is 90 degree. Then the angles are called complementary.

Q: 17. Find x if mRTU = 11x-7, MZSTR = 2x + 16, and mZSTU = 152°. w %3D S T. U

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Q: If y(t) = 3t4 40t3 + 126t? – 24 where t denotes time in seconds, %3D - - then find the values of t…

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Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: If RX = 18. XS 10, and RT = 35, then YT

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Q: If a ton K holds K000 Aallons of watev, the dan k after t minutes 9s giren by V= d000 (! which of…

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Q: 3 - If h(x, y) = y – xy – x2, find at the point (2, n) ду

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Q: Frd he e of teepkan in the at quectert baurded on he let ty he ydx, bebw by tte carve x- boletby…

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Q: 1. ese the mettio d the delorm inat t findd lhe Uahue Ek for which Hhe sef of Lineer Consstent…

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Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

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Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

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Q: On what interval is concave downward?

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Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

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Q: The interval in wh (4-t2)y' +2ty 3 Select one: O a. (-2,2) b. (0,1) C. (0,2) d. NOTA

A: Given        4-t2y'+2ty=3t2;     y(1)=5

Q: Which of the following is NOT a separable offerential equation? y dy me de a dr-V4- dy =0

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Q: Which of the following below is NOT an ordered pair solution to f(x) = Vx+7 O (-7,y) O (-8.y) O…

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Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

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Q: 59 AM Thu Mar 4 * 69% + : 0 12. Find all solutions of the following equation on the interval [0,27).…

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Q: Find the value of x that makes m parallel to n when m./4 = 5x – 17 and m26= 4x + 3

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Q: AY 6. Find the length of the interval AB. eB AB =| (1d.p.) + -4 6 х A.... -3-

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Q: = -4rt ; when t = 0, r = ro 1. 2. xyy' = 1+ y? ; when x = 2, y = 3

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Q: Let fa)--1 and g)- -'+x-3 Which equation shows Ma). where M) – W.g A Mz)-x+x+3 8 M3)- -+ -4 C Kx)-…

A: Definition used -        Product of two functions - When we multiply two functions, We will get…

Q: (b) Note that v(t) = t² – t – 12 = (t – 4)(t + 3) and so O on the interval [2, 4] and v(t) > v %3|…

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Q: Find he value of ds/du at u = 2 if s t2 + 5t and t = (u? + 2u)

A: ds/du=9/2

Q: Find dy/dr if y = r In(x). Answer:

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Q: Let (-) - {. S 8x², x 9 Find the values of a and b so that f will be differentiable at x = 9. а i b…

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Q: Find and of a = V1-tand y = t - 3t? %3D = -4tV1-t %3D =-4tV1-t 4 4t V1t 4tVT+t

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Q: a cars position is given by s(t)=10+6t+4t^3 t=3 sec what is acceleration at 3 sec

A: The position of a car moving in is given by s(t)=10+6t+4t3  To find acceleration at time t = 3.   To…