Given that x= 3y and y = 2z, find x : y: z. %3D

Q: Find the antiderivative for each tunction When C=0. a) g(x)= -3x-4 b) nlx) = x-4 %3D c) Kl) =x42x+3

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Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

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Q: Given that x and y vary inversely and that y is 24 when x is 8, what is the constant of variation,…

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Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Find dy for the given values of x and ∆x.  y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

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Q: What is the relationship between La and Zb? F E D D. B

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: x5V16x6 – 24x3 + 9 dx -

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Q: Select the best option based on the information below. MP at(x;,x;). = TRS = MP, %3D %3D - W2 Select…

A: Given....

Q: ind the total differentia z = 5x^y7 = zP

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Q: Given f(x, y) = e"v, find

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Q: Find D (x") where m, n E N. Distinguish between the cases where m>n; m = n; and m<n,

A: To distinguish between the given cases :-

Q: Find the value of E 2) Evaluate y dx 3) x e

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Q: For x=e2 y= In 2t, find the value of k so that ky'=1 at x=e

A: Given: x=e2ty=ln 2t

Q: If possible, find the general antiderivative of (7+e*e*c

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Q: S. If PH is 3 and AP is 2x +4 what is x? B oint 丰

A: Centroid of triangle divide each of median in ratio of 2;and 1

Q: e2 dx 4e2x – 8e* + 5

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Q: Does E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx?

A: Given that  E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx

Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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Q: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: Find based on the given information. y = e 5y +3 = x

A: Solved below...

Q: XzP -te; xlol = dt?

A: it is given that     d2xdt2=tet         (1)where x(0)=x'(0)=0integrate both side to equation (1)…

Q: Find the antiderivative of g(t) = 2t2 t3+1

A: Topic:- integration

Q: Express the statement as an equation. Use the given information to find the constant of…

A: Given: t is proportional to the product of x and y and inversely proportional to r.x=2, y=3, r=12…

Q: c. Find for the above values of t. dx

A: (C) The given functions are y=2+t  and  x=t2-t. Evaluate the values of t for which dydx=2 as…

Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: Vx dx 1+xvx

A: To evaluate: ∫x1+xxdx

Q: Given: ASVT- AWYX with moasuros as shown Find: WY and VT W 10 Y. V.

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Q: Find the most general antiderivative, (5e 3x -4 e-X) dx

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: if zis directly proportional tothe product of x and y and if z is 6 when x is 3 and y is 4, the x,y,…

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Q: What must be the measure of ZX in order for ARST to be similar to AXYZ? AA 10 40° R 4 А. 20° 32° C.…

A: Here  In ∆RST and ∆ XYZ  As ratio of sides are same  RS/XY = 10/5 = 2 and RT/XZ =8/4 = 2

Q: Differentiate R(t) = (5t + e')(3 – Vt). Answer: R' (t) = |

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Q: Find dz? for the given function. w = 2z? ez d?w dz?

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Q: |y" Coa x dx whener 낚)o 5 g #1

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Q: e. Choose 'A' for true or 'B t ratios of complementary a er than

A: We are given with the multiple question and our guideline is solve first question only.

Q: Given y = e-2", find y'. %3D

A: We will use the chain rule for derivative

Q: Find the general antiderivative. If the substitution method is used, state first u, du and [lu)du.…

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Q: t Sd for t = 0.221, sa = 3.196, and n = 8. Evaluate E= ... E = (Round to three decimal places as…

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Q: Use Lagrange interpolation to approximate y at x=c from the following tabulated values: C+3 Y3 C-1…

A: We know the Lagrange interpolation polynomial is…

Q: The volume V of a gad varies inversely as its pressure P. If V = 40 cm^3 when P = 60 g/cm^2, find V…

A: According to the question volume V  is inversely proportional to pressure P.  Thus,  V1/ V2  = P2/P1…

Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: Find the length of DE. Given: DE || GH;EH = x; EF = 2x E 4у — 6 Зу— 18 H. 2x F

A: It is given that, DE∥GH , EH=x ; EF=2x We have to find the length of DE.            Given that,…

Q: ex (d) X+1

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Q: Salve dy x(l+y) ニ。 XP

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Q: 4.8 12 4.8° X. at Response

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Q: The given data is: x² + y² + z? = 4 dz To find the value of dx

A: Take the derivative with respect to x and represent all terms for dz/dx.