Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

Q: 'ind, from first principles, f.(3, –1) for f(x, y) = 4x²y² + e%.

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Q: The DE : y'= e 5x-7y is seperable Select one: O True False

A: We have cheek

Q: f (t) = 3e" cosh (In 2r -2t

A: Given,                 f(t)=3e-2tcoshln2t

Q: Q4) If VZA = |, such that AAT = 1. Find x? %3D %3D

A: Given that 2A=1-1   -1xT  such that AAT=ITo find x:

Q: cle below, suppose m JIL =274° and mLIJK=111°. Find the follo J K (a) (b)

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Q: The DE : y' = e>x-7V is seperable Select one: O True O False

A: Try to separate the variables if it is possible than given DE is separable.

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

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Q: (1) Find an element r E D4 such that DaH R90 = V. %3D

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Q: If f(2) = cosh (In a), then f'(7) = %3D Your answer should be rounded to the nearest whole number if…

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Q: ф бху dх + 2ху dy %3D i

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Q: Evaluate , 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: Given: In the first octant, evaluate∫∫∫E5y2dV , where E is the requirement below x + 3y + 6z = 9 .

Q: The area to the left of Z= -0.11 is?

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: Consider the lollowing inner prodact or R 2 by, % ニaメ, X X. + 2. Cし3)上63) oa tb = ?

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Q: O Verify that you (-00, os). Cos (zt) is a salution to y"- Sy= -9cos(2€) on

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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: Use the fact that dim(R(A)) = dim(C(A)) to explain why rank(A) = rank(A").

A: Here we can use the fact that  rankA=dimRA to prove the identity.

Q: If f(z) = cosh(In z“), then f' (7) = %3D %3D Your answer should be rounded to the nearest whole…

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Q: Consider the following. (If an answer does not exist, enter DNE. f(x) = In(x² + 7) %3D (Entor voUr

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Q: d? -(A+B) at t = 1. di?

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Q: J) 11"+2 + 122n+1 divided by 133 , Vn E N*

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Q: Find f"() if fx) = 2e* - %3D e* In 2 Ob) 20 2e* O c) 2e O d)

A: Recall:     d(eax)dx=a.eax

Q: The result is calculated as follows. '1 +5/8 dx 8_y13/8 . 13 = F(1) – F(0) - 0 II

A: Let I=∫01x5/8dx

Q: Q2: Find the aren bounehd by y=x and y =X+2

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Q: dz where C is ned by x = 0, :

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Q: what is the DE for this?

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Q: 3. A populatian of NE7 scares na 3 a meañ of H=13. Wnat is the alve of Ex for this popuation ?

A: We have given that, A population size N=7 and Mean μ = 13   Mean μ: It is the sum of total…

Q: O Find the Salution of the fllowinng Inlayrudien (x-2x++x -5) dk use

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Q: Find the general şolution_to the following. (D* - 2D – 7D? +8D+12)y = 0

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Q: 1 Q4) If vZA =, such that AA" = I. Find x?

A: Transpose of matrix

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: dy 5t vi (In(t) + 1) Vi dt

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: Suppose that m BC = 122°. Find the followi (a (E B

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Q: const at Verify 4=(e~x-I is the gereral solticn

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Q: If y = exp(-x²) show that = -2xy and hence prove that, for n > 1, y(n+1) + 2xy(") + 2ny(n-1) = 0.…

A: Given that : y=e-x2. Therefore,  dydx=ddxe-x2=e-x2.-2x=-2xy  , as y=e-x2. Hence proved that…

Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: With the form of parhal frachun deomposition: A Bxt C A=1 (x-1)(x¥4) x-1 メー メ44 01 Evaluake x²+x+8…

A: The given integral is: I=∫x2+x+8(x-1)x2+9dx

Q: )find dy to yalog,o(3X+1)

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Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

A: Explained below

Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

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: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

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Q: $ Find the goneral Solutim of the differen tial equatim : (D²-60 +10)y =20-e2x

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Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

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Q: Find the imaginary part of the analyhc funckon,whose real part is : sxy? 3x²-34?

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Q: Find the general şolution to the following (D* - 2D – 7D² +8D+12)y = 0|

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Q: Find the abpolute elatia s % emg in XA when Xy=3 and ZA= 0.666

A: Absolute error = |xT - xA|, where xT is true value and xA is a approximate value. Relative error =…

Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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Q: 2. find the the following equation in simplest arbi Saution set of form. X-3x + 9 = 5Y-10

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Q: The DE; y' = 7V IS seperable Select one True O False

A: Simply first convert it into f(x). f(y)  form if it comes then it is separable variable