di In the ODE: L- + Ri = E, the dependent variable is: dt

Q: Evaluate 24 dx (Hint: g bretan(u)-Tu V3 here is the 4h/ radicalof 3

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Q: Solve the ODE of variable coefficients first changing this to constant coefficients x²y" – 4xy' + 6y…

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Q: B. GIVEN: BF 1 AC,DE 1 AC, AB = DC, AE= CF. 18. PROVE: AAFB =ACED. F A

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Q: Find the su following se

A: Given series is: 10, 40, 160, .......... We have to find the sum of first 10 terms of the above…

Q: y" +/ sin a = 5 + e %3D

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Q: Compute divF and curlF for F = -r°(y – 2)i – (2² + y^)j+()k. 422

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Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: Is the function y = Cx? a solution to the ODE y" – xy' + y = 0?

A: Using Derivatives.

Q: the Feurier tranefrn XC10) for the Pulse f the Sapual derlribed bekw: Frind 「-2, -ろs トヒへロ X(4) %3D…

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Q: Find i x j and i · (j × k). Give a geometric interpretation of both quantities.

A: The basis vectors are connected by cyclic permutations of vector products Another way to remember…

Q: u= e^ if taken dx fluldu= glultc %3D respectively f4)=7,841=? as

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Q: Write the number positioned at point F. DB AF ЕС - 2 The number positioned at F is.

A: As shown in picture every one unit length is divided 4 equal length. F is placed at mid point of the…

Q: Fna the principal vaiие ој of

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Q: QLi) Find antideriva tive Fa) of the function, an fx) = 5sinx 8+ cosX such that Flo) = I

A: Given,

Q: perform the indicated operations .express.your answer in slmpest from (j6-j0)(j2+j3)(0-j)

A: j6-j0j2+j30-j

Q: f(t)=5 sec²(7 Tt – 3)

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Q: Explain the relationships between d S, dS, and dA. In particular, show how d S can be defined in…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we know that lnmn=lnm+lnn similarly, ddxlncx=ddxlnc+lnx=ddxlnc+ddxlnx…

Q: a) Find f'(e), where f(x) = am. %3D

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Q: 3) f(t) = t*e?t %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: dI a + 51 = 10; I(0) = 0 dt

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Q: 21.Find. the.curent.densi..a.t. P.(.1,l3). .... D...

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Q: b. y' = 3 t2 y( 1 + t³)

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Q: Df = ƒ + 2x 3. Consider the ODE, with J (0) X1 = 1 f (2) Suppose and 91 = 2 Multi-step Method.…

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Q: dx * To evaluate the most appropriate substitution to use is /3+x/4

A: ∫1x13+x14dx If we get fraction in the exponents then we take LCM so that we try get whole number in…

Q: dt 4. If f(r) = | 3. and f'(e) = (b – 1) determine the values of a and b.

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Q: dy The ODE dx = (x + y + 5)² is separable. True False

A: dydx=(x+y+5)2

Q: Explain the relationships between d S , dS, and dA. In particular, show how d S can be defined in…

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Q: .3 dx J Tx²+9 .2

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: Evaluate the iterated i 3 5. ('y dx dy xp 4x _JJ

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Q: The conversion from Fahrenheit to Celsius is C = (F – 32) %3D 9. Find F in terms of C.

A: In this question we have to find F in terms of C.

Q: Find ODE having the given function as its general solution. y = ae^x + b ln(x) + cx + d

A: Given y=aex+blnx+cx+d

Q: dx Evaluate using trig substitution: a x'V4-x? upo an

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Q: Q4: Find frr, fay, fyr and fy for f (x, y) = e*ly

A: We have to find double partial derivative of given function.

Q: 10 dz where C2 is the top half C2 that is C2: |2| = 2 with z = re", 0 < %3D

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Q: f) For what values of dim(V') is ø injective?

A: Given that T:V→V' is a linear transformation and W=ker T. Also it is defined that, Sv=v+w:w∈W and…

Q: What is the value of x in dthe triangle below? 10 B. C. B. Sv2 C. 10v3 D. 20

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Q: Турe I Туре II O a error о Berror O no error as long as the analysis was performed correctly

A: n = 50 mu = 4 p-value = 0.0004

Q: y = a+bx %3D b = -0.89 a 23.19 r2 = 0.4924 %3D r = -0.7017 a. If a person watches 14 hours of…

A: In this question we will use basic of algebra i.e solution by regression equation. We will simply…

Q: The residue of the function (z+i)3 sinz is (iii)

A: a) The objective is to find the residue of the function sinzz+i3  b) The objective is to find the…

Q: plve the piecewise linear ODE, y' – y= f(x), y(0) = 1, where f(r) = 1 when 0 1. What is y(2)? Ro

A: y(2)=1

Q: Evaluate: 3z dz when C: z = 0.5et (0 < 0 < T) %3D

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Q: AssIGN MENT2 : 2nel Order Homagenats ODE Egu 8 Fid geresal selution for ;- =0 | dx² dx y" -12 g'…

A: General solution for :   a)  y''+16y=0   Solution:                   This is the second-order linear…

Q: c) k(r) = e* + re %3D

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Q: Check whether the ODE is accurate or not, then solve it f) 6хydx + (4y+ 9x?)dy %3D 0

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Q: Find dk Hint: Take it one piece at a time.

A: According to the given information, it is required to calculate the integral.

Q: Fill in the blank. = F(s - a) whereas L eat dt F(s - a) = Need Help? Read It

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Q: 222 d. Evaluate dx Vt²-t dt

A: We have to solve this

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.