f)-VCot 24 - logs (JE x-1) - at (sinx) - log3 (Jī x-1) - ot (sinx) 2イ %3D メー

Q: Write 3e2x + 7e−2x in terms of sinh(2x) and cosh(2x).

A: Solution: The objective is to write 3e2x + 7e−2x in terms of sinh(2x) and cosh(2x)

Q: Solve 4sin^4 x -3sinx=0 if x ϵ [0,2π)

A: This question is related to trignometry, We will solve it using given information.

Q: Use Gauss elimination to solve

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Q: solve by finite difference ²x - ²)x=t dt²

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: Use convolution to solve 4y' + y = cosh 3t, y(0) = 0.

A: The solution is given as

Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: 54, find r such that the m 5a. A -[ 3 -3 -2

A: A matrix 'A' is equal to its own inverse when  A2=I where I is the identity matrix.

Q: a) 2 7e"- dy

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the DE x²y"-3xy'+4y=lnx.

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Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

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Q: D) Find JI 2x-6 J H. x+ 4

A: topic - coordinate geometry and linear equation in one variable

Q: 2x d tdt da

A:

Q: Integrate: S (2r – 3) (3r² – 9r + 5)°dr

A: Integration: - Integrals are the values of the performance discovered through the mixture…

Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: -0.3x (49 — х?)о4

A:

Q: tan X Select the rules - Alyebra -Recierocal -Quotien4 Py tuagoren ) Oda lE ver -Evaluation 58idate…

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Q: kx, V; = 1+ kt

A: There is an equation of flow velocity field given

Q: x* +3 dx x² + 3x + 1 4. -00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: Chenge to Poloy -V3 +2Ź

A: Here we use complex number property to find polar form.

Q: dx 4. xV25-x2 5+vx2-25 In + C а. 5 b. In 5+Vx2-25 + C 5+v25-x2 In + C с. -- d. None of the above

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Q: (2 + j)?

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Q: Solve PDE, Sike ODE am 2112+914+ 44=-3c0sx – 29 sinx

A: Given: The Equation is 2uxx+9ux+4u=-3cosx-29sinx

Q: Solve: 3ln( -1)-In(t +1)?

A: We need to simplify the given expression. 3lnt2-13-lnt+1

Q: sketch the preceujse - def med tunctror -32+2 if x <3 far. for 2. of 3<Y<S

A:

Q: Consider (x8+ 8x5+ 16x2) ² -dx. Using u-sub

A: Given: - The integral is, ∫x2+1xxx8+8x5+16x22dx To find: - The values of k and n. By using…

Q: and こ=< ,フ-<o,-1y. where %3D Pind マf(2)?

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Q: 72 Y : 1 Vt2 +t+1 dt ||

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Q: show that ē ** Jo(bx) dx = %3D 8.

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Q: Sec(1+ 까an (품 -).

A:

Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

Q: Show that - dx /x²+2x+2 L- In(√5-2).

A:

Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: - To show that AADB (бх — 1)° 48 (4x + 25)° EACBD by AAS, what must be the 48 A' D value of x?

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Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

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Q: Solve the DE x2y"-3xy+4y=lnx

A: Given the differential equation is                                 x2y''-3xy'+4y=lnx ⋯⋯⋯ (i) Solve…

Q: Solve to Find if cscx – San () dt = 4 – y?

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Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: Integrate the fallowing. 3X Cosaxd X

A: Integrating by parts∫(I).(II)dx=(I)∫(II)dx-∫∫ddx(I)∫(II)dxdx

Q: The number of units in Z29[x] is

A: Solution by using definition of unit elements

Q: 1. How many cycles would there be in the graph of y = sinx, over the domain Osxs 1080? What about…

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Q: x - 6x = 2r – 4y Hom: of the funsti

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Q: Solve for X Iの) リ-X 2メ-S) こ X ta

A: Given, ln2x+1x+2=lnx-12x-5 Taking exponential on both sides, we have eln2x+1x+2=elnx-12x-5…

Q: how that 1 dn v2

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Q: con 2. 體 + dt +13y = 3sin(2t)

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Q: O Express : 2 as a linear combination of

A: By using definition of linear combination

Q: 4- Fct) = Sint ost<T くもく2

A: We have to find the Laplace transform given step function.