4) [ (2– t)/tdt xdx 5) o Jr+ 2x 2

Q: 2) Use the antiderivative to find the exact answer for (hint u=3x) 1+9x²

A:

Q: Q2/ fincd lachre trans form for at X- 3x+2X=lee

A: given equationx"-3x'+2x=1-e2tby assuming that initial condition is zero.x"=s2X(s)and x'=sX(s)and…

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

A:

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: Show that 1/2 ( Tn + Mn ) = T 2n

A:

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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Q: -3 2. Evaluate: V12-피 + z dar 0,

A:

Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

A:

Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: A Moving to another question will save this respons Quèstion 1 If y = u - 4 and u = 3x2 + 10 , find…

A:

Q: 2 16п xV8 – x3 dx = 9V3 3 Show that - %3D

A: Let I=∫02x8-x33dx. First, convert this integral into the form of the beta function. So put x=2t13…

Q: 2- S --y Vty zdzdxdy

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Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: prove using the IVT. 2x + 3x = 4x has a solution.

A:

Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact…

A: topic - application of derivatives

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: If mQT = (27x + 3)', mRT = (9x – 5) and mZRST= (10x-2)', find mRT. %3D T R. mRT

A: According to the problem, we have The Secant-Tangent Theorem says that  Measure angle RST=…

Q: Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation…

A: We have to show that the Adam-Bashforth method            yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

Q: 7.Find a²z of z = 2x³-5xy² xy

A:

Q: 1 zp- A) B) is larger than 17

A: The given integral is ∫1∞1x5+4 dx We have to determine weather the given integral is larger than…

Q: -2t 7. f(1)=3e" cosh (In 2r) in two ways.

A:

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: The complete solutions are given below

Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u =…

Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

A:

Q: 17. Use Theorem 4.7 to prove that Vx + 3 2 V3 + x/4 for

A: Let,

Q: 4. Sketch the proph of the following funcfions; メーメ+4 (x+4 a) f(x) = (x+4) x b) gex) = %3D

A:

Q: 1 Use convolution theorem to evaluate L-1 (s²+9)²)

A:

Q: 4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

A: Since there are two questions posted, we will answer the first question 4.a). If you want the…

Q: Evaluate A (z 2") by parts.

A: Solution:

Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

A:

Q: 3. Show that à = (6xy + z³)î + (3x² – z)ĵ + (3xz2 – y)k is irrotational. Find p such that A Vọ.

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Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

A:

Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: み Vcet-4+(4 c) dt

A: NOTE: Refresh your page if you can't see any equations. .

Q: 7. f(t)=3e" cosh (In 21) -2t in two ways.

A:

Q: JJ. JUA X ABD) 224 ABE) 16 36. g(x)=2x -3x² +5x+3 ACD) 1 АCE) 2 37. h(x)=x -4x³ +3x² +8 ADE) -3 BCD)…

A:

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

A: The given figure is of the parallelogram. And given that m∠W=(2x+29)°, m∠Y=(10x-27)° Note that, the…

Q: +prove by indirect method that i X+y >5 then or y>3. x>2

A: We need to prove that if x+y&gt;5 then x&gt;2 or y&gt;3

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

A:

Q: 4. Show that V2 ¢ Q(V3) and Q(/2, v3) = Q(/2+v3). Hence find the mmp of V2+ V3 over Q.

A:

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A:

Q: 2 O Expand Pn = 2x +3x +) in Term of P.f,.

A: