e is expressed by: x2 x3 ex = 1+x+ 2! +... 3! n! 0.5 After how many terms the value of e°.° has one significant digit? O a. 4 O b. 6 O c. 2 O d. 5

Q: I. Solve the given LDE using the method of undetermined coefficients. 1. (D? – 2D + 5) y = e* cos x

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Q: Q:2, Prove thunt x (1+x)"dx 306

A: Given:To prove that ∫01x(1+x)16dx=1306

Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: Which of the following is equivalent to: (*e-2'e-st cosh t dt ? L [e* cos h tl L [cos h t] А.) В.)

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Q: What is the value of a so that In (e") dx 6? ... A.) 0 В.) 1 C.) 2 D.) 3

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Q: jjj dx is equal to 3+ex 3+e 3 { A } I {C } In; 3 3+e 3+e 4 {В} In {D} In: 4 3+e

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Q: d For which value of a does the expression (ax") : 5bæ"-1 hold true if b # 0? dx 1 -1

A: Given ddxaxb=5bxa-1...(1) Then, we have to find the value of a if b≠0

Q: EX=8 x[n]y[n] In the formula, Norm_Corr:y , the term EN-dx²[n] is said to be related to the , -of…

A: Given problem Given that   In the formula Norm_ Corr x,y , The term is said to be related to the…

Q: K. The speed, v (m/s), of hot air coming out of the rocket engine is given by: 6.3d v2 = KA tanh(-…

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Q: Which expression can we use to solve / Vx² + 4x dx? Select the correct answer below: O 2 / tan? 0…

A: Solve the integration by substitution

Q: 00 e-t sin?t Ans. I In 5 4 3) Evaluate dt

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Q: W 3. If sin(8) = 0.788, then what is the approximate value of csc(0)? %3D 0.212 0.788 1.269 4.717

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Q: Consider the diagram below. If EI = 4d - 25 and LY = 5d + 7, what is the value of YM?

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Q: 5. ey dy dy 6. 2y + 1

A: Given: 5) ∫-∞0e4ydy6) ∫0∞dy2y+1

Q: (3xy² – 5y) dx + (2x²y – 3x) dy = 0 %3D

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Q: L {t?cos t}.

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Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And…

Q: For which values of a E R does there exist a value c > 0 such that dx dx -? 1+ xa 1+ xa

A: For which value of α∈ℝ does there exist a value c≥0 such that  ∫0cdx1+xα=∫c∞dx1+xα?

Q: 4. * S sec? (4t) (3 – tan(4t))³dt A C 1 (3 - 4 tan (4t))* + C (3 – tan (4t))ª + C 16 - - - - | - В 1…

A: The objective is to find the integration.

Q: Q.1) The general solution of the equation e' cos , is:

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Q: d Suppose a E R, where a > 0, a + 1, what is [a*]? dx A) ® xa"-1 e ra*-1. In(a) (c) a" In(a) D

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Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

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Q: Question dn- Iniegration by parns J co! (n) e * the Solve

A: We can solve the integral as follows:

Q: If K = °C + 273 then 468 °C= К. (Note : °C = degree Celsius and K = Kelvin)

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Q: dz is equal z cos(2) The value of 4-T =4 (a) 2 (b) 3 (c) 4 (d) 5

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Q: the order of the d.e. () + cos(x)y= x³ Select one: a. NOTA b. 3 С. 2 d. 0 e. 1 OO O C

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Q: If sin z is replaced by z - and 2 < 0.5, what estimate can be made of the A) |E < 0.000001550 B) |E…

A: Let's find error.

Q: sin C Which is the correct ratio? 15. 13 12 13 A) 12 5 B) 12 12 C) 13 12 D) O a) A O b) B O c) C O…

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Q: e) Solve for P in the equation below. P + 100 3.6(304.8 – 2.2P) 1- cos 45

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Q: 20. Which equations can you use to find EF? 45 4V2 4/2 a. cos D = sinD = С. b. tanE =4 d. cos E =…

A: Use trigonometric function

Q: 19. Which equations can you use to find MN? 60° 10 M 5/3 a. sinN 10 C. tanl= b. cos N= 10 d. tanN =…

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Q: 9. Which of the following is equal to feedt? A. ee C. eºx + C B. ee + C D. eºt + C 10. What should…

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant   (9).…

Q: b) If it exists, then the value of e dz = is:

A: Given: ∫−∞2e2xdx=?

Q: ind the value of s in the interval [0, t/2] that makes the statement true. Round to four decimal…

A: Given , cos S=0.6784we have to find the values of S in the interval 0,π2⇒cos…

Q: Given √√2/10 dx, determine all value/values of P for which the improp хр onverges? A) {0,1} B)…

A: Topic:- application of integration

Q: a. Complete the table of values by using numbers rounded off to the four decimal places. 2л 3n 5n 5n…

A: Here we will find values of 'r 'for given values of 'θ'

Q: 24. (х? + 2х + у) dx + 2dy %3D 0

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Q: If 69 e dæ = e° – 1 Then, 6. e +1.9 dx = Find exact value.

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Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe) + (sin x + x?e + 2)y' = 0.

A: If the differential equation is given of the form M dx + N dy = 0 then Differential Equations is…

Q: (a) L{t°e=5t}, (6) L {e-t cos 2t}, (e) L {Vi e}, (d) L {e-8:/VE}. Find

A: Laplace transform properties : L(tkf(t))=(-1)kdkdskL(f(t)) L(eat)=1s-a If L(f(t))=F(s) then…

Q: C. Solve the following Bemoull's equation. 2. dx

A: First divide y^9 both sides.

Q: 18. Which ratios are equal to T. 3V3 3. 60° R. a. tan R b. cos S C. tan S d. sin R 6.

A: Given triangle is a right angle triangle. Now using trigonometric ratio:

Q: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

Q: 5. For what numbers x, 0<x < 2n does cos(r) equal 1? (Angles are measured in radians.) (a) r = 0…

A: Given : 0≤x≤2π  does cos(x) equal 1.         cos(x) = 1               x = cos-1(1)               x =…

Q: JESTION 6 dy for the following equation. dx Compute x6-7x3+x?y7+3y4+4y²=18

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Q: cos () (b) 5k? k=1 This series

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Q: Given that y = px? – qx (where p and q are constants), find dx2

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Q: The displacement d​ (in meters) of an object at time t​ (in seconds) is given by the following…

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Q: E The alternating current in an electric inductor is | =5, where E is voltage and Z = R+X_i is…

A: Given that : R=6 and XL=2 ⇒Z=R + XLi=6+2i Now,  E=5(cos 500+ i sin 500)= 5ei 500=5e0.872i

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.