Find L[et t*] 3 (8-4)5 (s-4)4 1 s-4 (s+4)³

Q: Use linear approximation to estimate (0.99)2 + (3.01)² – (0.99)(3.01). -

A: Topic - approximations

Q: Find f-1 if f (z) = iz + 1.

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Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: 4. Give an example and a proof to not increase intrinsic distance.

A: We have given statement that Local isometries can shrink but not increase intrinsic distance. We…

Q: 6. tanh (0.573 - j0.783)

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Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

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Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: 2 - ) at x = 4 1+ x)

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Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: @) 2) Fs of (x) = -PFC (Psy) -} [ If f (x,y) → as 6004X proof. (H-w.) then в

A: Introduction: The Fourier sine and cosine transforms are variations of the Fourier rework that do…

Q: 1 If f(x,y,z)= of then x-y-3-

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Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

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Q: 9. In(1 – x²) = -) on the interval (-1, 1) n=1

A: We know that ln(1-x)=-x-x22-x33-x44-...=-∑n=1∞xnn     ...(1) on the interval (-1, 1)

Q: (4n². En=1 2 - 2n + 6, - limit comparison test -1 (8,² + n – 8) 7

A: The given series,      ∑n=1∞4n2-2n+68n7+n-8

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: 9. Determine by the root test if Ln=2 (4n-5\n 2n+1, converges or diverges.

A: Explained below

Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: 3)suppose fle) isadifferentialile funehou on the intervall E-7,1J Such that l-7) =4 and f6)=1.…

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Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: у" - In x

A: Given: y''=lnx

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

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Q: 2. Rainwater accumulates in the ditch as follows: 10 centimeters of water in the 1st second, 15…

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Q: Show that x + is increasing on [1, 0).

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Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: 4 Find the distance between u = -3and z= - 1 8

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Q: In the second order linear ODE with constant coefficients ау +by'+с%3D0 the coefficient a should be…

A: Now we will solve the problem.

Q: Find lower bound for f(n) = 5n².

A: To find the lower bound for f(n) = 5n2

Q: The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let x and y be the values of the two positive numbers whose sum is 16. Need to minimize the…

Q: he executives are interested le of 500 customers yielded nore than 5% of its current tuation.

A: Given data number of success , x= 40 sample size, n = 500 population proportion,p=…

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1>0, so that when n>N1, we have…

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

Q: None of These cosh(4t) 7. 2. 7. - sinh( 21) sinh(4t) 7. cosh(21) 7. Sて 1/2 1/2 1/2 1/2

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Q: What is the number of derangements D4 of the set {1, 2, 3, 4}? (Give the exact

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Q: The average number of customers at a windów of a certain bank per minute during banking hours is…

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Q: 2. Determine the positive real root of the function f(x) = In(x²) – 2 with initial guess [5/2, 3]…

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Q: Find domain and range of the funetion f(x, y) In[e-x' -y'1

A: The ln function is undefined for negative arguments. This will ensure that argument is positive. So…

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A: