1s Rewrite the nale as a (x)

Q: x+y uis = 1 n upi = no • prove that x-+ y-

A:

Q: 1. Evaluate dydx

A:

Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

Q: b 1+ e2x Evaluate the integral. ex xp 1 + e2x

A: Given that: ∫01ex1+e2xdx

Q: 5. Use geometry to evaluate (V4- x² dx 2 O 2n O 4t

A: Solution:

Q: T/2 J-In

A: We have to evaluate the given integral First integrate the integrand with respect to z, then with…

Q: sion By A knawn x²-5x_x+5 ーちメメ -X cr ar

A:

Q: 9. Evaluate the integral J 4x2+9 1 dx

A: We can solve the integral as below.

Q: Q6) Compute the integral 3 1 dxp -з (х +2)3

A: Here we solve the given integral.

Q: Find the linearization of y = eV3x at x = 64. (Use symbolic notation and fractions where needed.)…

A: Solution: The objective is to find linearization of the given function

Q: Jse de Moivre's Theorer

A: To prove that            sin3θcos3θ=3sin2θ-sin6θ32

Q: 3. x In x A In С п IInxI + С - + C Inx B D In I In xI + C Inx

A: ∫πx ln xdx

Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: 4sin(2x)=4cos(x)

A:

Q: = x3 + x - rith starting d with the of x after the

A:

Q: 5. (a) sech 0 (b) coshl1

A:

Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

A:

Q: S Prove that L(cos 3t) (s²+9)

A: Given L(cos3t)

Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: 1. Evaluate using the Fundamental Theorem of Calculus: 1 1 dx x2 (a) - -2

A: Given: Let I=∫-2-1 x-1x2 dx To Find: To evaluate the given integral by using the Fundamental Theorem…

Q: Evaluate the integral. 7 √49-x² √49-x²-22 49-x² 1 √²-3³ (x² + y² + 2²)1/2 dy dz dx =

A: Solution:-

Q: Q: Prove the trans ferm; formula's by definition of Lapia (Dirac Delta fauncden) %3D

A: A delta function is defined as δ(t-a)=0     for t≠a∞   for t=a      . The fundamental property of…

Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: [5] Use the Gaussian quadrature to approximate the integral 1 x²e¬*dx. (a) Choose n = (b) Choose n =…

A: As per instruction we are allowed to answer only two sub questions. The generalised Gaussian…

Q: dx Evaluate the integral: 3/2 64 – (9z)*|

A:

Q: 2. 36 +x* dx =)

A: We have to solve

Q: ues of M = 1

A:

Q: 1. Use integration by parts to prove the reduction formula S(Inx)" dx = x(lnx)" – n S(Inx)"-1dx. %3D

A:

Q: Compute dx using the techniques as presented in class and in our textbook. Show all 2x +5x-3 the…

A: we first factor the denominator

Q: •1-i Evaluate 4z dz . J3i

A:

Q: 10. Using the substitution u 2x - 1, prove that %3D 3 8 dx J1 (2x-1) 25

A:

Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: 6. Show all work for how to compute: In(x)dx. (Show work for how to find the antiderivative 1 of In…

A: Use integration by parts

Q: =Xtanx dk, Prove that ="IH (n+1)I,+(n-1) -1 T 1 2 n

A:

Q: az Find for z = e2z-y.

A: Given : z = e2x - y

Q: (1+2 In æ)*

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: 7. | (x² + + 2x) cos x dx

A: Apply the integration by parts in the given integral. Let  u=(x2+2x) ; dv=cosxdxThen,du=2x+2dx ;…

Q: Using Fundamental Theorem of Calculus (FTC). Compute the following

A:

Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +…

A:

Q: Can i get help step by step with this problem?

A: Given,

Q: xcosr (i) Find the Cauchy principal value of the integral dr. ² + 4x + 8

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: nse in Fig. if R d charge are zero

A: The voltage v(t) is calculated as

Q: dx Evaluate the integral: 3/2 64 -

A: To solve the given integral problem.

Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…

Q: mith Exe:- Jk +3 - tyk+Z +ZYkxi +36Yx =1+2

A:

Q: 3. Gien that F cxy) = s Can servative find putantial -> functin fo Ě a

A:

Q: dx Evaluate the improper integral (x-3)2

A: Given query is to find the value of the integral

Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.)…

A: topic- linearization of a function