a) L{2} b) L'e c) L{t} -21

Q: Evaluate: a) +7sec2 x dx /x 1+x?

A:

Q: d 는Gx+ 13)7 +C)= (x + 13)° dx

A:

Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: السؤال 10 L(2– 3t) 2= 4. 6 6 S s2 4 12 18 .b O S s2 4 12 9 s² 3 C O4 4 6. s? 3d O 3. + 2.

A: We need to find the Laplace transform of 2-3t2 Now, we have an identity a-b2=a2+b2-2ab Using this we…

Q: 3-2 P. (4a² b)x3(ab ³) ==

A:

Q: What is the area of the kite? (2, 2) (-4, –2)(6, - 2) (2, - 6)

A:

Q: dx (4-2²)° (뿌): O none of these 1/2 11/8

A:

Q: In(2) 1- xy ey dxdy

A: Given :            ∫01∫0ln(2)xyexy2 dx dy

Q: Solue! A Sx+ x-y) dx + x dy =0

A:

Q: e)S 2х-4 dx х3+5х

A:

Q: 14. Differentiate. a) y= 12 10 b) y = (x + 2√√x) ex

A:

Q: V3 tan 30 = - 1

A: tan π/6 = 1/3

Q: 9. Which equation could be used to find the area of the shaded triangle below? (TEKS 6.8B, RC3, SS)…

A: The objective is to find the area of the shaded triangle

Q: L dxdydz

A:

Q: Please explain how.

A: We have given a function f(x).

Q: e) lim (5e" - 3e/") E -00

A: Given:  Let y=limx→-∞ 5ex-3e1x To Find: To evaluate the given limit.

Q: Evaluate: Je(4-)dx

A: Given: ∫e(4-x)dx

Q: sin(Va-4) lim -16 16(-1)

A: For any real value of b, the expression, limx→bx is defined aslimx→bx =b . If limx→bf(x)g(x) takes…

Q: 4 dx 8)

A: Consider the given definite integral.

Q: fa) a z n-> (2-4)스

A:

Q: S dx x² √√9-x² 2

A:

Q: I attached the problem below.  Thank you for your help! :)

A: Given:

Q: d) 14 tan*x dx

A:

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: 2 (0² 20 0 Ans v=c₁ +c+.

A:

Q: [e2" + 2**]dx

A:

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

A:

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: 0o dx Q1. (a)Find /," 3

A:

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: 1 4.) dx 36 22 5.) 10x d.x VI-

A:

Q: 6. 30) dx x2 +1

A:

Q: Suppose a E R, where a > 0, a # 1, what is[a"]? dx a" In(a) © xa²-1

A:

Q: I+1 dr

A:

Q: d-d Answer: d-(bvd) Kon

A: Since you have posted a question with multiple sub parts, we willprovide the solution only to the…

Q: d(a, C) := ínf d(a, x)

A:

Q: what is the area of this triangle ( show steps)

A: