a2e ax2 a2e + 16 = 0 ay2 For which 1-0 (0, y) = 0 2-0 (1, y)=0 3-0 (x , 0) =0 4-0 (x, 1) 0

Q: 2x+5 Differentiate: y =

A:

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: er + e-x3 d) k(x)= 3e* + 4x

A: Given function, k(x)=ex+e-x33ex+4x

Q: Js:(Jī - x*) dz = 15/x (A) vX - 15x? +C 2 (B) 5x - 3 + C 4 (C) 2x5/2 _ 5x + C 4 (D) 25x5/2 5x1 + C 4…

A: Given: ∫5x(x-x2)dx

Q: (2x)(x-y+5)(5y)

A: Firstly, we multiply 2x by each term of x-y+5

Q: -メ~1) (メ-2) (x+3)? xp (1-X-

A:

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: G(y) А + Be 10

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: x² +25 D)+ Xx Evaluate the following integral f (6) A) 4 Inx-21-In/x+31+ C C) 4 Inx-31-In/x+21+ C…

A: We use partial fractions to solve the given integral.

Q: If y = 3, then dy de 3x+2" |3|

A:

Q: 4- 2. -2. -4 -6 10

A: Question is based on Observation of given graph.

Q: 17 (4D? + 4D + 1)y = 0

A: It is differential equation problem

Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

A:

Q: (5) The form of the partial fraction decomposition of f(x) B C A) С + x-2 B x² +25 CX+F x²+25 C)+…

A: To determine the form of the partial fraction decomposition  of fx=11x4-2x3-4x2+5xx-2x2+252. Note:…

Q: (x²-x) y¹ = (x²+1) y + 12x (x²-1) ³ y' when x = 2, Y = 9

A: Given differential equation is  x3-x y' = x2+1 y  + 12 x x2-13                      ⇒      x3-x…

Q: (e) 7 x² 3x2-6x x²-4x+4 (f) 1−4+1/2/2

A:

Q: Prove that ax² bx C (x-a) (x −b) (x −c) * (x − b) (x − c ) + x = c + - x³ (x-a)(x-b)(x-c) =

A:

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

A:

Q: h(z)=-z5+8z3-5z2-7z+35      differentiate

A:

Q: If 6x° +x*-y? 3x² +y? if (x, y) (0, 0) f(x, y)= if (x, y)= (0, 0) then f,(0, 0)=

A:

Q: 64+ 203 - 6D² - 16D -8)y =D

A:

Q: 2- -2 /2 6 grand -2 -4 -6 -84 --00 ॥ - - - +4x-6 - 4 - h I = (x-2)(x – 6)

A: Graph of y=-1/2x^2+4x-6 is:

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: 3(z+5)=12

A:

Q: 3(x+5, =ax-5

A:

Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

Q: 2. Given that f is a differentiable function with f'(3) = -5, find g'(1) where g(x) = f(4x-x²)

A: The given function is,

Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C…

A:

Q: 1(会) %3D Evaluate. Assume u > 0 when In u appears. 9) [x8x9 - 4)4 dx 16x37 16x 15624 256) dv 26 16x…

A:

Q: gA (D-D-6)y(x) = xe Usled a *5x+2) - 1 хе 50 1 y,(8) 50 y,(x) = 50 xe (5x-2) - y,(x)-xe" (5x+2) -i

A: Given