Res (z(z+1)) a) 0 b) 1 c) -1 d) 2 e) i z=00 ||

Q: Let y = (-4 + 35)ª. Compute O A) 6 O B) 24 O D) -6 O E) none of these

A: Calculus Question

Q: i) (i x j).k = 2.

A:

Q: dx e) J 25+162 25+16x2

A:

Q: f(x) = mx2 - 4x - 3m = m = ? A). 3 B) 5 4 C) - 3. D) - 2 8 E) 3.

A:

Q: 2) O) by use chong of variables find

A: we have to find the following Integral

Q: d) (V125) e) 2lo82(7) elnv5

A:

Q: If y = 3u² + 2u and u = √² +5, fip S da would be: (6√2²+5+2)(√) (6 (3u² +2u) + 2)(√5) ○(3√2²+5+1)(√)…

A: We can find the derivative as below.

Q: e4t b) - dt e2t+3et+

A:

Q: c) 34.) Solve for x: ax - 3 = x + d %3D a) x = d+3 d) x 3= a-1 b) x = ²- 1. d- 3 e) x = a. d-3 d- 3…

A: To solve the given equation for x

Q: dx Evaluate: a) - x² +4x + 20

A:

Q: 1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H…

A: We will use given definition to find the solution.

Q: (t + 1)(t2 + 2t – 5)³dt

A:

Q: dx бх3 + 2x2 + Зх dx = Q(x)/x² + 1+ a Vx2 + 1 Vx² + 1 What is the value of Q(1).1

A: The given integral is: I=∫6x3+2x2+3xx2+1 dx

Q: Find the difference quotient, a) 5h²+2a+h+6 h Ob) 10a + 5h + 1 O c) 10a +1 Od) 5h + 1 f(a+h)-f(a) h…

A:

Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If f(x, y) = (16x +y²)±, then f_(0,0) = A) 0 B) 1 C) 4 D) 2 E) Does not exist

A: Given f(x,y)=(16x^4+y^2)^1/4 First we will find fx as shown below and then substitute the values…

Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: d²y| -x² + y² – xy + 1 = 0 — ху + 1 3 0 dx² (1,1) 12 - O A) 3 O B) -10 о с) 10 D) not fne E none

A:

Q: If 2x + 4y = 7x – 6y, then 1/x : 1/y is (A 2:1 в) 1:2 (с) 1:3 D 3:1

A: Given, 2x+4y=7x-6y We have to find 1x:1y.

Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: Integrate: Show that B(p+1,q)+B(p,q+1)=B(p,q).

A:

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

A:

Q: VXVYP(x,y) is equivalent to VyVxP(x,y). O True O False

A: ∀x ∀y Px, y is equivalent to ∀y ∀x Px, y.

Q: d 20. a) dt b) Evaluate: + dt 1

A:

Q: If f f(x) dx 2 and g(x) dr 5 what is 2f(x) +g(x) dæ? 0 4 O 11 13 0 7

A: Let ∫abf(x)dx=m and ∫abg(x)dx=n then ∫ab[af(x)+bg(x)]dx=am+bn

Q: If hx) = Jx-4 then h*(-1) – h(20) is %3D a) 9 b) 5 c) 1 d) 4

A:

Q: z2+4 Sc 7-szl-4 dz, where C: |z -3i| = 1.3

A: Given integral is  ∫Cz2+4z2-5zi-4dzwhere C: z-3i=1.3

Q: True or false? a) r>1 if and only if z> 1 d) If r>0 and I0 b) (VI E R)(r- < 0) e) (3r € Z)((2r…

A: True or false

Q: 18. Evaluate L (s² + 1)²

A:

Q: (D - 3D% Dy+ 4 Dg )u = e+ Ans. u= 中ーx)+中2+2x)+x中2iy+2x)+ る ×2 +る

A: