1 3 1 and B = 1 4 -1 -2

Q: CALCULATE (16t³, –9t², 25tª) dt.

A: To evaluate the given integral- ∫01(16t3,-9t2,25t4)dt Here we will use the following integration…

Q: b) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i

A:

Q: Let x⁷ + 4=0, x1=-1.  Use newton's method to find x3.

A:

Q: What is the Jacobi equation?

A:

Q: Use the linear approximation to approximate (123)/3.

A: Let's find.

Q: Demonstrate the following relationship involving the dot product and cross product (a) u. (v x W): =…

A:

Q: (u x v) · v=,

A: The cross product of the vectors u and v is u×v which is a vector perpendicular to both the vectors…

Q: Find the principal value of cot−1(1+2j).

A:

Q: Evaluate dt 13. 1 - sec t

A:

Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: 2 Vi – 1 - ) dt

A:

Q: Show that (0, 1) ~ R.

A: We need to show that the open interval (0, 1) and R( the set of real numbers) are equivalents. The…

Q: d 1) Find sec dt 2)

A:

Q: Express in the form of x + iy: 6-7i (i) 5+i 1 + (3+i)2 1 (ii) (3-i)2

A:

Q: Sketch the following given that Z = x + yi (2-3) (2+3) = 2

A: Given ,                 (z-3)(z+3) = 2   ;    z=x+iy

Q: Find:

A: Given,

Q: Prove Equationally that F A → B → A.

A: Given: ⊢A→B→A

Q: What does it mean for the differentiability of a function if only one of the Cauchy-Reimann…

A:

Q: What does it mean for the differentiability of a function if the Cauchy-Reimann equations (Ux = Vy…

A:

Q: LZHP - DTNV. Complete the statement below. ZZ = _2_

A: Consider the following condition: LZHP~DTNV Hence, ∠L≅∠D∠Z≅∠T∠H≅∠N∠P≅∠V

Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: Let Z₁ = a 2 i Z₂ = 3 - 2 i If Z₁ x Z₂ = 8 - 14 i, calculate a:

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Q: tCt) = 2t (ARCCOrt) + In Sitt2 2, %3D

A:

Q: Determine which of the following equations always valid (give an algebraic proof) are: (Q59) a'b +…

A: Boolean algebra plays a crucial role in digital logic design, providing a framework for analyzing…

Q: Express −i+j in the form [a,b]

A: Simplification

Q: Given that F′=f, use the substitution method to show that ∫f(ax+b) dx=1aF(ax+b)+C, for nonzero…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.