That means y = a*x^3 + b*x^2 + c*x + d, which represents a curve in the xy graph. a, b, and c are called coefficients. a is the coefficient for the cubic term (x^3). b is for the square term (x^2). c the linear coefficient. d is the constant.
If a, b, c, and d are assigned values. For example, a = 1; b =0; c = -1; and d = 4. Then the equation becomes y = x^3 - x + 4. We can substitute real values for x to obtain a corresponding value for each y. For example:
x y
0 4
1 4
2 10
and so on. We can then plot a curve on the graph paper.
A cubic function can be expressed in the form ( f(x) = ax^3 + bx^2 + cx + d ). To reflect this function over the x-axis, you negate it, resulting in ( f(x) = -ax^3 - bx^2 - cx - d ). To apply a vertical shift down by 2, you subtract 2 from the entire function, leading to the final equation: ( f(x) = -ax^3 - bx^2 - cx - (d + 2) ).
To solve the expression involving square roots of the form (\sqrt{a + bx} + \sqrt{b + cx} + \sqrt{c + ax}), you can analyze it by substituting specific values for (x) or using calculus to find critical points. Additionally, applying algebraic manipulation or inequalities (like the Cauchy-Schwarz inequality) could help in simplifying the expression. If you're looking for a maximum or minimum value, consider differentiating the expression with respect to (x) and solving for critical points.
Polynomials are classified by their degree as follows: Constant (degree 0) - a single value (e.g., 5). Linear (degree 1) - of the form ( ax + b ) (e.g., ( 2x + 3 )). Quadratic (degree 2) - of the form ( ax^2 + bx + c ) (e.g., ( x^2 - 4x + 4 )). Cubic (degree 3) - of the form ( ax^3 + bx^2 + cx + d ) (e.g., ( x^3 + 2x^2 - x + 7 )). Quartic (degree 4) - of the form ( ax^4 + bx^3 + cx^2 + dx + e ). Quintic (degree 5) - of the form ( ax^5 + bx^4 + cx^3 + dx^2 + ex + f ). Degree 6 (sextic) - of the form ( ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g ). Degree 7 (septimic) - of the form ( ax^7 + bx^6 + cx^5 + dx^4 + ex^3 + fx^2 + gx + h ). Degree 8 (octic) - of the form ( ax^8 + bx^7 + cx^6 + dx^5 + ex^4 + fx^3 + gx^2 + hx + i ). Degree 9 (nonic) - of the form ( ax^9 + bx^8 + cx^7 + dx^6 + ex^5 + fx^4 + gx^3 + hx^2 + ix + j ). For degrees beyond 9, the naming continues with the corresponding Latin prefixes (decadic for degree 10, undecadic for degree 11, etc.).
y= ax^3+bx^2+cx-42, assuming the point was (0, 42)
The highest power of 'x' in the equation. Ax^(2) + Bx + C = 0 is of degree - 2 AX^(3) + BX^(2) + Cx + D = 0 is of degree - '3'. et seq., The ' A B C D ' are numeral coefficients, and do not bear on the degree of the equation.
x = (d-a)/(a-c)
This is my program, and it works with all no.s except multiples of 2. org 100h MOV CX,0000H MOV DS,CX MOV SS,CX MOV SI,5000H MOV DI,5002H MOV [ DS:SI ],10H MOV [ DS:DI ],20H MOV SP,600FH MOV BX,[ DS:SI ] CMP BX,[ DS:DI ] JZ E1 JC SMALL THIK: MOV BX,0001H OK: MOV AX,[ DS:SI ] MOV DX,0000H DIV BX CMP DX,0000H JZ L1 L2: INC BX CMP [ DS:DI ],BX JC HCF JMP OK SMALL: MOV AX,[ DS:DI ] MOV [ DS:DI ],BX MOV [ DS:SI ],AX JMP THIK L1: MOV AX,[ DS:DI ] DIV BX CMP DX,0000H JNZ L2 PUSH BX INC CX JMP L2 HCF: MOV AX,0001H AGAIN: POP BX MUL BX DEC CX JNZ AGAIN LCM: MOV BX,AX MOV AX,[ DS:SI ] MUL [ DS:DI ] DIV BX E1 : INC DI INC DI MOV [ DS:DI ],AX ret
code segment assume cs:code,ds:code mov bx,1200h mov cx,[bx] mov ax,01h l1:mul cx dec cl jnz l1 mov[bx+2],ax mov ah,4ch int 21h code ends end
computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register computer has different registers each of which has different functions. ax - accumulator register bx - base register cx - counter register
A cubic function can be expressed in the form ( f(x) = ax^3 + bx^2 + cx + d ). To reflect this function over the x-axis, you negate it, resulting in ( f(x) = -ax^3 - bx^2 - cx - d ). To apply a vertical shift down by 2, you subtract 2 from the entire function, leading to the final equation: ( f(x) = -ax^3 - bx^2 - cx - (d + 2) ).
To solve the expression involving square roots of the form (\sqrt{a + bx} + \sqrt{b + cx} + \sqrt{c + ax}), you can analyze it by substituting specific values for (x) or using calculus to find critical points. Additionally, applying algebraic manipulation or inequalities (like the Cauchy-Schwarz inequality) could help in simplifying the expression. If you're looking for a maximum or minimum value, consider differentiating the expression with respect to (x) and solving for critical points.
Polynomials are classified by their degree as follows: Constant (degree 0) - a single value (e.g., 5). Linear (degree 1) - of the form ( ax + b ) (e.g., ( 2x + 3 )). Quadratic (degree 2) - of the form ( ax^2 + bx + c ) (e.g., ( x^2 - 4x + 4 )). Cubic (degree 3) - of the form ( ax^3 + bx^2 + cx + d ) (e.g., ( x^3 + 2x^2 - x + 7 )). Quartic (degree 4) - of the form ( ax^4 + bx^3 + cx^2 + dx + e ). Quintic (degree 5) - of the form ( ax^5 + bx^4 + cx^3 + dx^2 + ex + f ). Degree 6 (sextic) - of the form ( ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g ). Degree 7 (septimic) - of the form ( ax^7 + bx^6 + cx^5 + dx^4 + ex^3 + fx^2 + gx + h ). Degree 8 (octic) - of the form ( ax^8 + bx^7 + cx^6 + dx^5 + ex^4 + fx^3 + gx^2 + hx + i ). Degree 9 (nonic) - of the form ( ax^9 + bx^8 + cx^7 + dx^6 + ex^5 + fx^4 + gx^3 + hx^2 + ix + j ). For degrees beyond 9, the naming continues with the corresponding Latin prefixes (decadic for degree 10, undecadic for degree 11, etc.).
x = b/(a + c)
title ascending order using bubble sort .model small .stack 64 .data a db 34h,78h,56h,47h si_ze dw $-a ;si_ze=no of elements .code bubsort: mov ax,@data mov ds,ax mov bx,si_ze dec bx ;bx=no of passes needed to complete sorting(n-1) outlup: mov cx,bx ;cx=no of comparisions to be performed in a pass mov si,0 inlup: mov al,a[si] inc si cmp al,a[si] jb go_on xchg al,a[si] mov a[si-1],al go_on: loop inlup ;dec cx,until cx=0 dec bx jnz outlup int 3 ;breakpoint interrupt align 16 end bubsort
y= ax^3+bx^2+cx-42, assuming the point was (0, 42)
Da program pa yakho obo olambawa
The Cx Major scale will have 14 sharps (all 7 double-sharps), and the scale goes like this: Cx, Dx, Ex (same as F♯), Fx, Gx, Ax, Bx (same as C♯), Cx.