aln(absolute value secax) + C
∫ ax dx = ax/ln(a) + C C is the constant of integration.
Theata = Tan^-1(Ay/Ax) Theata = 75.7 deg
yes
(ax)(ax) = a2 + 2ax + x2
Da program pa yakho obo olambawa
Because y = ax is maximum when a = x
No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.
the JMP command jumps from a line in the script to another when it is read: JMP here INC ax here: DEC ax the program will skip the phase that increases ax. (make sure you tag the line it needs to jump to like in the example) you can also use JMP as an "if" command, for example JAE(Jump if Above or Equal) with the CMP (CoMPare) command like so: CMP ah, al JAE here ;(if al is not below ah...) INC ax ;(increase ax by 1) JMP there ;(exit the if command) here: DEC ax ;(else, decrease ax by 1) there: [the rest of your program] there are JMP commands for every greater lower and or equal situations.
No. The product of sin (ax) and sin (bx) cannot be represented as a single sin unless a and b are equal.
Best way: Use angle addition. Sin(Ax)Cos(Bx) = (1/2) [sin[sum x] + sin[dif x]], where sum = A+B and dif = A-B To show this, Sin(Ax)Cos(Bx) = (1/2) [sin[(A+B) x] + sin[(A-B) x]] = (1/2) [(sin[Ax]Cos[Bx]+sin[Bx]cos[Ax]) + (sin[Ax]cos[-Bx]+sin[-Bx]cos[Ax])] Using the facts that cos[-k] = cos[k] and sin[-k] = -sin[k], we have: (1/2) [(sin[Ax]Cos[Bx]+sin[Bx]cos[Ax]) + (sin[Ax]cos[-Bx]+sin[-Bx]cos[Ax])] (1/2) [(sin[Ax]Cos[Bx]+sin[Bx]cos[Ax]) + (sin[Ax]cos[Bx]-sin[Bx]cos[Ax])] (1/2) 2sin[Ax]Cos[Bx] sin[Ax]Cos[Bx] So, Int[Sin(3y)Cos(5y)dy] = (1/2)Int[Sin(8y)-Sin(2y)dy] = (-1/16) Cos[8y] +1/4 Cos[2y] + C You would get the same result if you used integration by parts twice and played around with trig identities.
If x is a null matrix then Ax = Bx for any matrices A and B including when A not equal to B. So the proposition in the question is false and therefore cannot be proven.
The difference is in the shape of the head of the ax.