2300 is ur answer.............
B. It would be 5/2 and -3/4.
Answer:
1006.72
Step-by-step explanation:
Multiply 9.68 by 104
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
11. 3^2 • 3^5 < 3^8
12. 3^3 • 3^3 > 3^5
13. Option C.
Step-by-step explanation:
11. Which of the following expressions is true?
A. 4^3• 4^4 = 412
4^3• 4^4 = 4^7 = 16384 ❌
B. 5^2 • 5^3 > 5^5
5^2 • 5^3 = 5^5 ❌
C. 3^2 • 3^5 < 3^8
3^2 • 35 = 315 ✔️
D. 5^2 • 54 = 58
5^2 • 54 = 1350 ❌
12. Which of the following expressions is true?
A. 8^3 • 8^2 < 8^4
8^3 • 8^2 = 8^5 ❌
B. 4^4 • 4^4 = 4^16
4^4 • 4^4 = 4^8 ❌
C. 2^2 • 2^6 < 2^8
2^2 • 2^6 = 2^8 ❌
D. 3^3 • 3^3 > 3^5
3^3 • 3^3 = 3^6 ✔️
13. Write the value of the expression: 3^4/3^4
3^4/3^4 = 1
The correct answer is C. 1 ✔️
