Evaluate the definite integral. ∫6 to 1 t^4 ln(4t)dt
J. Evaluate the limit um 4x²-74-15 X3 y2.9
Let dy/dt = y + 4t + (y + 4t)^2 – 4. Use change of variables u = y + 4t to find the general solution.
dy Solve the initial value problem (t+1). dt = y + (4t² + 4t) (t + 1), y(1) = 9 g(t) =
Evaluate the following integrals: (a) J (t2+5t -1)6(t)dt (b) fix(t2 + 5t-1)δ(t)dt t) is a inction.
7. (10 points) Evaluate integral ſeti + sint j + 1 k) dt. 2t-1
Evaluate the following definite integral to two decimal places. 25 20.061 0.04(25 – t)dt e 0 25 s 0 061 0.04(25 - dt = 1 (Round to two decimal places as needed.)
Evaluate the integral.∫(sec²(t) i+t(t²+1)⁵j+t⁴ln(t)k)dt
answer 1,2,3,4 thank you.
HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
HW4.5: Problem 1 Previous Problem Problem List Next Problem 1 point) Evaluate each of the integrals (here &(t) is the Dirac delta function) (60-3)dt (2)cos(3t)S(t -2) dt- (3)/eTst cos(4t)(t - 3) dt - c0 sin()(t - 5) dt-
dx Determine x= f(t) for (t? +4t) 4x + 4,t> 0; f(1) = 3. dt For (1? + 4t) dx dt = 4x +4, x= f(t) =