12.1 Given f(t) = 4tî - 1° +2+3 + vt +18 Find the domain of r(t) in interval notation. Find limi(t). t=0
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step by step please
(1 point) Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) = (In(13t), vt + 10, 1 19 t b) r(t) = (vt – 4, sin(3t), t²) t 4t c) r(t) = - t1/3 t2 9
For f(t) = 3 +5t, For g(t) = 3 - t, find f(1) +g(-2). 1. 8 2. 13 3. 5 4. 3
8. [0/5 Points] DETAILS PREVIOUS ANSWERS Find the derivative of the function. f(t) = 43/2 log&(vt + 3) 1 3x?loge (Vx+3) 3 2 f'(t) = X + 2 2 ln(6)(x+3) x
2, let f(t)-〈 2t 2-t < 4 ; g(t) = . 0 otherwise 0 5<t (a) Write each function in terms of the unit step fun ction (b) Plot each function (c) Find the Laplace transform of f (t) and g(t)
2, let f(t)-〈 2t 2-t
1. Consider the differential equation" = y2 - 4y - 5. a) Find any equilibrium solution(s). b) Create an appropriate table of values and then sketch (using the grid provided) a direction field for this differential equation on OSIS 3. Be sure to label values on your axes. c) Using the direction field, describe in detail the behavior of y ast approaches infinity. 2. Short answer: State whether or not the differential equation is linear. If it is linear, state...
just step 3 and 4
X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4. Domain 5. X-intercepts and y-intercepts (use calculator to approximate value. Round to two decimal places) 6. vertical and horizontal asymptotes (if exist) Step 2 Analyze f'(x) 6. critical points 7. intervals on which f(x) is increasing 8. intervals on which f(x) is decreasing 9. minimum, if exist 10. maximum, if exist Step 3 Analyze f"(x) 4. concavity upward 5. concavity downward 6. point(s) of...
Let F(x) = ſ vt(t+1) dt. Find F'(x) (again, the derivative!!). In()
Consider the following functions. f(-2) = 5 and g(-2) = -14 Step 4 of 4: Find (-2). Answer How to enter your answer -2) =
Find the derivative of the following. ga) - J. (+ vt - t) dt g'(x) = (22=2+x= x2) *