Problem #2: In a mixing vat there are initially 100 litres of volatile liquid. 1 litres of fresh liquid are added per hour, but 5% of the current content of the vat is lost each hour due to evaporation. How many Litres of liquid are there after 4 hours? Enter your answer Problem #2: |:| evmbelieelle es in these examples Problem #3: Find a Cartesian equation of the parametric curve x = Vt + 2, y = Vt - 2. (A) 12 - x2 = 4 (B) 12 - x2 - 2 (0) x2 - 12 = 4 (D) x2 - 12 - 3 (E) 12 - x2 - 3 (F) x2 - 12 = 1 (G) x2 - 12 = 2 (H) 12 - x2 = 1Symbolic answers must be entered using notation similar to the examples given below. If you enter decimal numbers for questions that indicate that a symbolic answer is required, it will be marked as zero, regardless of whether the decimal number is correct or "t. Integer numbers (positive, negative, and D) are allowed. Below are some examples. Example Math Expression How to Enter the Answer 2 2 % 3/5 on infinity 28+1 2Aa+1 2 +25 2+exp{5) 5?\" 5*pi/9 slnz 4/T3*ln(2} sqrt [2} 5" {1/3} sqrt [5exp (3) +2*ln (7*pi)) fac(5) abs (x) Problem # 1: Let y(x) be the solution to the following initial value problem. xy'+?x5y=m, x>0,y(1)=3. x Find y(e). Enter your answer Problem #1: |:| symbolically, as in these examples Problem #5: The parametric curve .7: = 21'4 + 6:2 + 1, y = 42'3 4: has two tangent lines at the point {9, 0). Find their slopes. Enter your answer Problem #5: |:| symbolically, as in these 5395'\" V\"ra"5\"\" \"\"th 3 examples comma