(2 % points each) Use appropriate logarithmic properties to make the following equation easy to dy...
(2 points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find - or you and use trig identities to simplify to the simplest answer for full credit. dx V 2b. In y sinx
(2 % points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find or yw and use trig identities to simplify to the simplest answer for full credit. dx 2a. In ( x cos y)
(2 points each) Use appropriate logarithmic properties to make the following equation easy to dy differentiate. Find or Yx) and use trig identities to simplify to the simplest answer for full credit. dx 2a. In(x cos y) el
1. (5 points) Find the area of the region enclosed by a parabola y x2 - 4x - 5 and a line y = x-5. To get full credit, you must draw a picture of the problem first, then find the upper and lower bounds before finding the area. (2 42 points each) Use appropriate logarithmic properties to make the following equation easy to dy or you differentiate. Find (dx and use trig identities to simplify to the simplest answer...
4) (25 points) Find the particular solution of the differential equation. Use dy 4x4 separation of variables. dx y4 y(0)=2 5) (15 points) For a certain drug, the amount y(t) remaining in the blood after t hours satisfies y' = -0.1y with y(0=2 mg. Find y(t) and use your answer to estimate the amount present in the blood after 2 hours. (Hint: use the appropriate unlimited, limited or logistic model from the Models of Growth table. State the model you...
Solve the following logarithmic equation. Use a calculator if appropriate. log 12(x-2) - log 12(x+5) = log 123 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Simplify your answer. Use a comma to separate answers as needed.) OB. The solution is the empty set,
Full Name 6. a) Use only the Logarithmie Properties to find the exact value of the following expression: log(1) In(e) + 21092() + log (5) log(105) b) Mentally evaluate the following logarithms (exact value): log (16) = log() log(1000) = c) Find the exact value of loge(16). Clearly show the algebraic strategy we developed in class. d) Use the Logarithmic Properties to contract the following logarithmic expression to a single logarithm. Show all your steps and simplify your final answer...
Consider the following differential equation. (x2 − 4) dy dx + 4y = (x + 2)2 Consider the following differential equation. dy (x2 - 4) dx + 4y = (x + 2)2 Find the coefficient function P(x) when the given differential equation is written in the standard form dy dx + P(x)y = f(x). 4 P(x) = (x2 – 4) Find the integrating factor for the differential equation. SP(x) dx 1 Find the general solution of the given differential equation....
3 Points Question 3 3 cos(20) Find the PERIOD of the following function: Y- TE 1 210 3 3 Points Question 4 Verify the following identity using the guidelines for the verification of trig identities. You have to write all the steps to get full credit. (tan?x + 1)(1 - cos²x) - tan²x. Use the editor to format your answer 3 Points
(15 points) A Bernoulli differential equation is one of the form dy dar + P(x)y= Q(x)y". Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=yl-n transforms the Bernoulli equation into the linear equation du + (1 - n)P(x) = (1 - nQ(x). dx Use an appropriate substitution to solve the equation xy' +y=2xy? and find the solution that satisfies y(1) = 1.