FINAL EXAMINATION - DEC. 18, 2019 Challenge Problems A, B, C, and D: each worth 3 points extra credit. A Find the m...
solve each equation algebraically:
a) 3+7e^2x=24
b) 2^x+5=7^3x+1
c) 3^(2x) - 3^(x) - 20=0
d) log x + log (x-5)=2
^6 ^6
e) log(x+2)-log(x-1)=1
f) ln(log (x^2 + 2x))=0
^3
d og, 71 Solve each of the exponenti a tions call the as well as a decimal approximation to the nearest the get the approximated solutions Yo d ac t o a) 3+72-24 d) 3 -3-20 - 0 get the approximated solution a) loe +log.-5) = 2
I need help with B, C, D. These are Calc 3 problems
32. Suppose a particle of mass m has position given by r(0) =< 1,0,0 >, and velocity given by v(0)0,1,-1 > at time t = 0. Also, assume that for every time t 20 the particle experiences only the force given by the vector function F(t) = m < -cos(t), 0, sin(t) >. Disregard units in this problem a) Use Newton's Second Law, F(t) = ma(t) (where a(t)...
ppsMDb Youlube M Inbox- navee Question 1 6 marks he points A(a,b) and C(c,d) are the opposite vertices of square ABCD in the Cartesian plane What are the coordinates of the other two vertices? Be sure to cover all cases of where A and C could bel (a) 4 marks (b) What is the area of the square ABCD? 2 marks P A(ab) (Hint: you may find the following construction useful. Calculate both p+q and p-q) C(c,d) g Minh Pham...
(10 points) Let an- Find the smallest number M such that (a) an-1 0.001 for n M (b) lan -10.00001 for n M (c) Now use the limit definition to prove that lim an 1. That is,find the smallest value of M (in terms of t) such that jan -1l ct for all n >M Note that we are using t instead of e in the definition in order to allow you to enter your answer more easily). (Enter your...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
please help me answer question 1 to 3,
thank you
Chapter 9, Solutions, Review & Extra Credit. 2 Points for each XC correct answer; 6 points total, max. Partial Credit given. Suggestions...work in teams [it will improve the learning experience] 1. Solutions-A solution forms when a solute (the smaller quantity) dissolves in a solvent (the larger quantity). In a solution, the particles of solute are evenly distributed in the solvent. A solute may be a gas, liquid or solid. A...
Projections and Least Squares
3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to the set of points P . Graph your solution along with P (feel free to graph all functions on the same graph). . Compute sum of squares error ((O) -0)2((1) 8)2 (f(2) -8)2+ (f(3) - 20)2 for the least squares fit you found (a)...
3) tx) = x2-2x - 3 A) minimum 1 D) minimum - 4 B) maximum: -4 maximum 1 Use the figure to solve the inequality. 1) f(x) < 0 g(x) = 0 ten ya 8(x) = f(x) A)(x-1<x<2): (-1,2) C) xxs-1 or 2):(--,-1or (2 ) B) x < -1 or 2): --.-1) or (-) D) I-1 sxs 25:-1,21 the western MULTIPLE CHOICE Choose Solve the problem 1) Suppose that ) -- 9 and 4 x - 13. (a) Solve fox)...