Exam 1 Solutions Problem 1a

Exam 1 Solution Math 210, exam 1, spring 2010 problem 1a solution 1a. consider the curve →r (t) = t,t2, 2 3 t3. (1) find the arc length of →r (t) from t = 0 to t = 1. (2) find the curvature at t = 1. solution: (1) the derivative of →r (t) is →r ′(t) = h1,2t,2t2i. the magnitude of →r ′(t) is computed and simplified as follows: −→r ′(t) = p. • use a problem solving model that incorporates analyzing given information, formulating a solving process and the reasonableness of the solution plan or strategy, determining a solution, justifying the solution, and evaluating the problem.

Exam 1 Solutions Exam 1 Answers And Solutions This Print Out Should 2021 fall algebra & calculus exam 1 1a page 10 of 10 4. (11 points) fr4: the function h (x) is given in the graph below. (a) (no justification is needed, 3 pts) find all the values of x for which h (x) 4. when infinity many x values are involved, use interval notation to help you. Problem 1) tf questions (20 points) no justifications are needed. 1) t f if f is concave up on [0,1] and concave down on [1,2] then 1 is an inflection points. 2) t f the function f(x) = exp(x) has the root x = 1. 3) t f log(exp(1)) = 1, if log is the natural log and exp(x) = ex is the exponential function. Here are some old first hourly exams for this course, given during four 4 years 2011 2014. the name ``hourly" has been traditional harvard terminology comes from a time when harvard exams were timed for one hour. Math 1a midterm 1 (practice 1), page 6 of 6 5. (a) (15 points) using the direct definition of the derivative to calculate the derivative of the function f(x) = √ 2−x. what is the domain of the f′(x)? solution: (b) (10 points) show that the line y = −x 3 2 is a tangent line to some point on the graph y = f(x). solution: end of exam 1 x.

Exam 1 Solution Browsegrades Here are some old first hourly exams for this course, given during four 4 years 2011 2014. the name ``hourly" has been traditional harvard terminology comes from a time when harvard exams were timed for one hour. Math 1a midterm 1 (practice 1), page 6 of 6 5. (a) (15 points) using the direct definition of the derivative to calculate the derivative of the function f(x) = √ 2−x. what is the domain of the f′(x)? solution: (b) (10 points) show that the line y = −x 3 2 is a tangent line to some point on the graph y = f(x). solution: end of exam 1 x. Practice final exam solutions math 1a fall 2015 problem 1. a 13 foot ladder rests against a wall. the base of the ladder is pushed toward the wall at 2 feet per second. how fast is the top of the ladder moving up the wall when the base is 5 feet from the wall? solution. Write your initials at the top of each page. the maximum score on this exam is 70 points, and you have 75 minutes to complete this exam. each problem is worth 10 points. there are no calculators or aids of any kind (notes, text, etc.) allowed. as always, rref means “reduced row echelon form.”. Day, problem 1c problem 1 (5pts). consider the rst order equation (x2 1) @u @t @u @x = 0: (1.1) (a)solve for and sketch the characteristic curves for this equation. (your sketch should be large and clear { make it at least 1 3 of the page!) (b)consider the ivp u(x;0) = g(x) for this pde: (i)does this ivp have a solution on the domain 1 0?. Midterm 1, math 1a, section 1 solutions 1. let f (x) = 2 x, g (x) = 2 x. find f g, f g, f g, and g f , and nd their domains. determine which of these functions is even, odd, or neither. solution: first, we nd the domain of f and g. if f (x) = 2 x, then.