answer all questions or don't respond #11 (6 pts) We are given the following information about...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
Please show ALL of your work as if you don't have a calculator. Thanks! Activity: A Journey Through Calculus from A to Z x g'(x) sin(x - 1) x-1 kx2 - 8x +6, * 1 1<x<3 -4 13 h(x) = f'(2) 14e2x-6 – x2 +5, x>3 108 2 3 e -1 Consider f'(x), the derivative of the continuous function f. defined on the closed interval (-6,71 except at x = 5. A portion of f' is given in the graph...
please answer all this is all the information that was given Provide an appropriate response. ...-18+,x1 Let f(x) = 2**•***- 1 - *** Its graph follows. 4x=1 (a) Find the indicated (infinite) limits: (You may use the graph above or the function notation to calculate the limits.) (i) --- f(x) (ii). f(x) (iii) f(x) (iv) = f(x) (b) Is there a vertical asymptote at x = 2? (Use limits to justify your answer.) MacBook Ai (b) Is there a vertical...
Answer both questions please Question 13 0/ 1 point If we are given a graph which shows a plot of the position as a function of time, xt), how will the instantaneous yelocity at point C be related to the graph? A) it would equal the slope of the line tangent to the x(t) curve at point B B) it would equal the slope of the line tangent to the x(t) curve at point C C) it would equal the...
Please solve the following 2 functions according to the information given and show all the steps Plz 4. Let f(:1) = (cos x)" (a) Find f'(:1) (b) Find equation of the tangent line at (27,1). (c) Find the linear approximation of f(x) at r = = 1 3. Given the function y sin 2.x = x cos 2y. (a) Find y'. (b) Find equation of the tangent line at (2, 1). (c) Find equation of the normal line at (),...
Graph of f Let f be the continuous function defined on (-1,8) whose graph, consisting of two line segments, is shown above. Let g and h be the functions defined by g(x) = h (2) = 5e-9 sin 2. -x +3 and (a) The function k is defined by k (x) = f(x) g(). Find k' (0) (b) The function m is defined by m (x) = 2007). Find m' (5). c) Find the value of x for -1 <...
please explain in detail 4 -11 23 4 Graph of f Let f be a continuous function defined on the closed interval -1Sxs4. The graph of f, consisting of three line segments, is shown above. Let g be the function defined by g(x) = 5 +1.f(t) dt for-1 $154. (A) Find g(4). (B) On what intervals is gincreasing? Justify your answer. (C) On the closed interval 1 s xs 4, find the absolute minimum value of g and find the...
please answer the following parts. thank you in advance Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...
1. Given the graph of the function f(x) below, find the following fi 6-5-421/4 2 345 6 -2 -6 The domain of f(x):The range of f(x): Interval(s) where f(x) is increasing: . The -intercept(s) of f() The value(s) of z for which f(x) 1 Interval(s) where f(x) is negative: . Is the function f(x) invertible? YES or NO (Circle one) Explain your reasoning: . The portion of the graph from z -1 to x-2 is linear. Find an equation for...
Finding Absolute Maximums and Absolute Minimums. We are guided here by two theorems about extreme values of functions Theorem 1: Iff(x) is continuous on a closed interval [a, b], then f(x) has both an absolute minimum value, m, and an absolute maximum value, M. This means there are some numbers c and d with m = f(c) and M = f(d) and m s f(x) s M for each x in [a, b]. The theorem does not tell us where...