ان 9 : stion حفظ الرجوع Find the wenge value of function f(x) 4uin 2x on...
Find f'(x) and (c) Function Value of c R(x) = (x + 2x)(2x + 2x - 2) c=0 x) (8x3+2)(x4 + 2x) + (2x4 + 2x - 2)(4x3 + 2)
9. Find the average value of f(x) = 3x2 - 2x on the interval [1,4]. (8 Points) Hint: Use the formula: favo = 6-a Srca) dx
For the indicated function, find the values f(-9), f(0), and f(4). x, if x < 0 f(x)= 8x + 6, if x 20 f(- 9) = f(0) = f(4) = State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = 2x² - 4x - 6 The function has a value of Graph the case-defined function and give the domain and range x+2 xs2 f(x)= Choose the correct graph of the function below. OA...
6. Find the average value for of the function f(x) = cost over the interval [0.21] and find c such that f(c) equals the average value of the function over [0, 2x].
Find the area under the function f(x) = 2x – sin(x) over the interval [0, T]
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. f(x) = 2x + 9, [0, 2], 4 rectangles _______ < Area < _______
13 . Find a power series for the function f(x)= centered at c=0, and 2x’ - 5x-18' determine its interval of convergence. You may use 1+x+ x² + x +. 1-X
Consider the function f(x)=2x^3−3x^2−72x+6 on the interval [−5,7]. Find the average or mean slope of the function on this interval. Average slope: 0 By the Mean Value Theorem, we know there exists at least one value cc in the open interval (−5,7) such that f′(c) is equal to this mean slope. List all values cc that work. If there are none, enter none . Values of c:
Consider the function f(x) = 2x 123? slope of the function on this interval. 72c + 1 on the interval [ – 4, 8]. Find the average or mean By the Mean Value Theorem, we know there exists a c in the open interval ( - 4,8) such that f'@) is equal to this mean slope. For this problem, there are two values of c that work. The smaller one is and the larger one is
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...