What is the average value of the function f(x)=e^3x on the interval [0, ln(2)]?
What is the average value of the function f(x)=e^3x on the interval [0, ln(2)]?
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:
Find the average value of the function on the given interval
f(x)=e^x/7
IN DECIMAL FORM
Find the average value of the function on the given interval. f(x)=eX/7: [0, 1] The average value is . (Round to three decimal places as needed.)
Please answer both and explain the steps! 1. On what interval is the function F(x)=(1//2x^2)-ln(3x), x>0, Increasing? 2. A baseball diamond is a square with a side of 90ft. Tucker hits the ball and runs towards first base at 16ft/sec. How fast is the distance between second base and tucker changing when he is 30ft from the first base? A.8.875 ft/sec B. 5.060 ft/sec C.-5.060 ft/sec D. -8.875 ft/sec
Parts e, f, and g only please
2. Let f(x) = -3x + 2 for 0 < x < 1. (a) If we partition the interval (0, 1) into five subintervals of equal length Ar, 0 = xo <12 <2<83 < 14 < 25 < x6 = 1, what is Ar and what are the ri? (b) Sketch a diagram for each of L5 and R5, the left and right enpoint Riemann sums for f(c) using the partition above. (c)...
Consider the function f(x) = x ln(3x+1) (a) Find the derivative (b) Write the linearization of f at x = 2 (c) Use your linearization to estimate f(2.5) (d) Draw a sketch of the function in the space below, using a solid line for f(x). On the same coordinate plane, draw a sketch of the linearization using a dotted line. Please use values 0<x<5(or equal to) on the x-axis (e) Is your estimate from part c an overestimate or underestimate?
Consider the following function. f[x) = x ln(3x), a = 1, n = 3, 0.8 lessthanorequalto x lessthanorequalto 1.2 Approximate f by a Taylor polynomial with degree n at the number a. T_3(x) = Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T_n(x) when x lies in the given Interval. (Round your answer to four decimal places.) |R_3 (x)| lessthanorequalto
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
rDashboard TP Ho : Proble 5 is a graph off(x) 0 5 What is the average value of f(x) on 0 3x 3 2? avg value = Problem 8 Problem 9 Problem 10 Problem 11 What is the average value of g(x) on 0 x3 2? Help Week 11 38df2c8d-68c0-3058-a0e6-747705c7fee0 781ebda3-... 5.2-5.4/12/?effectiveUser-84706399&use a https://math-webwork2.unl.edu/webwork2 files/tmp/10.. lem 12 (x), and below to the right is g(x). f(x) &(x) File Edit Apps (1 point) The figure below to the left is a...
Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2
2??−3 )
3x+2 Differentiate the function f(x) = x4 ln(5x) + In 2x-3 For full credit show each step. You do not need to simplify the answer. (10 points)