Calculus question and answers for July 17, 2023
- Q Find the area of the region under the graph of the function f on the interval [1, 5].f(x) = 4xsquare units
- Q Find the area between the curves y = e^ -0.1x and y = 1.2x + 1 from x= 0 to x = 5.
- Q Find c > 0 such that the area of the region enclosed by the parabolas y = x - cand y=-c-x is 300.
- Q Which statement is true?There are many derivatives of a function g(x).There is only one anti-derivative, f(x), for a function g(x).There are many anti-derivatives, f(x), of a function g(x).There are only...
- Q An object with an initial velocity of v(0) = 3 has an acceleration of a(t) = 5 + 6t.What is its velocity at t = 5?3597100103
- Q Evaluate -2? 1 (x-2)(x + 3) dx53/333/2-32/3-33/2
- Q An object is moving along a horizontal line such that it's velocity is v(t) = 3/(3t+4)What is the object's displacement between t = 0 and t = 5?A. 1.558B. 1.944C....
- Q What is the average value of f(x) between x = 0 and x = 4 for f(x) = 2x - 1?A. 6B. 3C. 0D. -3
- Q Find the total change of f(x) between x = 0 and x = 3, when df/dx = 3/x+4A. 0.56B. 1.679C. 3.332D. 9.997
- Q What is the total change of f(x), if f'(x) = 3x + 1, over the interval [1, 5]?A. -40B. 40C. 42.5D. 45
- Q Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral?? ln(x)/3+x dxwith n = 8.
- Q If 0<k<?/2 and the area under the curve y=cosx from x=k to x=?/2 is 0.1, then k=(A) 1.471(B) 1.414(C) 1.277(D) 1.120(E) 0.436
- Q The distance x, in feet, between successive cars on a certain stretch of highway has the following probability density function, where k = 1/a and a is the average distance,...
- Q 2. Using the disk method, find the volume of the solid of revolution formed by revolvingand the z-axis over the interval [1, 2] around the x-axis.1the region bounded y =?x(3-x)Use...
- Q *4. Use the comparison theorem for improper integrals to prove thatSverges.sin r1Hint: Use your answer from question 3(a) combined with the fact that sin r ? 1.de con-
- Q Write log 8 using natural logarithms Note When entering natural log in your answer enter lowercase LN as In There is no natural log button on the Alta keyboard
- Q Given the graph of the piece wise defined function below f x find the following 8 5 a 35 a Domain b Range 6 3 2 3 4 5 6...
- Q Represent log k using the natural logarithm Note When entering natural log in your answer enter lowercase LN as In There is no natural log button on the Alta keyboard
- Q Which of the following equations uses the inverse property of logarithms corm Select all correct answers Select all that apply logg 87 7 glog 7 7 glogg 7 7 logg...
- Q Question Use the Product Rule of Logarithms to write the completely expanded expression equivalent to logs 3x 6y Make sure to use parenthesis around your logarithm functions log x y...
- Q Find the arc length parameter along the curve from the point where t 0 by evaluating the integral s r t 5 3t i 8 2t j 3 7t k...
- Q Find a vector of magnitude 3 in the direction of v 12i 5k The vector is i O Simplify your answer Use integers or fractions for any numbers in the...
- Q Find the volume of the parallelepiped box determined by u v and w u 2i 3j v 3i 2j 3k w i 2k The volume of the parallelepiped is units...
- Q Evaluate the following integral in spherical coordinates 2 3 3 csc S S S op 0 4 0 2 p sin p dp do de N 3 4 T 3
- Q The graph of the function f x log x is stretched vertically by a factor of 2 reflected over the x axis reflected over the y axis and shifted up...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!