Calculus question and answers for February 16, 2024
- Q Find the global maximum and global minimum values of the function g 0 60 7 sin 0 on the interval 0 Use the derivatives to algebraically answer the question and...
- Q Suppose 1100 square centimeters of material is available to make a box with a square base and an open top Find the largest possible volume of the box Give your...
- Q 1 point The three series An Bn and Cn have terms 1 1 n10 n5 0 1 2 3 n n 1 An Use the Limit Comparison Test to compare...
- Q In each part find a formula for the general term of the sequence starting with n 1 Enter the following information for an a an b an c an d...
- Q The graph of f x 3 is reflected across the x axis shifted downward 8 units and then shifted left 3 units Let g x represent the new function What...
- Q For the following exercises start with the graph of f x 2 Then write a function g x that results from the given transformation Shift f x 1 units upward...
- Q Graph f x 5x 1 1 First drag the two blue points on graph to the correct points that f x passes through Then use the remaining red point to...
- Q Evaluate the exponential function h x 4 for h 3 Round to 4 decimal places if necessary 3 help formulas h 3
- Q For the exponential function f x 6 5 1 find f 6 f 6 24300000
- Q The graph of f x 4 is shown below in blue This graph in red is a transformation of f x Write a function that describes the transformed function g...
- Q 9 3 Problem 4 1 point Use the limit comparison test to determine whether diverges an lim n 00 bn a Choose a series n 19 your answer as a...
- Q 1 point Use the Integral Test to determine whether the infinite series is convergent n n 10 n 9 To perform the integral test one should calculate the improper integral...
- Q 10 points Use the intermediate value theorem and the bisection method to approximate the real zero in the indicated in You only need to approximate to one decimal place f...
- Q 9 3 Problem 1 point The three series An Bn and Cn have terms 1 7210 C 2 3 Use the Limit Comparison Test to compare the following series to...
- Q olve the following formula for the specified variable 1 2 gn m In gn cn for c O
- Q Follow the steps for graphing a rational function to graph the function P x x x 6 36 Type an integer or a simplified fraction Use a comma to separate...
- Q Suppose an and bn are series with positive terms and bn is known to be divergent If an bn for all what can you say about an O A an...
- Q Follow the steps for graphing a rational function to graph the function R x 5x 5 8x 32 Write R x in lowest terms Select the correct choice below and...
- Q In each part find a formula for the general term of the sequence starting with 72 1 Enter the following information for an a an b an C d 11...
- Q Write the general formula for following alternating series in the form an 10 10 5 6 1 10 10 7 00
- Q Write P x in lowest terms Select the correct choice below and if necessary fill in the answer box to complete your choice OA P x Simplify your answer B...
- Q 2 Evaluate the indicated limits If it does not exist is the limit or neither lim x 2x x 2x b lim x 6x x I 118 X48 a X...
- Q Follow the steps for graphing a rational function to graph the function G x OD The domain is the set of all real numbers Write G x in lowest terms...
- Q Solve the inequality algebraically x 7 x 9 X 0 The solution is Simplify your answer Type your answer in interval notation Use integers or fractions for any numb expression
- Q 15 A 4v 17 2v 4m 4nm 1 B 42 D 2v 3 18 2x A 4x C x 18 2u y 3 2u A B B 3 x 2...
- Q Follow the steps for graphing a rational function to graph the function P x X X 0 x 6 x 6 B P x cannot be factored further A P...
- Q Solve the inequality f x 0 where f x x 1 x 2 by using the graph of the function 4 2 30 20 10 10 20 30 40 50...
- Q Solve the inequality algebraically X 3 X 6 0 The solution is Simplify your answer Type your answer in interval notation Use integers or fractions for any numbe expression
- Q 2 x 64x What is the solution Type your answer in interval notation Simplify your answer Use integers or fractions fo expression
- Q Solve the following inequality x 2 x 3 x 6 0
- Q Decide whether the following statement is true or false The graph of f x x x 0 or x 2 X is above the x axis for x 0 or...
- Q X Follow the steps for graphing a rational function to graph the function G x 4 If needed first write the given function as a single rational expression Then factor...
- Q low the steps for graphing a rational function to graph the function R x x 2x 63 x 4x 21 X
- Q Follow the steps for graphing a rational function to graph the function R x ww 5x 5 8x 32 If needed first write the given function as a single rational...
- Q 3 Evaluate the following limits cos x a lim sin x 0 COS X X 1 3 1 x1 x 1 b lim
- Q Use Newton s method with the specified initial approximation x to find x3 the third approximation to the root of the given equation Round your answer to four decimal places...
- Q 24 25 Find the magnitude of the resultant force and the angle it makes with the positive x axis 24 YA 0 45 30 20 lb 16 lb X 25...
- Q 17 Find a unit vector with the same direction as 8i j 4k
- Q 37 If r x y z and ro points x y z such that r ro 1 xo yo Zo describe the set of all
- Q 33 The region consisting of all points between but not on the par spheres of radius r and R centered at the origin where r R
- Q 21 30 Describe in words the region of R represented by the ning sill equations or inequalities 21 x 5 23 y 8 22 y 2 24 x 3
- Q 13 16 Show that the equation represents a sphere and find its center and radius 13 x y 2 2x 4y 8z 15
- Q Finding antiderivatives Use what you know about derivatives to finc all antiderivatives of the following functions Sum Rule a f x 3x f x g x 2 1 b f...
- Q 2 8 points Using transformations sketch the graph of y f x 1 3 labeling all points Plea place your final answer to the right the other graphs below are...
- Q Find an arc length parametrization of the line y 72 12 Use symbolic notation and fractions where needed Give your answer in the form of comma separated list of 1...
- Q 99 Suppose 7 a 6 3 2 b 8 c 16 d 2 2 e 6 3 2 12 7 4 and and let g x f x cosx Find...
- Q 36 Find the derivative of the function using the definition of derivative f x 5x 2 4x 3
- Q 6 The slope of the tangent line to the graph of the exponential function y 9 at the point 0 1 is lim 9x Estimate the slope to three decimal...
- Q A car was valued at 38 000 in the will it be worth by 2017 year 2007 By 2013 the value had depreciated to 11 000 If the car s...
- Q work No credit for digital work 1 6 points Assume f x dx 3 f f x dx 5 and f3 g x dx 9 compute 3 3
- Q Provide a detailed sketch with analysis of the function f x x on the domain 0 Your sketch must include the following details all of which must be justified any...
- Q The fox population in a certain region has an annual growth rate of 4 per year In the year 2012 there were 27790 foxes counted in the are Write a...
- Q 9 Determine whether the points lie on a straight line a A 2 4 2 B 3 7 2 C 1 3 3
- Q 3 Compute lim x arctanx 1 x T 2 Justify your answer
- Q 3 Which of the points A 4 0 1 B 3 1 5 and C 2 4 6 is closest to the yz plane Which point lies in the xz...
- Q Consider the equation y 5 82e 0 0349t which is of the form y Aert to fill in the following blanks The r value for the equation is Therefore the...
- Q 130t 7t 100 Click here to access the Desmos Graphing Calculator and use it to approximate the time when the concentration is highest help numbers The concentration C of a...
- Q For the following exercises consider this scenario For each year t the number of trees in Forest A is represented by the function A t by the function B t...
- Q Let f x 3x 9x 12 4x 8x L 12 Domain Find the domain vertical asymptote s horizontal asymptote and select the correct graph help intervals Vertical Asymptote s Horizontal...
- Q Find the formula for an exponential equation that passes through the points 3 8 and 3 1 The exponential equation should be of the form y ab help equations Round...
- Q Let f x 9x 2 9x 9 Domain Find the domain vertical asymptote behavior of the function near the vertical asymptote and horizontal asymptote help intervals Vertical Asymptote a As...
- Q Find an equation for a rational function f x that satisfies the following Vertical asymptote at x 8 and x 4 x intercepts at 3 0 and 6 0 y...
- Q For the function f x 6 5 find f 3 Round to five decimal places if necessary help numbers f 3
- Q Find the formula for an exponential equation that passes through the points 0 5 and 1 1 The exponential equation should be of the form y ab help equations
- Q Let f x x 2x 8 x 6x 40 Identify the removable discontinuity Removable Discontinuity x help numbers
- Q Minutes Cost 400 525 600 It takes you 4 seconds to climb up a 4 foot ladder that you are using to do a job You walt a seconds before...
- Q You are walking from home to the grocery store which is 2 miles away Twenty minutes later and halfway to the store you realize that you forgot to bring money...
- Q Find the volume of the following solid The tetrahedron bounded by the coordinate planes x 0 y 0 2 0 and the plane 5x 3y z 15 0 The volume...
- Q an You ride a bus that travels a total distance of 8 miles from the first bus stop to the last bus stop It takes the bus 4 minutes to...
- Q estlo 8 Divide and simplify 101 23i 7 3i
- Q Question 13 Given P x x 81 Write Pin factored form as a product of linear factors Be sure to write the full equation including P x
- Q Simplify
- Q Question 4 Perform the indicated operation simplify Express the answer as a complex number 62 5 Question Help Video 5314
- Q Question 6 Perform the indicated operation simplify Express the answer as a complex number 8 10i 5 2i
- Q Express 1 49 as a complex number 1 49
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