Calculus question and answers for February 15, 2024
- Q Problem 9 Suppose that the derivative of a function f is given by f x x x 2 6 x 3 5 x 4 Find the x coordinates of the...
- Q Problem 10 Suppose that the second derivative of a function f is given by f x x x 2 7 x 3 4 Find the x coordinates of the inflection...
- Q 6 Let f x 1 e x On what interval is f increasing A In 6 B 0 In 6 C In 6 D In 5 0 E In 5...
- Q Problem 11 Evaluate the following limits 3 lim X 0 x5x 5x 1 b lim x5 tan 7 x5 X18 lim 1 X 8 7x
- Q An artist wants to paint the interior of the shape shown below on the side of a building Meters y y 3 x Meters 9 X How much area in...
- Q 1 Maisy is an employee at a shoe store She receives a 20 discount on all items including sales items For Black Friday all boots at the store are discounted...
- Q Pierce Manufacturing determines that the daily revenue in dollars from the sale of x lawn chairs is R x 0 004x 0 a What is the current daily revenue b...
- Q The function f x y z xyz 1 2 has an absolute maximum value and absolute minimum value subject to the constraint x y z 4 with x 20 y...
- Q 48 67 Find the four second order partial derivatives for f x y 5x y 4xy7 45 f 11
- Q A company s marginal cost function is MC x x 1 2 5 where x is the number of units If fixed costs are 23 250 find t company s...
- Q Find the absolute extreme values of the function shown below 10 4 Absolute Minimum Value 5 10 x
- Q Let R x C x and P x be respectively the revenue cost and profit in dollars from the production and sale of x items If R x 7x and...
- Q 8 Identify which of the following trig functions represents that of a sin cos tan cot csc and sec function f 4 2 A U 44
- Q A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil measured in appropriate units is KN 9 Y...
- Q A box with a square base and open top must have a volume of 62 500 cm Find the dimensions of the box that minimize the amount of material us...
- Q A poster is to have an area of 210 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top Find the exact...
- Q Explain why Newton s method doesn t work for finding the root of the equation x3 3x 9 0 if the initial approximation is chosen to be x 1 f...
- Q 6 66 Points DETAILS SCALCET8 4 7 021 Find the point on the line y 5x 2 that is closest to the origin x y
- Q If 10 800 cm of material is available to make a box with a square base and an open top find the largest possible volume of the b cm3
- Q 3a Give a definition for the piecewise function shown below 5 3b Identify the discontinuities of the function 0
- Q Sketch the graph of a function f that is continuous on 1 5 and has the given properties Absolute maximum at 5 absolute minimum at 2 local maximum at 3...
- Q Find the absolute minimum and absolute maximum values of f on the given interval f x 0 6 x 2 x 4 absolute minimum value absolute maximum value
- Q 10 Solve for side length a in the triangle below Round your answer to one decimal place X 35
- Q Find the critical numbers of the function Enter your answers as a comma separated list Use n to denote any arbitrary integer values If an answer does not exist enter...
- Q Find the critical numbers of the function Enter your answers as a comma separated list If an answer do not exist enter DNE f x 8x 12x 48x H
- Q Car s speed km h 80 60 40 20 0 2 4 5 6 7 8 Distance from home km 12 A school vending machine sells cartons of milk and...
- Q Explain the difference between an absolute minimum and a local minimum There is no difference O A function f has an absolute minimum at x cif f c is the...
- Q Vrite an equation of a circle with diameter AB A 3 3 B 17 17 Choose the correct answer below A x 10 2 y 10 98 OC x 10...
- Q Find the slopes of the curve y y2 x at the two points shown here Q Q 194 3 2 3 3 The slope of the curve y y x...
- Q nd the slopes of the curve y4 y2 x at the two points shown here Ay 3 1 2 oo 3 4 The slope of the curve y4 y2 x...
- Q Write an equation of a circle with diameter AB A 3 3 B 17 17 Choose the correct answer below OA x 10 y 10 98 OC x 10 y...
- Q Find the exact solutions of the equation in the interval 0 2 sin 2x cos x 0 X X X X smallest value largest value
- Q Solve the equation for x Use n as an integer constant cos r cos r 1 0 X X smaller value for n 0 larger value for n 0
- Q Find the value of x x 0 X X 3
- Q Find all solutions of the equation in the interval 0 2m algebraically Use the table feature of a graphing utility to check your answer numerically Enter your answers as a...
- Q Find all solutions of the equation in the interval 0 360 Enter your answers as a comma separated list cos x 1
- Q Determine algebraically whether the given function is even odd or neither g x 3x 5 ONeither O Even Odd
- Q Find the area of the shaded region Use 3 14 m 26 m r 13 m 26 m
- Q Find the area shared by the circle r2 4 and the cardioid r 4 1 cos 0 The area shared by the circle and the cardioid is Type an exact...
- Q Find the length of the spiral r 02 0 0 45 The length of the spiral is Simplify your answer
- Q Find the area of the region inside one leaf of the three leaved rose r 3 cos 30 The area of the region is Type an exact answer using as...
- Q Suppose the derivative of a function f is f x x 2 x 5 x 6 On what interval is f increasing Enter your answer interval notation
- Q Question Given the function 3x 9 X 5 use a linear approximation of f x at x 4 to approximate the value of f 4 1 Provide your answer below...
- Q Graph the polar equation r 5 cos 50 O A 10 10 10 10 Q OB 10 10 10 TT 10 O C 10 AT 1 TTTTT 10 10 10...
- Q Use the graph of the rational function shown to complete the statement As x o f x 10 8 6 4 10 8 6 4 2 3 Ay 10 2...
- Q HQ Four Quadrant Ordered Pairs B C 3 3 G E C Z 4 3 2 4 S Write the ordered pair for each given point 8 4 9 W...
- Q Given that x and y are functions of time find the indicated rate of change dy dx Find when x 2 and dt dy dt 3 given that x4 y4...
- Q Estimate the error if P x 1 2 X is used to estimate the value of cos x at x 0 6 2 Error Simplify your answer Round to seven...
- Q A quantity x is distributed through a population with probability density function p x and cumulative distribution function P x Decide if the statement is true or false If p...
- Q Which of the following functions makes the most sense as a model for the probability density function representing the time in minutes starting at t 0 that the next customer...
- Q Find the slopes of the curve y y x at the two points shown here 4 coll Ay 0 Q The slope of the curve y y x at the...
- Q Find the value of x 2 X Do not include the degree symbol in your answer Round to the nearest degree as need
- Q Find the critical points of the following function Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum or saddle...
- Q A delivery company requires that any box delivered must have a length plus girth distance around totaling no more than 120 inches Find the dimensions of the box with maximum...
- Q The volume of a right circular cone with radius r and height h is V h 3 a Approximate the change in the volume of the cone when the radius...
- Q 12 5 Compute the directional derivative of the function g x y sin x 5x 4y at the point P 1 3 in the direction 5 13 13 The directional...
- Q The level curves of the surface z x y are circles in the xy plane centered at the origin Without computing the gradient what is the direction of the gradient...
- Q Compute the directional derivative of the function g x y sin x x 3y at the point P 2 3 in the direction The directional derivative is Type an exact...
- Q Find the 9R9 of the finite region between the x axis and the Curve y x x 2 x 5
- Q The level curves of the surface z x y are circles in the xy plane centered at the origin Without computing the gradient what is the direction of the gradient...
- Q Find the domain of the following function b 5 4 3 2 1 5 t 3 2 1 2 3 4 2 3 4 5 6 7
- Q Write the equation of the vertical asymptote of the function Do not use space in your answer 5 4 3 2 1 y 3 321 2 1 2 3 4...
- Q The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway There are 680 ft of fencing available to...
- Q Find the Taylor series generated by fat x a 15 f x a 1 2 What is the Taylor series generated by fat x a 20 k 0
- Q Find the Maclaurin series for the given function 14X 1 X What is the Maclaurin series of f x 80 k 0 4 1 X Type an expression using k...
- Q Use power series operations to find the Taylor series at x 0 for the following function 20xex The Taylor series for ex is a commonly known series What is the...
- Q Use substitution to find the Taylor series at x 0 of the function In 1 5x7 What is the general expression for the nth term in the Taylor series at...
- Q 6 The graph of f x 4x 5 x 2 domain and range of f 1 is shown Give the 12 10 8 6 4 204 y 18 2 16...
- Q Find the length of the curve x 6t y 9t 0sts 8 The length of the curve x 6t y 9t on 0sts 8 is Type an integer or a...
- Q se a graphing utility to graph each function in the interval 0 27 y 5 cos x y 5e x 5x 5 a Write an equation whose solutions are the...
- Q Write the expression as the sine cosine or tangent of an angle 3T COS 57 COS 7 cos 9 8 sin sin
- Q Use a graphing utility to approximate the solutions of the equation in the interval 0 2x Enter your answers as a comma separated list Round your answers to four decimal...
- Q You and a friend are riding your bikes to a restaurant that you think is east and that your friend thinks is north You both leave from the same starting...
- Q You are tasked with constructing a rectangular box with a square base an open top and a volume of 184 in Determine what the dimensions of the box should be...
- Q Find the exact value of the trigonometric expression when sin u sin u v 12 and cos v 13 4 5 Both u and v are in Quadrant II
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!