Calculus question and answers for October 07, 2023
- Q A landscape architect would like to design a rectangular flower garden with an area of 30 square feet is surrounded by a brick border 6 feet wide on two sides...
- Q 13 Find two negative and three positive angles expressed in radians for which the point on the unit circle that corresponds to each angle is 17 Choose the correct angles...
- Q Olivia needs to access a point 3 km downstream on the opposite side of a straight 6 km wide river See diagram below Start End She can row at rate...
- Q Suppose that p x y represents the production of a two product firm The company produces x units of the first product at a cost of c each and y...
- Q Rafaela needs to tether two transmission poles using wire and a single anchor between the poles If one pole is 32 feet tall the other pole is 99 feet tall...
- Q ngelo needs to design a box such that the sum of the box s girth and length does not exceed 678 centimeters iven this constraint determine the dimensions and volume...
- Q An open top box is constructed by starting with a square section of material 150 mm by 150 mm removing a small square of material from each corner and folding...
- Q A landscape architect is designing an 1125 square foot rectangular garden The perimeter of the garden is to be lined with shrubbery on three sides which costs 72 per foot...
- Q Find the indicated maximum or minimum value of f subject to the given constraint Minimum f x y 9x y 2xy 17x 2y y x 1 The minimum value is
- Q Determine the domain for the function of two variables h x y 6x e Choose the correct answer below O A x y y 0 O B x y y2...
- Q Find fx fy and f The symbol is the Greek letter lambda f x y 2 4xy 8x 11y 2
- Q For f x y In x y find f e 10 f e 10
- Q Next question Two variable quantities A and B are found to be related by the equation given below What is the rate of change dA dt at the moment when...
- Q Find the zeros and x intercepts of f x x 8x 9 O Zeros 1 3i x intercepts 1 O Zeros 3i 1 x intercepts 1 O Zeros ti 3...
- Q Find the extremum of f x y subject to the given constraint and state whether it is a maximum or a minimun f x y 4x y 2xy x y...
- Q 9 Let S r r is a positive number such that o k k converges absolutely for 2 r Which of the following statement is true a S is empty...
- Q Find the absolute maximum and minimum values of the function subject to the given constraints k x y x y 4x 4y 0 x 3 y 20 and x y...
- Q Let f x 8x 3x 2x 6 Find the following Degree of the f x Leading coefficient 5 3 End behavior Note type infty for o and infty for As...
- Q If f x y xy find the gradient vector Vf 7 5 Vf 7 5 Use the gradient vector to find the tangent line to the level curve f x...
- Q Pictured below are a contour map of f and a curve with equation g x y 8 Estimate the maximum and minimum values of f subject to the constraint that...
- Q Solve for r to two decimal places 7 e7r 12 o not round until the final answer Then round to the nearest hundredth as
- Q Level curves for barometric pressure in millibars are shown for 6 00 a m on a day in November A deep low with pressure 972 mb is moving over northeast...
- Q Consider the following graph of the function f x y given below f x y 4 x y 3xy point corresponding to local minimum 3 7 point corresponding to saddle...
- Q Use the graph to identify the formula for a polynomial function of least degree 5 4 3 72 1 f x 3q048P 5 5 y 5 2 1 0 1...
- Q 2 10 8 6 4 2 0 2 4 2 W 6 10 12 14 h t 6 8 10 Find a trigonometric function sin or cos for the function...
- Q The function f x changes value when x changes from xo to xo dx Find the approximation error af df Round your answer if appropriate 21 f x x2 x0...
- Q 10 8 6 g t AX 4 2 0 2 4 2 8 6 4 6 8 6 10 8 cod for the function shown a
- Q Suppose y cos t2 4 Answer the following questions What is the period of the function What is the horizontal shift of the function What is the phase shift of...
- Q Suppose f x 0 at x xo but nowhere else Also assume f x is continuous and has the following values where a x b x f x a 2...
- Q Find dy dx by implicit differentiation S 5 O 57 5 10x 18y O gy 5 10x 18 O 05 O S
- Q Suppose f x is continuous for all x and the graph of y f x has an inflection point at x 8 Complete the following table with appropriate possibilities for...
- Q Suppose f x has f 8 0 but the graph of y f x does NOT have an inflection point x 8 Complete the following table x f x 2...
- Q Suppose f x is continuous for all x and the only extreme value of f x is at x 8 Complete the following table with appropriate possibilities for the values...
- Q Use the figure to find the exact value of the trigonometric function Find cos 20 21 29 8
- Q r t t 3 t 2 2 2 4 4 X 4 4 2 y y 4 4 4F 2 2 2 4 4 X
- Q 6 12 2 Click on graph to enlarge 6
- Q Show all work to write the formula of the quadratic function graphed below 4 2 0 2 2 4
- Q There is a rational function with the following characteristics 2 and X 2 there are vertical asymptotes at X 1 f 0 and f 1 0 and 4 x f...
- Q 15 Extra credit Draw the graphs of the real part of the function f z e as a function of a real variable x when z re where x 0...
- Q 2 H 4 is a plane Show that your A gives 1 you a plane by expressing the solution set as a shift of a span of two vectors Hint...
- Q The period is Enter NONE if not periodic help numbers M 8
- Q The time required for workers to produce each unit of a product decreases as the workers become more familiar with the production procedure It is determined that the Function for...
- Q 5 10 5 0 5 1 t 5 P 7 4 S 10 Using the image above suppose t 29 84 Identify the values of angle t in radians r...
- Q Use the properties of summation and the Summation Formulas Theorem to evaluate the sum Use the summation capabilities c graphing utility to verify your result 1 1 i 1
- Q 2 Derive the operator A in polar coordinates r 0 and convert the following domain integral to a boundary line integral on I mrd r y
- Q Use the equations to find z x z av z x z x F x F z z y e 4xyz and and z y F y F z
- Q The percents of girls age x or younger who have been sexually active are given in the table a Create a logarithmic functon that models the data using an input...
- Q Given the parametric equations x t 2 2 and y t3 4t where 3 t 3 which of the following graphs represents the curve and its orientation O O 8...
- Q uppose that in a memory experiment the rate of memorizing is given by M t 0 003t where M t is the memory rate in words per minute How many...
- Q Given the parametric equations x t2 2 and y t3 4t where 3 t 3 which of the following graphs represents the curve and its orientation O 54 3 1...
- Q What is one solution to the trigonometric equation siny cosy O in the intervallo 212
- Q z Use implicit differentiation to find and x z x z av 72 e xyz z y
- Q Let g x y cos x 2y a Evaluate g 2 1 g 2 1 b Find the domain of g OR2 I 2 x 2y 2 1 x 2y...
- Q Water traveling along a straight portion of a river normally flows fastest in the middle and the speed slows to almost zero at the banks Consider a long straight stretch...
- Q Q36 Let h x x 2 g x sin x 3 then find the value of goh 2 hoal a
- Q A graphing calculator is recommended The graph of the function f x y 1 x a Find an equation of the tangent line to this curve at the point 2...
- Q Use the theorem given below to find the curvature r t 3ti 5 sin t j 5 cos t k Theorem The curvature of the curve given by the vector...
- Q Find all local extrema for the function f x y x 9xy y Find the local maxima Select the correct choice below and if necessary fill in the answer box...
- Q Differentiate the function g x g x 1 to 1 X T9 3 1 x X
- Q Find the equation of the line tangent to the graph of f x In x at x 6 y 0 Type your answer in slope intercept form Do not round...
- Q Solve for x and simplify 5 2 2 5 12 A 4 or x 2 B x 4 or x 2 C x 4 or x 2 D NO solutions...
- Q Here is 4 on of the function g 3 2 y 4 3 2 1 2 4 5 Use the graph to find the following If there is more than...
- Q Question 7 The graph of f is given below O 10 9 No relative maxima exist 10 9 8 7 6 5 4 3 2 1 8 7 6 23...
- Q Next question Find three numbers whose sum is 21 and whose sum of squares is a minimum The three numbers are Use a comma to separate answers as needed DE...
- Q Find the order 3 Taylor polynomial T3 x of the given function given Use exact values f x 3x 238 at a 6 T3 x
- Q Find three numbers whose sum is 6 and whose sum of squares is a minimum The three numbers are Use a comma
- Q Use substitution to find the given indefinite integral Sx5 2x 5 dx 1 56
- Q Answer each of the questions throughout the problem below Question Sarah walked south for one block and then west for two blocks How far was she from her starting point...
- Q angles below For more information on this topic look in your textbook at section 4 1 You might also want to look at the Angle and Radian Measure presentation 15...
- Q 18 Fig 6 shows a sleeve type part 40 0 16 mm and 10 0 3mm are the design dimensions As the dimension 100 0 3 is inconvenient for measuring...
- Q a b c 9 pts Lat g x Rt dt where is the function whose graph is shown Evaluate g 4 Show work Where does g have a maximum value...
- Q The series True False 1 ne n 0 converges when p 2 1
- Q Evaluate the integral U 2 3 6x dx 21 4
- Q Question Find the roots of f x x 7x 10x and their multiplicities has a multiplicity of The root Select Select Select The root Select Select Select The root Select...
- Q Question How is the graph of 2f 4x 1 7 different from the graph of f x In other words what do the numbers 2 4 1 and 7 tell...
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