Calculus question and answers for September 20, 2023
- Q Choose the correct graph All graphs are 30 30 by 30 30 Select one a O b O C O d X
- Q Solve the triangle shown to the right Ca Simplify your answer 82 Do not round until the final answer Then round to two decimal places as needed CA 10 Then...
- Q Compute the distance between the points 4 2 8 and 3 1 7 The distance is Round your answer to the nearest tenth
- Q The graph of Ay By Cx D 0 where A and Care positive constants is a Select one O a parabola opening left O b parabola opening right O c...
- Q Heron s Formula for the area of a triangle in terms of the lengths of its sides a b and c is A s s a s b s c...
- Q 10 5 5 Local minimum value s 10 5 X A 10 mine the value s of the local extrema you identified in the previous step Write DNE for all...
- Q Calculate the average rate of change of f x 5x 3x on the interval 2 4 O 189 O 143 O 143
- Q Given lim f x 56 and lim g x 4 evaluate lim 3 f x x 8 X 8 x 8L g x f x Olim x 8l g x...
- Q Evaluate lim substitution O O O x 64 x 4x 3x 4 lim x 64 x 4x 3x 4 x 64 2 x 4x 3x 4 lim x 64 x...
- Q Find the instantaneous rate of change of f x of f x x 8x 1 when x 4 O 8 O 14 O 16 O 16
- Q 10 Answer Step 1 of 2 Use the graph to determine the locations and type of the local extrema Write DNE for all extrema that do not exist Separate multiple...
- Q Consider the following graph of g x Write a formula for g x that describes the transformations performed on the basic function 10 Enable Zoom Pan KA
- Q Graph the following function by considering how the function has been shifted reflected stretched or compressed
- Q Determine the area of the triangle 11 cm 1 The area is Type an integer 25 cm cm cm
- Q Find the linear approximation of f x x when x 1 C L x 1 x 1 O L x 1 x 1 OL x 1 x 1 OL x...
- Q 18 If a function is an odd function and x y is a point on its graph then which of the following will als be a point on the graph...
- Q Mark the critical points on the following graph z e 0 4 3 2 1 2 1 6 0 8 0 4 0 4 0 8 1 2 1 6...
- Q What are the vertical asymptotes of the graph of f The vertical asymptote s is are Type an equation Use a comma to separate answers as needed ANWAR I 1...
- Q You throw a ball straight up from a rooftop 90 feet high with an initial speed of 96 feet per second The function s t 16t 96t 90 models the...
- Q Mark the critical points on the following graph x e 0 4 3 21 1 6 1 2 0 8 0 4 0 4 0 8 1 2 1 6...
- Q A sphere is to be designed with a radius of 12 cm Use differentials to estimate the maximum error when measuring the surface area of the sphere if the possible...
- Q Find the derivative of f x 5x log 2x4 13 O f x 80x4 2x 13 80x4 2x4 13 In7 O f x O f x 10xlog7 2x4 13 O...
- Q Find the derivative of y In O O 313 dx dx dx 1 6x 4 18x 1 6x 4 sinx 2 18x 6x 4 18x 6x3 4 1 sinx 1...
- Q Find the derivative of y 12x4 8cscx O y 48x3 8cscxcotx 5 7x6 y 48x 35 O X O y 48x O y 48x 36 X 35 35 6 x...
- Q Find the derivative of f x 2x159x 1 O f x 72x3 59x 1In5 O f x 8x 59x 1 18x4 59x 1n5 O f x 8x 59x 1 18x4...
- Q All the edges of a cube are increasing at a rate of 6 2 centimeters per second How fast is the volume changing when each edge is 10 centimeters long...
- Q Find the derivative of f x 4x5 11sinx O f x 20x4 11cosx 3350 6 X O f x 20x4 11cosx O f x 20x4 11cosx O f x 20x4...
- Q Alex Rodriguez hits the baseball at 70 mph at an angle of 30 How far does the ball go and how long does it take to get there
- Q What is the average rate of change of f x from x 3 to x 1 37 Please write your answer rounded to the nearest hundredth f x 3x 3x...
- Q For what numbers x 2x x 2 does cscx 1 Refer to the graph which shows y csc x in blue and y sin x in red In the interval...
- Q 17 A drug company wishes to test a new drug A researcher assembles a group of volunteers and randomly assigns them to one of two groups one to take the...
- Q or what numbers x 2 x 2 does the graph of y tan x have vertical asymptotes Refer to the graph which shows y tan x in blue and y...
- Q Two objects start at the same location at noon One object moves due East at a rate of 5 meters per minute The other object moves North Northwest at exactly...
- Q the blank the appropr phrase All items or people of interest in an experiment are collectively called a statistic population cluster
- Q Evaluate lim 1 x5 2x 1 x5 1 Give an exact answer
- Q A box with an open top and a rectangular base is to be constructed from 24 square feet of cardboard The length of the base of the box is twice...
- Q Find two positive numbers and y such that the product of x and y is 45 and the sum of 5 times a and 4 times y is a minimum...
- Q Let f x x 4x Then f has two critical numbers One critical number is at x 0 At what x value is the other critical number located Is there...
- Q 5 4 3 2 5 4 NWA 3 2 2 3 4 5 2 3 4 At the point shown on the function above which of the following is tru...
- Q or the following exercises graph the equations and shade the area of the region between the curves If ecessary break the region into sub regions to determine its entire area...
- Q A rectangle with a length of 40 in and a width 25 in has sides that are changing The length is increasing by 4 in per second and the width...
- Q Fill in the blank with an appropriate word or phrase A subset of a population used by statisticians to make predictions about a population is called a A subset of...
- Q Stephen makes 14 00 per hour plus 4 1 commission If he works 15 hours and had 2144 worth of sales what were his earnings that we k
- Q on sells doors and is paid 650 per week plus a step commission based on his sales He receives 3 on sales up to the first 1 000 6 on...
- Q Store A has put a video game with a regular price of 22 95 on sale at 10 off Store B has the same video game for 20 50 Which...
- Q retailer buys a set of luggage for 95 50 It is marked up by 48 of his cost Find the profit if it is 40 of the markup
- Q Skis that regularly sell for 329 99 are marked down in price by 25 The next week the store offers a further discount of 15 a What is the final...
- Q QUESTION 11 A portable speaker sells for 129 95 and the rate of margin is 40 Calculate the cost QUESTION 12 Headsets sell for 119 95 and the rate of...
- Q Find the length of the arc formed by y In cos x from x 0 to x 2 12
- Q The cost of an article is 142 The markup is 41 of the selling price What is the selling price
- Q A wallet sells for 56 It has been marked up by 36 of the cost What is the cost
- Q A small company of science writers found that its rate of profit in thousands of dollars after t years of operation is given by the function below 1 3 P...
- Q The rate at which a substance grows is given by R x 185e0 5x where x is the time in days What is the total accumulated growth during the first...
- Q 5 3 points Find the points of inflection and discuss the concavity of the graph of the function f x 3x 5x
- Q Question 11 of 15 Step 1 of 1 Correct What is the average rate of change of f x from x 2 to x2 6 Please write your answer as...
- Q K Approximate the area under the graph of f x and above the x axis with rectangles using the following methods with n 4 f x 8x 6 from x...
- Q Given the point in polar coordinates find two other polar coordinate representations wit r 0 87 8 8 8 3 2T 3 4T 3 8 8 8 71 3 8...
- Q Write the solution set for the general solution T 4sin x 2 4 2 O O xlx 2nt x 4 xlx T xlx 2nx x 2 xlx 3 T 12...
- Q Evaluate the following integral 5x x 8 dx 5x x 8 dx Type an exact answer
- Q Next question Find the open intervals where the function f x 4x 24x 165x 7 is concave upward or concave downward Find any inflection points Select the correct choice below...
- Q Find the locations and values of all relative extrema for the function with the graph below Ay 10 10 8 5AER b 4 ID The function has a local of...
- Q An airplane climbs at an angle of 11 at an average speed of 420 mph How long will it take for the reach its cruising altitude of 6 5 mi...
- Q A swimming pool as a depth of 4 ft at the shallow end and 8 ft at the deep end The bottom of the pool slopes downward at an angle...
- Q Re write the equation so the coefficient on x is positive y 5cos 2x 3 y Scos 2x 5 y 5cos 2x 3 3 O y 5cos 2x y 5cos...
- Q Find the exact value sin arcsin 2 3 2 NK N 2
- Q Find a unit vector that is orthogonal to the plane determined by the vectors v 2i 3j k and w 2i 4j 3k
- Q Please show ALL WORK or no credit will be given 1 Find a polar equation for the conic with a focus at the pole and the given eccentricity and directrix...
- Q Find the derivative of y with respect to x if y e x 33 11
- Q 3 Sketch a graph of the equation and upload a picture of the graph Label all intercepts x y 2z 8
- Q 2 Write an equation for the sphere with the given point at its center and the given number as its radius 1 5 8 5
- Q 3 Graph the conic you do not need to upload a picture of your graph and find the values of e a b and e a b G 21 2008...
- Q Use properties of limits to find the indicated limit It may be necessary to rewrite the expression before limit properties can be applied x 6x 27 x 9 lim x...
- Q c r 3 sin 30 0 0 360 30 45 60 90 120 135 150 30 T 8 180 210 225 240 270 300 315 330 30 T 150 165...
- Q 3 273 2 R x 5x 10x C x 5x 5 The y intercept of C x is at y 54 6 Simplify your answer Graph C x Choose the...
- Q a Graph both functions Identify the vertex of R x The vertex of R x is 12 5 62 5 Type an ordered pair Simplify your answer Type integers or...
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