Calculus question and answers for January 09, 2024
- Q The definite integral of f x from a to b is defined to be b A So f x dx limn n Wh xk f a cb B f f...
- Q The definite integral of f x from a to b is defined to be O A f f x dx limn n f wh k O B f f x...
- Q Factor the given polynomial x 16x 55 x 16x 55
- Q Assume that a couple invests 750 upon the birth of their daughter Assume that the investment earns 6 4 compounded annually What will the investment be worth on the daughter...
- Q Use the laws of exponents to simplify the algebraic expression Your answer should not involve parentheses or negative exponents 2x 5y 2x3 5y 3 3 Simplify your answer Use positive...
- Q For a function y g x the differential dy is given by O A dy g x dx OB dy g u dx O c dy g x dx O...
- Q Solve by the quadratic formula and simplify 3x x 2 0 X Use a comma to separate answers as needed
- Q Factor the following polynomial 4x 40x 100 4x 40x 100
- Q 6 Select the expression that is equivalent to see cot 25 2 B S X X C 25 1 Cot 25 D E S 25
- Q Factor the polynomial 2 8x 16 8x 16
- Q Careful here O A 1 OB 1 OC 0 OD 3 O E None of the above
- Q ot 1 After t hours of operation an assembly line has assembled A t 20t C x 2890 70x power lawn mowers 0 st 10 Suppose that the factory s...
- Q The velocity of a particle moving along a line is t 2t sin t meters per second Then the net change in position during the time interval 0 t 4...
- Q Which of the following are true for the vector valued function r t cos t i sin t j Select all that apply The graph of r t is a...
- Q X 7 x Let g x g h t and h x x 4x 7 Calculate the function g h t
- Q Let g x h g x X 2 x and h x x 4x 8 Calculate the function h g x
- Q Let f x X X 7 and g x 12 X 12 x Express f x g x as a rational function f x g x for x Use a...
- Q The system x 0 Y Z 0 x 10 y 20 x y 2 5 x 2y 18 with the objective function p 70x 82y has a maximum of i...
- Q Suppose A is a 3 x 3 matrix and B 2A Then i B 8 A ii B 4 A iii B 2 A iv B A V None of...
- Q Let 1 3 2 02 X 5 0 04 Then i x 0 ii x is any real number there is no value for x iv x 8 V None...
- Q The point P xo yo zo is in a plane for which n a b c is a normal vector Which of the following equations must every other point Q...
- Q Let x y be any two vectors in space Which of the following are properties of the cross product x Xy Select all that apply x x y is orthogonal...
- Q Suppose a 26 2 is expanded in descending powers of a Then the 5th term in the expansion is i 22 a 26 12 4 ii 12 a 26 12...
- Q Suppose a ib is a complex number Then a ib is equal to i b 3ab 3a b a ii ib 3iab 3ia b a iii ib 3iab 3ia b...
- Q Try it Evaluate the step function for the given input vale 4 3 x 1 1 1 x 2 2 x 4 X 24 g x a Step 3 5...
- Q Suppose that F 12 What is the value of F given that k 9 0 x 10 Q 9 x 104 Q2 9 x 104 and r 7 x 10
- Q If the graph of a x is horizontally compressed by one fourth to obtain the graph of b x fill in the table for b x y a x X...
- Q 1 point Find the Laplace transform F s L f t of the function f t est 10 h t 2 defined on the interval t 0 Here h t...
- Q The volume of an open topped box with a square base is 245 cubic centimeters Find the height in centimeters of the box that uses the least amount of material...
- Q X sin 2x 2 dx OA cos 2x 3 2 C OB 3 cos 2x 3 2 C OC cos 2x 3 2 C OD cos 2x 3 2 C...
- Q x 4x 7 Ad O A 2 42 7 C O B 2 42 7 C O C C O E 2 5 x 4x 7 5 OD None of...
- Q 2s 7 7s 12 a Find the partial fraction decomposition of F s 1 point Consider the function F s 2s 7 5 7s 12 b Find the inverse Laplace...
- Q 1 point Consider the initial value problem y 9y 0 y 0 3 y 0 0 a Take the Laplace transform of both sides of the given differential equation to...
- Q a Find the Laplace transform F s L f t of the function f t sin wt defined on the interval t 0 F s L sin wt Hint Use...
- Q a Set up an integral for finding the Laplace transform of f t 1 6 B F s f t A where A and B help formulas b Find the...
- Q 1 point Consider the rational function A Select ALL terms below that occur in the general form of the complete partial fraction decomposition of F s The capital letters A...
- Q 9 1 point Find the inverse Laplace transform f t L F s of the function F s 9 2 f t 1 2 5 1 5 5 2 S...
- Q 1 point Find the inverse Laplace transform f t L F s of the function F s 9s f 0 L 9 7 64 9s 7 s 64 help formulas
- Q A tan x C B None of these This one can t be done using the method of substitution OC sec x C D 2 sec x C
- Q The position feet traveled of a car is given by the equation s t t 1 Find the time when the car is going the same speed as its average...
- Q Consider the curve given by x2 sin xy 3y2 C where Cis a constant The point 1 1 lies on this curve Use the tangent line approximation to approximate the...
- Q sin x dx O A 4 7 5 tan x C O B 7x 2 7 5 tan x C O c 4 7 5 cotx C O D 4...
- Q Jx 2 x 2 dx 3 x 4x x 2x O B x 4x C O C c x 2x C O A 1312 O D 1 3 C x...
- Q function f t defined on an interval 0 t L is given Find the Fourier cosine and sine series off and sketch the graphs of the two extensions of f...
- Q 6 Below is the graph of y f x on the interval 0 8 A Based on the graph put the following in order from least to greatest xxx xxx...
- Q I dx 3x tan x 4 dx O A 3x 2 sec x C B 3x4 tan x 4 OB O c 6x2 tan x 4 D 6x 3 sec...
- Q 5 Suppose a certain object moves in a straight line with the following velocity where is in meters per second and is in seconds v 2 1 3 sin t...
- Q 1 If r t is the rate of growth of a certain tree in feet per year where is in years what does the 40 expression r di represent
- Q 2 A population of rabbits starts off at time 0 with 225 rabbits and increases at a rate of r 1 rabbits per month where is in months 36 A...
- Q 4 Below is a graph of the function f x 5 4 3 2 1 It 4 5 6 7 y f x For what value of 0 is the...
- Q A particle s position in meters is given by the equation s t 5x sin 2x on the interval 1 4 minutes What is its instantaneous velocity at t 0...
- Q 3 The marginal cost for producing x units of a certain product is given by the formula MC 0 001x20 5x 66 5 A What is the increase in the...
- Q A paperweight is thrown straight up with an initial upward velocity of 60 meters per second and an initial height of 6 meters The acceleration due to gravity of the...
- Q An equation of the line tangent to the graph of f x 4x 8x 3 4 at the point where x 1is OA y 1 3 37497 x 1 B...
- Q Given that g t is continuous find the value of c if g t ct 2 cos if t 2 if t 2 32 A c 1 2 O B...
- Q Use your calculator to estimate sin 5 a 2241 dx you get OA 0 991 OB 0 253 OC 0 495 OD 1 236 OE 0 784
- Q The absolute maximum value of f x x 12x on the closed interval 1 4 occurs at x OA 2 OB 0 OC 2 OD 4 E Cannot be determined
- Q 47 Use your calculator to estimate f sin x 2 dx OA 3 628 OB 40 078 OC 4 734 OD 7 875 OE 4 320
- Q Use your calculator to estimate 4 sin 22 dx 4 OA 3 628 OB 40 078 O C 4 734 OD 7 875 OE 4 320
- Q Use your calculator to estimate to three decimal places 3 2 cos x dx OA 0 282 B 6 919 C 3 736 D 3 459 E 0 564
- Q The population of ground squirrels in a public park is measured to be 100 The growth of the population over time can be modeled by P t 600 1 5e...
- Q Use your calculator to estimate OA 3 315 B 4 021 O C 0 417 OD 0 221 OE 0 767 1 dx
- Q O A 1 000 OB 0 693 OC 2 000 OD 0 632 OE 2 914
- Q O A 1 000 OB 0 693 O C 2 000 OD 0 632 O E 2 914 LO J ax
- Q Given that f x is continuous f x dx 7 f f x dx 3 and 4 S f x dx 2 Then f f x dx A 2 B...
- Q Suppose that f x is continuous and that 5 x dx 3 x dx 2 and 3 x dx 1 Then 3 3 3 f x dx OA 5 OB...
- Q Given that fx dx 63 0 and 3 xdx A 121 5 OB 49 5 OC 256 5 OD 274 5 13 5 then f 3x 5x dx E Can...
- Q 1 Use the graph to estimate the intervals on which the 2 x function is increasing f x x 3 2 For each function graphed estimate the intervals on which...
- Q graph y f x 10T 81 41 21 2 3 III 4 Consider the following statements 1 f x dx f x da I below 5 II 1 f z...
- Q Systolic blood pressure levels above 120 mm Hg are considered to be high For the 100 systolic blood pressure levels listed in the accompanying data set the mean is 123...
- Q Find limx 6 x 12x 36 x 6 O A Does not exist OB 36 O C 0 OD CO O E co 8
- Q Find lim 6 x 12x 36 x 6 O A Doe s not exist OB 36 O C O O D D 00 OE 8
- Q The graph of y x 4 5x5 10x4 5x 10 is concave upward for all values of x such that A 0 x 4 B x 4 or x 1...
- Q M Which of the following represents the graph of f lx OA None of these OB n M O C O D
- Q Luvusta 5 v hennet n muuttuja x Muuttuja x kerrotaan luvulla 13 ja tulo lis t n luku 9
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