Calculus question and answers for August 03, 2023
- Q Find the anti-derivative of g(x) = 2x which contains the point (2, 0).G(x) = x - 4G(x) = 2x + 4G(x) = 2x - 4G(x) = x + 4
- Q Suppose = 3 sin(x) - 4 and y(z) = 3.dydxWhat is y(27)?y(2?) = -3 + 4?y(2?) = 3 4?y(2?) = -3- 4?y(2?) = 3 + 4?
- Q If the rate of change of T is proportional to (20+ T), where T> -20, and if T(0) = 2 and T(4) = 10, find T(20).A. 86.643B. 84.31C. 83.652D. 81.745
- Q Find the general solution to the equation: y' = 6xy.y= 3/3x^2 + C1y=-1/3x^2 +C1y= -1/x^2 +C1y=-1/3x^2
- Q Graph the parabola.y=-x+2x+4Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on...
- Q Water is being drained from a upside down conical tank at a rate of 12 m/sec.The radius of the base is half the height of the tank. At what rate...
- Q Find r(t) if r'(t) = t^7i + e^tj + 5te^5tk and r(0) = i + j + k.r(t) =
- Q 26 find the general solution for the differential equ 7y2 3x option A y 2x 3 C B y ZX c c Y 2x c D y 7x c w...
- Q 6 Find the area under the curve y X over the interval 1 4
- Q Evaluate the definite integral S 12C1nxj5 X dx
- Q The pendulum in a grandfather clock makes one complete swing every 2 seconds The maximum angle that the pendulum makes with respect to its rest position is 6 We know...
- Q Evaluate the dernite integral 5x 4x 8 dx C 2
- Q for a find the consumer Surplus if the demand functio particular beverage is given by D q 3000 and demand are in equilibam 3q 1 and if the supply q...
- Q Evaluate the definite integral 8x 5 dx X Si 3 option A 13 51n3 B 16 51n3 C 51n 3 3 D 8 51n3
- Q Calculate the iterated integral S 6xy x y dy dx
- Q A contour map is shown for a function f on the square R 0 6 x 0 6 y 6 3 10 3 20 30 40 20 30 40 X...
- Q Calculate the double integral 3xy 2 R X 1 J dA R x y 10 x 3 2 y 2 A
- Q 3 Power functions versus exponential functions Recall A power function is a function that can be represented in the form f x kx where k and p are constants and...
- Q Evaluate the integral using the following values x 8 x dx 960 x dx 24 x dx 24 dx 4 x 18 dx
- Q Evaluate the integral using the following values x dx 320 x dx 16 dx 3 fra
- Q iven F x f x dx 3 and Exercise a a Fx Therefore Step 1 To evaluate the integrals use the additive interval property of integrals which is given as...
- Q MY NOTES ASK YOUR TEACHER Sketch the region whose area is given by the definite integral 1 2x 3 dx 1 1 y 10 8 6 4 2 2 y...
- Q Evaluate the integral using the following values L x dx x3 dx 1020 8 L 11 dx 8 8 x dx 30 dx 6
- Q Use the substitution formula to evaluate the in tergral 6 3 St 3 j d 2
- Q Evaluate the integral using the following values 8 x dx 1 020 x dx 30 dx 6 L 6x 1 11x 7 dx
- Q Step 1 To evaluate Then Step 2 3 a 6 6 L 5f x dx use the following property of the definite integral 3 b To evaluate 5f x dx...
- Q Find the area of the shaded region 3 y 0 912 2 96 y 2 y x 9 x y 0 3 X
- Q Sketch the region whose area is given by the definite integral 5 3 dx O O 5 y 4 y 3 2 18 16 14 12 10 8 6 2...
- Q 10 Use the integral test to determine whether the following series converge or diverge a n 5 n 1 b n 1 2n 1 n4 Hint Rewrite the integrand as...
- Q Find the value s of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval Round you answer to four decimal places Enter your...
- Q Given that a b Rx dx f x dx 3 and 1 f x 1 F x f x dx 5 evaluate the following f x dx rx dx r...
- Q Comparison of Companies Revenues The rate of change of the revenue of company A over the time interval U dollars week whereas the rate of change of the revenue of...
- Q Use the Trapezoidal Rule and Simpson s Rule to approximate the value of the definite integral Compare your result with the exact value of the integral Express your answers correct...
- Q LO O f x 3x and g x x x 1 5 5 a 10 20 10 20 30 S O e 5 30 e O 5 10 M e
- Q 3 S In 13x dx 1 3 s in 1 Do not round until the final answer Then round to four decimal places as nee In 13x dx
- Q 11 1 2 6 5 4 1 0 1 2 3 4 f t TT 2 TT 3m 2 5 2n 5m 2 31 Using the image above find a...
- Q 1 Set up but do not evaluate the following triple integrals Use cylindrical or spherical coordinates if possible a E E x y z x y 3 z 5 x...
- Q Evaluate the improper integral if it is convergent If it is divergent type DIVERGENT Lo x 8 00 x 9 DIVERGENT dx
- Q Use the divergence theorem to determine the flux of F2 X Y Z X Y Z across the Sphere of radius P 2 centered at the origin
- Q Na when x 4 per unit Du La Cu A firm has the marginal demand function D x At The demand function is D x 1800x x 25 where D...
- Q The graph of y f x is shown to the right Graph y f x 4 Choose the graph of y f x 4 O A O C 10 Ay...
- Q Evaluate the integral Round to the nearest tenth as needed 4 S7x11 2 7x In x dx OA 46 9 OB 64 9 O C 11 1 O D 6...
- Q a D x is the price in dollars per unit that consumers are willing to pay for x units of an item and S x is the price in dollars...
- Q I use the definite integral to find the area between the x axis and the graph of FX over the indicated in tenal F x 2x x 0 2 option...
- Q For k 0 let Dk x y 0 x kr and a sin x y 2 and let Ak be the area of Dk Which of the following statement is...
- Q 1 Compute the following double integrals Be sure to show all steps a JJ 2xy 2 xy 3 dA where R is the rectangle R x y 1 x 2...
- Q Find the length of the curve where r t 4ti cos t j sin t k and 0 t 34
- Q Evaluate the dethite integral 2 5x 4x 8 dx 9
- Q 7102 eigenvectors is 0 a has three distinct eigenvalues and one of its 0 0 A 0 1 0 c 0 0 Which one of the following can be anothe...
- Q Evaluate the definite integral 1 xv X 48x 1 dx
- Q O f x x 3x and g x x 3 y 10 8 6 4 2 20 10 8 6 20 10 2 6 8 10 8 6 4 2...
- Q 0 0 1 0 1 0 State what the shaded area represents A Total cost in dollars B Rate of change of area C Total area in square feet D...
- Q Find the following parameters for the figure shown a The expression or equation for this graph b Period of the graph c ao d an e bn and f Fourier...
- Q and the area of the shaded region x x x 20x g x 0 6 5 4 3 2 50 40 30 20 10 1 20 30 40 50 1...
- Q Next que 0 A company determines that its marginal revenue per day is given by R t 140 e R 0 0 where R t the revenue in dollars on...
- Q 0 1 0 0 1 0 1 0 1 0 1 Find the area under the graph of the function over the interval given 1 y 1 4 x OA...
- Q The period is Enter NONE if not periodic help numbers Click
- Q 0 Use geometry to evaluate the definite integral 0 10 0 1 0 1 0 1 8 0 8x dx OA 256 B 68 OC 32 OD 512
- Q O 1 0 1 0 1 0 1 Evaluate the definite integral and interpret the result 16 S x 3 dx 0 4 3 2 1 1 3 10 12...
- Q A graph of f x is shown below 10 10 4 0 10 3 2 1 2 5 4 1 f x 1 2 5 Suppose g x f 2x...
- Q 2 2 Sketch the volume bounded by the surfaces z 1 y 2z 2 in the first quadrant and set up the bounds for an integral over this region in...
- Q DISTANCE Inches 10 9 8 7 3 2 1 0 0 1 2 3 4 6 7 8 DISTANCE Inches 5 The green upper triangle has an area of 6...
- Q ar UE as ur tte Find the area of the shaded region f x 20x x x g x 0 The area is Type an integer or a simplified fraction
- Q Find the area of the shaded region f x x 8x 24x g x 12x 45 The area is Type an integer or a simplified fraction
- Q Find the area of the shaded region f x 6x x x g x 0 The area is Type an integer or a simplified fraction
- Q Find the area of the shaded region f x x 8x 21x g x 6x 36 The area is Type an integer or a simplified fraction Next question 1 30...
- Q ar JE S ur te Find the area of the region bounded by the graphs of the given equations y x y x x 0 x 1 Set up the...
- Q S Find the area of the region bounded by the graphs of the given equations y 4 y x x 0 The area of the region is Simplify your answer
- Q A company determines that its marginal revenue per day is given by R t where R t is the total accumulated revenue in dollars on the tth day The company...
- Q 8 Determine whether both of the following improper integrals converge or diverge If it converges specify the value it converges to 4 points 2 0 12 1 1 2 dx...
- Q Determine the following f4e 4e 0 4x 0 4x dx dx Type an exact answer
- Q T 9 Use the comparison theorem for improper integrals to prove that 2 points cos x x7 dx converges
- Q 4 Evaluate 8x 12x2 7x 2 2x 2 dx
- Q Suppose f is an even function with Evaluate each integral 2 6 1 a 1 x f x 2x 1 dx b f 0 f x dx 3 3 2...
- Q Does the series converges conditionally converges absolutely O diverges 1 k7 5 k 1 Does the series k 1 1 k 37 5 O converges absolutely O converges conditionally O...
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