Calculus question and answers for January 13, 2024
- Q Pegion R is bounded by the x axis y axis x 3 and y A Find the area of region R x 1
- Q How many critical points does the function f x x 1 6 x 5 have O A 6 OB 13 O C 1 OD 7 OE 3
- Q What is the average value of y for the part of the curve y 4x x that is in the first quadrant O A B 3 2 O c D...
- Q If limx 3 f x 7 which of the following must be true 1 f is continuous at x 3 II f is differentiable at x 3 III f 3...
- Q The slope of the line normal to the graph of y 2 ln sec x at x is OA 2 OB 1 2 OC 2 D nonexistent E OE 1...
- Q In an experiment to study the growth of bacteria a medical student measured 5000 bacteria at time 0 and 8000 at time 10 minutes Assuming that the number of bacteria...
- Q The volume of the solid obtained by revolving the region enclosed by the ellipse x 9y2 9 about the x axis is OA 2 OB 4T OC 9T OD 6TT...
- Q Suppose that interest on money in the bank accumulates at an annual rate of 5 per year compounded continuously How much money should be invested today so that 20 years...
- Q The velocity of a particle on the x axis is given by the differential equation 3 da t and the particle is at x 5 when t 1 The position...
- Q Suppose an experimental population of amoeba increases according to the law of exponential growth There were 100 amoeba after the second day of the experiment and 300 amoeba after the...
- Q A particle moves along the x axis so that at any time t 0 its position is given by x t 3 12 2 36t For what values of t...
- Q The area of the region enclosed by the curves y 2x and y x 4x is A 18 B 12 143 O C 12 D 14 E 36
- Q If the definite integral e da is first approximated by using two inscribed f rectangles of equal width and then by using the trapezoidal rule with n 2 the difference...
- Q If limx 3 f x 7 which of the following must be true I f is continuous at x 3 II f is differentiable at x 3 III f 3...
- Q If d dy x cos x and y 3 when x 0 when x y dx A 6 OB 1 647 OC 3 215 OD 2 OE 3T
- Q For which value of x does the function f x x 2 x 3 have a relative maximum A Both 2 and 3 B 3 C 2 OD 5 2...
- Q Which of the following is a right hand endpoint Riemann sum approximation to f f x dx with six equal subdivisions A 1 5 2 f 2 5 f 3...
- Q Which of the following curves exhibits modified exponential decay has a y of 110 when tis 0 and approaches the value y 30 as t goes to infinity OA y...
- Q From this table of data 1 9 1 99 1 999 2 001 2 01 2 1 g x 4 5 4 97 4 998 5 002 5 03 5...
- Q 3 Solve the following Initial Value Problems IVP and find the interval of validity for the solution of each problem a y c y dy b e sec y 1...
- Q If y x 1 y and y 1 then y OA y 3x C OB y Cel 2x 1 O C y sin x OD y C x 3 OE...
- Q The graph of y g x is shown below where the curve above the axis is a semi circle The value of fog x dx OA 4T 15 O B...
- Q The rate of change of P with respect to tis directly proportional to 10 and inversely proportional to the cube root of P The differential equation that models this situation...
- Q Suppose the number of bacteria in a culture increases by 50 every hour if left on its own Assuming that biologists decide to remove approximately one thousand bacteria from the...
- Q The following graph could be the slope field plot for which differential equation below X 2 O A y Y Click here for long description You should try to do...
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