x = -6 28. Suppose that {$(x)dx=-6. Se (x)dx = 8 and !!) . Find ļ[3/(x)+8(*)]dx...
(1 point) Let F(x) = ļ," f(t) dt, where f(t) is the graph in the figure. Find each of the following: 2 A. F(2) = 0 B. F'(4) = 2 5 69 7 C. The interval (with endpoints given to the nearest 0.25) where F is concave up: interval = (1.5, 4.5) (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where...
8.2 Suppose that ,* f(x) dx = 6, 8* g(x) dx = 4, and S f(x) dx = 2. Evaluate the following integrals: a. -S2f(x) dx (2 Marks) b. Si(3f(x) – 2g(x)) dx (2 Marks) c. $*f(x)g(x) dx (2 Marks) d. S@dx (2 Marks) [Sub Total 20 Marks]
a. 8.2 Suppose that S* f(x) dx = 6, 5+ g(x) dx = 4, and Sf(x) dx = 2. Evaluate the following integrals: - Sa 2f(x) dx (2 Marks) S*(3f(x) - 29(x)) dx (2 Marks) S* f(x)g(x) dx (2 Marks) SIC) dx (2 Marks) C. d. g(x) Sub Total 20 Marksl
E. Consider a continuous random variable X with cdf F(x) = x3/8, 0 < x < 2. (27) The pdf f(x) of X is (а) 6х (b) x3/8 (c) 3x2/8 (d) x2/4(28) E[X2+3X] is (а) 6.9 (b) 4.3 (с) 4.5 (d) 8.1 (29) The probability P(X > 1) is (a) 7/8 (b) 4/8 (c) 6/8 (d) 3/8
Pg.3 51. The position function of a particle moving along an x- axis is given by )4.Se+10+2: where x is measured in meters and t in seconds. a) Where is the particle located at exactly 1s? 5) What is the magnitude of the velocity at 1.5s? ) At what time, if ever, does the particle (momentarily) stop? d) Where is the particle at the time it stops? e) When, if ever, is its acceleration zero? 6] An Airplane whose ground...
S*x221) dx B) 2604 C) 15,624 D) 1302 7) 7) An object at the end of a spring is immersed in liquid. Its velocity (in cm/sec) is then described by the equation v 2e-2.se-9, where t is the time (in sec). Find the displacements as a function of tifs=-1 cm fort=0 sec. A) s-e-2.490 C)s=-2-4-9. D)s=219, Find the area bounded by the given curves. 8) y = x, y = 4x A) 16 Solve the problem. Round your answer, if...
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
2 6 3 -2 5 -1 8 3 13 9 f(x) The function f is continuous on the closed interval [2, 13) and has values as shown in the table above. Using the intervals [2, 3]. [3, 5]. [5, 8), and [8, 13), what is the approximation of " f(x) dx obtained from a left Riemann sum? (A) 6 (B) 14 (C) 28 (D) 32 (E) 50
1. [1pt] The following formula represents the transverse displacement from equilibrium of a particle on a string y(x) -1.5 cos(3x+900, where x is measur T (true), F (alse), G (greater than), L (less than), or E (equal to), For example, if the first statement is true, and the others should be completed with "equal to", enter TEEE ed in meters, y in centimeters, and t in seconds. Select the correct answer for each of the statements below fro You only...
C, D, F??????? A partidle moves according to a law of motion s-t), t0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ft) - - 721t (a) Find the velocity at time t -32-14 +21 ft/s (b) What is the velocity after 1 second? 1)10 ft/s (c) When is the particle at rest? t 2.33333333 | X (d) when is the particle moving in the positive direction? (Enter your answer...