Suppose S t2 - 10t + 25dt For which positive value of x does f' (3)...
Question 3 1 pts Suppose f(x) = sizi t2 – 6t + 9dt For which positive value of x does f'(x) equal zero?
Question 17 5 pts Suppose f(x) = [Vť – 5t + 6.25 dt. For which positive value of x, does f'(x) equal O? 0 O 2.5 There is no such value of x. V2.5 O 1 Question 16 5 pts Use the Fundamental Theorem of Calculus to find the derivative, f'(x), of va t2 f(x) = S. dt. 4+ 3t4 1 x2 4 + 3x4 х 4 + 3x2 a 4 + 3x2 2 (4 + 3x2) -C 2+(4+ 3x2)...
Question 18 Given px +² + 2t - 35 f(x) = J. 1 + cos?(t) I dt At what value of x does the local max of f(x) occur? At what value of x does the local min of f(x) occur? 2 = Question Help: Message instructor Submit Question Question 9 0.5 dx Evaluate the integral: Jo v1 - 22 Question Help: 0 Video Message instructor Submit Question • Question 11 0/6 pts 100 Write the integral as a sum...
Question 4 (2 marks) Attempt 3 f(t)--t Find the Fourier transform of: e-10t 16-+t2)2 Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) = Question 4 (2 marks) Attempt 3 f(t)--t Find the Fourier transform of: e-10t 16-+t2)2 Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) =
11. The graph of fis shown. Determine the value of f (x)dx= y = f(x) - X 16 32 48 64 1 12. Consider the definite integral s sin(tw) dw. What is the interval of integration for this integral? What is the variable of integration? What is the integrand? 13. Suppose that f* f(x) dx = 5, ſ. f(x)dx = -3, * g(x)dx = -1 and 1 g(x)dx = 7. Determine the value of each integral. Box Answer (5) $(x)+...
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. 2 f(x,y,z) x 2 where S is the hemisphere x + y +z2 = 25, for z 2 0 The value of the surface integral is (Type an exact answers, using t as needed.) Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. 2 f(x,y,z) x 2 where S is the hemisphere x + y +z2 = 25, for z 2 0 The...
Suppose that f(x)dx = 9. Find the value of the following definite integrals. Complete parts (a) through (d). = (Type an exact answer, using radicals as needed.) (b) ] v3f(z)dz = dz=1 (Type (Type an exact answer, using radicals as needed.) (c) f(t)dt = (Type an exact answer, using radicals as needed.) |[-f(x)]dx = (Type an exact answer, using radicals as needed.)
A particle moves on a vertical line so that its y-coordinate at time t is y(t)=(1/3)t3-(7/2)t2+10t, where t is greater than or equal to 0. On which interval(s) is the particle slowing down.
Problem 5. Suppose that the continuous random variable X has the distribution fx(x), -00 <oo, which is symmetric about the value r 0. Evaluate the integral: Fx (t)dt -k where Fx(t) is the CDF for X, and k is a non-negative real number. Hint: Use integration by parts
Evaluate the surface integral FdS 11. F = x++ yj tz2k; s is the part of the cone z2-x2 + y2 for which l s z S 2, with n k positive. 11. F = x++ yj tz2k; s is the part of the cone z2-x2 + y2 for which l s z S 2, with n k positive.