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Let be a sample point. The definite integral g(a) do is equal to Select one: Ο....
Question 1 (1 point) Determine the following definite integral 2 4x3 + 28x5 + 36 dx x2 1 Question 2 (1 point) A particle has velocity function given by v(t) = 64-192. Determine the total distance traveled over the interval [0.7]. Do not include units in your answer. Question 3 (1 point) Suppose g(3) = 5 and g'(3) = 26. Determine the derivative F'(3), where r9(30) F(x) = La Red 4 1 + t2 dt.
MATH119 - Final tion 6 Let f and gbe differentiable functions on R and consider the function et answered h(z) = 5" }()g()dt ed out of 5 ag question Which of the following is equal to h'()? (Warning. Be careful that, in the definition of h(x) the definite integral is with respect to t.) Select one: a. f(2).9(3) A b. [*}"(w)g(t)dt + f(z)g(0) c. f'(x) · g(x) d. [ 7)g(e)dt + f(2)() eſ sz)ge)dx + $()() Next page
(1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into n subintervals of equal length. Then the upper limit of integration must be: b6 and the integrand must be the function f(a) (1 point) The following sum 5n n TI is a right Riemann sum for a certain definite integral f(x) dz using a partition of the interval [1, b] into...
FINAL EXAM SAMPLE Question 1 [5 points] Use right-end point Riemann sum to evaluate the definite integral with n-4. FINAL EXAM SAMPLE Question 1 [5 points] Use right-end point Riemann sum to evaluate the definite integral with n-4.
Write the line integralſ, F. dr as a definite integral of a real-valued function. Do not evaluate. where F(x, y, z)=(-x, yz,x+y) and C is the helix r(t) = (cost, sint,t); 051521.
please help me with these, thank you. Exercise 34: (The integral of a Gaussian/Bell curve) Let et(1+x2) dr 12 f(t) dr g(t) and and h(t) f(t)2 + g(t) Problem sheet 9 Homework 29. Mai 2019 a) Compute h(0) b) Compute h'(t) for all t 0 Remark: You have to argue why you can interchange differentiation and integration c) Compute lim h(t) d) Use a)- c to show that edr 1 da and _ Exercise 34: (The integral of a Gaussian/Bell...
(1 point) A. Let g(t) be the solution of the initial value problem dy dt with g(1)1 Find g(t) B. Let f(t) be the solution of the initial value problem dy dt with f(0) 0 Find f(t). C. Find a constant c so that solves the differential equation in part B and k(1) 13. cE (1 point) A. Let g(t) be the solution of the initial value problem dy dt with g(1)1 Find g(t) B. Let f(t) be the solution...
inal point β. Show plex constan I. Let γ be a directed smooth curve with initial point α and term directly from Definition 3 that f c dz-c(β-α), where c is any contioninge® Does the same formula hold for integration along an arbitrary con β? Definition 3. Let f be a complex-valued function defined on the ined on the directed smooth curve y. We say that f is integrable along y if there complex number L that is the limit...
Let C be the curve with parametrization 7 (t) = 8sin(t) 7 - 8cos(t)j + (15t-10) where 0 sts2. Which of the following is equal to dř in the line integral (3.dñ of a vector field F(x, y, z) along C. Select one: a. di = 17dt b. dr = [8cos(t)7 +8sin(t)] +15K ]dt c. di = 289dt d. dň = [8sin(t) 7 – 8cos(t)] +15K ]dt e. di = [8cos(1)7 - 8sin(t)] + 15% ]dt
Reversing order of integration in f(x,y)dy do results in an equal integral of the form b [T f(x,y)dar dy. a c Determine the unknowns a,b,c,d. Which of the following is the correct value of a+c?