Tutorial Exercise Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. -VX 47 e dx х Step 1 00 х dx = 47 e dx can be evaluated using the 47 1 х substitution u = b lim b→ 1 x and du = Tx dx. Submit Skip (you cannot come back)
Tutorial Exercise Use the distributive property to write the expression without parentheses. Simplify the result, if possible. See Examples 3-4. (Objective 3) -8(a2 -a + 5) Part 1 of 2 To apply the distributive property, multiply 8 by each term within the parentheses. -8(a2 a5)(8)(a2)(8) 8a x )(s) Submit Skip (you cannot come back Need Help? Talk to a Tutor
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Tutorial Exercise Evaluate the indefinite integral. Jerez 42 + ex dx Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in Jerez 42 + ex dx for which the derivative is also present. We see that 42 + ex is part of this integral, and the derivative of 42 + ex is ex et which is also present....
Evaluate the expression. C(8,5). C(7, 2)
Tutorial Exercise Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. -VX dx & e Step 1 - b е e 504 47 dx = lim b→ Ji 47 dx can be evaluated using the substitution u = x and VX 1 du = dx. 2V 2. Step 2 When x = 1 we have u = 1 and when x = b, we have b Vb Step 3 So lim b→ os 47 e...
28. -/1 points Evaluate the given expression. C(9,5)
12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For (
12. Using generating functions, find the number of solutions of the equation 41 type C(6,4).) (For (
Use Green's theorem to evaluate the line integral Sc xay dx + 2xy?dx where C is the triangle with vertices 10,0), 12, 2), and 12,8).
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
5. Evaluate the value of arcsin (-2) 6. Evaluate the expression sin (arcsin (-3)). 7. Evaluate the expression arctan(cos(it)). 8. Evaluate the expression tan (arcsin (-2)