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Tutorial Exercise Find the indicated derivative. If f(x) = x + 5, find f'(x). Step 1...
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 Determine whether the sequence converges or diverges. If it converges, find the limit. on = (1 + 10) Step 1 If y = = (1+10)*, then In(y) = In((1+ In (1 + 0)") = 57 | 53"(1+1) Step 2 In(1 + 1) We can re-write 5x In(1 + 0) 1 1 5x 5.r Step 3 In(1+1) Now, lim In(y) = lim x → 00 x → 00 5x In(1 + 1 ) L'H ( 1 + 10 We...
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...
Tutorial Exercise For the triangle shown in the figure below what are each of the following? (Let y 36.0 m and r-39.0 m. Assume the triangle is a right triangle.) (a) the length of the unknown side (x) (b) the tangent of θ (c) the sin of φ Step 1 We can find the length of the unknown side, labeled x in the figure, by applying the Pythagorean theorem. 2-x2+y2 Solving for x, we have and we have Submit Skip...
I am able to derive it all the way to the third derivative, but I keep getting the fourth derivative wrong :- ( Tutorial Exercise How large should n be to guarantee that the Simpson's Rule approximation to Son 148x2 qx is accurate to within 0.00001? Step 1 K(b - a)" < where K is an upper bound for The error bound for Simpson's Rule is IES! |F (4)(x)] on the interval [a, b]. 180n4 The fourth derivative of f(x)...
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
Tutorial Exercise A rotating wheel requires 13.0 s to rotate 44.0 revolutions. Its angular velocity at the end of the 13.0-s interval is 89.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel? Step 1 Converting to radians, we find that the angular displacement Δθ undergone by the wheel in 44.0 revolutions is t rad. 1 rev Submit Skip (you cannot come back)
webession.net This question has several parts that must be completed sequentially. If you skip a part of the question, you will not rece will not be able to come back to the shipped part. Tutorial Exercise Find the derivative of the function. Simplify and express the answer using positive exponents only. ROX) = (x*(x2 + 5x)) Step 1 We want to find the derivative of the function R(x) = (x?(x2 + 5x), simplifying and expressing the answer using positive exponents...
Tutorial Exercise Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 9. Step 1 The given solid can be depicted as follows. The volume of the solid can be found by x dv. Since our solid is the region enclosed by the parabolic cylinder y = x2, the vertical plane y = 9, and the horizontal...
1- 2- 3- Tutorial Exercise Evaluate the indefinite integral. Vinter dx 1 + x18 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 x8 dx for which the derivative is also present, though perhaps missing a constant 1 + x18 factor. 17 Finding u in this integral is a little trickier than in some others. We see that 1...