1.1 Be f: R->R given by , Show that f ist convex
1.2 Be f: given by . Show that f ist convex
1.3 Show, that for all applies :
1.1 Be f: R->R given by , Show that f ist convex 1.2 Be f: given by . Show that f ist convex 1.3 Show, that for...
8. Constantly Differentiable continuation Determine a function f: R->R that apply to the following properties - For all applies f(x) = sin(x) - For all ,applies f(x) = - f is continuously differentiable r e-oo, 0 OC e1, o0) We were unable to transcribe this image r e-oo, 0 OC e1, o0)
8. Constantly Differentiable continuation Determine a function f: R->R that apply to the following properties - For all applies f(x) = sin(x) - For all ,applies f(x) = - f is continuously differentiable r e-oo, 0 OC e1, o0) We were unable to transcribe this image
1.5. Show that in the (r, )-space Rn+l the planes (1.3) are characteristic with respect to the wave equation (1.1). Also show that the plane wave solutions (1.4) are constant on these planes. The wave equation a2u We were unable to transcribe this image 1.5. Show that in the (r, )-space Rn+l the planes (1.3) are characteristic with respect to the wave equation (1.1). Also show that the plane wave solutions (1.4) are constant on these planes. The wave equation...
Please answer both 1.1 and 1.2 Question 1.1: Enter the value of the following limit if it exists, or enter DNE and upload an explanation of why the limit does not exist: Question 1.2: Enter the value of the following limit if it exists, or enter DNE and upload an explanation of why the limit does not exist: We were unable to transcribe this imagelim f(a) x +3+ lim f(x) 270-
Let be a set. Show that the convex hull of , denoted by , is equal to the set We were unable to transcribe this imageWe were unable to transcribe this imagecvx(S) We were unable to transcribe this image cvx(S)
Let U ⊆ R^n be open (not necessarily bounded), let f, g : U → R be continuous, and suppose that |f(x)| ≤ g(x) for all x ∈ U. Show that if exists, then so does . We were unable to transcribe this imageWe were unable to transcribe this image
Let ⊂ be a rectangle and let f be a function which is integrable on R. Prove that the graph of f, G(f) := {(x, f(x)) ∈ : x ∈ }, is a Jordan region and that it has volume 0 (as a subset of ). We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
An object is placed so=15cm away from a convex mirror of focal length f=−30cm. Answer the following questions. 1. What is the distance siof the image from the lens? 2. The image is: 3. What is the magnification of the image? so - 15 cm We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image+45 cm -45 cm 10 cm +10 cm We were unable to transcribe this image5 23 23...
Show that is not uniformly continuous on . f:R +R, f(1) = x + 2.0 We were unable to transcribe this image
1.1 1.2 1.3 1 CIRCULAR DISK Com sdke a le r . 1.1 5 POINTS Set up a coordinate system with the centre of the disk at the origin. 1.2 15 POINTS Calculate the electric field a distance z above the centre of the disk. 1.3 10 POINTS How does this compare to the electric field a distance z above the centre of a rod of length 2R with the same total charge?