can you solve and explain it with good hand writing pls P 4. Let f be...
can someone solve this question in good hand writing with explination of steps b) Solve the following problem using Laplace transformation: u = 104, +x.p?, 0<x< too, :>0, (0,1) = 1, u(x,0) = 0 Tim u(x,1)=0 *-* Xvx
Please explain the answer in detail and in good hand writing! Thanks a lot! Let y = x Ax be a quadratic form where x ER" and A ERNXN. What ду is in terms of x and A? дх
Please explain the answer in detail and in good hand writing! Thanks a lot! Why is an affine transformation (f(x) = Wx.+ b) sometimes called a “linear transformation” (f(x) = Wx)? Hint: Consider their common properties.
Can Some one solve for me this problems. Please with good hand writing and question names 3) Consider the function, f(x ) = sin x from x =-π to x = π. What is the slope of the line that passes through the highest point on the curve and the lowest point on the curve? 4) Given g(x)- 5) What is the area enclosed by the lines x = 4, y = 2, and xy = 24? Į sin (x...
good hand writing plz 11. (8 points) Let T:R + RP be given by the matrix A= [1 2 3] 0 1 2 [036] (a) Find a basis for Ker(T). (b) Find a basis for Im(T).
4. Let f be a differentiable function defined on (0, 1) whose derivative is f'(c) = 1 - cos (+) [Note that we can confidently say such an f exists by the FTC.) Prove that f is strictly increasing on (0,1). 5. Let f be defined on [0, 1] by the following formula: 1 x = 1/n (n € N) 0, otherwise (a) Prove that f has an infinite number of discontinuities in [0,1]. (b) Prove that f is nonetheless...
hello sir, solve both questions Problem 5: Let f : A → B be a function, and let X-A and Y-B. Show that X S(x)) Problem 6: Recall that BA denot es the set of all functions A the function f : P(A) → {0,1}A by B. Fix a set A and defi ne f (X)Xx (the charact erist ic function), VX EP(A) Prove that f is a bijection
After reading the questions carefully, please prove and compute the questions with clear hand writing. I need to understand clearly, so when you prove these questions, please prove it step by step clearly!!!! 3- Let f: [0,1R be defined by f(x) = x2. For each n e N, let P be the partition of [0, 1 into n equal subintervals 3-1) Find formulas for U (f, P,) and L(f, P,). You may use the formula 2 = " n)without proof....
Please, I need clear writing if you choose to write by hand for a,b,c, and d. thanks, 5. In each step, explain clearly what property or axiom you are using. (a) Prove "inclusion-exclusion," that PAU B)-P(A)+P(B)-Pan B) (b) Prove the "union bound" that P(Ai UA2) P(Ai) P(A2). Under what conditions does the equality hold? (c) Prove that, for A and A2 disjoint, P(A UA2 B) P(A B)P(A2 B) (d) A and B are independent events with nonzero probability. Prove whether...
pls solve as quickly as possible hand written also ok but pls be fast Q1 Given, f(x) = { 1, 95*<2 (x +1,25x<4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (b) Determine the Fourier cosine coefficients of Q1(a). (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b).