Question 12 Compute the orthogonal projection of u onto v. Use the square root symbol 'V' where needed to give an exact value for your answer. 10 t = 5 7 =-2 projzt = |0 으으으

Q: Suppose that f : R -R is differentiable at z = 0. (a) Prove that (t) lim,-o EA = f'(0) (b) Give an…

A:

Q: Compute or show divergence: 1 а. dx 3 Vx+1

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Do two steps of the Newton's iteration for solving the system of nonlinear equations: 2ỉ + 2 = 1 I…

A: Use the following formulae, to find the approximate solution of the nonlinear system by the Newton's…

Q: A lottery has balls numbered 1 to 50 and six balls are drawn. You win first prize if you select all…

A:

Q: ydz = Cyc"-2z)dy

A: Given differential equation is ydx = (yey-2x)dy

Q: It is well known that any radiocarbon takes several decades to disintegrate. In an experiment, only…

A:

Q: Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: Given Interest rate (r) = 7.5% per year, compounded monthly = 7.5%12=7.512×100=0.00625 Present value…

Q: 5. Let A = {x E Z|x = 12r - 5 for some integer r} and B = {y € Z|y=6s +1 for some integer s}. Prove…

A:

Q: Match the formula of the exponential function to its graph. Graphs of Exponential Functions Formulas…

A:

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

A:

Q: Using the method of simple averages find the seasonal in a: onth Jan. Feb. Mar. Apr. May June July…

A: Introduction: Seasonal indices: Seasonal variation is quantified using an index known as a seasonal…

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Given that, the banquet hall charges $975 to rent a reception room, plus $39.95 per person. Let the…

Q: Now we assume that P(r) is true, that is, r can be written as a sum of 3s and 5s, for any cases,…

A: We are given a statement and its proof. We need to answer two questions about the proof. More…

Q: Graph the intersection or union, as appropriate, of the solutions of the pair of linear…

A:

Q: Calculate (13, 000 +2)10 (mod 13). Find the omeir lor of 3456 whon dlivided by the following Hint:…

A:

Q: f (x, y) = 3x2 + y + 4xy + 8 %3D af(z,y) when x = 2 and y = 1? dy What is the value of %3D

A:

Q: If B is the standard basis of the space P3 of polynomials, then let B={1, t, t², t³}. Use %3D…

A: Given that B is the standard basis of the space ℙ3 of polynomials, B=1, t, t2, t3. And the given…

Q: Solve the initial value problem below using the method of Laplace transforms. w" - 6w' + 9w = 9t +…

A: We have to find the solution by Laplace transform.

Q: Prove the following three identities: ΗΧΗ-Z HYH=-Y; HΖΗ- Χ.

A: We have to prove,  HXH = Z ; HYH = -Y ; HZH = X

Q: use synthetie division to find each fünetion value. Verify your another answers using method.…

A:

Q: 16. t cos 4t 18. cos2 2t

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Determine values of y at the pivotal points of the interval (0, 1), if y satisfie the boundary value…

A:

Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

A: The given problem is to find the solution for the given non homogeneous differential equation. Given…

Q: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

A:

Q: population model given in (1) in Section 1.3 (1) fals to take death into consideration, the growth…

A: Introduction: Differential equations are used to model the population model. For a given population…

Q: Write the exact value of the side length, in units, of a square whose area in square units is: (Make…

A:

Q: The graph of a rational function is shown below. Write the equation that represents this function.

A: Introduction: A function defined in the form of fx=PxQx, Qx≠0 is referred to as a rational function.…

Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A:

Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

A:

Q: Suppose a baseball team has 9 players. How many possible batting orders of those players can be…

A:

Q: 7. Suppose X is a continuous random variable with pdf ƒ and that Y = aX + b where a and b are…

A: Introduction: A continuous random variable is a type of random variable that assumes every value…

Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: show that d connot be obtained from a norm.

A:

Q: 1. Norah's bank offers personal loans for one to five years at 7.5% per year, compounded monthly.…

A: The formula we need to use here is n = lnDiDi-Pln1+i

Q: Theorem 10 Let f : [a, b] → R be a function of bounded variation on (a, b). If there exists a…

A:

Q: Iigure oblain by removing sque 12 12 ce each square so that the bottom left corner is at (0, 0) and…

A: Introduction: The centre of mass of a body or system of particles is defined as the point at which…

Q: Let V, 3 V3 = Vz= -3 8. %3D 131 2- -5 does { Vi,UeiVa} span R3?

A: Given vectors, v1 = 06-2 , v2 = 0-38 and v3 = 4-1-5 These vectors will span ℝ3 if they are linearly…

Q: Find the coordinate vector [x]B of x relative to the given basis B= {b1, b2, b3}. 1 - 3 - 8 - 1 b2 4…

A:

Q: Determine whether each improper integral below converges or diverges. 2 dx 3. S- x* + 2x – 3

A:

Q: The probability that a patient recovers from a stomach disease is 0.7. Suppose 20 people are known…

A: From the given information, p=0.7,n=20 and X~Bin20,0.7.

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, Y)…

A:

Q: Move the sliderk so that the graph of y = 2" gets shifted up 3 units. Then type the new function,…

A: We have to slide the k such that graph shifted 3 unit up.

Q: a十o log (a cos 6+6 sin 6) do=w log a>0, b>0.

A:

Q: Roller Coaster Crew Ray and Kelsey have summer internships at an engineering firm. As part of their…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Verify that the functions cos 3x and sin 3x are solutions of the differential equation y" + 9y = 0…

A: The complete solution is in given below

Q: R. K B. Match each equation with a graph above y = 4(1.16)* a. blue (B) y = 2(0.72)² b. green (G) C.…

A:

Q: Let B be the basis of P, consisting of the three Laguerre polynomials 1, 1-t, and 2- 4t +t, and let…

A:

Q: Find the maximum value of f(x, y) = x°y² for x, y > 0 on the unit circle x2 + y? = 1. %3D fmax

A:

Q: Solve the following first order equations: (a) (x²y? + 1)dx + 2a²dy = 0, use the substitution ry =…

A:

Q: The set B= {1+t, - 2t-t, 1+t+t} is a basis for P2. Find the coordinate vector of p(t) = - 2- 12t –…

A: