a) A capacitor (C) which is connected with a resistor (R) is being charged by supplying the constant voltage (V)of (5)v, The thermal energy dissipated by the resistor over the time 2 5 is given as E = = "P(t)dt, where P(t) = (exc)² x XR, Find the energy dissipated R b) Evaluate: 0x x²e-x dx

Q: 4. Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

A:

Q: . Let f(x+iy) = u(x, y) + iv(x, y), where u : R² → R and v : R² → R are defined by u(x, y) = x +…

A:

Q: a) For the matrix A below, find the eigenvalues, the eigenvectors, a basis B for which the matrix…

A:

Q: A. Determine if p = i-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the general…

A:

Q: (b) Find an equation of the plane that contains the line x = 1 + t, y = 2-t, z = 4 - 3t and is…

A:

Q: find / x(n) if XCZ) = 2 Z² (Z-1) (Z-0.5² 22 Z²

A:

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Let x=c∈-4,4 Where c be an arbitrary constant. R.H.L. (Right Hand Limit) at x=c      limx→c+…

Q: 4 Solve your given set of simultaneous equations (with three variables) using matrix and determinant…

A:

Q: find the eigenvalues and eigenvectors if Possible and then find the matrix P for which PAP-D for the…

A:

Q: Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation.…

A:

Q: 400 X1 600 X3 x2 X4 300 100 X5 (a) Solve this system for x₁, i = 1, 2, ..., 5. (If the system has an…

A:

Q: 3. Let f [2,3] {1,3} be a continuous function such that the equation f(x) - r = 0 has a solution a…

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: د و ولد 6 -1) ze

A:

Q: Find ordinary and exact interest on P10 800 for five days at 8% simple interest

A: We need to find Ordinary and exact interest rate. We have given that , P = 10800 r = 8 % = 8100 =…

Q: Let E be any Euclidean sp The following properties hol ap f: EE is an isometry fof=

A:

Q: Find Inverse Laplace Transform £-1 12-7S $5/2

A:

Q: The table shows the number of cars manufactured in thousands by a company for selected years. Use a…

A: Let the quartic polynomial be f(x) = ax4+bx3+cx2+dx+e Hence, only options b or c could be correct…

Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for ƒ(x, y) = e-¹²-y² for…

A: The function f(x,y) is a rule that associates or fixes a number to the particular point x. If…

Q: 5) lim (x³-4x+5) X.

A: Given limx→-∞x3-4x2+5

Q: 5. Is the function given by F(x): = x = -1? Why or why not? Vx continuous at

A:

Q: Consider a thin wire with a line density 2(x)= B(x+2) If the wire has x=0 a length 2 = 3m and a mass…

A: Given (Line density) λx=βx+2 (Length) L=3m (Mass) M=2kg

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to 22 min…

A: Given that a state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead…

Q: Are the following isomorphic  ? Why

A: We know that ,  Two graphs G1 and G2 are isomorphic if there exists a matching between their…

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^6 + 8D^4 + 16D^2)y = 0

A:

Q: Consider the multivariate linear model that we have discussed. That is, E(X) = BW and V [vec (X)] =…

A: Consider taking a regression equation in the form of  y = [ X1 X2 ] [β1 β2] + ε = X1β1 + X2β2 + ε.…

Q: Consider the function f : R² → R² defined by f(x, y) = (xe* cos y — ye" sin y, eª y cos y + xe"…

A:

Q: Assuming that f(x, y) is an integrable function, which of the two cross-sections would you choose to…

A: As per the question we are given a 2d region of integration defined as the area bounded by : y = ex…

Q: If f(x, y) = C, CE R, find y" d²y dx²¹

A:

Q: What is the remainder of 3220 divided by 19? 9 3 05 07 01

A: We have to find the remainder of 3220 divided by 19. Fermat little theorem:- If p is prime and a is…

Q: 2. The demand and supply functions for seats on a certain weekend bus route are given by Demand…

A: As per the rules, we can answer only 3 subparts, please post the remaining subparts as a separate…

Q: 5. Calculate the following integral √e (z − 1) (2³ — 1) -dz for each of the following contours C. In…

A:

Q: The table shows the number of phones sold by a small cell phone provider in various years. Use a…

A: phone sold in a given year since 1996 and use the model to estimate the number of phones sold in…

Q: Find the root using newton raphson method for f(x) = sin(x) − x²

A: Given function is f(x)=sin(x)-x2 From the given equation, it is clear that 0 is one of the root of…

Q: Fin the future value of an ordinary annuity with regular payment of p 1000 at 5 percent interest…

A: Given  (Present value) p=1000 (Interest rate) r=5%  (Number of period) n=3 year compounded quarterly

Q: Definition: If A, B = Matnxn (C), we say A and B are conjugate if there is an invertible matrix C…

A:

Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. y” + y = secx tanx

A:

Q: Determine which congruence method can be used to prove that the given triangles are congruent.

A: Congruency is a relation that is applicable for geometric figure. Two figures are congruent to each…

Q: Q11 Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval…

A:

Q: Use a central difference method to approximate the first derivative of cos(x) at x = pi/3., assume…

A: To approximate the first derivative of fx=cosx at x=π3 by taking the value of h=0.01.

Q: In the figure, A, Q and B lie on a straight line. A and B are 38 m apart. The angles of elevation of…

A: given figure

Q: 11) All non-zero elements in Z[i] are non-zero divisors in Z[i] 12) In a commutative finite ring R…

A:

Q: Q11 Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval…

A:

Q: CON Change PT... Global warming not used yet Lesson 5-3 8 23 AGDK has vertices at G(-5, 3), D(-7,…

A: Two lines are perpendicular if the product of slopes of the lines is -1.

Q: any Hermitian positive definite matria A=M-N, + N is Hermition, and if it is positive

A:

Q: You are given the point values (1, 1), (2, 4), (3, 9) for some function f(x). You determine an…

A: Solution

Q: Find the maximum and minimum values of the function f(x, y, z) subject to the constraints z+y-z-2…

A:

Q: Show that cosh x> 1 + x² for all x.

A: comparison

Q: hand written plzz The table shows the number of cars manufactured in thousands by a company for…

A: Solution

Q: 4) (y+*2)dx =xdy

A:

Q: 5. Check the convergence of the following series: (2) Σ' (#1) (b) Επ Σ 1998-

A: We need to find convergence and divergence of the given series ,  (a) ∑n=1∞ lnnn+1 Here , we know…