See picture f(x) = 2L periodic extension to f for all other values of x Show that f and f' is continious functions for all x and f" is partly continious

Q: The degree of the differential equation satisfying vi+x² + /1+y² = k [x/1+y² – yv1+x² ] is С. З А. 1…

A:

Q: Find both the sum and difefrence of Matrix A and В. 4 -6 A = 6. 15 B= 11 - 23 -12 3 51 35 -4 71 52…

A:

Q: Problem (i) Consider the normalized vector v in R3 and the permutatior matrix P, respectively 1 v =…

A: given  v=1311-3  =1313-3 P=010001100 (i) are these three vectors v , Pv , P2v linearly independent?…

Q: 3. Consider A(r) = (y, -x,0), and the line integral A• dr along the C boundary of the plane x + y +…

A: The given vector function is A(r)=(y,-x,0)., the line integral ∮CA·dr is along the boundary of the…

Q: sin x cos x 1- cos x 2. Consider the equation: 1+ cosx tan x a) Determine the non-permissible…

A:

Q: Integrating Factor by Inspection: 1. (2y – 3x)dx + xdy = 0 2. (x – y²)dx + 2xydy = 0 %3D %3D

A:

Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

A:

Q: Use series to evaluate the limit. V1+x-1 1 ーX lim

A:

Q: Some questions supply a data set, like the one below, which must be used in order to answer the…

A: 4 8 9 5 2 7 7 5 8 Adding the given data  Sum = 4 + 8 + 9 + 5 + 2 + 7 + 7 + 5 + 8 Sum = 12 + 9…

Q: In a ring R without unity, show that every idempotent is a zero divisor but is not nilpotent.

A:

Q: A relief worker needs to divide 540 bottles of water and 144 cans of food into boxes that each…

A:

Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x,y, :) = -, In (x) + In (y)…

A:

Q: Determine whether the series converges absolutely or conditionally, or diverges. (-1)" n = 1 8"…

A:

Q: Find all the values of x such that the given series would converge. 00 (-1)"x" Σ 7" (n² + 6) n=1 The…

A:

Q: Perform the indicated operations and simplify the result. sec e sin e 1 tan e 1 - sin 0 1 sec20

A: To perform the indicated operations and simplify the result.

Q: Solve the equation y' = x^3 + y^3 / xy^2 fraction homogeneous first order ODE set v= y/x

A:

Q: a tan Vy? + x² = z*e®%. Solve for az az and

A:

Q: Determine what number the product is congruent to in mod 3. 5.8 5.8 = (mod 3 )

A:

Q: 3.) S(1 – sin²xcos²x)²dx

A: As per our guidelines we need to solve only one question. Please repost the remaining questions as…

Q: Find all the values of x such that the given series would converge. (-1)"(х")(п + 7) (4)" n=1 The…

A:

Q: Solve the following differential equation y'"+2y'+y=x-1 Select one: O a. YG.S= C,e¯+c2e¯2X+x-3 O b.…

A:

Q: Problem (i) Consider the normalized vector v in R³ and the permutation matrix P, respectively 0 1 0…

A:

Q: (x – 3)2 - 2)2 = 1 36 64 A) C: (3, 2); F: (2, -5), (2, 11); A: y = 16 y = - 16 X - 1 B C: (3, 2); F:…

A: We have to find the centre, foci and asymptotes for the given hyperbola.

Q: Gien fl) = 2 - x, Draw the graph -3 2-4 f9: ー7 -)-, ()3 っ. *2-1 d. flo) =2-C0)) 1* 0月t e fli) -…

A:

Q: Find the area lying outside r = 2 cos 0 and inside r = 1+ cos e. Area =

A:

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: We can solve this using given information

Q: Solve the following differential equation y" +2y'+y=x-1 Select one: O a. YG.S= C,e¯+cze¯2X+x-3 O b.…

A:

Q: Find the compound amount and the interest earned when the given investment has continuous…

A:

Q: Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow…

A: We will find out the eigenvalues and associated eigenvectors of the coefficient matrix of each…

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Introduction: A rate of change is the relationship between a change in an output quantity and a…

Q: If f (x) is continuous on (a,b], we define f (x) dx= lim f (x) dx Xa+ x

A: Solution

Q: Determine the cube root of (3 + j4). Round-off the modulus to 3 decimal places, the angle to the…

A:

Q: 7. xdx + ydd = 8. (2x2 + y)dx + (x²y - x)dy = 0 (x² + y²)dx

A:

Q: 3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the…

A:

Q: dr = 83 8= gravitational force 1. %3D dt in m/sec2 when t = 1, v= 4.

A: Since you have Posted multiple questions, we will solve the first question for you. If you want any…

Q: Question 11. of S = {1,2, ..., n}, for G(T) = GT. For G = S, state necessary and sufficient…

A: We need to state necessary and sufficient conditions on T, a subset of S={1,2,...,n} for G(T)=GT

Q: 3. xdy – ydx = 3x2(x² + y²)dx 4. (3x2 + y?)dx – 2xydy = 0

A:

Q: 5. Let o1, 02, 03 be the Pauli spin matrices (? 0 1 1 0 1 03 = 01 02 i and oo = I2. Consider the…

A:

Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

A:

Q: atisfies the given conditions = 30.3°, B = 38.6°

A:

Q: Evaluate the following Integrals: 1. (sin(4t) – 3 sin(2t)“ dt 6. Vsech(4x) tan (4x) dx 3 sin sinh 3y…

A:

Q: 3. Evaluate the following limits, if they exist: 1 (a) lim 1 +3 2x x→-0

A:

Q: Use Laplace transforms to solve the following initlal Value pr S y0)(t) – y(t) = 8 (t) y(0-) =…

A:

Q: A contour map for a function f is shown. 16 of 12 Use the contour map to estimate the sign of the…

A: To find sign of fx , fy we need to check f is increasing or decreasing when we change x by keeping y…

Q: If f is just that L =e*[-sin(x + y) + cos(x +y)] and Te ay -e" sin(x+y) which if the following is…

A:

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Using shell method

Q: (b) C(R)= {f:R→R | ƒ continuous} with pointuwise addition and multiplication of f, ge C (R) defined…

A:

Q: Choose as the right endpolnt of each subinterval. Then So the definite Integral Is glven by 9 dx 3D…

A:

Q: Determine convergence or divergence of the alternating series. 25) E (-1)n+1n+ /n n = 1 n2 + 1 8.

A: