ind the equ.of Plane that Contains plos1,3) and Parallel to the X-2 Plane and PerPendicular to the plane 2X+3y-Z=6

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: 1. Solve the initial value problem for the linear system of first-order ODES for x(t) and y(t): x' +...

A:

Q: Find a closed form solution for the following recursive sequence: An-1+ 3n + 1 for n > 1 with the in...

A:

Q: Show that there are infinitely many primes of the form 4n+3.

A:

Q: Given the argument: All dogs are animals. Some animals are hairy. Therefore, all dogs are hairy.

A:  All dogs are  animals .  Therefore set of dogs is subset of set of animals or is contained in set o...

Q: +(E)-E X1 +x2 Let the transformation T be given by T X2 %3D 2.x1 (a) Show that T is a linear transfo...

A:

Q: We defined the relation between sets by A - B means that there there is a 1-1 correspondence f : A →...

A: The complete solutions is in given below

Q: It is given that a(bx² + cx) + bc = 20x² + 24x + 30, where a, b and c are positive integers. Find a ...

A:

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 63 - 7y and the plane x+ ...

A: The Volume of the solid , V=∫x1x2∫y1y2∫z1z2  f(x,y,z) dz dy dx

Q: Let div F = 2(7 – x) and 0 < a, b, c < 13. (a) Find the flux of F out of the rectangular solid 0 < æ...

A: divF=2(7-x) 0≤a,b,c≤13.

Q: The gradient vector field of f(x,y)=cos(x) - 2sin(y) is: O1. f(x,y)= cos(x) i - 2sin(y) j II. f(x,y)...

A: Given vector field is fx,y=cosx−2siny. We have to find the gradient vector field. Differentiate fx,y...

Q: Find the minimum cost of a rectangular box of volume 100 cm whose top and bottom cost 6 cents per cm...

A:

Q: Determine whether the series converges using the limit comparison test. 5k2 – 2k + 8 2 20k9 + k – 20...

A:

Q: Situation 1. Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. A ball is...

A: We have to analyse the two situations then need to be solve.

Q: Cir cubafel 3. Put the following in order from least to greatest. 2.49, 2 4/100, 2.07, 2½, 2 1/3 or ...

A:

Q: We have lim 1 0, but - n-0 n lim f) 1 lim 1 = 1+0 = f(0). Thus n by Theorem 9.2.1, f is not continuo...

A:

Q: have a question the cost for producing xitmes is 40x+300 and the revenue for selling x itmes is 80x-...

A:

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: What are the sample space of the experiment? 6. 7. 8. P(X=x) C 20 3c 4C

A: In probability theory, the sample spac of an experiment is the set of all possible outcomes or resul...

Q: 19. Evaluate W (1+x, x, x²) (а) —2 (b) —2г (с) 2г (d) 2

A:

Q: For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent s...

A:

Q: Consider the three following matrices: 1. 1 0 A =0 -1 0, B= 0 0 and C = i 0 -i 0. 0. 1 0 0 1 0 i | C...

A: Given matrix are A=1000−10001, B=10000000−1 and C=0−i0i0−i0i0. We have to calculate TrABCT. First  f...

Q: The table below shows the number C of Crayola colors available t years after 1900. C = number of col...

A:

Q: -4 Let A Find the matrix exponential function eAt. 3 cos(3t) sin(3t) sin(3t) cos(3t). e At -4t = e c...

A:

Q: Let (bk-1·. bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (bk-1...

A: We will use the definition of binary representation to prove the given result.

Q: 1) SS (xy + y²) dx dy 0<x < 1 0<y<2 2 decimal places

A:

Q: Let F(x, y, z) = (-7xz²,9xyz, –2ry°z) be a vector field and f(x, y, z) = x°y°z. Vf=( ). V x F =( ). ...

A:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

A: Introduction: Maclaurin series is the special case of Taylor series. It is nothing but the Taylor se...

Q: Complete the following proof using CP. Be sure to show all work. 1. P ((Q R) v ) 2. (Q R) P 3. T ~S ...

A:

Q: 10, 15, 20, 25,30,35

A:

Q: (a) Find the amount of money accrued at the end of 8 years when $5000 is deposited in a savings acco...

A:

Q: 1 1 Let Hn = 1+ 2 1 +... + be the n-th Harmonic number. Prove that H2n <1+n for all nonnegative inte...

A:

Q: Which of the following is the general solution to the differential equation t dy 6te2t + y(2t – 1) ?...

A:

Q: Find a closed form solution for the following recursive sequence: An 3an-1+2 for n > 2 with the init...

A:

Q: Find the volume of the solid generated the area in the Ist quadrant bounded by the curves y За — х3,...

A:

Q: Determine whether A is invertible. If so, find A-1. [ 2 3 10 -4 (i) A = (ii) A = 4 1 -5 2

A:

Q: Evaluate the integral (show all work for any partial credit): ez-2 = f (7G-2+-1+ sin(z² – 2) ) dz c ...

A:

Q: Find the volume of the solid generated the area bounded by y = /x, the x-axis and x = 4, rotated abo...

A:

Q: [t5 ] = ? %3D 120 24 s6 O A D QI L[(t+ 1)?e] = ? 24 120 s5 Oc B s2 + 1 s2-1 L [sin? (t) + cos?(t)] =...

A: Given 1 Lt52 Lt+12et3 Lsin2t+cos2t

Q: arly independent functions. Please, stop posting the same copied solution fr

A: Given equation as, anxynx+an-1xyn-1x+.....+a1xy1x+a0xy0x=fx

Q: A steel company has two mills. Mill 1 costs P70,000 per day to operate, and it can produce 400 tons ...

A:

Q: Use the keyhole contour to show that dx а. V3 2n? xl/3(x + 1) logr b. -dx c1/3(x + 1) 3

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

Q: g(a) gla) - 9(a) 2 a - 8 a +8 For the case g(a) < 0, consider the function -g. consequence of this l...

A:

Q: Find the

A: From the given problem: z=6−x2−y2  ; z=2x2+2y2

Q: Prove that if A is a 2 x 2 grumpy matrix,' then det(A) is equal to the area of the fundamenta parall...

A:

Q: A particle moves along the x-axis so that its position at time 0 <t < x(t), whose graph is shown in ...

A: The inflection points are  x= 5, 7 and 12 In the interval (5,7) the graph is concave down  If the gr...

Q: 1 1 Let Hn = 1+ 2 1 +... + be the n-th Harmonic number. Prove that H2n <1+n for all nonnegative inte...

A:

Q: 6. Determine whether the following linear transformations are one-to-one. Are they onto? Justify you...

A:

Q: The general solution of the given differential equation y(4) – 6y" + 25y" = 0 is y = C, + C2x + C3x?...

A: To find- Find general solution of the given differential equation y4 - 6y''' + 25y'' = 0 is

Q: Use elementary row or column operations to evaluate the determinant. 2 0 4 6. 4 5

A: we can use elementary row operation and make a diagonal matrix first and after that we can find dete...