:: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14, 21, 9). (A) 16 (B) 12 (C) 13 (D) 10 (E) 14 (F) 15 (G) 11 (H) 9

Q: Find Im(z) if z(8 + i) = 7+ (384 + 448i)

A:

Q: Find AB and BA. 1 0 [0.73 -0.81 A = and B = 0 1 0.86 0.45 Part: 0/ 2

A:

Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y) (...

A:

Q: 1. Graph the following set on a number line and express the set in interval notation. {x\xs -2} -10 ...

A:

Q: Type the correct answer in the box, In 1979, the price of electricity was $0.05 per kilowatt-hour. T...

A: Given: The price of electricity in 1979 is 0.05$ The increase in rate annually is 2.05% To find the ...

Q: Let S be an nonempty open connect subset of R^2. What is the number of possible continuous onto func...

A:

Q: Which of the following is a false statement? OnC, = r!, Pr r!n Pr a combination is an arrangement of...

A:

Q: Find the maximum and minimum values of the function

A: Given,          g(θ)=3θ-9sinθ  on 0, π  

Q: If S is a region in the xy-plane whose moment about the x-axis is given by the definite integral 1 (...

A: Given S is the region in xy plane whose moment about x-axis is Mx=12ρ∫01(x-x2)dxwhere ρ is density o...

Q: A sporting goods manufacturer determines that the demand function for a certain brand of skateboards...

A:

Q: • Determine the maximum revenue and the production level that will realize this. • Assume that Plan ...

A: The number of units sold multiplied by the average sales price equals revenue, which is computed by ...

Q: Let glt) =e"t + Ž G ). sinCnt) Slre y'+4y=gGt),( deare the anouerr こ as a pariès.)

A:

Q: •7/4 What is the extremum of J(y) = | (/ +1– 2y)dx if the extremal y is given by y(x) = sin? (x)? no...

A:

Q: 1/12,1/2,1/13,1/3 , 1/6 Arrang the fraction , Ascending Order

A: Given  1/12, 1/2, 1/13, 1/3, 1/6

Q: d. x = 4 and (s + 1) x + y = 3 38 The value of s:

A:

Q: How many ways can you draw a 5 card hand from a deck of cards if 2 cards are red and 3 cards are bla...

A: Correct ans is option C

Q: compos on of mappings is a binary operation by completing the multiplication table for * fi f2 f3 f4...

A: There are four types of basic operations in mathematics (addition , subtraction , multiplication, di...

Q: 1. Derive the 5th degree MacLaurin series expansion of f (x) = 1- 2x

A:

Q: 8. Assume A is an invertible matrix. (a) Prove that 0 is not an eigenvalue of A. (b) Assume A is an ...

A:

Q: To get a feel for higher order ODES, show that the given functions are solutions and form a basis on...

A:

Q: Solve the initial value problem 1+2r? (r+ 2)y' + 4y = y(-1) = 2 r(r + 2)3'

A: Intial value problem, first order linear differential equation

Q: For any integer k, prove that gcd(2k +3, 5k +7) = 1.

A: Use the given information.

Q: Use the Comparison Test to determine if the series converges or diverges. 00 Σ 5n – cos2n - n3 + n² ...

A:

Q: Ao E F Figure 1 O A) There is a circuit. O B) There are multiple edges. O C) It is a connected graph...

A: We have given a graph.

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y = x...

A:

Q: Determine whether the equation is exact. If it is, then solve it. (y? sin x) dx + (1/x-y/x) dy = 0.

A:

Q: Skill-Building Activity Use power series to solve the differential equation. 1. y' - y = 0

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: A store is having a sale on school supplies. The following expression represents the total of Jan’s ...

A: Greatest common factor  of a and b is a number that is the largest common factor of each of a and bo...

Q: Let al) = t on GO, a), g (6)=0 GO,a), g (6)-0 Extend gGt) to an odd function L-a,a) then extend gct)...

A: This is the problem of set and function.

Q: For each of the cases, give an example of function f:Z → Z. Verify your examples. (a). one-to-one an...

A:

Q: Let R be the planar region bounded by x=y^2 and y=x - 2. a. Draw R. b. Set up iterated integrals, us...

A: There are two types of planar bounded regions. A type I region D in the xy-plane lies between two v...

Q: Find Re(2) if z(4 +) -z+ (80 + 96)

A: In the given question we have to find Re(z) if                                                      ...

Q: +o dx So J10 x

A:

Q: Find o (in degrees).

A: Given,       

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A:

Q: Use the method of variation of parameters to find the general solution of the differential equation ...

A: We have to find the general solution of given differential equation by the method of variation of pa...

Q: 5. Show that the set of complex numbers can be considered a vector space over the set of real number...

A:  A Complex number is in the form x + yi where x , y are real numbers and i is an imaginary number. A...

Q: 6. y = In (e' + e")

A:

Q: 3 -1 20 - Let u1 = Uz = and y = 3 Uz = 3 -2 -4 Let W = span{u1, u2, U3} (i) Find the orthogonal proj...

A:

Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

A:

Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,-1,4), C(a. b.c), the midpoint M(1. 0,9) of ...

A: The complete solutions are given below

Q: Activity Solve the initial-value problem 1. y" - 3y' – 10y = 0 , y(0) = 0 , y'(0) = 7. 2. y" + 14y' ...

A: Note: We are entitled to solve only one question at a time. As the specific number is not mentioned,...

Q: Use Y=sin) and reductiori of order to find the generale soletion to the homogeneous differenticl equ...

A:

Q: Find the eigenvalues and the corresponding eigenvectors. [cos ne - sin ne (a) sin no (n is some cons...

A:

Q: Find a basis for the subspace of R4 spanned by S. S = {(5, 9, −5, 53), (−4, 5, 4, −5), (8, −4, −8, 1...

A:

Q: Find the pattern of addition/subtraction from one x-value to the next and from one y-value to the ne...

A:

Q: 2. Use the Integral Test to determine if the series Σ (n+2)¾ 1 n=1 converges or diverges.

A:

Q: Question 3) Using Reimann sum, find the area under the graph of the function f(x) = 1– x? Take the i...

A: Definition of the definite Integral

Q: Let F and G be vector fields with differentiable components. Express curl (F × G) in term of div and...

A: Let F and G be a  vector fields with differentiable components. div curl(F)=0 F→=x2i^+y2j^+xyzk^ G→=...

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x) ...

A: