k = 4 4. Let k be the second smallest nonzero digit of your Student ID. Compute the order of (k, k) in Z/9Z x Z/12z.

Q: for all integers a, b, and c, if a divides b and a divides c, then a divides (b2-c2). prove this…

A: Introduction: Divisibility is the base of number theory. For two integers a and b, if there exists…

Q: Using production and geological​ data, the management of an oil company estimates that oil will be…

A: Area bounded by curve y=f(x) i.e. area under curve from x=a to x=b Area  =∫abfx dx

Q: Solve the following IVP: X' = AX + f(t), where 2 -1 A = 3 -2 and X(0) = ( : -3 2 f(t) 10t ||

A: First we need to find the eigenvalues and eigenvectors of a then find the complementary solution of…

Q: Verify 2 is a primitive root mod 13, and then answer the following: Find a solution to x5 = 11 mod…

A: If p is prime, then b is a primitive root for p if the powers of b include all of the residue…

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A:

Q: Find the area of the region shared by the cardiods r=12(1+cosθ) and r=12(1-cosθ)

A:

Q: 6. Draw the Hasse Diagram for the poset: ({{1), {2}, {4}, {1, 2}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3},…

A:

Q: Column A Column B 1. It is a closed figure made up of segments that intersect at their endpoints and…

A: # As per the guidelines we are entitled to solve one question , please resubmit the other question…

Q: Sketch the graphs of the following cubic equations onto graph paper. (x) - х' - Зx? -6х +8 b (x) -…

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

Q: O an augmented matrices Giren the following 1 2 1. 1. A= 1. B = decied whither the system has solut…

A:

Q: Delermine which values of K, w1l give a Unique Solution , no Solution , infinitely many solutions to…

A:

Q: what is the equation of this picewise function? 1000 8.0 40 2 10 -8 4-2 468 10 -2 40 6. 4, 6,

A:

Q: 22 +6 -9 -6 Find the slope. 3 3. 4. -1 3

A: We want to find slope of given graph.

Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

A:

Q: a. Plantea sin evaluar una integral iterada para evaluar [[ ƒ (x, y)dA, donde f(x,y)=1+x²y', & R es…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Solve the system of differential equations x' = 31x + 56y ly' 16x 29y - - x(0) = 7, y(0) = - 4 The…

A:

Q: Let Pn denote the vector space of polynomials in the variable x of degree n or less with real…

A:

Q: 5. The denominator of a fraction is four less than the numerator. If the denominator is doubled and…

A: Let, numerator =x        denominator = y Then fraction is x/y Here , denominator is 4 less than the…

Q: Determine the vector field of F. Fir y) - 4i - ?i

A: Given F=4i-2j the point is (4,-2)

Q: Major Topic 2. (a) Compute r'e* dx (b) Compute / cos(x) sin* (x) d.r.

A:

Q: Determine the graph of the cylinder. z= 5y - 1 Choose the correct graph of the equation. O A. OB.…

A: Introduction: In geometry, a cylinder is a fundamental three-dimensional object with two parallel…

Q: Exercises O Determine whether the following systems are Cansistent or not. a) 5X +2y = 1 b) X, + X2…

A:

Q: . Given x = 22 log3 (9) , what goes in the blank of y

A:

Q: Bill drove his car at a constant speed while on a trip. Kevin drove his car at a different constant…

A: From graph, Bill's trip, At t= 1, d(t)=55 At t = 2, d(t)= 110 Bill's speed = d(2)-d(1)/ (2-1)…

Q: (a) Define ƒ : R –→ Z as follows: f(r) is the smallest integer y which is at least r. Decide whether…

A:

Q: A lottery game requires that 6 different numbers are picked from 1 to 12. If someone picks all 6…

A:

Q: In formally proving that lim (z² + x) = 42, let e > 0 be arbitrary. Choose ô nin). %3D m Determine…

A:

Q: 2. sVr .: s Vt

A:

Q: Assume

A: Option I)P(5,5)

Q: Use the Divergence Theorem to compute the net outward flux of the field F= (4x, y, - 2z) across the…

A:

Q: Prove: If x, y, z are integers with x2 + y? = z², then either x or y (or both) is even. Hint: Do a…

A:

Q: Let P, Q, and R be statements. Which of the following logical equivalence is False? P=Q = ¬P=¬Q P=Q…

A:

Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

A:

Q: 18. Find all critical points of f(x, y) = In(x+y) +x² – y +1 and classify each critical point as a…

A:

Q: A person purchased a new car for $26,200 and financed the entire amount. Suppose that the person can…

A: Given that: Loan amount is $26,200 Payment per month is $200 and the payment are made at continuous…

Q: Express the area of the region bounded by the given line and parabola as an iterated double…

A:

Q: 5 Let (sn) be a bounded sequence, and let k be a non number. onnegative real (a) Prove lim sup(ksn)…

A:

Q: Let r be the second largest digit in your student ID. Let G and H be groups, and let p : G → H be an…

A: Given that G and H be groups and φ : G→H be an isomorphism. Also given g∈G have order r. To show: φg…

Q: Find div F and curl F if F(x, y, z) = xz°i+ 4y°x*j+22²yk. div F= curl F=

A:

Q: Use the formula for „P, to solve the following question. A club with nine members is to choose three…

A:

Q: =D13 3×ナ57+12 54-92+ 3W 子2 -G0 tチx 3W-2X -59 =50 =-50 ニ12 Fcanned with CamScanner

A:

Q: ® let the functions: 4:R-A gR-R,with こXe2 Prove that: Tx(4g) =4Vxg +CVf)xg

A: Given two functions: f(x,y,z)=x2eyz3, g(x,y,z)=(x2z2,-xyz,y3ez) To prove  ∇×(fg)=f∇×g+(∇f)×g

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: ekermine if the vector b =[-3 1 5] is linear Combination of the vectors [- 2 1 17, %3D a2 =[3 1 1]…

A:

Q: A homogeneous system of equations is a system of the form a11 a12 din X2 Amn Aml Am2 Xn (b) Prove…

A:

Q: Find the series for cos⁡x/(1+sin⁡x ) by differentiating the power series of ln⁡(1+sin⁡x ). With…

A:

Q: Ms. Poo Hun deposited P120,000 in a cooperative with 2.5% rate of interest. After 10 years, she…

A:

Q: (2) Construct the truth table for the statement (q - p)V ~ p.

A:

Q: Indicate the cardinality of the set A, defined as the union of four sets of cardinalities 22, 31,…

A:

Q: State FIVE (5) ways in which technology can be used to enhance the learning of Mathematical concepts…

A: Please check the next step for details