Let f(x) = 2 and g(x) = x² (a) evaluate f(3), g(3) (b) find the formula for fog(x) (c) is the function go f(x) injective or not? (hint: if you have two different input ₁ and 2, then f(x₁) and f(x2) would be two different positive values.)

Q: What is the least squares line for data (1,1), (2,1.5),(3,3),(4,4.5),(5,5)? Ox+1 O x-1 O 1.1x -0.3 X

A:

Q: (d) Therefore n = s(0), because ... (e) Therefore n = 1, because ...

A: d) we know that s is injective function .therefore c implies d, Because if f is injective and f(a)…

Q: a) Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using row operations.…

A:

Q: (c) Let R be a finite commutative ring with identity. Prove that an ideal in R is prime if and only…

A:

Q: 3) A non-profit agency is electing a new chair of the board. The votes are shown below. Number of…

A: Answer :-  “Since you have posted a question with multiple sub parts, we will provide the solution…

Q: Find an explicit formula for kth term of the sequence with these initial terms. Assume k ≥ 1.…

A:

Q: ixed points and stability Slope field Phase line

A:

Q: (a) Let R be a ring and OR E R be the zero element of R. Then check as to whether or not {OR} is a…

A:

Q: (c) Given that the subset L= {1,-1, i, -i} of complex numbers is a group under multiplication, find…

A: Given: L=1,-1,i,-i is a group under multiplication. To find: Identity  and inverse of each element…

Q: Zachary deposited $1,200 at the end of every month into an RRSP for 6 years. The interest rate…

A: Given: Deposited $1200 at the end of every month for 6 years. Interest rate 3.50% compounded…

Q: Find the Fourier series of f(x) = |sin x| on the interval [−π, π]. Draw a sketch of f(x).

A:

Q: Does the graph pictured below Have an Euler circuit? Answer YES or NO in the box below. Justify your…

A:

Q: solve the following to find one real non zero root: non-linear algebraic equation. f(x) = sin…

A: The given function is, f(x)=sinsecx+x3 e5xtanx-e-x. To Find: One non-zero real root of the above…

Q: At Mr. T's Delicate Donut Shoppe there are 5 flavors of donuts on the dollar menu. You have 35…

A:

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x)=75x-0.2x². The…

A: As per our company policy, we are supposed to answer only the first three sub-parts of the question.…

Q: 3. Ruel is the brother of Bella. Dina is the sister of Ruel. Matthew is the brother of Tanya. Tanya…

A:

Q: QUESTION S Evaluate 6 cos 30 5+4 cos 0 -do.

A:

Q: 6. (E) Prove that there are no solutions to the equation 2x² + 5y² = 32² in positive integers (x, y,…

A: Given equation is    2x2+5y2=3z2  ------ (1)  Let's suppose that we have a solution x,y,z where…

Q: 16! 237 (mod 17. 19)

A:

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: Relative frequency of male persons, n(M) = 0.515 [from the table] Total number of persons, n = 1.000…

Q: Suppose f(x,y) = C is the solution of the given Differential Equation. Determine the value of the…

A:

Q: Find the least squares approximating line for the given points and compute the corresponding least…

A: The given points are 0, 4, 1, 1, 2, 0. We have to find the least squares approximating line for the…

Q: A certain protected species normally doubles its population each month. The initial population is…

A:

Q: Convert the following Linear Program problem to standard form. Maximize: Subject to: 2x+y 0≤x≤ 5 0≤…

A:

Q: O A heated fluid at temperature T (degrees above ambient temperature) flows in a pipe with fixed…

A:

Q: Find the mass of an object with density p(x, y) = x4 if the object is a region D bounded by x² and…

A:

Q: 5 Questions 5 and 6 refer to the following information. Dakota and Alex work as babysitters. For…

A: Dakota charges   $10  per hour  and  $5  for travel expenses.  Alex charges  $8 per hour  and  $4…

Q: Solve the Goursat problem: Utt- c²Uxx = 0 u|x-ct=0 = x² u|x+ct=0 = x4. nt: Use the formula for…

A:

Q: Chapter 6, exercise 4.3: (a) Compute the left cosets of the subgroup H = {1,x5} in the dihedral…

A:

Q: Three people are lined up behind each other, from shortest to tallest. They are shown five hats,…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: [1 2] ---- 3 4 and B 5 6 Let A = T1 2 3] 4 5 6 Tick the option(s) that are mathematically valid…

A:

Q: Prove by induction on n that for all n € N, <2 14+24++(n-1)4 < (When n = 1, the sum on the left-hand…

A:

Q: Suppose n € N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down…

A:

Q: Chapter 2, exercise 10.2(a): Let H and K be subgroups of a group G. Prove that the intersection…

A:

Q: The limit of the function f as x approaches a is the number L, written as limx→af(x) = L, if for…

A: We have to show that limx→1+ 41-x=-∞ i.e., the function fx=41-x approaches infinity when the…

Q: Where is the function f(z,y) cas y sin z cos y 2/0 x=0 continuous? Prove your answer.

A: It is given that,   f(x, y) = cosy sinxx,x≠0cosy,x=0 We have to show that,  fx, y is continuous.

Q: What is a11  for the geometric sequence with a1 = 4 and r = 4? Suppose g1 = 4 and g2 = 1. The rest…

A:

Q: the characteristic polynomial p(λ) for a square matrixA is given. Write down a set S of matrices…

A: The characteristic polynomial of a square matrix A is given by ; p(λ) = 3-λ2-2-λ3λ2. We have to find…

Q: Determine the properties of the system described by: a. y[n]=nx[n]

A: Answer :-

Q: Let a, b, c € Z and n E N. Assume a = b (mod n). Prove that ac = bc (mod n).

A: It is very important to know what a=b mod n stands for. We recall the definition and using the…

Q: Let A = [100 -2 1 1 3 -1 and D= A = PDP-¹. Find matrix P = -2 0 0 10 0 0 02] 0 a b c 3 1 2 d 07 . A…

A: Roots of characteristic equation are the eigen values of the matrix Solution of the homogeneous…

Q: 24. Using the CAD drawing below, calculate the measures of angles C and E in degrees and minutes if…

A:

Q: Let A = P = [-17 2 2 2 -14 4 2 4 -14 D = Find an orthogonal matrix P with rational entries and a…

A:

Q: 14 15 Xt=2+eWt X+ = 3 + ln Wt

A: Please find the attached answer.

Q: ]i+ 5x sec² (xy) —- 3] + [6 y j+(6xz+2) e³x² –3]k, For F(x, y, z)=[5ysec²(xy)+6z²e³² find the curl…

A:

Q: Find an x whose image under Tis Define T: R2 R3 by T(x) = Ax, where A = -1 1 ->> -9 7. X = 18 -4 26…

A:

Q: Q20. Suppose a computer program has been initialized such that the following sets have been stored…

A: A-B is the set  A-B= { x: -7&lt;=x &lt;=0 , 26&lt;=x&lt;=48} Therefore cardinality is = 8+23= 31

Q: If V is the volume of the solid obtained by rotating the region under the curve y cos(x) from x-0 to…

A: We will be using cylindrical shell method Volume (V) of the region formed by rotating the region…

Q: Problem #4: Use Green's Theorem to evaluate the following integral, (ex² +241-³) dx + (21³ - 24x³)…

A:

Q: Determine the pivot element in the simplex tableau. (If there is more than one correct pivot…

A: