Please do part C and D and please show step by step and explain

Q: 4. f(t)=e¹+7. 5. f(t)= test. 6. f(t) = tcost. 7. f(t) = t sint. 8. f(t) = et sint.

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Q: 2.15 Find a graph G with 10 vertices, 24 edges and Y(G) = 4. 10 2193

A: Please find the attached solution

Q: Assume that 0 0, consider the sequence of sets: A₁ = {\fn-f|> }, n=1,2,... (1) Show that, for every…

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Q: The 4D point (2, 3, 4, 5) is, according to the book section 6.4.1, projected to the hyperplane that…

A: please find the attached answer

Q: Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 an…

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Q: Suppose L(x) = -5x + 1 is the local linearization to h(x) at x=2. What is h(2) ? not enough info to…

A: Given L(x)=-5x+1. L(x) is local linearization to h(x). We have to find h(2)?

Q: Find the following matrix product, if it exists. 100 0 1 0 0 0 1 -2-5-9 8 4 100 OA. 010 001 -6 0 2-8…

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Q: 2. Using the function f(x) = 2x+cos³ (x) - sin(x) bounded by x = 4 to x = 10 Find the area using…

A: The given problem is to find the area of region bounded by given function and x=4 and x=10 using…

Q: The 3 x 3 system below has solution ₁ = 1, ₂=-2 and 23 = 0. 4r₁ +2r₂-2r3 = 0 2r₁-622-2r3 = 14 3x1-22…

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Q: If G is a group and H is a subgroup of index 2 in G show that H is a normal subgroup of G.

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

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Q: Definition: Let V be a vector space and U₁, U₂, ,Uk be subspaces of V. Then V is said to be a direct…

A: I have constructed subspaces of R^2 and explained the counter example.

Q: Let F = {(x, y, z, w) ≤ R¹ : z = x + y, w = -2y-x} = . Which of the following statements is false? O…

A: Given that z= x+ y and w = -2y - x Therefore (x,y,z,w)= (x, y, x +y , -2y -x)…

Q: (a) 5-2+0.8 -0.32+... D

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Q: t²y' + 2ty - y³ = 0

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Q: The Acme Company has developed a new battery. The engineer in charge claims that the new battery…

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Q: αι = Ω_(7q+6) @ = 0 = ΠΩ(+1)t-qΩ-11+4 Ω_(q+1)t-q ΠΩq+1)t-q + 1 Πιο Ω-(n+1)t-q Ο Th ΣΠ +1 h=0 k=1 6 1…

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

Q: The following statements are made about (right) cosets of a subgroup H of a group G. Say whether…

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Q: 4) The marketing committee at a company decides to vote on a new company logo using Approval Voting.…

A: Answer :-

Q: (a) Let G be an abelian group and show that any subgroup H of G is a normal subgroup of G

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Q: Find the zeros and the corresponding multiplicity of the following polynomials and then draw the…

A: To determine zeros of polynomial f(x) then put f(x) equal to zero.  Multiplicity of a zeros is how…

Q: A 5000-seat theater has tickets for sale at $27 and $40. How many tickets should be sold at each…

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Q: Find the family of graphs G of order p such that y(G) = p.

A: Please find the attached solution

Q: (a) (only 4115 students) Prove that the function ƒ (x₁, x₂) = log (e™¹ + e²²) is convex on R².

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Q: 2) Consider the DE: (2xy - 6x²)dx + (x² +9)dy = 0 A) Determine whether the DE is exact or not, then…

A: as per Q&A rules we have to answer only one question, when there are more than one different…

Q: Question 4. A circle centered at (0,0) with radius one is revolved about the line x=3. The solid of…

A: The equation of the circle is x2+y2=1 Now consider a horizontal strip of width dy…

Q: 10:3 what is the ratios to thoughs to number

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Q: Q₁. Construct a connected graph with at least 12 vertices such that the minimal dominating set has 6…

A: Please find the attached answer

Q: Calculate the following limits, or explain why they diverge. 3n²+ n-1 n→∞ -2n² + n-4 (a) lim

A: Limits of the rational sequence

Q: Suppose we want to prove: "If n is an even natural number, then for all x € R, x" ≥ 0." Classify…

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Q: the equation to the plane in the new position is ax + by ±z √√a²+ b² tan α = 0.

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Q: Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of…

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Q: For the function f(x)= 6x-2​, construct and simplify the difference quotient f(x+h)-f(x)/h. The…

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Q: Subgroup H of a group G is a normal subgroup of G if and only if the product of two right cosets of…

A: Let H Be a normal subgroup of a group G, and x,y be any two elements of G. Hx ,Hy are any right…

Q: 4. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember…

A: 4. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember…

Q: 2) f(x) = (x-2)(x − 1)(x + 1)(x +

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Q: Determine a CRS modulo 17 whose elements satisfy both of the following properties: i) congruent to 3…

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Q: 1. Let a, b, c E Z and n E N. Assume a = b (mod n) and b = c (mod n). Prove that a = c (mod n).

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Q: the price of gold decreases at a monthly rate of 1.8%, by what percentage does it decrease in a year

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Q: If G is a group and H is a subgroup of index 2 in G show that H is a normal subgroup of G.

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Q: (b) Let I, J be ideals (two-sided) of a ring R and check as to whether In J is an ideal (two-sided)…

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Q: x+z = hz 11p> to * Y (1) = 0

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Q: 1. Let f(x, y) = x² + 2y² and C be the curve along y = x³ from (0, 0) to (2,8). Find each of the…

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: 5.8. Let R = C[t]. Show that S = R[x]/((x)^(x, t)²) is not flat over R.

A: please find the attached answer

Q: Let H and K be subgroups of a group G. Show that their intersection H ∩ K is also a subgroup of G.…

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Q: 10. For the following locations, find the rotational speed of Earth. • Washington, D.C., with…

A: We know that at equator the radius of the Earth is 6371 km. Therefore the circumference of the earth…

Q: Q7. For Theorems below give an example tree T with 15 vertices. Theorem 1. If a tree T is a wounded…

A: Please find the attached answer

Q: prove that A Sub. treelong powevr 21 L droeb to H dreelans бога b of G if and is a only ; f every…

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Q: y +1 Z Find the acute angle between the lines and 1 m n and 1, m, n are the roots of the cubic…

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