1. Show the function T : R² → R³ given by T(x – y, 3x + 2y, 0) is linear.

Q: Given f(x)=5x+2 Find f–1(f(2)).

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Q: A radio station runs a promotion at an auto show with a money box with 13 $50 tickets, 11 $25…

A: Answer)  Giventhat : From given information,  13 tickets = $50 11 tickets = $25 11 tickets = $5 20…

Q: G(s) = 7 s³(s+4)²

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Q: 1. (a) Solve the recurrence equation In 4.9n-1-3-gn-2 Vn ≥ 2; go = 1, 9₁ =7 (b) Let fn be the number…

A: (a)  Given that           gn=4.gn-1-3.gn-2        n≥2  ,     g0=1   ,     g1=7               ⇒…

Q: P(L, K) = 16L0.2 K0.8 Find the total units of production when L=12 units of labor and K=14 units of…

A: Given that Cobb - Douglas production function PL,K=16L0.2K0.8And L=12 and K=14 units

Q: Deduce the conclusion from the premises giving a reason for each. a. pv q b. q→ r c. past d. ~ r e.…

A: Kindly refer to Step 2 for the solution.

Q: Given f(x)=3x+1 Find ¹(f(2)). Step 1: Find ¹(x)= Step 2: Find f(2)= Step 3: Find ¹(f(2)) =

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Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: Find the flux of the vector field F = (0,0,-2) across the slanted face of the tetrahedron z = 1-x-y…

A: Given: F=0, 0, -2 , z=1-x-y To find: ∬S F·n dS=∫∫R dA

Q: Let f: RR be a uniformly continuous function. For n N, define a function fR → R by fn(x) = f (x +…

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Q: Indicate whether the following statements are true or false. For all equivalence relations on the…

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Q: 5. A field-hockey ball must stay below waist height, approximately 1 m, when shot; otherwise, it is…

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Q: Combinatorics Graph theory Let H be any graph, and let H’ be the graph with V(H’) = V(H) U {v} for…

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Q: Given f(x)=x+2 Find the inverse f¹(x). Use fractions in your answer. f¹(x)=

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Q: Use the given graph to answer the question. O 1.5 O O O O -7-6-5-4-3-2-1₁- 1 2 3 4 5 6 29/09 O calen…

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Q: M(s) = 2-16 (s² + 16)² S

A: The given function Ms=s2-16s2+162 We have to find inverse Laplace transform using convolution…

Q: What is the value of f 4xy² dx + (4x²y + 2)dy when C is the part of the circle x² + y² traveling…

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Q: Use a tree diagram to find the number of ways 3 letters can be chosen from the set {P,Q,R} if order…

A: We have to find the number of ways 3 letters can be chosen from the set {P, Q, R}.

Q: Given f(x)=20x+15 Find the inverse f¹(x). f¹(x)=

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Q: g: R --> R g(x)=x2+x  determine whether function is one to one and whether its onto. If function is…

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Q: ELT J solve the Dirichlet Problem on the rectangle [014] × [0₁3] Uxx +llyy =0, 04×44, 024≤3 U(0,y) =…

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Q: find the onto the Sub or thogonal space of B projection of Spanned by 2 0

A: Use the given information.

Q: Given = = -101 -7 2 -3 find the closest point to in the subspace W spanned by -27 -4 2 1 and 6 2 16

A: solution

Q: find a basis of the plane R So that tha matay B of the mirror reflection I of R² over the line…

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Q: Let the infinite region bounded by y I-axis. The volume of the infinite solid will be T8 3 the…

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Q: true or false: 1. Q+ ∩ R+ = R+ 2. Z+ ⊆ R+ 3. C U R = R 4. Q ∩ Z+ ⊆ R+ please explain for each…

A: We have to answer that which statement is true and which one is false with reason.

Q: 3. Find the geodesic equations for u" and v" for the torus X(u, v) = ((R+ r cos u) cos v, (R+r cos…

A: As per the question we are given the parametric equation of a torus X(u, v) and we have to find the…

Q: A committee of 4 students is to be selected from 15 students in a fraternity. a. In how many ways…

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Q: B. Prove each item (Item 3 & 4) of the following by constructing a proof by element arguments 3.…

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Q: Question 1. The inverse Laplace transform of -3s² +21s 100 (s+ 4) (s22s + 5)' is: peat + qeßt…

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Q: Find 21234567 (mod 509822653

A: The objective is to evaluate 21234567mod 509822653. Obtain the prime factorization of 509822653. The…

Q: 2 Given f(x)= )= ² + x² 5 Find the inverse ¹(x). f-¹(x)=

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Q: Which method is best for the claim: 2^n - 1 is prime for all n=2,3,4,... O induction O…

A: Counter example is best . Take n=11, Then 2^n -1 = 2047= 23*89 Therefore this is not prime.

Q: Find parametric equations for an object moving clockwise along the ellipse X= y= = 1 beginning at…

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Q: Define a language of polynomials recursively. Give derivation for 5x²+7x.

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Q: ← Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be…

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Q: Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 3y" - y' - 4y =…

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Q: Can you help with question B too please ?

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Q: Given that the Laplace transform of f(t) is s +6 s2+2s +1' F(s): = then the Laplace transform of…

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Q: Verify the following equation. F[sin(wot)H(t)] ولا 2 - ل + - [8(w + wo) - 8(w - wo)].

A: The objective is to evaluate convolution of the sine function and Heaviside function with initial…

Q: 6. Let V = R³,U = {(x, y, z) : x + 2y = 32} and W = ((1, 2, 3), (3, 2, 1)). Find U+W and UnW .Is the…

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Q: The area of the region between x=y²-1 and x=y+1 is given by 7. 2 L²₁ (x²-x²) dy 1²₁₂ (²+ y − y ²) dy…

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Q: Find a linear equation that has the same solution set as the given equation (possibly with some…

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Q: Consider the function f(x) = 12x5 +30x4 - 160x³ + 7. - f(x) has inflection points at (reading from…

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Q: Can I get d and e from above and a possible equation that can be used to solve for these?

A: Given today is Friday Total number of days in a week is 7 ∴221≡x mod7⇒221≡4 mod7 The fourth day a…

Q: Use a tree diagram to find the number of ways 2 letters can be chosen from the set (P,Q,R} if order…

A: Number of letter=3 Number of letter to choose=2 (a) When repetition is allowed then number of…

Q: How many 3 card hands are possible with a 13-card deck? The number of hands is

A: A selection of m objects chosen from among n options , regardless of their order is known as…

Q: Which of the statements it true? Check all that apply If is a conservative vector field in R³ then…

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Q: Find the rank and nullity of the linear transformation T(f(t) = f'(t) + 4f(t) from P₂ to P₂.

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Q: -35280 (s+7)7 where b, c and w are constants and t represents time. The inverse Laplace transform of…

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