How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4? e) are divisible by 3 but not by 4? f) are divisible by 3 and 4?

Q: Show that for any odd prime p, the Gauss, G(p), can be rewritten as p-1 G(p) = 5². x=0

A: To Show- Show that for any odd prime p, the Gauss, Gp, can be rewritten as Gp = ∑x=0p-1ζpx2.

Q: LOGICAL OPERATORS 1.-(-pv-q) 2. p^-q ^ rv (-pv-q) 3.-(p A -q v r) v (pv -q)

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Q: Consider the linear dynamics. Let A = SO -2 0 O O 1-4 A For s = 1 in A c) For 6 = B₁ = for 6 = 1 in…

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Q: - Graph the surface 1 = y² + z² — by first sketching at least three cross sections in each of the xy…

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Q: circles G and are congruent, what can you conclude about OG and OE?

A: Given question is Circles G and E are congruent, what can you conclude about OG and OE?

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Q: Question (1 2y¹ (y + 2) = xy ¹/2

A: Given : 2y'y11+2=xy12 To Find : Solution of given differential equation

Q: Given: Find: 7. (g)(x) 9. (f/g)(x) f(x)= x² + 10x + 25 h(x)=x²-49 e(x)= 3x² + 25x-38 g(x)=x+5…

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Q: How many pathways are there from A to B assuming you can only travel South and East? A

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

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Q: If the area bounded by x^2 - y^2 = 3, y=2, and y=0 is revolved about x=0, Find the moment of inertia…

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Q: (a) Compute one iteration of the gradient descent algorithm for f(x, y) = (x - 2)² + (y + x)² +2…

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Q: Ox-e Ox-2-1 e +2 Use a graphing utility to obtain the graph of the explicit solution chosen above. X…

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Q: Solve the following ordinary differential equations: 4x dx dt d²x dt² dx dt - 3=0

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Q: Using Gauss elimination, compute the LU factorization of a 3 × 3 matrix:

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Q: Given: Find: 9. (f/g)(x) f(x)= x² + 10x + 25 h(x) = x² - 49 e(x) = 3x² + 25x 38 8. (fr)(x) g(x) = x…

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Q: Evaluate: 1 3 -2 24 45 3 1 1 10 1 05 5 -3 13 6 -2 2 9 4 5 13 2 369 5 -3 B 13 6 2 9 The matrices are…

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Q: Question 1 what is the integrating factor of 2 (y - 4x^2) dx + xdy = 0 (A) 2x^2 B) X^2 C) X D) 2x

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Q: Proposition 2. (Comparison Test for improper integrals) Let f(t) and g(t) be functions on the domain…

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Q: al let (xt) betopology space and BCY then B is closed in y iff there is closed set CinX st B-COY

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Q: What is the general solution of the   uyy=4x2u+yx2ex equation.

A: As per the question we are given a nonhomogeneous partial differential equation as : uyy = 4x2u +…

Q: On to the assignment: 1. Compute the mathematical quantity ei. [Hint: The imaginary number i can be…

A: Solution :- Given Expression written in the form of eθi and we knnw thateθi=cosθ+isinθHere θ=π

Q: Question 2 Prove the statement:: "For all integers n, if 3n+ 5 is odd, then n is even." (Hint: You…

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Q: Claire and Rana hire a venue for the wedding. The floor plan below shows the dimensions of the…

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Q: What is the slope of the line passing through ( 4, -8 ) and ( 0, -1)? Round to two decimal places…

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Q: C) Let (X. r) be a topological space and A c X. If S is a sub-basis for the topology T, then S,=…

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Q: How many ways. row if none ave there for n COUPICS to sit sit together. of the couples in a

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Q: Consider the function: y = A(z)kª - rk, where A(z) = e². Define x = lnx - Inx, where x € {k, y} and…

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

Q: Solve the ff. ordinary differential equa d²y dx² 1 dy x dx + y = 1

A: Here we have to solve the differential equation   d2ydx2-1xdydx+yx2=1 .

Q: 2. Assume that any distance of 100.00 m. can be taped with an error of ±0.02 m if a certain ing…

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Q: 1. The following formula relates the volume (V) and surface area (S) of a sphere. V(S) = (4m) + x 3…

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Q: 6. If the bisection method is used starting with the interval [1. 3], how many steps must be taken…

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Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

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Q: Prove that the original sequence sn converges.

A: Hint: A sequence is convergent if and only if every sub sequence of the sequence is convergent.

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Q: How can you check that your quotient is correct when dividing multi-diget decimals.

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Q: 4 (b) In the museum, some equipment is kept in a display cabinet. The cabinet is in the shape of a…

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Q: Find the line integral with respect to arc length Is (3x + 5y)ds, where C is the line segment in the…

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Q: Part B Using a similar design, Sonja created a design for a narrow quilt. Explain how a translation…

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Q: 1 (b) The mail bag for Amy's morning route weighs 9 66 The mail bag for her afternoon route weighs…

A: Sol:- The mail bag for Amy's morning route weigh =925=475=9.4The mail bag for Amy's afternoon route…

Q: Let set A = {1, 2, {2}, {{1}, 3}}. Which one of the following sets is a partition of the set A?

A: Given: The set is A=1,2,2,1,3. To find: The partition set of set A from the below options. (a)…

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Q: Theorem . Let T: X-Ybe a bounded linear transformation then, (i) x₂ →x⇒ TxTx, where x, x € X; (ii)…

A: Given: A bounded linear transformation T:X→Y . To Prove: (i) xn→x⇒Txn→Tx where xn,x∈X. (ii) The Null…

Q: Show me the steps of determine red and information is here step be step

A: Given: ∏t=05Ω-q+1t-q+1∏t=05Ω-q+1t-q=∑h=0∞∏k=17h1∏t=05Ωq+1k-q+1t-q+1…