Simplify the following expressions by hand and show your work: 23^421 mod 31 57^2024! mod 43 823!^84 mod 59

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Q: Find a general solution of the system x' (t) = Ax(t) for the given matrix A. A = 15-20-20-3 7 5 13…

A: Given system of differential equation  is x'(t) = Ax(t) where the matrix A is ,           A = 15-20…

Q: Let G be an abelian group of order 9. Prove   that G is either cyclic or is isomorphic to a  direct…

A: Let G be an abelian group of order 9, so we have to prove that G is either cyclic or is isomorphic…

Q: h 13. F(x, y, z)=-yi+xj-2k, be S is the cone z² = x² + y²,0 ≤ z ≤ 4, oriented downward

A: According to guidelines we can do only first question thank you. please repost 2nd question  We have…

Q: 5. Find the inverse of f(x)-3x+2 and verify your answer graphically.

A: (5)   Given function is  fx = 3x + 2                      Let  fx = y   ⇔     f-1y = x…

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Q: Sketch a graph of the function sin(x + 45°) - 6. Please state the rang

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Q: (c) Compute of using the Chain Rule. of df дх дf ду + дл дх дя ду дя (Use symbolic notation and…

A: Chain Rule ∂f∂s=∂f∂x∂x∂s+∂f∂y∂y∂s+∂f∂z∂z∂s We have  fx,y,z=x3y5+z4x=s4, y=st2 and z=s4t

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Q: 3 4) f(2)=2²³ +2² (xtiy)² + 2i 3 x²y³²x³²+(y) ³+ 3x² (13) +3[iy)² x + 2i (x² iy²³ + 3x²iy (3y²x + Zi…

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Q: Eliza spun a spinner with three coloured sections 20 times and recorded some of her results in the…

A: We have to find the  a) How many times did the spinner land on white?   b) Eliza spins the spinner…

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Q: Integral (2)) f(2) = 1 6-7 12=0 (황 ㅎ (2)", 6 6 h=o 도 X=0 Szn n=0 6 htl 4- 66 (층) 러시.. 121<6 17 구슬(…

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Q: Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 1 + 2x² +…

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Q: Let f(x, y, z) = x³y5 + z4 and x = (a) Calculate the primary derivatives of, of of дх' ду'dz' (Use…

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Q: Find a basis for the null space of 1-1 3 3 2

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Q: Q5. Express the vector w = (1,0, −7) as a linear combination of the vectors v1=(5, 3, 4) and v2=(3,…

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Q: Let f(x, y, z) = x³y² + z² and x = s4, y = st², and z = st.

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Q: Find the solution to the given system that satisfies the given initial condition. x' (t) = -6 -1 17…

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Q: The Laplace transform of fr-cos(t-1)dt is Select the correct answer O a. O b. O C. O d. O e. 2…

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A: Given that the first three terms of a sequence i.e.…

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Q: Cramer's rule to solve for 22 in the system of equations Hz = C -12 -3 11 = c whe lly, verify this…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Determine the vertex chromatic number of the graph.

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Q: Problem 11: Does the graph have a Hamilton Circuit? If yes state what it is, otherwise profe it…

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Q: Find all abelian groups (upto isomorphism)  of order 67

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Q: Advanced Math Question

A: A null space is the solution set of the general linear system is known as the null space of the…

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Q: 3. Let g(x)=1 x-5 Find the inverse of g(x) and verify your answer. Also find the domain and range of…

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Q: The partial sum 1+5+9+ + 141 equals

A: The partial sum 1 + 5 + 9 +......…...+141 equals

Q: Please show full work, How many ternary ( 0,1,2) sequences of length 10 are there without any pair…

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Q: (Sequences (an).) We say a sequence (an) is eventually in a set A if there exists a natural number…

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Q: 6. (a) Let T: V → V be a self-adjoint linear operator on a finite-dimensional real inner product…

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Q: = How many different 6-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can…

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Q: Consider a quadratic of the form Q(x) = ax + bx² + cx² + dx₁x2

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Q: The function y = log4x-3 is O a) translated left 3 units Ob) translated right 3 units c) compressed…

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Q: 4. Find the inverse of f(x)= the inverse function. 5. Find the inverse of f(x)=3x+2 and verify your…

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Q: Find the Maclaurin series expansion of the function f(z) = e² In the region represented by the z…

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