du dt =

Q: One of the following statements is true: A) Archimedean property say that if y > 0, x € R, then…

A: We need to identify which of the following statement is True. (A) Archimedean property says that if…

Q: 3. Consider the probability density function of a continuous random variable X f(x) = { − ³x + 1≤x≤4…

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Q: Let B Let v = x1 || 2 {]-G]} 3 13 15 then 8 0 be a basis for the subspace H. X1 where " x2 X2

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Q: I. Simplify. Write "undefined" for expressions that are undefined. 1 -6 4.) 0 + 4 3 55 3

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Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: 6.The least positive residue or remainder of 12^20 (mod 25)  a.8 b.6 c.4 d.2 9.Which pairs of…

A: These question from number theory's topic congurence ,gcd and lcm

Q: please answer the same way above the former one. j) When is the particle speeding up? k) When is…

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Q: In a vector space V, prove that Ov=0 for all v € V. Let u = (1, 2, -1), v = (6,4,2) € R³. 5.1 Write…

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Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

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Q: Find the determinant using elementary row operations

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Q: Q2) Find the complementary (homogeneous) solution of y"" - y = f(t). Determine the particular…

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Q: Find the general and Singular Solution of the Following differential equation x² = 1 + P²

A: Given differential equation  x2=1+p2 Then  x=1+p2 Differentiating with respect to p ,we get…

Q: the approximate value of A) -2.413 X 2=4- N (x-y+z)ds is: C y+z=6 y

A: Solution :-

Q: of a certain tumour weight (in

A: Let us assume x and y be the tumour weights of the existing and new treatment respectively.…

Q: b) We are interested in the oscillatory solution given by If the boundary conditions are Identify…

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Q: Graph the solution to this system of inequalities. y ≤x+4 y2 = x + 2 y 20

A: Given the system of the inequalities, y≤x+4y≥12x+2y≥0

Q: 24. Given the linear congruence (16x is congruent to 72 mod 24.) How many possible incongruent…

A: 24. To find the number of incongruent solutions of16x≡72mod 24

Q: Find the convergence radius and convergence interval of the next series 14. Σ (-2)" √n (x+3)" n = 1

A: Problem is solved using concept of convergence.

Q: a. 3. What is

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: The 3 x 3 symmetric matrix A has eigenvalues 6, 3 and 2. The eigenvectors corresponding to the…

A: Problem is solved using concept of eigen values and eigen vector.

Q: Given the properties of the natural numbers N and integers N (i) m, n € Z ⇒ m+n,m-n, mn € Z (ii) If…

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Q: 4. A circle is divided into 10 equal parts to form a spinner. It is numbered as shown in the figure.…

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Q: The periodic function 7(x) obeys T(x+2) = T(x) and T(z) = >={¹,₂ -1 Its Fourier transform is given…

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Q: 4. Solve the system by using the matrix exponential 1 480 x' = 0 1 -2 -5 -4

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Q: Find the general and Singular Solution of the following differential equation P³(x+2y)+3 P² (x+y)+…

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Q: Solve the system of equations below both GRAPHICALLY and ANALYT- ICALLY. If the system has no…

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Q: Given Statement (MC) (~D~K) Which of the following can be derived from the given statement using…

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Q: 22. Which of the following integers are the possible one's digits of a fourth power of any 0, 1, 5…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Express the following propositions in symbols, where p,,r and s are as follow: p: Neil is a big…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x…

A: Solving the differential equation below

Q: Sketch the solid whose volume is given by the following integral and evaluate the integral. S/2/4…

A: Note : φ= constant  , represents a cone  and ρ= constant  , represents a sphere .

Q: Question Let Foo = Sinx and gox) = cos x and W=span[f,g] 1. Use the Wronskian to show that I and g…

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Q: 2. Suppose that z is a function of a and y, and F(x2 - y2, xy - 2², yz - 2²) = 0. Calculate and…

A: Solution :

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: II. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y²…

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Q: Prove by Mathematical Induction that: 192^3+2364+ ...+n[n+1)(n+2) = n(n+1)(n+ 2){n+3)/4

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Q: 7. Study the Venn diagram below and then answer the following questions: 15 11 B A 12 9 4 13 8 3…

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Q: Prove using Mathematical Induction that: The sum of the squares of the first n positive integers is…

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Q: 11. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y²…

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Q: s(s² +95+19) B) Determine the response of the following closed loop transfer function for unit step…

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Q: . Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24…

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Q: - 4. Let C = C₁ U C₂, where C₁ is the semicircle x = √√4y – y² traced from (0,4) to (0,0) while is…

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Q: Solve the partial differential equation: ² + ( 2 )² = 3 P u

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Q: the answer that was given was y(t)=Ce^-t + Dte^-t +3t^2e^-t but its wrong I'm looking for the error…

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Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3 5x+3x²+5x+6 X * +3 25x²-9

A: We need to write 5x+3x+3×x2+5x+625x2-9 in its simplest form First we will do the factorization of…

Q: Derive in detail the trapezoidal rule for definite integral f(x) dx = bª[f(a) + f(b)] - (b-a)" f"…

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1 - y² — x² and the…

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Q: Using the inclusion-exclusion principle, find the number of integers from a set of 1-100 that are…

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Q: 10) Consider the piecewise smooth curve C=C1 U C2 U C3 U C4, oriented from point A (0, 1, 4) to…

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