y' = sec³x + y tanx

Q: Let 7 and σ be elements of S5 such that: o(1) 2,0 (2) = 1, 0(3) = 4,0 (4) = 5,0 (5) = 3; o(1) = 5,0…

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Q: Find lim inf an and lim sup an for the sequence {an} defined by n→∞ n→x an = COS 2πη 9

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Q: 5. ди at = 22u ?х2 + u with u(0, t) = u(1, t) = 0

A: with initial conditionu(0,t)=u(1,t)=0,  0<x<1 and t>0Given partial differential equation is…

Q: em of differential e =t^2 + 1

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Q: Use Divergence theorem to evaluate ff, F. dA, where S is the surface of the region bounded by the…

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Q: Consider the following equation Which of the following is the NOT correct answer for the given…

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Q: For the Big-M tableau (of a minimization LP and row0 at bottom), 0 0 #1 X2 x3 $1 e2 1.4 0.5 -1 1 0…

A: The Simplex algorithm can be performed on the Big M table as follows. First, we identify the pivot…

Q: 5. (a) Verify that a cubic function z= ax³ + bx² + cx+d is in general neither quasicon- cave nor…

A: Cubic function : Range :

Q: Use the transforms in Fig. 4.1.2 to find the Laplace transforms of the functions. A preliminary…

A: Solution:Given function: we have to find the Laplace transform of the given function

Q: 3 Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y)…

A: We have to find quadratic and cubic approximation using taylor's formula.

Q: Problem 5 Show that am +1 is composite if a and m are integers greater than 1, and m is odd. Hint:…

A: are integers greater than 1.

Q: Evaluate f sin x dx + 3xy² dy, where C is a triangular path from (0,0) to (2,1) to (0,1) to (0,0).

A:

Q: Find the limit lim (2.5) (0,0) 5x² + 5y² 2²+3² +16 (√2²

A: Given: Objective: To find the limit.

Q: Consider a single block three-dimensional mesh of N₁ × N¡ × N₁ cells, which is then split into NB…

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Q: if Find the Fourier transform of f(x) = {xe-² otherwise -1<x<0 {xe-2x, 0,

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Q: The DNA molecule comes in the form of a double helix, meaning two helices that wrap around one…

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Q: Linear Transformations: the following ask you to work with the two defining properties of linear…

A: A transformation T:V to W is said to be linear if for all u,v in V and k is a scalar,  then (1)…

Q: Compute the length of the curve r(t) = (4t² + 8, 61²-5, 1³) over the interval 0 ≤ ≤ 2. (Use decimal…

A:

Q: 2.15. (a) Prove that GL2 (Fp) is a group. (b) Show that GL2 (Fp) is a noncommutative group for every…

A: And

Q: Find an orthogonal basis for the subspace Span (1, 1 + x, 1 + x²) ≤ P3. Justify your answer!

A: Using the Gram Schmidt orthogonalisation process:

Q: 10. A = 10 -9 4-2 ,λ = 4

A: The matrix and the eigenvalue

Q: angle 7.23. Find the matrix that has the effect of rotating every vector in R² by an angle of…

A:

Q: 8) A system with a 20X + (1000 + 23 * 31)x = F(t) differential equation is subjected to a force as…

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Q: How many 7 letter words can be made from the letters WASTFUL if repetition of letters is allowed?

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Q: Income The expenses and income of an individual are given in table form to the right. Find the net…

A: Total income=/month.

Q: f(x) = 5 In(x) e-² 1+x² f(1.05)= 0.009834065665 f'(1.05) = 0.2083153204 ƒ"(1.05) = 0.4190655947 Find…

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Q: solve dx dt. (1 = 72 X -2 7 with X (0) = 3 L2

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Q: Kristin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for one full…

A: Kristin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for one full…

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: (Un)determined Coefficients: Find the general solution to the following differential equations. Be…

A: Let the differential equation be:  , where P,Q,R are either functions of  or constants.Step 1:…

Q: A textbook store sold a total of 319 chemistry and history books in one week. The number of history…

A: Total number of booksThe number of history books sold is 41 less than the number of chemistry books…

Q: Find the volume of the solid cut from the cylinder x² + y² = = 16 by the planes z = 0 and x + z =…

A: We have to find the volume of the cylinder  by the planes  and

Q: I would appreciate your assistance in solving this problem using matrix notation exclusively. I'm…

A: From the given information, sketch the unit vectors after rotation π/6 .

Q: Let f(t)=e^(-2t) and g(t)=1-e^(-t). Which of the following represents the convolution of the…

A:

Q: Which of the following a) y'= 1 2 X 1 b) y' = = y² + x 1 1 c) y' = = y³ +; X X 1 1 y' ==y² +=y" x X…

A: Reccati's equation is given by:Out of the four differential equations provided, the second equation,…

Q: a) Use the map to estimate the lengths of the sides that form the triangle of the Marysburgh Vortex.…

A:

Q: Find two numbers whose sum is 30 and the difference is 19 Find the smallest of the numbers Note:…

A: The sum of two numbers is  and the difference is .We have to find the smallest of the numbers.

Q: The next proposition provides a more general example of a linear functional on R". Proposition 1.2.…

A: As per the guideline I’m supposed to solve only first question from the given problems.

Q: Question 6: Let V be a vector space over R, and let T: V→ R4 be a linear map. Suppose 01, 02, 03, 04…

A:

Q: (a) Evaluate the divergence and curl of the fluid velocity field (sin(xz), y,₁x¹-yz²). x= sin (b)…

A:

Q: ue of Estimate the numerical value 10 sin (5x+1) dx integral with the 4 part trapezoidal rule.…

A: Formula:

Q: Given the general model of the parabola y=ax²+bx+c Find the equation of the parabola that passes…

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y'' - 4y' + 8y = 20e¹,…

A: Given Differential equation is Now we need to apply the laplace transformation on both sidesalso, we…

Q: Question 5 Y Evaluate the limit, and show your answer to 4 decimals if necessary. Tz² - y²z lim…

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Q: Find the integral if E is the solid enclosed by the surfaces z = 0 and z = 5 + 2y, whose projection…

A: Sketch the solid E and the projection on xy-plane R is shown in figure:in

Q: Identify the surface. O hyperboloid of one sheet O ellipsoid hyperbolic paraboloid O hyperboloid of…

A: As per the question we are given the graph of a 3d quadratic form and by analysing the graph we have…

Q: Show whether the general solution of the partial differential equation Uxx + Uyy = 0 is u=sin(x −…

A: The given equation  is  Suppose  that    is  a  solution of the  given  partial differential…

Q: Find the sum of maximum and minimum values of the function f(x, y, z) = 6x + 12y + 18% on the elipse…

A: subjected  to constrain

Q: Suppose that one factory inputs its goods from two different plants, A and B, with different costs,…

A: Price function,

Q: 17. Two lines L₁ : x=3+2t, y=4-t, z = 1+ 3t and L₂ : x = 1 + 4s, y = 3-2s, z = 4 + 5s. (a) Determine…

A: Given lines