show that fE Riemann [o,!] and Find f de

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the |…

A:

Q: 2. 1.89 VRMS, 1 VAVE,

A: Sol

Q: Find F(2). 5sinh (3t) + 4cosh (3t) round off to 1 decimal place. Answer: -4.6

A:

Q: 3. Use Secant Method to determine the root of f(x) = Sin (V x ) - x where x > 0. Use up to 8…

A: Sol

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: The slope of the surface z=f(x, y) at x0, y0 in the x-direction is fxx0, y0. The slope of the…

Q: 1. This is the central value or average of the probability mass function of a discrete random…

A: 1) the central value or average of the probability mass function of a discrete random variable…

Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: Introduction: Arithmetic sequence and geometric sequence are two important sequences in mathematics.…

Q: (x-2)2 – In x = 0, [1,2]

A: Sol

Q: Find the following inverse laplace For simplification, you can use x = 22

A: Given that,Fs=xssx-s-xThe given value of x is 2Substituting x=2 in the given function, we…

Q: f(x) = (x-3)(x+1) (x-2)(x+2)(x+1) %3D

A:

Q: x3 – 2x2 – 5 = 0, [1,4]

A: Sol

Q: Based on last week's sales, a store manager concluded that by pricing the store's pack of 12 donuts…

A: Graphically, the linear function representing the relationship between an independent variable let's…

Q: . Let X be the graph of f(x) = x2/3 given below %3D that is, X is the subset of R x R satisfying the…

A: Sol

Q: 1 3 313 30 2 2 1 1 201 2 0 11 3 6 0 2 1 4 2 3 2 10 2 4 2 1 1 1 1

A: Sol

Q: minimize f1(x) = 5x1 – x2, f2(x) = x1 + 4.x2]| subject to -51+ 2x2 3 Xi + 2x2 > 4 X1, X2 > 0…

A:

Q: Q2) Find the optimal solution using simplex method Max z = 8x, + 10x, + 7x3 s.t: 4x, + 6x2 + 3x3 5…

A: The problem is max z=8x1+10x2+7x3 subject to 4x1+6x2+3x3≤607x1+2x2+5x3≤406x1+6x2+9x3≤36…

Q: A cubical box has one of its edge equal to 4cm. Pass a plane to the cube so that the section form…

A:

Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

A:

Q: 1 (x-1)(2x3+2x2+3x+2) 1. x3 (x+1)

A:

Q: II. Solve each equation by completing the square: 4. x2 + 12x – 2 = 0 5. x(x – 1) = 30 6. 2y? + 7y –…

A: Solving Quadratic Equations usingCompleting the Square we follow the step given below : 1. Divide…

Q: Determine the exponential function given the graph. A y (0, –1) (-1, –5) F(x) = (5) " A - 2 B f(x) =…

A:

Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim f (x)= 21 b) lim x-x+1=-5 x3 c) limx =8 x→2

A:

Q: Find the angle a, in radians, between the vectors -5 and 3

A: Use the formula of angle between the vectors to solve the question.

Q: arctan (k) Σ k4 Use inequalities to compare the series to constant multiples k - 1 7.

A: This is a problem of series.

Q: Given that A = (0,5), B = [- 3,1] and C = [0,0). Graph the number line and solve the following: (i)…

A: The given intervals are A=0, 5, B=-3, 1 and C=[0, ∞). We have to sketch the graph of the number line…

Q: Find L{f(t)} by first using a trigonometric identity. (Write your answer as a function of s.) f(t) =…

A:

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z 12

A: The solid is bounded by the triangle and the planes x=0,y=0, z=0

Q: Evaluate the double integral. /1 52(1+ y*) dA; R is the region in the first quadrant enclosed by y =…

A: Double integration by strip method

Q: 6. ints) Let V be a vector space of dimension n and W a vector space of dimension m. Let L: V- W be…

A:

Q: 1. Use the algorithm for sketching rational functions to sketch the following curves. (x-3)(x+1)…

A:

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z= 2x + y Subject to: 2x +…

A:

Q: ly manufactur nk for the exp- greed that she

A:

Q: QUESTION THREE (a) Find x and y given that GOG) = G) %3D (b) Determine x, y and z if (3,–1,2) =…

A:

Q: QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5…

A:

Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2xsin(x2)…

A: 1. The product rule for differentiation states that ddx[f(x)·g(x)]=g(x)f'(x)+f(x)g'(x), where f(x)…

Q: Let B = as a subset of R. (a) Show B is a basis for R. (b) Find the change of coordinates matrix P.…

A:

Q: 4. Evaluate the iterated integral: E dydr. 1/4

A: Double integral

Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

A:

Q: Find the Laplace Transform of 10 + 5t + t2 - 4t3 10 5 2 24 A s2 10 5 B) 10s + 5s2+ 2s3 – 24s4 2 5…

A:

Q: Ans: 2x(x- a)y' = y(3x- 2a) 7. The cubics cy² = x² (x – a) with a held fixed.

A:

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z= 2x +y Subject to: 2x + y56…

A:

Q: x3 – 2x2 – 5 = 0, [1,4]

A: With the help of bisection method we find the root of the equation.  In this method we find a…

Q: 3.) What is the Relative Absolute Error for y at x = 1.5 if the Euler's Method is applied with step…

A: Sol

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

A:

Q: 1 Question #9) dx x2 + 2x + 10 1 Question #10) x3 – x² – x – 15

A: 9. Given integral isI=∫-∞∞1x2+2x+10dxThe integral is evalauted using Cauchy Residue Theory as shown…

Q: Let v be a vector in R" and define a function T, : R" → R by T,(x) = x v. (a) Show that T, is a…

A: here we can use simple conditions that if a linear function preserve scalar multiplication and…

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

A:

Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t € R. Given…

A: Sol

Q: nd the absolute extrema of the function f(r, y) = ry-I - 3y on the triangular region th vertices…

A:

Q: For Item # 8- 10: The function f (t) = t + 4t- 5 shows the number of pieces produced by a…

A: