1. Σ 4n2 in 8n +3

Q: please answer now

A:

Q: 3. Explain why if u and v are perpendicular, u x v = uv.

A: We have to show that u×v=uv. When u and v are perpendicular to each other.

Q: A tank contains 100 kg of salt and 2000 L of water. A solution of a concentration 0.025 kg of salt p...

A:

Q: 2. (s-s²-t²)ds + (t + s² +t?)dt = 0

A: Given differential equation is (s - s2 - t2 ) ds + ( t +  s2 + t2) dt = 0s ds + t dt  + ( s2 + t2 ) ...

Q: Let G be the simple graph on the set V(G) = {p € N : p is prime, p = 1 mod 4, and p < 100} where uv ...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (w? – z? – 4z – 1))dw + 2w(z + w + 2) dz = 0

A:

Q: Let G, H, and K be groups. Show that (G x H) × K = G × (H × K). Hint: An element of (G × H) × K will...

A:

Q: Determine x so that (4x), (5x+4), (3x^2 -1) will be an arithmetic progression. Show complete solutio...

A: We know that in an arithmetic progression the common difference between two consecutive terms is the...

Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

A:

Q: Q: Use Newton-Raphson method to solve the system x³ + y2 – 1 = 0 y3 – x2 +1 = 0 - with the starting ...

A:

Q: Show that I1fll= 1 forthe functional of 7be aLineur funct i'onal on X de fined by fcx)=

A:

Q: b) (20? + 4u?v)du + (4uv + Зи3)dv — 0

A: We have to solve the given differential equations.

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

A:

Q: Solve for the differential equation: (2y^2+4yx^2)dx+(4xy+3x^3)dy=0

A:

Q: Problem Set B  Please assist with number 1 (A) (i) and (ii) (1)   (a) Solve the following:      ...

A:

Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3 usin...

A: We use Newton's Divided Difference Interpolation Formula.  x             x0            x1           ...

Q: 2p a) n! = 2 (mod p), where for 0 <k < n. %3D k!(n - k)!

A: To prove the given part (a) 2pp≡2mod p where nk=n!k!n-k! for 0≤k≤n  

Q: 2. A cylindrical tank with a diameter of 225 cm. contains alcohol with a density of 0.791 g/cm. The ...

A: Given: A cylindrical tankDiameter = 225 cmRadius = 2252=112.5 cmHeight = 0.9 m=9 cm          [Since ...

Q: *Use the equation to determine the rental revenue for a theater revenus of 125 million.

A: To determine the given equation of the line and to determine the rental revenue for theater revenue ...

Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"...

A:

Q: Determine the Integrating Factors of the following differential equations a.) (x2 + y2 + 1)dx- (xy ...

A: We determine the Integrating Factor of the given differential equation   (x2 + y2 + 1)dx- (xy +y)dy ...

Q: Find the length of the given curve: r(t) = (-3t, -3 sint,-3 cos t) where-3 sts 5.

A:

Q: 1. (w? – z? – 4z – 1))dw + 2w(z + w + 2) dz = 0

A:

Q: {(a, b) | a < b, 2<a<5, 2<bs5}

A:

Q: Find the 42nd derivative of the function y = sin(x). Give reason for choosing yours answer,

A: Derivatives of function

Q: Question 3 Find the value of x6 in 3 decimal places (positive root) using Secant Method (6th Iterati...

A: Solution: Given function f(x) = x^2 -x -1

Q: A small funnel in the shape of a cone is being emptied of fluid at the rate of 13 cubic centimeters ...

A:

Q: Use the Maclaurin series for sin(x) to compute 3 sin(3°) correct to five decimal places. 3 sin(3°) =...

A:

Q: 1. Consider the function below. f(x) = -4x2 + 8x + 1 (a) Find the critical numbers of f. (Enter your...

A:

Q: 1. The angles between the axes in two coordinate systems are given in the table below 135° 60° 120° ...

A: Transformation matrix is given by T=cos135°cos60°cos120°cos90°cos45°cos45°cos45°cos60°cos120° simpli...

Q: Question 7 Find the value of x6 in 3 decimal places (positive value) using Newton-Raphson Method (6t...

A: Since you have not given any initial value so I have solve on random value

Q: Assuming the base b> 1, an exponential function of the form a-b has a domain of [ Select | in which ...

A:

Q: 1. Use the function g(x) = 2x2-4x %3D x2-9 a. Use a calculator to graph g(x). Make sure you have a w...

A: Introduction: The asymptote is a straight line that is intersected by a curve at infinity. There are...

Q: (w² – z2 – 4z – 1))dw + 2w(z + w + 2) dz = 0

A:

Q: Evaluate e*cos(x)dx using integration by parts

A: Solution

Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

A:

Q: 3. Determine whether the given series is convergent or divergent. +00 5" + sin? n (a) Σ 3n - |sin n|...

A: Series and sequences

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4)

A: Equation of the tangent line

Q: Let f = x? + y² + z² be a zero-form on R. Suppose that P and P2 are two distinct points on a sphere ...

A:

Q: Instruction: Answer the following question. х3 — 5х2 + 7х — 2 lim | x→2 х — 2 > Indicate if the limi...

A: We have to find the limit of function.

Q: A rectangle of maximum perimeter is to be inscibed in the ellipse x^2/21^2 + y^2/11^2 = 1. The recta...

A:

Q: -2 -: 1. A = 2 -4 4

A:

Q: Theorem 3.7. Let {fn} be a sequence of real-valued (or complex-valued) function on a X. Then, fn 3ƒ ...

A:

Q: Solve te following DE using laplace trancform - 3X ty =e cos2x when ylo) = 0 %1

A:

Q: Use the formula to compute In(1.11) correct to five decimal places. In(1 - x) = - n= 1 In(1.11) =

A:

Q: (s-s?- t?)ds + (t + s² +t ?)dt = 0

A:

Q: (3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narro...

A: Given:The width of the bottom rung is 49 inchesThe width of the top rung is 19 inches.Also, each run...

Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"...

A:

Q: Let W be the set of all vectors of the form 5t – (3r + 5s) 3r + 2t 5s – r +t r – 3s with r, s and t ...

A: