1) Coirect Proo8) Fove that the produck of two whsecutive integers ís divisible by 2. 2. (indirect proot) Prove that if a and o ae buth positive, ard az <62 t

Q: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

A:

Q: 00 4 etermine whether the alternating series 2 (- 1)". converges or diverges. 9 Inn n= 2 hoose the…

A: We have to check whether given series is convergent or divergent.

Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

A: Newton's Raphson method

Q: what is the fuzzy subset ? And give examples

A:

Q: lef P P, EPP,2P, then Theoremp How.

A:

Q: Question 5 Let a and b be positive real numbers and 6+ 1. Find a+6 if the exponential function f(x)…

A:

Q: V15 Integrate G(x,y,z) = z over the parabolic cylinder y =z“, 0sxs3, 0 sZS Write the integral…

A:

Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1+ x ) - 1. Use 5 %3D iterations of…

A: Given function is f(x)=sinx+cos(1+x2)-1 the graph of the function is From the graph we can see that…

Q: Solve the given differential equation by separation of variables. ds kS dr

A: We want to solve given differential equation

Q: Investor Matt has $830,000 to invest in a CD and a mutual fund.  The CD yields 3.3% and the mutual…

A:

Q: 9. Use the method of Laplace transform to solve the initial value problem y/" + B*y = (a² + 3?)eat,…

A:

Q: Q1: Al Rabie Housewares Company produces goods A, B and C and the profit of Each of the mentioned…

A:

Q: 0 0 16 11 1 1 1 1 %3D 11 1 1 1. Given the matrix A, find the determinant, adjoint and inverse.…

A:

Q: Example 3: Let B = {b, ,b,} and C ={c,,c,} be bases for R? with b, : 8. 1 1 c, = and c, (a) Find P…

A:

Q: x" – 6y' – 7x = 0 y" + x = 3 x(0) = x'(0) = y(0) = y'(0) = 0. %3D %3D

A:

Q: Find the area of the region specified in polar coordinates. the region enclosed by the curve r = 8…

A:

Q: Question 5 Let a and 6 be positive real numbers and b + 1. Find a + bif the exponential function…

A:

Q: Let V be a vector space, v, u E V, and let T1 :V → V and T2 : V → V be linear transformations such…

A:

Q: The solid S is bounded above by z = 4 and bounded below by the paraboloid z = x² + y?. Write and…

A:

Q: 45. Let {v, w} be an orthonormal basis for R², and let T: R2 → R² be the function defined by T(u) =…

A:

Q: x + x + 1, where E 1, 2]. The Consider the function f(x) domain of the inverse function f'(x) is O…

A:

Q: c) n° n° + 2n is a multiple 3 for all n 2 1.

A:

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=x°i-…

A:

Q: what is the maximum size of matching? And give examples

A:

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

A: Given:f(t) = 2.5(1.007)t

Q: Evaluate fe y dx + 3rydy where C is the counter clockwise oriented curve given by the upper half of…

A: Green's theorem evaluation of the integral

Q: The curve with polar equation 24 3 cos 0 +4 sin 0 = is a line. Find the slope and the y-intercept of…

A: Given- The curve with polar equation 3cosθ+ 4sinθ = 24r is a line. To find- Find the slope and…

Q: an 64a,-2 for n > 2 with the initial condition ao :-16, a1 -96. an I| ||

A:

Q: How to prove that the function h(y)= sum_{m+1} ^infinity (m+y)/(m^2+y^2) converges to a continuous…

A: We are given a series given as, hy=∑m+1αm+ym2+y2 We need to show that the above series is…

Q: sinx 4 COS x cos*. COS x

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: Faith is decorating the outside of a box in the shape of a right rectangular prism. The figure below…

A: The surface area of a solid object is a measure of the total area that the surface of the object…

Q: 32. Determine whether the given relation is reflexive, symmetric, transitive, or none of these. D is…

A:

Q: what is the closed neighborhood ? And give examples

A:

Q: In this problem, y c, cos(4x) + c, sin(4x) Is a two-parameter family of solutions of the…

A:

Q: Question 10 If 2x + 4x2 + 8x³+... then X equals O-7 07 7/- 1/7

A:

Q: Question 11 of 25 Write the standard form of an equation of an ellipse subject to the given…

A:

Q: Q3/ solve Partial Differential Equation a?u 1- дхду ey cos x

A: Integrate partially.

Q: 2n if m = 0 O if m > 1 and n = 0 2 if m > 1 and n = 1 A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т,…

A:

Q: Problem 9. Construct a linear fractional transformation that maps –1, i, 0 to oo, 0, -i,…

A:

Q: For 7x - 4y-11=0, (a) Write the equation of the hyperbola in standard form. (b) Identify the center,…

A:

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: Given: We have given integralI=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: L3x3 + M (subspace sum). sym 3×3 !! L3x3 O M (direct sum). sym 3×3 !! express A E M3x3 as A = L+U…

A:

Q: equation of an ellipse is given. Identify the center of the ellipse. (b) Identify the verti Identify…

A: Introduction:The standard form of the vertical ellipse is given by, x-h2a2+y-k2b2=1 Where h,k  is…

Q: Classity the quadratic form below. Then make a change of variable, x= Py, that transforms the…

A:

Q: y = c,e* + cze*, (-00, 00); y" – y = 0, y(0) = 0, y'(0) = 1

A: Solution

Q: 7. Let V = R3 with B = {(1, 0, 1),(0, 2, 1),(2, 1, O)} and W = P2 with D = {1, x, x- %3D %3D (a)…

A:

Q: Question 19 If f(x) = e2 – 1 and g(x) = In va +1 for x > -1, then (g o f)(4) equals OIn Ve4 + 1 4…

A:

Q: in fuzzy graph theory what is the CONN And give examples

A:

Q: what is the minimum size of edge cover ? And give examples

A:

Q: Question 7. Using induction prove that 13 + 23 +... + n³ = + u)u for n > 1.

A: