QUESTION 2 Let g(x,y,2) = xyz? - ysinx Find vg(n,1, - 2)- Oa (3,4n, - 4 r) Ob3 OC (5,4n, - 4n Od.5. O e. None of the other choices.

Q: If P(n, 4) = 5P(n, 3) then n = %3D Select one:

A: Given we have P(n, 4) = 5P(n, 3) we have to find the value of n we know that P(n, a) = n!(n-a)! usin...

Q: (f) Let A, B and C be three sets. Prove by contradiction that if An BC C and r E B, then x ¢ A - C.

A:

Q: P44 If the 3rd term of a geometric progression is 36 and the 6th term is 288, then find the 13th ter...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: dy Solve dx y tan x = esin x

A:

Q: Let x E Q'. Show that for any n EN, there exists Xn E Q such that |x- Xal <

A: Given x∈ℚ', that x is a fixed irrational number. We know that between any two real  number, there ex...

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

A:

Q: [1 2 3] If Ax = b where A = 1 1 2, find x if Lo 1 2.

A: Using matrix notation a system of equations can be expressed in the form Ax=B. In this problem the m...

Q: °+a° - 0 36 2.

A: Simplify the given quadratic equation.

Q: The graph as shown below is characterized by the given equation: S2 0<t<1 æ(t) = 10 1<t<5 where T = ...

A:

Q: Least residue of 45^37 mod 19 when using Fermats Little Theorem

A:

Q: 3 50 X+60

A: One full rotation around a point form a complete angle 360  Acute angle the angle measure less than ...

Q: Determine whether the series converges. Σ V2k – 1 O The series converges. O The series diverges.

A: Solution: ∑k=1∞12k-13 Definition: If there exists N ≥k so that for all n≥N,f(n)=an is positive, cont...

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

A:

Q: If r+1| < 6, prove |r3 +1|< 76

A:

Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at...

A:

Q: 4m, Figure 5.134 Triangular prism Find the volumes of these solids. 3cm 4 m (a cm 4pm 4 m 3cm 6cm 4 ...

A: Volume is a space occupied by a closed surface. It is measured in terms of the number of unit circle...

Q: Use the forward difference formula to approximate the first derivative of f (x) = In x at x= 1.8 usi...

A: Given that  fx=lnx To use the forward difference method to approximate the above function at x=1.8 a...

Q: Find three consecutive odd integers whose sum is 561.

A:

Q: What is the relative error in estimating the first derivative of f (x) = 25x - 6x? + 7x -88 at x-2, ...

A:

Q: Consider a forced, undamped spring-mass system whose displacement is modelled by the ODE 4 x(t)" + 2...

A:

Q: (a) Let U be the set of the total number of students at a school, A be the set of students who play ...

A:

Q: Suppose A is an n × n matrix. Select "yes" if the statement is always true, "no" if the statement is...

A:

Q: FIND X on A ai a5. Y 529 +. В Simse i 4 A oloum boura y s W

A:

Q: What is an equation?

A: In mathematics, there are many different terms used. Some of the basic terms are coefficient, variab...

Q: 4. Simplify the following: Note : m=5 n=3 x" Vy4 z² (x³ y6)0 x³ y-2, (x³ y4 z=7)(m+4) x yz

A: Solution

Q: 3 3 fx J,cx) dx = (x-4x)J, CX) +2x J,cx)+c (x-4x)J, CX) +2x JoCX) +c

A:

Q: Evaluate the following and detemine if the sequence {a,} converges or diverges 5n2 + 9n 11 12n an 2n...

A: limn→∞an=limn→∞12n3-5n2+9n-112n3-3n2+7n+5=limn→∞n312-5n+9n2-11n3n32-3n+7n2+5n3=122=6

Q: 21 Care must be taken when the solution of a DE involves inverse functions. Solutions may be inadver...

A: Question (a) and (d) asked only.

Q: o (n) t (n), for n= 4568 68662 68660 68640 68642

A:

Q: (a) Let U be the set of the total number of students at a school, A be the set of students who play ...

A:

Q: 1 -1 1 3. Given A = 1 -1 1 1 Lo 1 -1. a) Find A-1. b) Write the corresponding elementary matrix for ...

A: (a) we have given the matrix A = 110001-111-111010-1 we have to find the A-1 Now by using elementary...

Q: convert to polar form: 3.6 x 10^-6 cos(754t-20°)

A:

Q: 3. Verify Euler's formula for the plane graphs shown below. B (a) (b)

A:

Q: uso a.) y – y = ty², y(0) = 1

A: We have to find the solution of differential equation.

Q: SOLVE THE FOLLOWING COMPLETELY. 1. Given the vector field G = 2x²y ax-2(z-x) a, + 3xyz az, find: a. ...

A: As per our company guidelines, we can solve first three multi-parts. If you want other parts to be s...

Q: Given the following set of discrete data in Table 2. Table 2 0.2 0.3 0.4 0.5 0.6 0.7 f(x) 1.0832 1.1...

A: Introduction: The central difference approximation is a better way to approximate the derivative of ...

Q: P6.7 Simplify the following Boolean expression using Boolean algebra laws: [Y +(XY)]'+X

A: We will just use the basic knowledge of Boolean algebra laws to simplify this expression and prove o...

Q: 2. /1+ cos² x dx dy = ? Isin¬' y -2/2 1 (a) 3 3 2/2 (b) 3 3 -2/2 (c) 1 3 3 2/2 (d) 1 3 3 V2 1 (e) + ...

A: Given is multiple definite integral.

Q: very bipar

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1and V2 such that...

Q: Assume the interest rate is compounded annually. a. Assume the interest rate is compounded continuou...

A: Solution :-

Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

A:

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

A: This is a problem of Numerical Analysis.

Q: p: No weasels are wolverines. q: All wolverines are cuddly. Therefore, no weasels are cuddly. O Cann...

A:

Q: Given y = , y (0) = 1, h = 0.5. Find y (2) using the fourth-order RK

A:

Q: Show all work! Find the maximum, minimum, and saddle point of f(x,y) = cos(x)+ (1/y^2 + 1/x)+1

A: We will use the basic knowledge of 2-variable calculus to answer this question.

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: To find- Find Solution using Newton's Divided Difference Interpolation x = 301?

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: 1. х — е e

A:

Q: 3. [(3t +r*)sin (21)dt /

A:

Q: Calculade the Pomer Seriee af na o y'=

A: The given differential equation is 2-xy''+xy'+y=0. Let y=∑n=0∞anxn. Then, y'=∑n=1∞nanxn-1 y''=∑n=2∞n...