The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) infinity of solutions b) 8 c) 16 d) 0 Please write the complete solution with explanations not only check the right option, thanks in advance.

Q: 7. The current gasoline price is $3.50 per gallon, and it is projected to increase next year by 4%, ...

A: Inflation : - can be termed as the general rise in prices of all goods and services, which in turn d...

Q: If z=f(x,y), x= r cos θ and y= r sin θ, where f is a differentiable function expressing az/ax and az...

A:

Q: Let R be defined on Z x Z where a R y if æ = y( mod 7) Define the equivalence classes of R as P = {[...

A:

Q: What interest will be earned if $4,800 is invested for 7 years at an annual rate of 12% compounded m...

A:

Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term ...

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=...

Q: 2 If sultana grapes cost R2,40 per kilogram, how much will 9 kg cost?

A:

Q: The open Newton-Cotes quadrature rules use equally spaced points that do not include the endpoints. ...

A: We will use basic knowledge of numerical analysis and quadrature formula to answer this question.

Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

A:

Q: Susan is drawing stars in her notebook. She draws 5 stars on the first page, 15 stars on the second ...

A:

Q: Sl

A: Introduction: The formula for the distance between two points (a,b) and (c,d) is given by, D=(c-a)2+...

Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Let A = {1, 2, 3, 4} Let R be defined on A x A where a Ry if æ > y . a) Draw a mapping diagram of R ...

A: A mapping diagram consists of two parallel columns. The first column represents the domain of a func...

Q: Find and Dw fok the following functions e 2-

A:

Q: f(x) dx =1 then the value of If f(3x +1) dx is %3D ! 1

A:

Q: Round all decimals to 2 decimal places. The length of one side of the regular polygon is: units. The...

A: A polygon is a plane figure with n sides and n angles, where n≥3. If all sides and all angles of a p...

Q: The following holds for the geometric sequence gn: the first term g1 is equal to 5, the sum of the f...

A: The general equation for the nth of a geometric series of first term a and common ratio r is given b...

Q: 2. 3. O1 2 -1 5-1 Given peintsBindthe 2nd alegree palyno that wihfil theCurve Yue 01 44

A:

Q: +x sin +:

A:

Q: Evaluate the given function ſ cos²xsin³dx cos$x а. cos³x + C 5 cos³x cos"x cos3 + C 3 b.- cosx с. co...

A: Solution

Q: Given set A determine if the following statements are true or false. (Enter T for true and F A = {a,...

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: (b) 1 1.1 1.2 1.3 1.4 1.5 f(x) 12.1 10.6 9.0 7.3 5.5 3.6 f (x) appears to be f"(x) appears to be

A:

Q: 6. - ydx + (x ++ Jy )dy = 0 7. (1+x*)dy + x(1+ 4y°)dx =0 8. (e* + y)dx + ( 2+ x+ ye" )dy =0 2y 9. 4....

A:

Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0 (-...

A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation wi...

Q: Use any method to determine whether the series converges or diverges. 00 k3 + 27 k=1 O The series co...

A:

Q: How many days are there are there in 157 weeks

A: We know that in one week there are seven days.We have to find the number of days in 157 weeks.

Q: .1 Use a calculator to calculate the following. Write your answer using the rounding instruction wit...

A:

Q: On a casual day it was found that 12% of the learners wore their favourite t-shirts. The remaining l...

A:

Q: The convolution product of two functions f and g is the function g * f defined by: g*f = g(t – v)f(v...

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = 2 sin(V2t), y(0) = 11, ...

A:

Q: Question 10 Given z = 1 + iv3 find r and O such that Z = re". Or= 4, 0 = - Or = 2, 0 = - I| Or = 4, ...

A:

Q: EXTENSIONS Given any seven different non-zero digits, what placement of the digits in a two-digit nu...

A: Let's consider the seven non digit numbers are: 3, 4, 5, 6, 7, 8, 9.   A four digit number and three...

Q: Find the Fourier series of the following waveform: f(t) -T -T/2 T/2 T. Which is defined as 2t f(t) =...

A: The given problem is to find the Fourier series expansion for the given periodic function with given...

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

A:

Q: 5. Let G be a graph with degree sequence (5, 5, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1). Does there exist a bi...

A:

Q: y" + 2y' +y = sin x+ 3 cos 2x.

A: Let us consider the given differential equation y''+py'+qy=Q(x). To solve the differential equation ...

Q: System B travels with respect to system A at constant velocity V = Bck. Assuming the origins of both...

A:

Q: Solve the inverse Laplace transform: 3s s2+4s+13

A: We need to find L-1{3ss2+4s+13}

Q: 1. Apply the Sieve Process from 200 to 300.

A:

Q: 2. Show that the AR(3) process Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &, %3D can be written as AY, = B...

A:

Q: Determine validity using euler circles. No cat is easy to please. All persons who are easy to pleas...

A: Eulers circle is a dramatical representation which tells about the set and its relation. It helps to...

Q: If z=f(x,y), x= r cos θ and y= sin θ, where f is a differentiable function expressing az/ax and az/a...

A:

Q: For each of the functions below, indicate whether the function is onto, one-to-one, neither or both....

A: One - one function is a function that maps distinct elements of its domain to distinct elements of i...

Q: dy 2- (a) Determine dx if y = V(3x2 + 2)3 – 8 . (b) State any values of x for which the function f(x...

A: Given that: y=3x2+23−8

Q: Let E be the set of all positive even integers. Prove that E is countably infinite by defining a map...

A:

Q: f(x)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...

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: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: Find the solution to each of these recurrence relations and initial conditions. (а) аn Зап-1, 0о 3 2...

A: As per our guidelines we are supposed to answer only first one.kindly repost other parts in the next...

Q: Give three points that are equivalent to the polar point ( – 8, 270°). Write the three points in pol...

A:

Q: Use separation of variables and find (if possible) product solutions for the following PDES : 1. ux ...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...