Use Green's Theorem to evaluate the line integral of F (x°, 9x)

Q: Σ [n(n+1) 2. Prove: Vne Z*, || 2 i=1 WI

A: Sum of first n terms is given as  1+2+3.....+n=n(n+1)2 Sum of square  first n terms is given as  12+...

Q: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 42° +...

A: The complete solution is in given below  

Q: 1 (2r + 1)(2r + 3) 6 2(2N+ 3) 1 1 Use the method of differences to show that s=1 2N 1 1 Deduce that>...

A:

Q: .(Subtle) Suppose p(x) is continuous on some interval I and a is a number in I. What can be said abo...

A: The complete solutions are given below

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

A: Introduction: Like an infinite sequence, an infinite series is also convergent or divergent. The sum...

Q: Find the length of the curve for the following parametric equations for 13 < t < 15. Find its exact ...

A:

Q: 15. which are subgroups (1, 7, 49, 43) b. (1, 9, 19, 21, 39, 41, 49) c. (RO, R90, V. H, D) d. operat...

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts for...

Q: Consider the function on the interval (0, 2m). (x) = sin(x) cos(x) + 7 (a) Find the open interval(s)...

A:

Q: Let C be the positively oriented circle x? + y? = 1. Use Green's Theorem to evaluate the line integr...

A:

Q: Question 3 Consider the function f(r, y) = 2x + 4y² %3D and the curve y(t) = (sin t, cos t), te (0,2...

A: Introduction: For a given function fx,y and a curve rt=xt,yt, their composition is frt=fxt,yt. The d...

Q: Solve y42-2 cos a yr+1 + Yn 2 cos a yntl + Yn cos an. %3D

A:

Q: Prove that 3 and 1+v-5 are relatively prime in Q(V-5), but that there exist no integers A, µ E Q(v-5...

A: We will use the basic knowledge of ring theory and UFDs to answer this question properly, in detail.

Q: Prove that every algebraic integer divides a rational integer.

A:

Q: 4. Solve the IVP: d's t3, s(0) = 3,s'(0) = -8 dt2

A: 4 Given IVP is d2sdt2=t3, s0=3 and s'0=−8 Write the auxiliary equation which is given below m2=0 ⇒m=...

Q: Please prove the following statement is false with mathematical reasoning, example and graph If f(x;...

A:

Q: Sam is keeping track of the distances at a long jump competition. The jumper from Eastside High jump...

A: Given that jumper from Eastside and temple high jumped 7.85 meters and 7.1 meters respectively. 

Q: i) Can we say that the antiderivative of sign(x) [not sin(x)] is abs(x) ? sign(x)={-1 if x0}. Explai...

A: The complete solution are given below  

Q: BASIC LEVEL 1. FILL IN THE BLANKS: 1. Division is repeated 2. Divisor x = Dividend (Remainder is Zer...

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

Q: prove that tanx Vsecasinxtanx

A: We want to prove tanx = secx sinx tanx

Q: For a small town, the population P grows at a rate of 1.4 % per year. The formula P=18900 (1 + r mod...

A: Given that r=1.4% ⇒r=1.4100=0.014 And formula is given by P=189001+rt We have to find the population...

Q: A train has one engine and six train cars.  Find the total number of ways an engineer can arrange th...

A: Solution:-

Q: Monotonicity Criterion and Plurality with Elimination A school board is going to hire a company to p...

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

Q: Two sets A and B contains a and b elements respectively. If power set of A contains 4 more elements ...

A: Here given that two sets A and B contains a and b elements respectively. and also given that power s...

Q: Let g(x) 3 +x+7. = X i) Find a solution to g(x) in Z/21Z. ii) Find a solution to g(x) in Z/3969Z whi...

A: We will use the basic knowledge of polynomials and the elementary theory of the congruence modulo pr...

Q: Q4. Check the following set is a subspace of R3 or not U = ((x1, x2,x3)| x, = v2 x} %3D

A: The given subset of ℝ3 is: U=x1, x2, x3 |x2=2x1 Definition: Let W be a subset of the vector space V....

Q: A school has x balls and y bats.The total number of bats and ball is no more than 30: Write inequali...

A: A school has x balls and y bats. And the total number of bats and ball is no more than 30. We have t...

Q: Find an orthogonal basis for the space spanned by

A:

Q: The number of women in the workforce, based on data and projections from 1950 to 2050, can be modell...

A: This is a problem of application of differential calculus.

Q: 4.1 True or False: If A is a 4 x 4 matrix with only one eigenvalue, then A is not diagonalizable.

A:

Q: Use the result of the Example above to compute Al0 (for A the matrix from the Example). Hint: consid...

A:

Q: Find the area of the plot below in hectares (Take n IT = 3.14). 120 m 100 m

A: Given:

Q: Solve the system using matrices (row operations) 24y =-112 = -8 2y - 2z 4л - Зу-42 %3D -3 How many s...

A:

Q: The concentration C of a chemical in the bloodstream t hours after injection Into muscle tissues is ...

A:

Q: Find the h,c,f of 12, 15 and 30

A: To determine: HCF of 12, 15 and 30

Q: The place value of 6 in 28.06 is hundreths?

A: To determine: Place value of 6 in 28.06

Q: 3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 ...

A:

Q: p(1) p(2) p(3) mation, and find ker (T). Recall that P3 is the space of all polynomials of degree at...

A:

Q: have a question the cost for producing xitmes is 40x+300 and the revenue for selling x itmes is 80x-...

A:

Q: Use logarithmic notation to represent the solution to each of the following equations. If there is n...

A:

Q: ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

A: This question is related to topic series of real analysis. Solution is given below

Q: Q7. Find f(3) for x 0 1 2 4 5 6 f 1 5 6 19 14 15 a) By Newton's divided difference formula b) By Lag...

A:

Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

A:

Q: Figure LMNP is a rectangle. Which expression can be used to find the distance between point L and po...

A: To find- Figure LMNP is a rectangle. Which expression can be used to find the distance between point...

Q: 7. (D² + D²)z = a²y²

A:

Q: Let (X,dX) and (Y,dY) be metric spaces. If the sequence (fn) of functions from X to Y converges unif...

A:

Q: A fruit juice company makes two special drinks by blending apple and pineapple juices. The first dri...

A: Given data as ingrediantfirst drinksecond drinkApple juse30%60%Pinaple juse70%40% According to the g...

Q: 3. Assume B, C, D, E are all bases for R2. If (:)- 3 2 -1 1 PB-E = PD-C = PE-C = %3D 2 -1 3. what is...

A:

Q: e d C a Are the following statements true or false? True 1. (а, b) € R True 2. (b, с) E R False O 3....

A:

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: Practice: Find the volume of the solids with the following descriptions: a. Set up the integral repr...

A: Given that the solid region is enclosed by the parabola y=2-x2 and the x-axis.  The region can be gr...