Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 18 n(n+3) n = 1 DIVERGES

Q: Find the partial derivative of z with respect to x дz (2x−y) дх Н дz 2 О 0 = 3 - 1 " дх Т 2y 2y дz…

A: Just use the rule of partial derivative and find the required solution.Final solution is in the box.

Q: (A) Find equations of the tangent and the normal lines to the curve x-4t-3, y-3t-6 at the…

A:

Q: Solve the differential equation. 5. y (2xy^2 – 3) dx + ( 3x^2y^2 – 3x + 4y) dy = 0

A:

Q: Use the difference an+1 an to show that the sequence {n - 5"} is strictly increasing or strictly…

A: To find whether given sequence is strictly increasing or decreasing.

Q: D₂ tan³ x = 3 sec O 3 tan² z O secr O 3 tan² z sec²

A:

Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Solve the differential equation. 4. (2x – 3y) dx + (2y – 3x) dy = 0

A: Just I have used the method of exact differential equation and then solved it .Final  solution is in…

Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: Given

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A:

Q: Determine whether the statement is true or false. An equation of the tangent line to the parabola y…

A:

Q: Ⓒ Differenitale y = √3x-7 X

A:

Q: 8) y(y³- x) dx + улу x(y² + x) dy = 0

A:

Q: Graph the function. f(x)=√x-2 Plot four points on the graph of the function: the leftmost point and…

A:

Q: Perform a first derivative test on the function f(x) = 2x3 + 3x2 - 72x+4; [-4,7]. a. Locate the…

A:

Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

A:

Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

A: Given: f(x)=x+1     if x≤11/x     if 1<x<2x−2     if x≥2 To find the where f(x) is not…

Q: Graph the function. f(x)=3√x-5 Plot four points on the graph of the function: the leftmost point and…

A:

Q: 1.y = 5x + 2

A:

Q: In (x-2) sketching y determine ex² he intersection of the curve and the orizontal asymptote. None of…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: The equations x+y=6 and y=- -10-9 -8-7-6 -5 -4 -3 -2-10 -10 Determine the solution (s) to the system…

A:

Q: 4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine…

A: The objective of the question is determine the knowns.

Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

A:

Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: * 4X+1 X+7<6X-1. 6 OX<-89/2 (-∞, - 89/2) OX<-89 (-89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2,00)

A:

Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

A:

Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

A:

Q: sec5 (sin ¹(7x)) √1 - 49x² dx

A:

Q: 25 5 Given the matrices A , B www.m 4 1 -5 for the matrix X in the equation (X - 5B) A = C. X = ,…

A:

Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

A:

Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

A:

Q: 138) How many degrees is Zf+ <h? A) 360° B) 180° C) 90° D) 45°

A: As per our guidelines we can solve only one problem. So please repost the other questions again.…

Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

A:

Q: (1) 2. Determine the total number of different outfits you can create from your closet if you have…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: When the expression log, (47) - log, (3), b > 1, is written in the form log, a, the value of a, to…

A: We need to find a.

Q: 3 3 3 5 2 1 , B = 21 19 1 1 (A - 5B) X = C. Given the matrices A MATC the matrix X in the equation…

A: See the answer below

Q: 6. cos x sinỗ xdx

A:

Q: -3 Given the matrices A 7,4 3 0 for the matrix X in the equation X (A - 2B) = C. X = B -6 7], and…

A:

Q: 11. f(sinx+x) dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Let's solve.

Q: Find the general solution for the following Deferential Equations: x.e²ydy + (2²¹) dx = 0 (Variable…

A: Given :xe2ydy+x2+1xdx=0

Q: d- d³y dx3 d²y +69² y dx² - dy 15- dx 100y = 0 equation

A: Topic = Differential equation

Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

A:

Q: Verify by Differentiation

A: This question can be solved using the concept of differentiation of function of function.

Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

A:

Q: f(x) = 5x + 2

A: Given.