Whet is the particular solution if y(1)-07 zy = y+ (x² + y²)² y =z sin (In z) Arcsin 2- - In z + 1 Option 1 option 2 Arc sin- 2 = Inz – 1 z - 1 Option a None of the Choices

Q: Suppose an object moves along the y axis so that its location is y f(x)=x² + x at time x (y (A) The ...

A: Given: - The object moves along the y-axis so that its location is y=f(x)=x2+x at time x(y is in met...

Q: a) Find the population after 7 years. (Round to the nearest integer as nee

A:

Q: Determine C when x=y=0 (xy + x)dæ = (x²y + æ² + y³ + 1)dy

A: Given that xy+xdx=x2y2+y2+x2+1dySolution :xy+xdx=x2y2+y2+x2+1dyxy+1dx=x2y2+1+y2+1dyxy+1dx=y2+1x2+1dy...

Q: Learning Goals: Graph quadratic tion. Use the graph of a parabola to obtain the represented quadrati...

A: Topic:- geometry  Note:- as per our guideline if more than three subparts posted than only first thr...

Q: d b) [ 4e*(In x) ] dx

A:

Q: 2 Find pxV 1+ 3x² dr, where P is the ellipse parametrized as follows: r(t) = , 0<t< 2n

A:

Q: Evaluate the following functions. 1. lim x2 • coS X X 4.

A: Our Aim is to evaluate the function given below:-limx→π4x2. cos (x) -(i)

Q: Given the vectors u =(-2,3,1) and v=(4,-6,–2) : a.) Determine if the vectors are orthogonal, paralle...

A: u and v are orthogonal if u .v = 0  , and if v = ku ,for any real number k , then u and v are perpen...

Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 – x³, (1, 6) y = Illus...

A: Given that the equation of the curve is            y = 7x2 - x3 

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23..

A:

Q: For the given p-series, identify p and determine whether the series converges. 4/3 k=1 p = Therefore...

A:

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

A:

Q: 4. S sin xdx 5+cos?x dy 5. S 15+4y-4y2

A:

Q: Use the difference an+1 a, to show that the given sequence {a, } is strictly increasing or strictly ...

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

A: Given: N'(t)=0.049 N(t)Therefore:dNdt=0.049 N

Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector ...

A:

Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show tha...

A:

Q: The percentage of students meeting national mathematics benchmarks on the ACT increased from 40% in ...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos?x sin x dy + (y cos³x – 1) dx = 0

A:

Q: World population' is about P = 7.68(1.0103)', with P in billions and tin years since 2020. (a) What ...

A:

Q: ) Find an equation of the tangent line to the curve y = Vx at the given point (4, 2). e the definiti...

A: topic - equation of a tangent line

Q: 7. y = x², y = 6x – 2x²

A:

Q: x'dx The integral expression can be evaluated using integration by parts of the form udv = vdu Using...

A:

Q: dy Find dx if y = cos e*

A:

Q: dz dz Use the chain rule to find and as at arcsin(x – y), x = s² + t², y = 4 – 9st Z = az as az at

A:

Q: Provide a left-hand-side, right-hand-side proof of the following: dt

A:

Q: Express the repeating decimal as a fraction. 0.8888. . .

A:

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

A:

Q: 1 2) Evaluate n(n + 1)(n + 2) n=1 A B + n + 1 1 Hint: Find constants A, B and C such that п(п + 1)(п...

A: We are asked evaluate the given

Q: f(x)=7+2x−2x^2, find the equation of the line tangent to the curve f(x)

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: topic - functions and derivatives

Q: evaluate the following limit by contructing the table of values

A: Our Aim is to evaluate the limit of the expression given below by constructingthe table of values:-l...

Q: |S sin(x)e²= dæ = } sin(x)e2 – S e2= cos(x)dæ. S*A):de converges. 1. - 2. |Assume that {an}n20 and {...

A:

Q: Solve the initial- value problem: 1: xdy =0 ; y(1) =- xcos ( /x)-y dx + 4

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: Francesca's gross pay for her pay period was $3,400. How much of her earnings were withheld for Medi...

A: The medicare tax is 1.45%.

Q: dA Find the general form of the function that satisfies = - 7A. dt A(t) =| %3D

A: Given query is to find the general solution of the differential equation.

Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

A:

Q: fcsch Icothu- pschul tc d. udu %3D

A:

Q: Let i = (43, –203, 8301). Find the cross product i x 37v. The answer is simple, and you do NOT have ...

A: v→=(43,-203,8301)v→×37v→ =37(v→×v→)In cross product of vectors formula is goven as ( a→×b→=|a||b|sin...

Q: Perform the indicated integrations. 1. S- ydy 25-16y 2. zdx 9+x2 dx 3. Jax-4x+5

A: since you have posted multiple question i can do first three question as per our company guidelines....

Q: 13. Find the equations of both lines that pass through the point (2, – 3) and are tangent to the par...

A: We need to find equations of tangent lines.

Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes...

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: Which of the following describes a plane perpendicular to the vector n = (2, 1, -4) and contains the...

A:

Q: he cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the a...

A: Given query is to find the average rate of change and instantaneous rate of change of cost.

Q: 2x sec(5x) tan(5x) dx can be evaluated using integration by part The integral expression udv =uv the...

A:

Q: For the following exercises, find the lengths of the functions of X over the given interval. If you ...

A:

Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for ...

A:

Q: The volume of a right circular cone of radius x and height y is given by V 3. 1 TLʻY. Suppose that t...

A:

Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

A:

Q: If VI + = 11 and y(9) = 64, find y' (9) by implicit differentiation.

A: