Use the integrating factor method to find y solution of the initial value problem ty = y-2t² cos(31), (7) = 0 (a) Find an integrating factor μ. If you leave an arbitrary constant, denote it as c. μ(1) == Σ (b) Find all solutions y of the differential equation above. Again denote by c any arbitrary integration constant. y(t) = (c) Find the only solution of the initial value problem above. t> 0. Σ

Q: Find the component form of the vector PQ ​, where P=(6,7) and Q =(9,-8). The component form of PQ is…

A: INTRODUCTION The component form of a vector is expressed as <x, y >, where x denotes the right…

Q: Use a computer algebra system (CAS) to evaluate the following integral. 10x 3+59e-5x² dx +C

A:

Q: The expression r = 4/5 x5y (25) * = xr yt where: and t = |

A:

Q: Use the substitution formula to evaluate the integral. π/2 S 0 COS X (3+4 sin x)³ 3 O A. O B. O C. O…

A:

Q: 4 Find the are length function for the curve (t) = starting from the point (0,0,1) in the direction…

A:

Q: Evaluate the improper integral or state that it is divergent. 00 S dt 2-5t OA. 5 In 6 B. O C. 1 - In…

A:

Q: 2. Let f be defined by { x 0. f(x):= I 0 Using the definition of the derivative, verify if f has a…

A: We need to find derivative.

Q: Rewrite the logarithmic expression as a single Simplify any fractions. log_(2)16-log_(2)14-log_(2)20

A: let  I=log216-log214-log220formula used is  logab=loga-logblogxn=nlogx

Q: Solve the initial value problem. dx y(x) = = (7x² + 9) (4x − 3), y(2) = 7

A:

Q: (5 Evaluate the limit or explain Make the a) lim Sure limit. 2xy (x,y) → (1.2) y²-2x² 6) lim to…

A:

Q: Question Simplify the following series of additions and sub -5-8+9-10

A: We have to Solve : -5-8+9-10

Q: 3. f(x)= Domain: -2x + 1 |5x4 x≤2 x>2 Range: Function: Yes No Continuous: Yes No f(-4)= f (8) =…

A:

Q: Use the given graph of f to state the value of each quantity if it exists. If the quantity does not…

A: We need to find out the limits for the given graph.

Q: Question 6 sm .The form of your answer sh is an integer. (3x^(3)+x^(2)-4x+12)/(x+2)  Full explain…

A: here we see that f(x)= 3x^(3)+x^(2)-4x+12 f(-2)= -24+4+8+12        = 0

Q: Find the domain and range of the function. -8 √2+1 g(z) = O A. D: (-1,00), R: (-∞0,0) OB. D: [0,00),…

A: Given: g(z)=-8z+1

Q: Complete the table. (Round your answers to four decimal places. Assume x is in terms of radian.) 8…

A:

Q: (a) Find the slope of the curve y=x² - 4x-5 at the point P(3, -8) by finding the limit of the secant…

A: (a) The given curve is: y=x2-4x-5 To find the slope of the curve at the point P3,-8 by finding the…

Q: 6. Simplify the following equation y = 2√√xx 4√√x- A. y = 8x¹/8 - 6x²/5 + x-3 B. y = 8x³/4 C. 4-5 x3…

A:

Q: The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the…

A: Given:- The consumer Expenditure in dollars for a commodity is the product of its market price p and…

Q: Use lim f(x) = 4 and lim g(x) = x-c = - 3 to find the limit. Write the exact answer. Do not round.…

A:

Q: For what value of a is the following function continuous at every x? a²x+2a, x≥2 12, x < 2 f(x) =…

A:

Q: Given f(x, y) = 100x + 80y - 3x² - 4y² - xy, evaluate f(2, 3). Answer exactly.

A: Here given function f(x,y)=100x+80y-3x²-4y²-xy For the value of f(2,3) we have to replace x by 2 and…

Q: M Q1: Find the area of the parallelogram with vertices k(1,2,3), (1, 3, 6), m (3, 8, 6), and n(3,…

A:

Q: 07 Find the binomial expansion of (z-2)^3 *

A: Given,           The expression is z-23.To find : Find the binomial expansion of the given…

Q: Question 2. The second order linear homogeneous differential equation y" — 2y' — 15y = 0, has a…

A:

Q: Find the inverse function of f(x) = logg(x - 1) f-1(x) =

A:

Q: An open rectangular box with a square bottom must have a surface area of A square inches. Write a…

A:

Q: Question 4 Find the transform of the given function by use of a table. f(t) = e-4t A F(S)-+4) = ® B…

A:

Q: 21) GWEN f(u₂v₂t₂) = ev sin ut FIND fu fv ft ?

A:

Q: 3. [-/7 Points] Complete the table. (Round your answers to four decimal places. Assume x is in terms…

A:

Q: 7. Determine an equation of the form y Asin[B(x-C)] +D or y Acos[B(x-C)+D for the following graphs…

A: Here y=AcosBx-C+D⇒A=Amplitude⇒C=Phase shift⇒D=Vertical shift⇒Time period T=2πB

Q: For what values of a and b is the following function continuous at every x? -2 X≤ - 1 f(x) = ax-b -…

A: condition for f(x) is continuse at x=1 limx→1+f(x)=limx→1-f(x)=f(-1)condition for f(x) is continuse…

Q: Determine if each is correct or incorrect (a) In(2) + In(x) – In(y) = - ---Select--- ✓ (b) 104log(x)…

A:

Q: Question 3. The second order linear homogeneous differential equation 2y" 28y' +170y = 0, has a…

A: if roots are complex in the form of α±β of axuilary equataion than solution is y=eαx(c1cosβx…

Q: Find the domain and range of the function. g(z)=√25-2² OA. D: [0,00), R: (-00,00) O B. D: (-00,00),…

A: Topic = Functions

Q: 1. Given lim f(x) = 3, lim g(x) = -2, lim h(x) = 7, compute the following: x-1 x-1 x-1 (a) lim (f(x)…

A: accorging to guide line we do only first three parts of multiparts questionsplease re post other…

Q: Find the linearization L(x) of f(x) at x = a. 2 f(x) = √√x² +13, a=6 L(x) =

A:

Q: Let g(x)=√x +3 for x ≥0. Comp a. Find the average rate of char The average rate of change ove (Round…

A: Let a function f( x ) and interval ( a , b ) then average rate of change = f( b ) - f( a ) b - a

Q: Let ƒ(x) = 4x − sin(4x). a) Find f (0). f(0) = b) Find ƒ(§). ƒ(§) = CHECK ANSWER

A: Given query is to find the value of the function at indicated points.

Q: Solve equation on the interval 0 ≤ 0 < 2π. 5 sin2 0 - 12 sin 0 + 7 = 0 0 =

A:

Q: 9. 49x² + y² = 49 Equation vertices: co-vertices: foci:

A:

Q: A company's average cost per unit when x units are produced is defined to be Total cost Average cost…

A:

Q: 1. Find the Derivative of the algebraic function. a. f(x) = √x x³+1

A:

Q: Problem #1: Which of the following differential equations are NOT separable? 242 243 2 = = x+8y X…

A:

Q: X-8 lim x8x²9x + 8 X lim x →8 x² f(x) 7.9 7.99 7.999 8 ? 8.001 8.01 8.1 Use the result to estimate…

A:

Q: Find the product. Simplity your answer. 2z^(2)(-3z^(2)+5) ..

A: This is question of calculus  Here multiplication of z numbers given  Further calculation is given…

Q: Find the domain and range of the function. - 3 √√2+1 g(z) =

A:

Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A:

Q: Problem 1. Suppose fis continuous and that for all x > 0, So tf(t) dt = sin(x) = x cos(x) (a)…

A:

Q: Solve the equation. (4x² +3x¯²y)dx + (x²y² −x ¹)dy=0 An implicit solution in the form F(x,y) = C is…

A: Given differential equation ( 4x2 + 3x-2y )dx + ( x2y2 - x-1 )dy = 0 Mdx + Ndy = 0