Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

Q: 4. Given: a, = 5, a4 = 13 Find: d =? а. 1 b. 2 с. 3 d. 4

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. 4 In x; xo = 1

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

Q: equations

A:

Q: fy re aris Find volume

A:

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

A: topic- trigonometric identities sin(a+b)=sin(a)cos(b)+cos(a)sin(b)

Q: bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hour...

A:

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

A:

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

A:

Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

A:

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into co...

A:

Q: Solve the given differential equation by undetermined coefficients. y"- 2y' + 2y e2*(cos(x) – 8 sin(...

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(u) cot(u) + s...

A: Question- Write the trigonometric expression in terms of sine and cosine,and then simplify:  Cos(u) ...

Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

A:

Q: Use the formula for the binomial series: (1+x)" m(m-1) 2 + 2! m(m-1).-(m-k+1). k! 1+ тx + + = ... .....

A: Given:     Maclaurin series for 1+x18  Formula for binomial series:      1+xm=1+mx+mm-12!x2+...+mm-1...

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: y- 12e, y- , x-0, x-1 Sketch the region and a typical shell. Rotating a vertical strip around the y-...

A: Given:-the region bounded byy=12e-x2, y=0,  x=0 and x=1rotating about the  y-axisusing cylindrical s...

Q: Questióh 2 of 9 View Policies Show Attempt History Use the formula for the binomial series: (1 + x)"...

A:

Q: Find the derivative of the following function using the limit definition f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: 20. y + x + 4 = 0; (-2, 2) %3D

A: Topic = Derivative

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

A:

Q: Find the volume under the paraboloid  z = 4x2 + 4y2,  above the xy-plane, and inside the cylinder  ...

A:

Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

A:

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: 1) Suppose that the population of rabbits on an island is growing exponentially, following P(t) = Po...

A: Given that population of rabbitspt=p0ekt  p0=250and at t=2 years p2=1200  1. pt=p0ekt1200=250e2k4.8=...

Q: Use the formula for the binomial series: m(m-1).--(m-k+1) k + m(m-1) 2 (1 + x)" 1+ mx + %3! 2! k! m(...

A:

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: f(r) Find g(3) given that f(3) = -6, f"(3) = –4 , and g(x) = %3D 8 Answer: 5

A: Given g(x) = f(x)xf(3) = -6f'(3) = -4 

Q: Express the repeating decimal as a fraction. 0.451141 41 41.

A: Given data

Q: ou are checking for underage drinking in a bar. There are four people at a table. You know that pers...

A: For person A , we need not to check drink or I'd as we know that it is soft drink that is allowed fo...

Q: Use the formula for the binomial series: m(m–1)---(1n–k+1), +. よ! (1 + x)" 1+ mx + m(1m–1) 2 + ... 2...

A:

Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = 0 is s(0) = 15 and i...

A: Given: a(t)=6t+16             v(0)=1             s(0)=15we know that v(t)=∫a(t)dt                   ...

Q: ,2 30. lim x In x

A: Topic = Limits

Q: Write the letter of your answer on the space provided before the number. 1. It is well-defined colle...

A:

Q: Answer the following questions for the function f(x) = - 8x - 36x +240x – 11. a. Find formulas for f...

A:  Given that fx=-8x3-36x2+240x-11To find : f' x,f'' xSolution :a  .fx=-8x3-36x2+240x-11f' x=-24x2-72x...

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Find the derivative of the following function using the limit definition: z =7y2- 11/x

A: We need to find derivative.

Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

A:

Q: A monopolist produces two goods as follows: p= 11-0.5x, q = 51- 0.5y where p and q are prices per un...

A:

Q: A Complete the table. du formula answer 24x +2 (2x -1) (Ax + 2)3 d 2. 7Vx - Sx de Se 3nin2 de sin S ...

A:

Q: Write the complex number in polar form with argument 0 between 0 and 2n. -1 - V3i

A: Given query is to write the expression in Polar form.

Q: In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^...

A:

Q: Evaluate the integral ex /2e-2x – 3e2x xp-

A:

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 8 k! k = 1 Identify a...

A:

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...