15 -3

Q: Find the indicated root of the given equation to at least four decimal places by using Newton's meth...

A: Here is the solution of the given problem. Newton's Method to finding the roots of a equation.  

Q: Write the decomposition. expression ru-3) 4 the in partial Junctions Yational १० in terms f onstants...

A: We can solve the problem by theory of partial decomposition.

Q: For the discrete logistic equation xt + 1 = Cxt(1 – Xt) and the given values of xo and c, calculate ...

A: Let's find. 

Q: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6  f(x) = L, and prove that the limit ...

A: Let f(x) = (3x^2 + 16x − 12)/(x + 6). Find L such that lim x→−6 f(x) = L, and prove that the limit i...

Q: Part 1: 1 1. S *(In x)3 dx 2. Se3x cos x dx 3. S(1 + x²)e-*dx 4. So x²e*dx

A:

Q: 1. Consider a differential equation of the form y' = f(at + By + y), where a, B, and y are constants...

A:

Q: In Exercises 47-52, use Eq. (12) to find N at the point indicatee 47. (12,1), 1 = 1 %3D 48. (t- sin ...

A: The solution are next step

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

A: topic - increasing and decreasing intervals of function

Q: 5. Evaluate the following limits: sin(6x) а. lim x→0 5x3-4x cos e – 1 b. lim sin 0

A:

Q: A gutter having a triangular cross section is to be made by bending in the middle of a strip of squa...

A: Here is the solution of the given problem.

Q: Solve the general solutions of the following exact equations. dy 1.)2xy+ y - 2x =0 dx 2.)2(y+1)e*dx+...

A:

Q: For the above function f( x ) = 3 - 0.95*, estimate f '(x) using h = 0.001 for the following three v...

A:

Q: To solve the differential equation with linear coefficients (x+ y- 1)dx+(2x+2y+1)dy=0, use the subst...

A: The given differential equation is: (x+y-1)dx+(2x+2y+1)dy=0 Let, z=x+yThen,dz=dx+dy

Q: 4. Fred's Freaky Fudge Factory total cost in dollars to produce x units of its product is given by t...

A:

Q: x+1 dx: VX -x

A:

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is m...

A:

Q: Find the derivative of the function. 1 y = 4/x +3x dy dx |00 %3D

A: Use formulas of derivatives to find dy/dx

Q: Differentiate f(x) = -1 = COS (4x). Use exact values. f'(x) = %3D

A:

Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

A:

Q: ydx – xdy The general solution of the differential equation 2xdx = y2 is

A: Let's find. 

Q: Solve the initial value problem 2yy' +4=y² + 4x with y(0) = 5.

A:

Q: 2x tan x+ cos I COS T lim

A:

Q: 2. Multiple choice. Choose the correct answer. When we take the derivative of y = 2g(x)2 we get a. y...

A:

Q: Find an equation of the plane. The plane through the point (-3, 9, 10) and perpendicular to the line...

A: Find the equation of the plane

Q: The percentage of men 65 years and older in the workforce from 1970 through 2000 is approximated by ...

A: Let's find. 

Q: z= cos y Using the substitutions the DE (3cos y - 5x) dx – 2x?tan y dy=0 reduces to dz= - sin y dy

A:

Q: The critical values of the given function are x = 6, -6. If the second derivative is positive at one...

A:

Q: |(In 6x)2 dx ОА. x(In 6x)2 - x(In 6x) + x + C В. x(In 6x)2 + 2x(In 6x) - 2x + C с. x(In 6x)2 - 2х(In...

A:

Q: Find the D.E. of the family of parabolas with axis parallel to the y – axis and with the distance fr...

A: Given, The family of parabolas with axis parallel to the y-axis and with the distance from focus to ...

Q: Write the linear DE (2y sinx - cos'x) dx x dy=0 + yP (x) =Q (x) dx + COS in standard form

A:

Q: dy + y csc x = sin x is dx The integrating factor of the linear DE of order one A cot?x B csc x cot ...

A:

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconcl...

A: Given that: ∑n=1∞enn!

Q: The only function whose derivative is itself is y = e*. a. True b. False because y = 2ex is another ...

A:

Q: Recall the chain rule from differential calculus: f (g (æ)) = f' (9 (æ)) · g' (æ). d dx Find de tan ...

A: We have to find

Q: What is the integrating factor of the linear DE of order one ydx + (3x – 2y+ 5) dy=0? 1 A x² B y3 C ...

A: Given linear differential equation is y dx+(3x-2y+5)dy=0 ⇒dxdy+3xy-2+5y=0⇒dxdy+3xy=2-5y Which is com...

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length ...

A: Work done is given by as W = 1/2 kx² Where, W = work done K = constant X = distance

Q: the current population of a small town is 3200 people. it is believed that the towns population is t...

A: GivenThe current population of a small town is 3200 people. it is believed that the towns population...

Q: Solve the DE X"y'+x°y= - csc(xy) by forming integrable combinations. 2x²cos(xy) = Cx2 -1 B 2x2 In|cs...

A: Differential equation

Q: Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comm...

A:

Q: Find the given derivative. 1 D 2x 3 DX 2x 5

A:

Q: 10x3 dx 1 – x8 5.)

A:

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 3 and roots of multiplicity 1 a...

A:

Q: z=9x + 4y + 1 dy = (9x+4y+ 1) 2 reduces to dx Using the substitution the DE -- dz=9dx+ 4dy

A:

Q: Find the derivative of y with respect to x. y = sin -1(et) OA. 5e 5t /1- e 10t O B. - 5 e 5t /1- e 1...

A: We have to find

Q: 1 -dx 3-4х

A:

Q: ne following alternating series, (0.4)³ (0.4)5 (0.4)7 +... 7! Pn = 0.4 + 3! 5! many terms do you hav...

A:

Q: The doubling period of a bacterial population is 20 minutes. At time t = 90 minutes, the bacterial p...

A:

Q: Use the quotient rule to find the derivative of the function. X +4 X-9

A:

Q: Find the solution of the differential equation: 2(2x² + y² a. x³ = c(4x? + y²) c. x³ = c(4x³ + y³) b...

A: In this question we will use basic of calculus i.e solution of differential equation. We will use si...

Q: V4 + x2 dx

A: