Question Let h(x) = f(x)g(x). If f(x) = 4x² 3x and g(x) = In(3x – 1), what is h' (x)? Select the correct answer below: h' (x) = (3 – 82) In(3x – 1) + 12x2 –9x 1–3x 12x2 –9x h' (x) = (8x – 3)(3x – 1) + 3x-1 O h'(x) = (8x – 3) In(3x – 1) + 4x² –3x 3x-1 O h (x) = (8x – 3) In(3x – 1) + 12x2 -9x 3x-1

Q: Find a differential operator that annihilates the given function. x7 -x? +9 A differential operator…

A:

Q: 3. f (x) = x² + 5x + 4 3. f (x) = x² + 5x + 4 Opens up/down: Vertex: Axis of symmetry: Solution(s):…

A: The quadratic function is a second-degree polynomial in which the highest power of the variable term…

Q: Differentiale and integrate Hhe ff. power seties. 1) fx): n=0 2n nr4 (3n-4) x 2.) f (x)-= n=1

A:

Q: (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at…

A:

Q: Finding solutions with Integrating Factors 10. Solve y(2xy + 1)dx + x(1 + 2xy – x³y³)dy = 0

A: Given the differential equation

Q: 1.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x 2.) Given…

A:

Q: Advertising Jesaki Inc will sell N units of product after spending $x thousand in advertising, as…

A: Please refer to the image below

Q: 12. [-/5 Points] DETAILS HARMATHAP12 13.2.051. In this problem, use properties of definite…

A: Given below the detailed solution

Q: Suppose that a dimension X in the area A= 6x*2 of a shape are differential equations functions of t.…

A: Here we differentiate the function with respect to ' t '

Q: CALCULUS 1 DIFFERENTIAL CALCULUS x2-8x+7 5. y x2+4 dy dx

A: D/dx(xn) = n.xn-1

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

A:

Q: 3) The function f(x) = e*(x² + x – 1) has derivatives f'(x) = e*(x² + 3x), f"(x) = e*(x? + 5x + 3),…

A: we have given that f(x)=exx2+x-1 and the derivatives of the function f(x) are:…

Q: Differrentiate: y=(x-h)^y y=(sin(x^2-2t))^3-(log2(x^0.5))/(x*(e^(x^2)))

A:

Q: 6tan¬1 dw w

A:

Q: V9-4x2 The integral of the given function dx is x2 -19-4x2 а. 2x ArcsinA + C -V9-4x b. 2x - 2Arcsin…

A:

Q: 11.f (4x+5)dx √√1-2x

A:

Q: Find the absolute maximum and absolute minimum values of the function f(x) = 3x - 12 ln(2x) on the…

A:

Q: IntegrateIn(a) da. о х5 5 x5 ln(x) - x5 25 x5 In(x) - - 25 x4 5 ·ln(x) + 1 X - x5 5 x5 25 +C + C + C…

A:

Q: Newton's method after 3rd iteration taking (1, 1) as the initial approximation: x' - 3xy² +1=0 ;…

A: The two functions are: f1x,y=x3-3xy2+1 f2x,y=3xy2-y3

Q: Differential Equations. Solve the particular solution of y2dx+x(x+y)dy=0 when x=1 and y=1. USE x=vy

A:

Q: 1 dx. 0 1+x2 Use the Max-Min Inequality to find upper and lower bounds for the value of, ..... 1 For…

A:

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y2 – 2x3

A:

Q: integration of e^x(9-e^x)^1/2

A: Given that

Q: integral the  x^2 e^-x

A:

Q: Determination of Integrating Factor Solve y' = (4xy + y2)/(2x2 - 2y)

A:

Q: c) A thin wire of 5 cm length is heated with initial temperature profile f(x) = 1-x² and its two…

A:

Q: (Requires calculus) Let X denote the prison sentence, in years, for people convicted of auto theft…

A: Expected value is given by

Q: Integrating Factor * Test for exactness and find the general solution : у (xу — 1) dx + x (ху* — 1)…

A: Exact Differential Equation and Its solutions: The differential equation is exact if and only if…

Q: 7. Integrating Factors Found by Inspection: Solve the equation ydx + (x + x³y² ) dy = 0

A:

Q: Show that every member of the family of functions y = (ln x+C)/x is a solution of the differential…

A:

Q: PART A: Find the general solution and particular solution of the following differential equations…

A: take integration

Q: Determination of Integrating Factor Solve (x3 +y2)dx + (x2- 2xy)dy = x3 + 2xy - 2y2 =c O x3 - 2xy -…

A:

Q: 52. According to one model of coughing, the flow F (volume per unit time) of air through the…

A: Note : There are many subparts in the question. So I will answers the only first two subparts from…

Q: С. REDUCTION OF ORDER AND VARIATION OF PARAMETERS 1 1. (D² + 8D + 16)y 1-e4x

A:

Q: 3. (2 + 5z) e* dr

A:

Q: Using Newton's Method to approximate the x- intercept of the function f(x) = 2x + 3x² + 2x-1 using…

A:

Q: 9. f √x³-1dx x

A:

Q: x3 dx Using integration by parts to solve J- V4-x2 and letting -÷x², then v = f(x) is U = - %3D

A: We use integration by parts

Q: Subject: Differential Equation Topic: Coefficient Linear in Two Variables 1. (2x - y)dx + (4x + y…

A:

Q: 4-x (x+6)2 dx can be found by several diftevent methuds.Integration by parts yeilds 4-X dx = X-4…

A:

Q: Calculus dy f(y), where f(y) is a dt The phase line for a differential equation differentiable…

A:

Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

A:

Q: Question FHelp The stock price for a certain corporation can be approximated for the years 2010…

A:

Q: dx (5-4x-x²) 18. 8. f

A:

Q: Find the critical point of y = 1+ ln x / x.

A: Given: y=1+lnxx We know that a critical point is a point in the domain of the function where the…

Q: S{(x-1)[(2x^3)+(2x^2)+(3x)+2]dx}/[(x^3)(x+1)]

A: As per bartleby guidelines we only give first question answers.

Q: domain f(x.y) = vx-1 ln(y² – x) domain and range

A:

Q: QI) Find the critical local extreme points (if any) to the function f(x,y) = -2x +y +8x-8y

A: Put first derivative wrt x and y  zero for critical point

Q: (ylny − e¯xy)dx + ( + xlny) dy = 0 -

A:

Q: Boundany condition ) Solve the initial value probfem : (x-1) y" +xy' +y =0; y@) =2, y'c0)= -1

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…