Find functions f and g such that h = go f. (Note: The answer is not unique. Enter your answers as a comma-separated list of functions. Use non-identity functions for f and g.) h(x) = (6x29)-3 {[ (g(x), f(x)} =

Q: ' + y' - 6y = 3x - e2r y' е

A:

Q: Q9. Water is brought to a boil and then removed from the heat. The temperature, T, after t minutes…

A: Water is brought to a boil and then removed from the heat The temperature , T after t minutes is…

Q: (1) The series Ex=1 k4/5 is: 8 (-1) A) conditionally convergent B) absolutely convergent C)…

A:

Q: The Lagrange multiplier technique is to be used to find the points on the ellipse 2r² + y² = 1…

A: The Lagrange multiplier technique is to be used to find the points on the ellipse  closest to and…

Q: (c) Hence compute x6(log x)5 dx.

A: From part a we have results

Q: Find the solution to the initial-value problem dy dx e5y. 3, y(0) = ln(ln(3))

A:

Q: Show that dri dt = r2 dr2 r₁ dt. If r₁(t) = t², what is when A₁ = 4A₂? dr2 dt

A:

Q: Use Simpson's Rule with n=6 to estimate the length of the curve y = 3 sinx, 0≤x≤ π Round your answer…

A:

Q: 4. The marginal cost function for a particular product is given by C'(x)=√ If the overhead cost is…

A: Integrate marginal cost function to find the total cost function.Use the formula

Q: dy dx - x7e² = 2e", y(0) = 1

A:

Q: 10. True or false: the function y= 9=0 horizontal asymptote Jinz (x) x²+3 a has

A:

Q: L.A. Wedding Caterers offers a wedding reception buffet. Suppose a menu is planned around three…

A: There are 8 different choices of salads, from which 3 different salads can be chosen in  ways.There…

Q: (4) The interval of convergence B) (---) A) [0] of the power series C) (-3,3) is: -1 D) (-∞0,00)

A:

Q: Use the Laplace Transforms to solve the following IVP (Initial-Value Problem) y" - 3y + 2y = 0, y(0)…

A: We can solve the given Initial value problem by using the laplace transform formulas.L(y") = s2 Y(s)…

Q: 1-4 (a) Determine an appropriate trigonometric substitution. (b) Apply the substitution to transform…

A:

Q: c) Find the equations of the tangent lines to the curve In(x² + xy) = 1+z²y at the points where it…

A:

Q: d²y If y= 2 f(g(x)), then dr²

A:

Q: Find the solution of the differential equation r"(t) = (e¹21-12, t² - 1, 1) with the initial…

A:

Q: y=x² y=2-x

A: Given y=x^2 and y=2-xThen calculate derivative for above functions

Q: Q7. If a beam of light that has intensity k is projected vertically downwards into water, its…

A: If a beam of light that has intensity k is projected vertically downwards into the water its…

Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

A:

Q: Use the graphical 2-D method to minimize subject to z = 3x₁ + 6x2 I1 3x1 x1 + x2 + 7x2 7x2 + 522 >…

A:

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: To find the volume of the solid generated by revolving the region bounded by the graphs of the…

Q: A can is filling with water at a rate of of r(t) = t² If the can was empty at t = 0, what formula…

A:

Q: Use the definition of the derivative to find g'(x) g(x)= (3x) / (x-2) , g'(x)= (-6) / (x-2)^2

A: Let a function f( x ) then according to the definition of derivative Given function

Q: On the moon, the acceleration due to gravity is -1.6 meters per second. A stone is dropped from a…

A: Given:Acceleration due to gravity on moon =-1.6m/sTime taken(t)=35 sec

Q: So dx 1+√√3x 3x - 2

A:

Q: -1 [(sin-¹ a) da

A:

Q: J2 29 1 3 √x - 2 Vx dx.

A:

Q: In how many ways can three married couples attending a concert be seated in a row of six seats if…

A:

Q: Let r = (eSt-11, e7-10, (t + 1)-7). Compute the derivative.

A:

Q: 4 Compute f'(3) for the function f(x)=. x² +5 (using the definition)

A:

Q: • find the equation of the tangent live T(x), to the graph of the giller fenction at the indecated…

A: y= 2√x +1We have to find equation of tangent line at point (4,5)

Q: What is the exact value of sin 7 t

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Graph

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. Jill…

A:

Q: 23:51 1 SEARCH Chapter 5.2, Problem 51E To determine & ASK c = co + To calculate: The capitalized…

A:

Q: Let r(t) = (14, 15) g(t) = sin(31) Evaluate the derivative using the Chain Rule. (Use symbolic…

A:

Q: Find the indefinite integral. x²³ ex²-1 dx

A: let

Q: The pH of a solution is given by the formula pH = log 10- in which H+ is the concentration of…

A: The pH of a solution is given by formulaWhere,  is the concentration of the hydrogen ions in gram…

Q: Evaluate the following limits. sin x 2x lim x→0 sin ax lim x-0 sin bx

A:

Q: 6. Local farmers nurture a plant which grows at the rate of = 1.8t+4 (where t is the time in years…

A:

Q: Use half angle formula to find the exact value of the following expression sin157.5

A:

Q: (2) The sequence {(1-2¹), A) converges to e7 n=1 B) converges to e-7 C) converges to -7 TL D)…

A:

Q: Find the solution of the differential equation r' (t) = (et-6, 2-1, 1) with the initial conditions…

A: r''(t) =<e6t-6, t2-1, 1>r(1)=<0,0,11>r'(1)=<7,0,0>

Q: Suppose the position of a particle, s(t) is given by s(t) = t²8t+19 feet, where t is time in…

A:

Q: graph F(X), Determine f'(x) then graph T] f(x) = 1 + x + x

A:

Q: 6x² + 2 x² + 2x - 3 2 J dx

A:

Q: Compute the derivative (r₁(t) r₂(t)) if r₁(t) = (t³, 1³, 16) r₂(t) = (e²¹, est, e7t) (Use symbolic…

A: