Find f''(x). f(x) = (x² + 2) f''(x) =

Q: (1) Let A 1 2 1 10 1 1 1 2 Express A¹ and A as products of elementary matrices.

A:

Q: y = sin (3x)

A:

Q: Solve for the particular solution: 4e-32-2 y = e-6x +3e-3x+2 ; y(0) = 1

A: Given differential equation  y'=4e-3x-2e-6x+3e-3x+2  ; y(0)=1 Rewrite the differential equation as…

Q: Free fall. In dropping a stone or an iron ball, air resistance is practically negligible.…

A: Given     Acceleration of gravity, g=9.80 m/sec2=32 ft/sec2 At t=0, v=y'=0

Q: ose that the price per unit in dollars of a cell phone production is modeled by 0 – 0.012, where x…

A: We will find the required.

Q: D Question 10 Find the limit: lim 0 O FA 0-1/1/20 0 - 1 O(E) 0-²/3 cos(x)-sin(x)-1

A: Solution

Q: A ship is moving at a speed of 15 km/h parallel to a straight shoreline. The ship is 8 km from shore…

A:

Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: Solve the ODE d²c dt² dc +4 = -2C dt at C(0)= dc dt = 1

A:

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim X18 √2x+1-√√x+1 X 2x³-3x+1…

A:

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 3.…

A: =2SOLUTIONGiven data:-The equation on the given curve is y=7x-63…

Q: Find and for the following function. дх ду 3 f(x,y) = x³ - 5xy - 9y²

A: Given function:- fx,y=x3-5xy-9y2

Q: Find the dimensions of the rectangular dog park split into two pens (sharing a fence ) of the same…

A: Let's find dimensions.

Q: -+-N=r; N(2)=8. dt t

A: we will find the required.

Q: In the following Differential Equations, test for exactness and determine the solution of each: 1.…

A:

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

A:

Q: Give the actual solution of dy -= 2xy² + 3x²y² if y = -1 when x = 1 dx

A: Given query is to find the solution of the differential equation.

Q: The UCSB has 8 squads of badminton players. The UCI team has 5 squads. Every squad from UCSB must…

A: Given query is to find the total number of games.

Q: Find the equation of the line. Use function notation. Horizontal​ line; through(6,-6)

A: Find the equation of the line.  Horizontal​ line; through(6,-6)

Q: 8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find…

A: After p practice sessions, a student could perform a task in T(p) = 36(p+1)3 minutes We have to find…

Q: Math 110 Course Resources Marginal Analysis & Elasticity Course Packet on elasticity of demand and…

A:

Q: Eliminate A and B from x = A sin(wt + B). w being a parameter not to be eliminated. Ox"+w^2x = 0…

A: To form the differential equation.

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: We need to graph the given functions and also need to write down the relationship.

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: 5. Find the exact value of each x = [0, 2π) for which sin (2x) = √3 cos (x). Leave answer in exact…

A:

Q: 5) For the function f(x)=3√2(x-5)+8 , state the domain and range of f(x) and f'(x).

A: Let's find domain and range of given function.

Q: Suppose f'(x)=√√/1 + 2x¹. d da -f(8x): d dx f(2x¹) = [

A:

Q: 6) Draw the graph of a function f such that f (2) = 3, f (4) = 7, the function is decreasing on the…

A: Given 1. f2=3 2. f4=7 3. Decreasing in the interval -∞, 2 and 4, ∞ 4. Increasing on the interval 2,…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A:

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient That is: If h = 0,…

A:

Q: Let f(x) = 4√ If g(x) is the graph of f(x) shifted up 2 units and left 4 units, write a formula for…

A: find the equation of g(x)

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: This is the problem related to volume calculation using integral.please find the procedure given…

Q: 7. y = √√2x² - 4x +3

A:

Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

A:

Q: f(x)=xsin(x)/1+x. Find f'(pi/2).

A: Given query is to find the derivative.

Q: Find the formula for the graph of the function f(x) given in the graph above. f(x) = 5sin(pix)+2 AN…

A:

Q: What is the probability that an officer was promoted or a woman?

A:

Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: d dx Let f(1)=2, g(1)=1, f'(1) -3, and g'(1)-4. Compute f(g(1))

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: Find the equation of the least squares line. Ten students in a graduate program were randomly…

A: The equation of the regression line is y = 3.67 + 0.0313x  Therefore the option (B) is correct.

Q: b) lim 818 c) lim 818 2x³-3x+1 3x4+7x³-2x-1 sin (x+3) X

A:

Q: .Find the position and velocity vectors of a particle that has the given acceleration and the given…

A: Given :- a(t) = 4i- 72j+ (72t + 4)k v(0) = i+ k r(0) = j+ 3k

Q: 1 c) [xln (25) dx =

A:

Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: Let's solve. Two integration statement given.

Q: 10) Solve the following and write the intervals. a. C. \7p+4\_ 8 4+3|x-1|>=10 b. d. 2-5|5m-5|=-73…

A: In this question we have to solve the following equations as per the question given. NOTE: As per…