Express the solution of the given initial value problem in terms of a convolution where g(t) is an arbitrary function.

Q: y=4(x2−4x)−5 Find dy/dx

A:

Q: Which of the functions graphed in Exercises 1-6 are one-to-one, and which are not? 1. 2. y = -3x y…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: f (s, t) = S s² + 1²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate the integral: 0x = 10 tan (0) 10 sec (0) 100 sec (0) (A) Which trig substitution is correct…

A:

Q: Straight-line Depreciation Suppose that a company has justpurchased a new machine for its…

A: Note:- Slope intercept form of line: y =mx +b             Here, m is the slope of line.   Given…

Q: f6sin(x) cos(x)'dx.

A:

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: I. Consider the following matrices: 2 7 B=-3 2 A = [5, 6] 2 61 -3 2 D=12²8³) -8 If possible,…

A:

Q: Let f(x) be an invertible and differentiable function on (-00, ∞o). Find (f-¹)/(3) if you know the…

A:

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: The foci of the hyperbola is -6,1 and -6,-9 and vertex at -6,-1.

Q: a. Graph the function ƒ(x) = sqrt(1 - x2), 0<= x <= 1. What symmetry does the graph have?b.…

A: The given function is: f(x)=1-x2,0≤x≤1. It is required to find the symmetry of graph.

Q: Initial condition. 14. Differential equation: Initial condition: dr dt r(0) = i + j = (t³ + 4t)i +…

A:

Q: 4. y = x²(cos(lnx) — sin(lnx))

A:

Q: A tank has the shape of an inverted circular cone with height 10 m and base radius 6 m. It is filled…

A:

Q: The demand function for a certain brand of compact discs is given by where p is the wholesale unit…

A:

Q: 22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

A: The given figure is:

Q: Three partners (Jessica, Kyle, and Lorri) invest in a business in the ratio of 7, 23, and 14. How…

A:

Q: 27x³y6z¹2) 3/ 12-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

A:

Q: Evaluate the integral: (A) Which trig substitution 36 sec (0) X = X = 6 sec (0) X = 6 sin(0) ○x = 36…

A: The given integral is  ∫36-x24x2dx

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 800…

A: We use the second derivative test to find the largest possible parking lot with 800ft of fence and…

Q: 5) consider the indefinite integral [cos ³ (x) dx. Explain why the Substitution U = COS (x) will not…

A:

Q: 4x² . Let y=f(x) = 4x+1

A: Topic:- application of derivatives

Q: 1. Let y=f(x)=x² 4x + 1 (a) Use the definition of the derivative to find the derivative f'(x). No…

A:

Q: f(x)=(lnx)^2 f′(x)= f′(e^2)=

A: Topic- Derivative of a function We are given, f(x)=(ln x)2 We know that ddx(ln x)=1xddxxn=nxn-1

Q: Find all vertical and horizontal asymptotes. 101 y 5- -10- Vertical Asymptote(s) Horizontal…

A: A vertical asymptote is a vertical line along which the function goes towards infinity or -infinity.…

Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (b) ▼ ƒ(6, π) = sin 2y (a) ▼ ƒ (x, y) = cos(…

A:

Q: iven function subject to the stated constraint. If appropriate, determine if the extrema are global.…

A:

Q: Use the given function to complete parts a) through e) below. f(x) = -x²+x² ... a) Use the Leading…

A:

Q: a. f(x)=²x-2 g={(1,-1),(-1,1), (2,3), (-3,2), (6,2), (-2,0), (0,√3)} h(x) = √2x - 1 b. g C.

A:

Q: A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25…

A: Given the initial volume is 2500L of 50% solution.

Q: y=4(x^2-4x)^-5 Find dy/dx=

A:

Q: 1. Let y=f(x)= 4x² 4x + 1

A:

Q: 10. x dy dx = y + √x² = y²₂ x>0

A:

Q: If lim x approaches 1 ƒ(x) = 5, must ƒ be defined at x = 1? If it is, must ƒ(1) = 5? Can we conclude…

A: Given that If x→1 f(x)=5limit approaches 1 f(x)=5, must f be defined at x=1? If it is, must f1=5 .

Q: Use the intermediate value theorem to show that the polynomial has a real zero between the given…

A: Given function:- fx=x3-5x+8

Q: Find the slope of the line through P and Q. P(−1, 4), Q(0, 0)

A:

Q: Are (-7,6,4,-8) and (-35,30,20,-40) homogeneous coordinates for the same point in R³? Why or why…

A:

Q: Please show your work. It must be clear how you obtained your answer. 1. Evaluate the following…

A:

Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: 17. Find the limit. x+5 lim 2 x-5x + 6x + 5 x+5 lim 2 X-5x + 6x +5 (Type an integer or a simplified…

A: limx→ -5x+5x2+6x+5

Q: In Exercises 57-64, solve for t. 57. a. e0.3t = 27 b. e = c. In02 = 0,4 %3D 58. a. 0.0l = 1000 b. c.…

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

Q: The graph of the polynomial f(x) is given below. If f(x) has degree 3, find the factored equation…

A: One root is -2 and this graph touches the x-axis at x=4 so this is repeated root of f(x)

Q: (26-29) The graph of f' (the derivative) is given: pts each) 26. Identify the open interval(s) where…

A: According to our guidelines,i can solve only first three subparts only,please reroute the remaining…

Q: Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in…

A:

Q: The amount of expenditures on national defense by a certain country (in billions of dollars) can be…

A:

Q: If y is a function of x such that y'>0 and y">0 for all x. Which of the following could be part of…

A: Given,        It is given that y'> 0 for all x and       y''>0 for all x.

Q: how do I post the second part?

A: Solution

Q: PROBLEM: Find the differential equation of the family of hyperbola with center and transverse axis…

A: Solved below

Q: Variables

A: