Find the solution of the equation correct to four decimal places. e1+ 4x = 160

Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: To receive credit, all work must be completed and shown on the assignment paper. 1) A rocket will…

A: Given:

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

A:

Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

A:

Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

A:

Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

A:

Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

Q: Find the solution of the given initial value problem 50y" + 15y"+y' = 0, y(0) = -2, y'(0) = -10,…

A:

Q: How much money should Nicholas invest today into a fund that earns interest at 4.75% compounded…

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: 2 [ 2e sin de

A:

Q: Apation car is parked 65 feet from a long warehouse (see figure). The revolving light on top of the…

A:

Q: Given f (x) = 4x²-3x + 2. The slope of the normal line to this curve at the point (1,3) is O-5 5…

A:

Q: The area A = ² of a circular oil spill changes with the radius. At what rate does the area change…

A:

Q: 21. a. e x = sec sin z sin z) (e sin b. Ve Cos 2sinz 1 U e sin z COS d. cos x √1-e2sinz

A:

Q: Find the solution of the given initial value problem. 5y""+65y-580y = 0; 11, y'(0) = 31, y"(0) =…

A: A detailed solution is given below.

Q: Question vector equation r(t)=. Show that the point Let C be a curve defined by the P(-5, 11, ¹) ies…

A: Solution of given question is written in below steps.

Q: If f(x) = 1 4x - 1 384 (4x-1) 24 (4x - 1)¹ 24 (4x - 1)4 384 (4x - 1)¹ -, then what is f"" (x)?

A:

Q: Evaluate the definite integral given below. 2 [ ²³ ( -5x ² + 2x² ) dx

A:

Q: Find the moment of inertia about the x-axis of a thin plate with density 8=1 bounded by the circle…

A: Given: The density of the plate =1 The plate is bounded by the circle =x2+y2=16

Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: A rectangular tank with a square base of 2 meters and a height of 4 meters is half filled with…

A:

Q: In one town, the number of burglaries in a week has a mean of 4.7. Find the probability that in a…

A:

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

A:

Q: Question vector equation Let C be a curve defined by the r(t)=. Show that the point P(-5, 11, ½)…

A: Solve the following

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: To find the value of dy/dt in first case and value of dx/dt in second case.

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

A:

Q: Find the area between y= |x|^y=2-12x₁

A:

Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: Q[1]: Given the function shown below, evaluate the following: (a) lim f(x) x-2' (b) lim f(x) x-0 (c)…

A: Graph of the function f(x) is given, we have to find the limit at x=-2, x=0 and x=2

Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

A:

Q: You plan to save money for a down payment of $38,0 can only afford to save $6,000 at the end of…

A: Topic:- compund interest

Q: 1 How many Os are in the product of 4 x 100? 4 X 1,000? 4 x 10,000? How do you know

A: We have to find out zeros

Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

A:

Q: 8 A ITI system is described by the D.E. y +6 Y+8y=2XL)_ -2t find h(t) then find y(t) if X(t) = te²t…

A: First solve homogeneous then non homogeneous part

Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h = if f(x)=x² +5. (Simplify your answer.) ...

A:

Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 8 Σ n=1 n!…

A:

Q: Find a potential function f for the field F. F = (4y + 5z)i + (4x + 3z)j + (5x+3y)k A general…

A:

Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…

A:

Q: 12) Find the area Under the curve y = e = from X=0 to

A:

Q: Let R be the region bounded by y = 4 – x², the x axis and the y axis. 3 2 1 = The solid obtained by…

A:

Q: Use the graph below to fill in the missing values. -1 4 3 2 1 -1 f(0) f(x) K = 1 2 3 4 f(x)=0, x=…

A: