Suppose you deposit $6000 at 6% interest compounded continuously. Find the average value of your account during the first 2 years.

Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

A:

Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: g'(2) = g(x) = x + 4

A: dxndx=nxn-1g(x)=x+4x2g(x)=x+4x-2

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

A:

Q: 1. adß+ ßda+aß(3da+dB) = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Function Decomposition: Find functions f and g such that fog(x) = sin (1). f(x) = g(x) =

A:

Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A:

Q: Given the following vectors, calculate −9v u=(-8,-4), v=(3,-2)

A:

Q: Using the first two terms of the Maclaurin series for sinx gives sin 40°, as an approximation to 3…

A: We need to find approximate value.

Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

A:

Q: Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

A:

Q: 구 s2+75+16)

A:

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given   N (t) = 0.5 + 1.1 e 0.01t The relative rate of change RRC = f’ (t)/f (t). (1.1)(0.01)e0.01t…

Q: 1 (6405 #3 p. 320) Let R denote the region bounded by the curve y = the y-axis, the z-axis, x² +1…

A:

Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

A:

Q: 8) An investment of to 358.24 in 8 year 350 in blue chip stocks grows months. if this growth rate…

A:

Q: when 36 = 5a 120 = loa 434 = lo b + 3o c + 3ob + 100 c loob +354C + 30a + ving equations by the…

A: Topic:- application of algebra

Q: 6) logg√3 7) log₁6 8) log4 8

A:

Q: Solve the Bernoulli's equation, y dy = (x - y²) dx

A: Given that , ydy=x-y2dx Solve the Bernoulli's equation.

Q: Use an inverse matrix to find the solution to the system. Find the inverse of the coefficient…

A:

Q: 5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

A:

Q: Find dy/dx by implicit differentiation. ex²y = = x + y

A:

Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.

Q: Find f'(X) given that F(x) = ∫x2 sqrt(2+e^(3t))(5)/(lnt^(2))dt

A: To find f'(X).

Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

A:

Q: Solve the initial value problem. dy 27) dx = x(6+x²)²₁ y(0) = 0

A: Given query is to solve the differential equation.

Q: If f/u) = sinu; then (fog)'(3) = ? B) 1 = g(x) c) 6 10 kone E) None D) 9 A hind S'hospitals

A: f(u)= sin u u=g(x)=x2-9 To find (fog)'(3)

Q: 19 5-2 3s+5 + н 85

A: To find the inverse Laplace transform.

Q: (a) Find the polar representation(s) of the following point written in Cartesian coordi- nates: (x,…

A:

Q: Given the following vectors, calculate 5u + 3v. Answer u = (7,0), v = (-8, 10)

A:

Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

A:

Q: The angle addition formula for sine is sin(a+ß) = sin a cos ß ± cos a sin ß. Use this formula to…

A:

Q: Find the curvature of the curve r(t) = (-3t, – 5t5, – 3t¹) at the point t = 2. Give your answer to 2…

A:

Q: Find the second derivative of the function. 8) s= +7+5t+3 ₁2

A:

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A:

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: Evaluate each of the x³ X fed dx x² (a)

A:

Q: Use the graph of y=-x² + 3x + 10 to help you solve -x² + 3x + 10 ≤ 0 There is no work to be shown…

A: Consider the graph of the funtion

Q: Express the limit as a definite integral on the given interval. lim [6(x)3 - 3x,"]AX, [2, 7] n→∞ dx

A: NOTE: Refresh your page if you can't see any equations. . here the given function is  and the…

Q: Question What are the critical points for the plane curve defined by the equations x (t) = y(t) =…

A: Criticle point

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Evaluate 15 C3.

A:

Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…