$7000 is deposited in an account earning 8% interest compounded continuously. Use the continuous interest formula below to determine how long it takes for the amount in the account to double. Round answer to 2 decimal places. A = Pert years.

Q: 4. Solve the system of equations using augmented matrix methods. x ₁-2x ₂ = 1 2x₁ - x₂ = 7 ==

A:

Q: #7) Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A:

Q: 2. Find a particular solution Y(t) of y"" — 2y" — y' + 2y = t

A: see below the answer and calculation

Q: Find the general solution in the form y = yc + yp. y'' + 4y' + 5y = e-2tcost

A: y'' + 4y' + 5y = e-2tcost Find genral solution

Q: Problem # Perform inverse Laplace. of the functim 5S M(6) = 5²' (0-²35-0²-5³5) (e s

A: L-1(e-as/s)=H(t-a), H(t) is unit step function and a is any scalar.

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: how do we set the partial fraction decomposition?

A:

Q: #3) Find the derivative of the function. y = 2-5x

A:

Q: Use Laws of Logarithm to evaluate the expressions. (a) log3 (81) = (b) - log4 (16) = Use Laws of…

A: The give logarithm expressions, a) 14log381b) -12log416c) log3xyd) log29x2y3 We have simplify the…

Q: Compute the directional derivative of fat the given point in the direction of the indicated vector.…

A:

Q: 7. Determine the following general antiderivatives. [3x (x²-5)³ dx a. C. [4x²+tan n (ex²+7) dx 10 b.…

A:

Q: Suppose that the temperature of a metal plate is given by T(x, y) = x²+2x+y², for points (x, y) on…

A: Given: The temperature of a metal plate is given by T(x,y)=x2+2x+y2 for points (x,y) on the…

Q: Sketch the region enclosed by the curves x = 3y² and a || y² + 4. List the points of intersection of…

A: We need to sketch the region and point of intersections and also the area bounded by the curves.

Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

A: Solve the given

Q: y² Consider the paraboloid f(x,y)=4- and the point P(6,0) on the level curve f(x,y) = 0. Compute the…

A: I am attaching image so that you understand each and every step.

Q: For the first equation, does 10 represent a and 53 represent b in the function f(x)ab^x? For the…

A: After seeing the previous solution, we observe that there is improper explanation to understand the…

Q: Evaluate the limit or determine that it does not exist. (Give an exact answer. Use symbolic notation…

A:

Q: For the function f(x) = -3 sin(x two periods. Enter the exact answers. For the number 7, either…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5y" + 4y - 4 = t sin t

A: Let's solve given diffential equation.

Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

Q: Provide your answer below: f'(x) =

A:

Q: 3. Consider the curve defined by xy² - 2x³ = 2 for y ≥ 0. a. Find dy Write an equation for the line…

A: Topic:- application of derivatives

Q: Given the function f(x) = 6x² - 3x + 1. Calculate the following values: f(-2) = f(-1) = f(0) = -…

A: The function is given by fx = 6x2-3x+1       To evaluate: The values of f-2, f-1, f0, f1, and f2

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with −5 ≤ x, y ≤ 5. 1. The critical point of f(x, y)…

A:

Q: Sketch the region enclosed by the curves y = 4x and y = x² - 21. List the points of intersection of…

A: see below the graph and below

Q: 4. You need make an open rectangular box (i.e. no top) with square base that can hold 13500 cm³ of…

A:

Q: 3. Sketch the graph of a function f with the following properties: x f is not continuous when x = 4…

A: We have to sketch the graph of a function that has the properties, f is not continuous when x=4 but…

Q: what is an improper integral?

A:

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1₁-0 dv

A:

Q: 1. If x + sin y = In y, then dy

A: Topic = Derivative

Q: 5 12 2. On the unit circle, if the point P 13'13 exact values of the 6 trigonometric ratios? lies on…

A:

Q: Question 1 10-9-8-7 -6 -5 4 -3 ▸ Write the equation for the function graphed below. Use smallest…

A: From the graph we can see that x=-2,2 are vertical asymptotes of this graph as x tends to -2(or 2)…

Q: To evaluate 26 sin(x) da we can apply integration by parts x6 times. We set u = on the first…

A:

Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

Q: Describe the triangular region whose vertices are at (0, 0), (1, 0), (1, 2) as set in the polar…

A: Answer is in step 2.

Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

A:

Q: Show and explain all work!!!!!

A:

Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: Question Find the actual value of t 1 dx, then 3√x approximate using the midpoint rule with four…

A: Here we have given a definite integral now we have to solve this by using midpoint rule. And also we…

Q: (a) For what values of r does the function y = ex satisfy the differential equation 7y"+ 20y' - 3y =…

A:

Q: Write the equation in its equivalent logarithmic form. 8³=512 What is the equivalent logarithmic…

A: See this solution in below.

Q: 2 Find the actual value of ²1 dx as well as an approximation subintervals. estimation? using the…

A: The given integral is ∫12 1x dx

Q: Evaluate the expression without using a calculator. 10 log 34 10log 34 = ●

A:

Q: Evaluate the following definite integral: 1 1-√t √t dt

A: To evaluate the given definite integral.

Q: Find and classify the critical points of f(x, y) = x³ + 3xy + 4y². Local maximums: Local minimums:…

A:

Q: tan( e + 4 ln(z))

A:

Q: Make a sign diagram for the derivative of the rational function. 8 x² + 4 f(x) ---Select--- relative…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find a particular solution Y(t) of y"" — 2y" — y' + 2y = t

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, write the…

Q: Consider the graph of y = f(x). -8-7-6-5-4-3-2-1 " (b) lim f(x) = 112 (c) lim f(x) = *→-2+ Do cy m…

A: find the limits from the function graph

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim X-3 3-X…

A: Givenlimx→ 3-3-x3-x