You deposit $2000 in an account earning 4% interest compounded quarterly. How much will you have in the account in 10 years? Round your answer to the nearest cent.

Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

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Q: Find the cumulative density function for the given probability density functio k(x) = 1.4 e 1.4x,…

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Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: Evaluate 5² dV where E is the region below zx +2y + 4z = 8 in the first octant. Da B

A: Given problem:- Evaluate  ∫∫∫E  5x2dV where E is the region below x+2y+4z=8 in the first octant.

Q: A student club is selling t-shirts for Thon every weekend. They found that when selling the shirts…

A: The demand function is linear here as the demand increases on price increases

Q: (c) Find the Inverse Laplace transform of the function. 1 s² + s-5 H (s) = (s−2)² +3 s (s² + 2s + 5)…

A: Given H(s)=1(s-2)2+3+s2+s-5s(s2+2s+5)To find Inverse Laplace Transform.

Q: Determine the global minima and maxima of the function: ƒ (x, y, z) = x + y² + = (x + 1)² on the…

A: We can use Lagrangian multipliers: Here, the function to be optimized is fx, y, z=x+y2+12z+12. The…

Q: 5. Determine the area below f(x) = 10 - 2x² and above the line y = 3. 6. Determine the area bounded…

A: Given problem:- Determine the area below f(x) = 10 - 2x2 and above the line y = 3

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Follow the procedure given below.

Q: Use any method to determine whether the series converge. 9 (2) Σ k=1₁√√k +1 This series (b) Σ k=1…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y'' − y' = et cos t,    y(0) =…

A: Given :y'' − y' = et cos ty(0)=0, y'(0)=0

Q: Determine whether the series converges, and if so find its sum. Enter the exact`answer as an…

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Q: Find the integration by using Partial fraction method x² + 2x + 1 (x² + 1)² dx

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Q: x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on…

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Q: (3 - x) dx is equal to ° S (3 − x) dx + ["' (3 + x) dx °₁ (3 - x) dx ° L₁ (3+2)dz + f (3-2) x) dx x)…

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

Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: Consider the solid shown in (Eigure 1). Suppose that a 49 in., h-343 in. Figure 1 of 1 x³0 Y Part A…

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Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the…

A: Given :d61dx61sinx

Q: 6. lim x-3 x2+4x+3 x+3

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: 1.tr Y= 4 In ( In (In(sec(x)) then Y 14 (lan)! In ((In (sec)) In (sex);| O True O False

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Q: Which of the following gives the area of the region enclosed by the line y = -x-1 and the parabola…

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Q: 15 9- (e' +In y)dx + (+)dy=0 y 10- x(1+e')dx+(x² + y²)e'dy=0 n

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Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: We have to find the solution of given D. E.

Q: Sketch the graph indicating maxima, minima, asymptotes and inflection points for the x² +1 function:…

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Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: Problems: Solve the following differential equations: 3- (2x+y)dx+(x-2y)dy=0

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y = 2rsine

A: Here, the total derivative rule used is: z=f(x,y)=x2y2 & x=2rcos θ , y=2rsin θ

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: 2. (xy² + y - x) dx + (x²y + x-1)dy = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: /5 too dr Vx-1

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Q: Use the method of variation of parameters to solve the differential equation d'y kdy - re dx2 dx and…

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Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: Q2/Examine the following surface for maximum, minimum, and saddle points z = x² + y² + xy + 4x - 4y…

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Q: All Operations With Decimals 4 Mario wants to increase his daily mileage by four tenths of a…

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Q: ۔ ۔ میرا میرے = 3 422 + 81(1 + 2 )2 dy .dz

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Q: 11

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Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

A: L

Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

A: Here given that, F is an antidervative of f, so we have to find the value of ∫0bf(x)dx=?

Q: Find the area of the surface generated by revolving the curve y = 2√x, 1 ≤ x ≤ 2, about the x-axis.…

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Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

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Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.