Find the final amount of money in an account if $3,900is deposited at 7.5% interest compounded semi-annually and the money is left for 9 years.

Q: (a) ƒ (t) = €²t sin (3t)

A: This is a problem related to laplace transform. Based on the general formula and concept we will…

Q: Use synthetic division to find the quotient and the remainder. (x²-1)+(x-1) The quotient is Q(x) =…

A: By using synthetic division to find the quotient and the remainder.x4-1÷x-1

Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

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

Q: Verify that the indicated function y = y(x) is an explicit solution of the given first-order…

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Q: Solve the given differential equation. All solutions should be fou dy x6 - 2y dx X NOTE: Use c for…

A: We have to find out solutions

Q: 5 4(x²+y²) Qu/ If w = f(u, v) = cos uv, u = xyz , v = aw Prove that = 0 at the this point (x,y,z) =…

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Q: Determine whether the differential equation (7x+8) + (7y - 7)y' = 0 is exact. If it is exact, find…

A: To determine that the differential equation is exact or not.

Q: x²-100 4. lim x-10 x+10

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Q: d. the expected value of a discrete random variable For numbers 9-10, refer to the probability…

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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: Find the integrating factor e∫Pdx then find the general solution. y' = x - 2ycot 2x

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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: x TC Q2\ Find The Area under the curve Y= 4sine between X= and 2 X= π by the double integral method.…

A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: g. The line through (0.-7,0) perpendicular to the plane x+2y+2z=13 h. The line through (2,3,0)…

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Q: Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace…

A: This question is all about laplace transform.  We know that laplace transforms are as  L{y"} =…

Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

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

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Q: An 8-ft ladder leans against a wall at an angle with the horizontal, as shown in the accompanying…

A: An 8 - ft ladder leans against a wall at an angle θ with the horizontal. The top of the ladder is x…

Q: 24) Find the integration by applying (by part method) Sin ¹y dy

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

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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: B3. Find the integrating factor by inspection then solve.  ydx + (x + x4y2)dy = 0

A: Let's solve given diffrential equation.

Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

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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: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: X xy of fr [²2/1/ ex None of the choices. The value of a. b. 0.07 c. 0.08 d. 0.05 0.06 e. dy dx is…

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Q: A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x…

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Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: e will examine two procedures in the use of partial integration (See image) a) Procedure 1: Derive…

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Q: d [x2 + dx|x4 d dx [(x2 + 1)50]

A: To evaluate the following.1 ddxx2+1x4-12 ddxx2+150

Q: x+2 lim x-2x²+4x+4

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Q: Compute the value of representation ³√√√3-i in exponential representation and polar

A: Given :3-i3

Q: f Cos5x dx

A:

Q: A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of…

A: It is givne that, A car-sharing service offers a membership plan with a $50 per month fee that…

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: Example: If w = f(x,y), find d²w dr² x = et, and y = 2t - 1

A: Here, w=f(x,y), x=et, y=2t-1

Q: = [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying…

A: Given problem:- J = ∫ (23x)n e10x dx

Q: Solve the differential equation (24xy + 40y²) + (8x² + 40xy)y' = using the integrating factor µ(x,…

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

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Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: The population of a certain country (in millions) at time in years) is P(t)- 2e when f-0 is the year…

A: Follow the procedure given below.

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: 1. Consider the following statements: 1 I. 27x+3, 27x - 11, and 27x+ are antiderivatives of 27. 7…

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Q: 3.. cos(x) is not an odd function O True O False

A: Given query is to find statement is true or false.

Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

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Q: Consider the function: sit > 5 f(t) = -{² 3t si 0 ≤ t ≤ 5 To calculate £ {f(t)} using definition you…

A: We have to find laplace of given function.

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

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Q: Find the derivative y = x tan^¹x − In √√1 + x²

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