Qu 4 Using an operator , solve the following differential equations d²y dy a) dx² 10 + 25y = 0 dx

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A: we want to find the domain of given  function 

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A: let  an=n9n

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A: By using the synthetic division to determine we have to check whether x-c is a factor of the given p...

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Q: Evaluate the indefinite integral. sec (0) tan (0) de

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Q: * Profer fies of Dete If (Alis square matrix e If eveay allelemets in aone Veead or co of cAi are Ze...

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Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the grap...

A: You can use disk method here to find the volume of revolution.  ⊙ The volume of rotation of y =f(x) ...

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Q: Given the graph below, determine if the function H(x) is continuous at the following values of : 1. ...

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Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the poi...

A: The objective of the question is determine the equation of the tangent line.

Q: Follow the steps to solve the initial value problem: 2ty – 2y = t5, y(1) = -1. a. Identify the integ...

A: Rewrite the differential equation into linear differential equation and then solve it.

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A: An observer standing at a height of 96ft on a light house  The angle of depression of the buoy is 22...

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Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

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Q: On a particular lake, the difference between high and low tide is 6 hours. At low tide, 6 a.m., a st...

A: Answer is in step 2.

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Q: The function f is defined by the following rule. f(x) = 2* Find f(x) for each x-value in the table. ...

A: Find inverse of L. Let x=L(t) 

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A: This is a problem of vector calculus. By using stokes theorem formula we will evaluate given integra...

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Q: 7х - 18 x2 +1 sin x2 – 3x Find the natural domain for f(x) = + 2x + х — 1

A: Natural domain defined

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A: Given that gu=u+1u∫gudu=∫u+1udusolution:let, u+1=xdu=dx∫xx-1dx∫x-1+1x-1dx∫1+1x-1dx

Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

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Q: Hannah deposits $1,100 at the end of every 3 months in an RRSP that is earning 6.60% compounded semi...

A: Given: Data is given

Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 cose = 4/5 -3/5 3/5 -4/5

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Q: Qu 1 Using the separation of variable method, solve the following differential equations in a). and ...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

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Q: 3 x2 dx 4

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Q: Evaluate the integral: dx +. +c. B) Inx+ v-이+c. c) 3Imx + v-이+c. D) +c. ) 2( - 9)+c.

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Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: Some birds fly more slowly over water than over land. A bird flies at constant rate of 6 km/h over w...

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Q: By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)...

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Q: $81,000 business can be purchased by making a down payment of $16,000 and ancing the balance with a ...

A: Given query is to find the time taken to paybthe loan 

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Q: Hotel rents 210 rooms at the rate of $40 per day. For each $1 increase in the rate, three fewer room...

A: Given query is to find the rent of the room to maximize the revenue.

Q: Use the difference an+1 - an to show that the sequence {n – 10"}" n=1 is strictly increasing or stri...

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Q: Using Figure 4, complete these functions. P(-20, 21) a Figure 4 cose = -20/29 21/29 -21/29 20/29

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: Problem 6: Solve the differential equation to find x(t) solving the initial value problem. Please be...

A: Given that the system of differential equation.first of all we find the eigen value and eigen vector...

Q: Use the Intermediate Value Theorem to show that 2x – 3 - if – 3 0 has a zero on the interval [-2, l...

A: First compute the function if they are continuous then apply the intermediate value theorem.

Q: :| y*dx – yz*dy – sen(z)dz, where C'is the Calculate path connecting the point A(-2, 2, 4) to the po...

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Q: Using Figure 1, complete the following function. u Figure 1 sece = v/r v/u u/r O r/u r/v u/v

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Q: 1 3 Let f(x) and g(x) + 2. %3D - с — 2 | Find the following functions. Simplify your answers. f(g(x)...

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Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t² – 1)3 2( 22 – 1)2[202² + 90t – 1] h'(t) =...

A: In your solution please replace x to t