Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Right Side of the differential equation. A D (D+ 8)3 B D$ (D + 8)3 D (D + 8)2 D6 (D - 8)3 D6 + (D + 8)3 F D$ + (D - 82)

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

A:

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f(t) = 2e sin 4t,...

A: Let's find. 

Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16 ...

A: Topic   = Integartion

Q: Evaluate (in the picture)  Then, write the coefficients of the integrals: Blank 1 cos3t + Blank 2 c...

A: Given that: ∫(sint.cos2t)dt

Q: For each of the following functions, find the indicated derivative using the definition. Note must f...

A:

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: Evaluate the integral fw(2w +3)² dw A.) w+4w3+w² + C B.) w+2w3+9w² + C C.) w2(w²+4w+9/2) + C D.) 2w ...

A:

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: dy (x + 1)+ (x + 2)y = 0 dx

A: Follow the procedure given below.

Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...

A:

Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: The given problem needs the fırst derivative. Find the first derivative. a² x Y= a2 + x

A: Here we have to find the first derivative of the function. dxndx= n xn-1

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an ang...

A: We can find the value of h as below.

Q: Write the range in interval notation. Represent the gap with a "U". Find lim (secx) Find lim (secx)

A: We will graph the function and find out the range. 

Q: 11. Find the total area between the parabola y = x² – 4x, the x-axis, and the ordinates x = -2 & x =...

A: Here we have to find the total area between the parabola y=x2-4x, the x-axis and the ordinate x=-2 a...

Q: Explain what it means to say that: lim, h(x) - o and lim h(x) x →5+ – 0.7. x →4 As x approaches 5 th...

A: According to question,Given limits,limx→4 hx = -∞,andlimx→5+ hx = -0.7,

Q: Solve each equation for x. (For each answer, enter an exact number. (a) e5x + 9 - 4 = 0 X = (b) In(4...

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Q: What should be the rewrite of the integrand of f dx so that the resulting integral is integrable? x2...

A: solution:-∫2x+52x2dxnow,2x+52x2=4x2+20x+25x2              =4x2x2+20xx2+25x2              =4+20x-1+25...

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

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

Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: What is the equation (mathematical expression) for a hollow sphere with center at the origin and rad...

A: According to question,Given,Center of hollow sphere =Origin 0,0,0,Radius = 10

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: Linear differential equetion with constand coefficients -メ ダーンツ e

A:

Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure o...

A: we have to determine degree 

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10. ...

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10  

Q: In Problems 59-66, use the price-demand equation to find the values of p for which demand is elastic...

A:

Q: (b) Given the first-order differential equation as below: (x² +3y² +5)dx+(6xy +6y+3)dy = 0 (i) Ident...

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A:

Q: Skatekthe region enclosed by the given curves and then find the area of the region. y = cos(72), y =...

A: The region is bounded by the curves  y=cos(7x) ,y=0,x=π14 ,and x=π7

Q: Question 1: When working with rational functions of the form f (x) = P(z) what information can you 2...

A: We can find domain of f(x)   

Q: Given the differential equation y" - 4y' + 4y = - 3x2 e-5x Find the Differential Operator for the Le...

A:

Q: Bray?) da (y ) (x+zy+3)da - (2x-4+1)dy =0

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: 5. If f cb 5dx + 4 V8x? . = 2, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

A:

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

A:

Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

A:

Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: Find the slope of the curve at the indicated point. find the equations of the tangent and normal lin...

A: Follow the procedure given below.

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A: Given problem

Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.) [(3cos...

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

A:

Q: Given an ordinary differential equation in the form: (xy + y² + y)dx – (x + 2y)dy = 0 (Eq. Test the ...

A: According to question,Given Differential equation,xy + y2 + y dx - x + 2y dy = 0

Q: (D² – 2D + 1) y = e*/x3

A: Given ,(D2-2D+1)y=exx3The A.E. is, m2-2m+1=0(m+1)(m+1)=0⇒m+1=0 or m-1=0⇒m=-1,-1Therefore C.F.=(C1+C2...

Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

A:

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

A: