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Q: Given the differential equation, d'y dy -3x +4. dæ + 3y = e sin (), the proposed particular - dx? so...

A: We have to find the value of B. 

Q: Identify the graph corresponding to the following function (t 0): y =tu (t – 1) – tu (t - 3)

A: solution is given below

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx = 12+36

A:

Q: (V- 1)2 Evaluate dx by two methods: (a) Expand (Vx 1) and multiply the result by x-1/2: (b) let u = ...

A:

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 34 cm to a length ...

A:  4 J of work is needed to stretch a spring from its natural length of 34 cm to a length of 48 cm. (a...

Q: 9) If a cup of coffee has temperature 95° C in a room where the temperature is 20° C, then, accordin...

A: topic - definite integral

Q: x^2y' + xy = 2 + x^2

A: x^2y' + xy = 2 + x^2 write the final answerin terms of x and C combined equated to y

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

A:

Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And...

Q: Find the intersection of the plane: x - z = 6, and the line r(t) = (1,0, -,1) + t(4,9,2)

A:

Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, ...

A:

Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

A:

Q: 2.4 2.5 2.6 2.7 2.8 1248 1571 1977 2489 3132 Estimate h' (2.6) using the table above. h'(2.6)

A: First order central difference algorithm approximate the First order derivative using formula       ...

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5an20 elan 20 sec? 2 Bdß

A:

Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

Q: The Laplace transform of a constant, k, is valid for

A: The Laplace transform of a constant k, is valid for ______

Q: x dy -ydx -Vx²_yz dx =0

A:

Q: If the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (...

A: The solution are next step

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A:

Q: siny+ tan y = siny %3D 12. 1+ secy

A:

Q: f(x+h)-f(x) 1. Let f (x) = Vx find the derivative of the function using the formal definition of the...

A: Given f(x)=xTo find derivative of f(x) usingf'(x)=limh→0f(x+h)-f(x)h

Q: Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular...

A:

Q: L{(1+t")e*3t}=

A:

Q: A resistor of 500 ohms and an uncharged 5 x 106 farad capacitor are connected to a 100-volt battery....

A:

Q: The definition of the error function also defines an "error term" E(1, y). Find E(x, y) for the func...

A: We need to find error function.

Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x - ...

A:

Q: Given the differential equation (2D² – 3D+1) y = csc(2rx) Propose an appropriate particular solution...

A:

Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six di...

A:

Q: P2.B: Evaluate the integral: (x+ 1)/2 J (x – 1)5/2

A: Evaluate the integral ∫x+112x-152dx

Q: 277 1 cV2-2 dz r dr d0 O Jr

A:

Q: d*y The equation da4 4y 1+ ( is 72 dx O linear and ordinary O linear and partial O nonlinear and ord...

A: Here we have to find the type of given differential equation.

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A:

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: We have to find the differential equation that models the system.

Q: Express the differential equation d?y dy 30y = 0 - dx? dx in differential operator form. O (D – 5) (...

A:

Q: L{(1+t")e }=

A:

Q: P2.A: The integral of the following function: r In(sin2 x) dx tan(x) may be expressed as: A ln3 (sin...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic. = Volume

Q: 2 dy + x da The differential equation g3. - 5y = e" is: %3D O linear and second-order O non-linear a...

A:

Q: In the study of population dynamics one of the most famous models for a growing but bounded populati...

A: We need to find P(t).

Q: Find the inverse laplace transform of F (s) = 3se-s s2+16 f (t) = cos(4t)u (t + 3) ° f (t) = 3 cos(4...

A: We will find the inverse laplace transform of the given function.below find the solution in the imag...

Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: If f)=6X+12, hind the slopeof the secaut line between the values of X,= -5 and Xa = - 6- %3D

A: The given function is: fx=6x+12 To find the slope of the secant line between the values of x1=-5, an...

Q: en differential equation by using an appropriate substitution. The DE is ho + (x + Vxy) dy = 0 %3D

A:

Q: dw 5. Ve200 -1 sece"

A: We have solve to evaluate the integral

Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in ...

A:

Q: Solve the radical equation. Check all proposed solutions. V2x + 19 - 8 =x Select the correct choice ...

A:

Q: Use the graph to determine the following. AY a. the function's domain b. the function's range c. the...

A: Topic:- function

Q: Use the limit definition of the derivative to find the instantaneous rate of change c f(x) = 4x + 7x...

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+ xcotx) ...

A: