Given G(t) = 8 − 6t, write  G(−4 + h) − G(−4) in simplest form.

Q: 4* = 32x+1 is: The value of X in this equation

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Q: Find (a) The constant K (b) P(X> 1) (c) P(|x|<3)

A: To determine the value of K we will use the fact that the integration of pdf f(x) over whole range…

Q: + Isgn(-2.4)| + sgn(-0.2) = 2 T F

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

Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: Solve for y: Ax+ By= C

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Q: 6. y = x2 is a solution for which differentia

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Q6. Find the general solution using variation of parameters of y" + 4y = 8tant

A: We have to find the general solution of the given differential equation. For this, we will consider…

Q: b) Simplify TV²R and combine your result with that in Part(a) to show tha V² f – 100r² f = kf where…

A: Given, fr,θ=RrTθRr=r5e-5r2 and Tθ=sin5θ Part(a): 2D Laplacian ∇2 given by,…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

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Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

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Q: Solve the equation g(x)=−6 for x if g(x)=−0.6x2+x+4.

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Q: Solve the equation for x, where x is restricted to the given interval. csc 4x, for x in -.0) (0 8

A: Given, y=14csc4x for x in -π8,0)∪(0,π8  Take y=14csc4x Multiply with 4 on both sides, we get…

Q: The revenue for selling x units of a product is R = 150x. The cost of producing x units is C = 125x…

A: Given: The revenue for selling x units of a product is R = 150x. The cost of producing x units is  C…

Q: d²y from the following dx2 Solve 1. y = 8x* – 12 x° + 6x² – 9 2. y= (4x-9)?

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Q: Find the General Solution y' = 1+3ytanx

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: (5x2 – y²) dx + 2ydy = 0

A:

Q: For a given rabbit population, the relationship between the number of adult female rabbits, F, and…

A: Given, The relationship between R and F is   R = 3+350FF+625 We have to solve for part 1  and part…

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: A. Obtained the general solution. 1. (D2 – 6D +9)y = e*

A: In this question we have to find the general solution.

Q: Determine the general solution: y' = x - 2y. *

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Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

Q: A company finds that the revenue R generated by spending x dollars on advertising is given by R =…

A: To find: The value of dRdx at x=1500. Given: The revenue generated function is R=1000+80x-0.02x2.…

Q: The percentage of P doctors who accept a new medicine is given by P(t)=100(1-e^-0.16t) Where t=time…

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Q: Find the particular solution x²y' + y? + 7xy + 16x? = 0 ;when y(1) = 1

A: To find the particular solution for the below differential equation. x2y'+y2+7xy+16x2=0,  y(1)=1

Q: The time, t, in weeks, needed for the population of fireflies in a field to reach p individuals is…

A: t(p)=45ln[10,000/(18,000-p)] We have to find the population, p when t = 5

Q: dx x2V9-x 2. S(6x³ + 3x?) e*4x d=

A: Only I do que 1 and 2

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: (5) The profit for Cocoa Board cocoa beans is given by Π(x)= −15x^2 + 180x − 405 thousand…

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Q: Find the particular solution to the following using the variation of parameters technique: (a)…

A: Hi! As per norm we will be answering only first question. Kindly re-post for the solution of the…

Q: Solve y - y1 = m(x - x1) for x.

A: The given equation is, y-y1=mx-x1. The objective is to solve the equation for x.

Q: Solve the equation for y: ax + by = c

A: We have to eliminate the term 'y' and thus we get the solution.

Q: Find the general solution 5. (D² – 1)y = 0

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Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

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Q: -x x²dydx Solve: S. S2 x²+y² 1

A: Solve: ∫01∫x2xx2x2+y2dy dx

Q: .3 t +y3

A: Derivative is below

Q: Find the general Solution of the diff. equ- x*y" +zxy-2y=D0 ?

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Q: 11 y" - 4y = x? e3x

A: We have to find the particular solution of the differential equation y''- 4y=x2e3x .

Q: Is t3 t2 – 2dt , can be solved by 3 methods? -

A: Yes, the above problem can be solved by three different methods. The three methods are as follow:…

Q: Q2/ Show that y =e2x + e-3x is the solution to the y"+ y' - 6y = 0

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Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: y" - 4y' =t+ 3cost + e -2t

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Q: Find GH. E 3x – 4 H G F 9x – 59 - D

A: Given Data: From the figure, the points 'E', 'G' and 'D' lies on a straight line and points 'E',…

Q: y"+9y=7e^x find general solution

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Q: Solve for x, given the equation Jx-5 +7= 11. Ox= 21, solution is extraneous Ox=21 , solution is not…

A: NOTE: Refresh your page if you can't see any equations. .

Q: y''=6x-4 find the general solution for the diff eq. above

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Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below.

Q: Find the value h(-6), whereh is defined below. h(t) = 6t - 2 Provide your answer below: h(-6) =

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Q: Q13. Use Variation of Parameters to solve the DE e2x y" – 4y : - %3|

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.