ôʻy The order of the differential equation 5x- + 3x + w²y = 0 is ôx 3 dʻy The degree of the differential equation 5x²| dx d - +5y = 0 s dx

Q: Identifying The Characteristics of a Logarithmic Function Complete the table below for the Logarithm...

A: To find out the domain, range, horizontal intercept, vertical asymptote, vertical intercept, horizon...

Q: Properties of Exponents Which of the following are TRUE regarding f(r) = log, x (b > 0 and b ± 1)? C...

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Q: 5. Exact Differe ntial Equation: x(3xy-4y' +6dx+(x' -6x'y' -1dy = 0

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: (1) Let C1 and C2 be arbitrary constants. The general solution to the homogeneous differential equat...

A: Let's find. 

Q: Integrate both sides dy `xdx

A: We have ∫dyey =∫xdx

Q: Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squee...

A: Let f(x)=-32x-2x2-120 h(x)=x2+16x+72 And f(x)≤g(x)≤h(x) We to evaluate g(x) using f(x) and h(x)

Q: A graphing calculator is recommended. Let f(x) = x5 – x². (a) Find f'(x). f'(x) = (b) Check to see t...

A: topic - functions and derivatives

Q: Homogeneous Diffe rential Equation: (r +2xy -4y \dx- (x² –8.xy –4y² \dy = 0 Use the substitution y- ...

A: A detailed solution is given in steps 2 and 3.

Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

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Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

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Q: Given the function g and asked to estimate lim g(z), three students created tables. Each table is ac...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: True, Differentiability implies continuity.

Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40', c = 16m, a...

A: Let's find. 

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

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Q: Separation of Variables: x(y +1)dx+ y dy = 0

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Q: A magazine publisher reports that their revenue function and cost functions (in thousands of dollars...

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Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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Q: Vx2 – 16 if x 0 Find the following: Note: If the g(a) or lim g(x) does not exist write DNE. 1. lim ...

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Q: Let y=f(x) be the solution to the differential equation dydx=x−y−1dydx=x−y−1 with the initial condit...

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Q: Using a Table of Integrals with the appropriate substitution, find + 5e" dx e2 - 100 se3x + 6e2x Ans...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: exV - 1 B Let g(x,y) x +y - 1 (a, b) = (1,0). Show that lim g(x,y) does not exist. (x,V) - (a,b) • T...

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Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C -...

A: topic - differential equations

Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(5) + log,(@) ...

A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: Find the slope of the curve r=7-cos(theta) at theta=9pi/4.

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

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: 0.6 C(x) = x2 ' where x is the distance away from the plant in miles. The instantaneous rate of chan...

A: To find out the instantaneous rate of change of the sulfur dioxide concentration.

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: 1. /* dx x3 + x

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: Find the interval of convergence of Σ (-4)" (x+10)" n! (Use symbolic notation and fractions where ne...

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Q: 0.13t C(t) t2 + 3 Find the instantaneous rate of change of the drug concentration with respect to ti...

A:  The concentration of the drug in the bloodstream (in milligrams per cubic centimeter) t hours after...

Q: The position of a bird flying along a straight line with s in meters and t in seconds is given by s(...

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then ...

A: This question can be solved by applying the concept of rate of change of quantities.

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Find the area of the region enclosed between f(x) = x? – x + 20 and g(x) = 2x? – 2x. Area = .. ... ....

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive y ...

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Q: 5. Exact Difle rential Equation: 3ry -4y' +6dr + (r° – 6x°y² - 1kty =0

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Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

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Q: The height of a sand dune (in centimeters) is represented by f(t)=500−2t^2 cm, where tt is measured ...

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Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: point 4 m above ground level with an initial velocity of 21.5 m/s is h = 4 + 21.5t – 4.9t2 after t s...

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