SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

Q: what is 2x3

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Q: 2. Explain the process of evaluating the derivative of f(x) = (x³ – 1)100

A: The objective is to explain the process of evaluating the derivative .

Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: Use Double Angle Identities to simplify the following trig expressions. Your answer should use only ...

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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: 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: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4 ...

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Q: Write the following function in terms of its cofunction. COS Write your angle in radians, and make s...

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Q: 3. Se paration of Varlable s: x(y +1)dx+

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Q: Shen can choose Plan A or Plan B for his long distance charges. For each plan, cost (in dollars) dep...

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Q: V3 The slope of the curve y = y -x² at the point V3 is 2 -- 4

A: Follow the procedure given below.

Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

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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: A population grows according to the model, 1400 e where A is the population t years after the start ...

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Q: x + Vx + Vx +... to infinity. What is the expression for y'? 10. Bonus: Let y = (Hint: Try to find a...

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 5x³ + 3x² + 9x %3D f'(x) =D f"(x) =

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Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: mpQ -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 slope Previous

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Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: Use Simpson's rule with n = 4 to approximate 5/ a2 + xdx Keep at least 2 decimal places accuracy in ...

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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: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 3...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Shown above is a slope field for which of the following differential equations? dy A dæ B dy = y – 1...

A: Follow the procedure given below.

Q: Write the first five terms of the sequence: { +o0 11 In n n=1 Determine whether the sequence converg...

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Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: Solve the following rational equations and state all non-permissible values. 3k +2 =3- 19. k+1 k-1 %...

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Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

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Q: Given that cot(0) = and 0 is in Quadrant I, what is sin(0)? Write your answer in exact form. Do not ...

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Q: ing Initial value problem for y as a function the dy 9 = 1, x> 3, y(5) = In (3) dx

A: Since multiple questions are asked. I am answering the first question.

Q: d'y dy 4+y =r²-21 +3 dt? dt

A: We will calculate CF and PI separately then we will add them.

Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

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Q: Question 1 Evaluate the value of the function Y + 22 sin(x) f (x, y, z) = at the point (, 3, 2). T O...

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Q: The equation of the family of straight lines with y-intercept and slope equal is

A: Equation of family of lines

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

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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: 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: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about t...

A: Let's find. 

Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: There is a removable discontinuity at x = 1 and f(1) = 4

A: we have to sketch the graph .

Q: Find f ogohif f(x) =, g(x) = x", h(x) = x + 3. 10 x+1'

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Q: 10) du(3リ+3 4x + 5, 二 dx

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Q: Consider the initial value problem and find the solution: y'' + 4ay' + (4a2 +1)y =0    y(0)=2,   y'...

A: We will use that if ax2+bx+c=0 is equation than x=(-b+(√b2-4ac))/2a and x=(-b-(√b2-4ac))/2a.

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: 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 differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: Solve for x. 8e^(-7x)=2

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Q: 00 Expand the function in a power series a„x" with center c = 0. Find a,x". 4+3x n=0 (Express number...

A: The given function is  f(x)=14+3x