Find the area of the region between the graphs of y = 20 - 2² and y=-2x - 15 over the interval 6 < x < 12.

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A: We have to choose the equation which is not a variable separable differential equation.

Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: lim x→0 (sin3x sin5x/x2) *without use of deritivatives or l'hospital's rule*

A: See the details solution in below

Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: B. Evaluate the limits of the following: 1. lim x-2 lx-2 6 x²+2x-8

A: Concept: Limits: The values that a function approaches for the specified input values are known as…

Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: show that the mapping w = (1 − j)z, where  w = u + jv and z = x + jy, maps the region y > 1  in the…

A: Given data:- The given equation, z=x+ jy  and  w=(1- j)z

Q: Q2:/ Sketch the region (R) of integration SSR x² dydx and evaluate the integration. Then reverse the…

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Q: Book Problem 63 The velocity of a car was read from its speedometer at 10-second intervals and…

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Q: Question 4 What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? Ⓡ…

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Q: Find the limit. (If an answer does not exist, enter DNE.) X-8 lim X-8 x² - 64 STEP 1: Factor the…

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Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: 1. Calculate dy da for the following: (a) y ln(x + 2x³ - 6), =

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Q: Step 1 1 + In 2xy = e2x - y, (1/2, 1)

A: we will find the required.

Q: lim x→0 (sin3x sin5x/x2)

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Q: in a fish farm , fish are harvested at a constant rate of 2100 fish per week.the percapita death…

A: Given data:- The fish are harvested at a constant of 2100 fish per week, The given per capita death…

Q: dy If y = arctan(er), dx

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: The piecewise function for the above table can be shown as: 95 110 150 160 220 f(x) = 240 360 10,…

A: A piecewise function is a function that has different definitions depending on the x value as in…

Q: 10. If h(x)=x-3 and g(x)= x. Find (hg)(x)

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Q: 3. Let 1 ƒ(x)=_=_=__and g(x)== x-4 Find f(g(x)) and find its domain.

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

Q: If y arcsin(4x4), dy da ||

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Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Eliminate the arbitrary constant. + c₂2e²x y=c₂₁e 1 A B C D -X y"'-y'-2x = 0 y"-y'-2y=0 2y"-y'-2x=0…

A: The given equation is: y=c1e-x+c2e2x...(1) To eliminate the constants c1 &amp; c2.

Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: 3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25…

A: Need to answer the following parts for the given sales function with respect to the number of days.

Q: 3. For the given differential equation, do the following: 6y²dx-x(2x³ + y)dy = 0 a) Find P(x) or…

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Q: 15. The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

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Q: eliminate arbitrary constants 3x³ + y² = cy ✓.

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Q: 357. 358. 359. cπ/3 0 sinx-cosxdx sinx + cos x ₂π/2 π/6 ₂π/3 π/4 CSCxdx cotxdx

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = √√/1+x f(x) = 1 + x…

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Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: 33. m -3 -2 2. O -1 1 -2+ Graph of f' +2 3 Let f be a differentiable function with f(1) = 3. The…

A: The function f is differentiable with f1=3. Graph of the derivative function of f is given.

Q: lim sec O 0→→→I+ 2

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Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

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Q: If y = arcsin(- 5x + 1), dy dr

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Q: 4. lim ¹-cos 2x x-0 sin 2x

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Q: Calculate $o (3x + 5y - cos(y)) dx + x sin(y) dy if C encloses a region of area 4.

A: To evaluate the given integral.

Q: What is the inverse of the function f(x) = sqrt(81-x2) for the domain [0,9]?

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Q: . Test the equation for symmetry. (Select all that apply.) y = 7x4 + 2x2 a. The graph is symmetric…

A: Topic = Function As per guidelines , At a time only one question with three sub-parts can be…

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Q: Solve the given differential equation. All solutions should be found. dy_ x - 4y dx x NOTE: Use c…

A: Let's solve given differential equation.

Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given

Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: Solve the given differential equation. All solutions should be found. 3x² - 3y - y³ 3x + 3xy² dy dx…

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Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: The diagram has been redrawn to indicate the required point.

Q: < The productivity of a certain country with the utilization of x units of labor and y units of…

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