(2) Determine what comes next in the given pattern and provide solution/explanation: 12, 5, 24, 10, 48, 15, 96, 20, ---

Q: -28 5. How is can be express as rational number with numerated the number 47 84 O 4/7 O-4/12 - 4/7…

A: Given query is to re write the expression as numerator with 4.

Q: Q.17: Find an expression for the nonhomogeneous ODE whose general solution is given by: y = Ae³x…

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Q: 7* +(7)* 2 7. If А. 2 О A О в О с о D оо =1 then x= B. 4 С. 1 D. 0

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Q: 2. In the parametric equation, x = 2t, y = 3t 1, fill the table below. t 0 1 2 3 4 5 X x = 2t y y =…

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Q: LO 5 100 160 500 √√25 O +1 O -1 O +1,-1 None of them

A: We can find the solution as below.

Q: A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

A:

Q: Find the polar coordinates of the point with Cartesian coordinates (−2, 3)

A: topic-Cartesian coordinate to polar coordinate conversion

Q: evaluate the integral using methods of trig integrals S cos³ x dx

A: Solution is here

Q: 2 If the function of is odd fur - f (x)) then, the Fourier transf called Fourier sine transform Is…

A: answer is in next step

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: answer is in next step

Q: A. The variables x and y satisfy the following coupled first order differential equations. dx =x-2y…

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Q: 4. Differentiate the following. Simplify your answers. っ 7m)²/3r 116 エコノー

A:

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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Q: Evaluate using the method of trig substitution 6. S dx √16-x²

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Q: If ƒ (x) = (2x+1) ³ (x-3) 4 4 then f(0) =

A: Given:    f(x) = 2x+13x-34

Q: .729 dx S == Sºf(v)dy, find f(y). 64 √√x-3√x Using Rationalizing Substitution 6y² +6y+6+y-1…

A: Given:-∫64729dxx-x3dxsubstitute  x=y6 differentiate both sidesdx=6y5dychange the limitx=64,…

Q: If the product of two positive numbers is 300, Minimize the sum and the second number and trice of…

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Q: 11. x² +1 Find +3x+1 -dx

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Q: Let f(t) 3t* Then f'(t) = 7t + 7e'.

A: SOLUTION-

Q: Let u(x) = sin(x) and v(x) = x¹0 and f(x) 10 - u'(T) v'(x) u'v – uv' f' = V² = II u(x) v(T)

A: We have to solve the derivative

Q: 4) x² (1-8)² + 100 25 =1

A:

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (x²-3x-4)dx (5+…

A: The given region are:y=x+4 and y=x2-2xTo find the area.

Q: (x-3)² (y-4)² - + 16 196 = 1

A: Given query is to find the conic form.

Q: Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √√5 What is the value…

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Q: y"-2y'-8y = 0 if y(0) = 3; y'(0) = 6

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Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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Q: Example:- Solve the equation 1) (3y + e*)dx + (3x + cos(y))dy = 0 3) e* (ydx + dy) + e' (dx + xdy) =…

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Q: 3. The distance of a body travels a function of time t and is defined by: x(t) = 18t + 9t². What is…

A: Given, x(t)=18t+9t^2

Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

A:

Q: dx Using Rationalizing Substitution ·S =ff(v)dy, find fry)dy x√√x-1 O In(y) + C O2ln(y) + C O…

A: To find out the integration.

Q: Which of the following is true? * f (x, y) = x³ - 2xy + 3y² fx = 3x² - 2y + y³; fy = 6x Option 1 f =…

A: The given function is;  f(x,y)=x3-2xy+3y2.

Q: 8- The simple expression of the А. 7 b5c8 за B. 7 b5c8 3a5 O A о О в О с O D 21 abc 3ab²c С. IS 7…

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Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

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Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of wa…

A: We know force = pressure × area . Density of water us 1000kg/m3 Acceleration due to gravity =…

Q: 7 Suppose that f(x)dx = 8. Find the value of the following definite integrals. Complete parts (a)…

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Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7-².…

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Q: Solve the Ordinary Differential Equation by Laplace Transformation y" - 2y' - 8y = 0 if y(0) = 3 and…

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Q: 5. Evaluate the iterated integrals. a. b. [²³² (x+y)dx dy S S S xyz dx dy dz

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Q: The rate of depreciation of a building is given by D'(t) = 2000(10 - t) dollars per year, 0 ≤ t ≤…

A: solution:-(a) according to the given graph the total depreciation of the building over fitst 5 years…

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √2x+5…

A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: 10- 7- 12 3 √9 А. 3 B. V3 О А О в О с O D С. 1 D-I

A: I didn't understand 9th question statement.  What is multiply with 1/125

Q: Q3 2. S a. Tuate Toul sinx cosx √1+cos2x dx

A:

Q: Find the maximum value of f(x,y) = 12-x² - y² on the line x + 2y = 5. The maximum value of f(x,y) =…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1, y = 0, and x = 2…

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Q: Find the area under the given curve over the indicated interval. y=x²; [0,5] The area under the…

A: Given: Now, we need to find the area under the given curve.          Area = ∫05x2dx          =x3305…

Q: 7* +(7)* 2 7. If A. 2 = 1 then x= B. 4 C. -1 D. 0

A: using substitution and any number having power 0 is equal to 1.

Q: x²-16 Given a proper rational expression (x-2)²(x+2) (a) Decompose the proper rational expression…

A: a.