Let f(x) = 3 cos 2x + sin² x. a) Show that f'(x) = -5 sin 2r. b) In the interval

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A: We are allow to solve one question at a time. If you need rest of answer then upload separately.…

Q: Question 6. At what value/s of x will the function y = O x = 0 O x = -3 O There is no point of…

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A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

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A: Using differentiation we get acceleration

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A: Let's solve.

Q: e dx + (2y + xe") dy = 0

A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

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Q: 1. Given the region bounded by the following functions as well as the x-axis: y= 2²/1₂ ² x= x = 4…

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

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Q: As shown in the required readings or videos solve the Logistic Differential Equation below for an…

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A: Let's find minimum,maximum and inflection point of given function.

Q: dy Write down a differential equation of the form dt all other solutions diverge from y 9 as t →∞. =…

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Q: [Select] the derivative of y? y = x⁹e²x+1 18. Which rule is applicable when solving for A.…

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Q: Maple plot + IŅ -6 Given the graph of f (x) above, find the following limits. 16 4- Ņ 0 Ņ 2 4 6

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Q: Solve the given differential equation. All solutions should be found. dy e5x+10y = e dx NOTE: Use c…

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Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

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Q: A payment of $11,065 is due in 2 year, $20,000 is due in 4 years, and $8,800 is due in 7 years. What…

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Q: Question 7 Determine the x - coordinate of the local ma Or - 18 O r = 16 O = 1.0 None of the choices…

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Q: Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x − h)² + k:…

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Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

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Q: 4. Evaluate 12x+1 dx 5. Evaluate dx X 6. Evaluate [ 3x -¹ dx

A: To find the value of given integrals .

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Q: Evaluate the double integral: L y 1/3 27 +1 dx dy.

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2, y=0 & y=8 is as shown…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: We know that, Newton’s law of cooling is given by, dT/dt = k(Tt – Ts) Where, Tt = temperature of…

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Q: Which statement is NOT TRUE about derivatives? O The derivative is the slope of the tangent line to…

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Q: Consider the function f(x) = 4 − 4x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: Consider the function fx=4-4x2, -5≤x≤1.To determine the absolute maximum and the absolute minimum…

Q: solve by differential √226

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I COS(π/X⁹) dx X10

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Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

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Q: integral

A: Please refer to the image below

Q: solve by differential √226

A: To solve by using differential.

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A: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

Q: The set S = [1,3] is not./compact. Which open cover of S 9.) {[1,3 + ¼/n) I nεN } b.) { C1-1/n,…

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…