Find all solutions of the equation 2 sin² z The answer is - COST- with < < *. 1 in the interval [0, 2π). and Ta

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A: Solution of given question is written in below steps.

Q: Find the total area of the shaded region shown to the right given by the - T curve y = 3( sin x)√1 +…

A: Topic = Area

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Q: Find the general solution of the differential equation. y(4) +12y" + 36y = 0. NOTE: Use C₁, C2, C3,…

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Q: Given the following table with selected values of the linear functions g(x) and h(x), determine the…

A: Topic = Functions

Q: X2-x+2 x3+4x xp

A: The given integration is: ∫x2-x+2x3+4xdx To find the value of the given integration.

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Q: Solve the initial value problem. ds dt = 20t(5t² − 3)³, s(1) = 7 - The solution is s=

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Q: Question 3 ( ) Evaluate the integral Il ² D - y dA where D is the region bounded by the curves y =…

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Q: The maximum number of rabbits, R, that an area can support is 100, there are currently 20 rabbits,…

A: A detailed solution is given below.

Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: Find the general solution to the differential equation. y' = eyx2 y =

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Q: 2).  Draw the directional field for the differential equation. y' = 1 − y2 − x2

A: Given  y'=1-y2-x2

Q: 6 5 2 1 1 2 4 6 5 4 1 1 (c) Describe the relationship between the graphs. The graphs off and fare…

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Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

A: answer is in next step. please give a like !!

Q: figure to evaluate the definite integrals N 1 -1 -24 ²8(1 g(t) dt = Lg(0) y = g(t) + 1 2 3 4 5 rals…

A: Topic:- application of integration

Q: 5 [³ (Use symbolic notation and fractions where neede Calculate the integral, assuming that f(x)dx=

A: topic:- integration

Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

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Q: a) Sketch the region of integration and evaluate the double integral 8 [[_ 0 -6 -2 y + xy² dx dy b)…

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Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=&lt;8,-6&gt; and  3v=3-1,23v=&lt;-3,6&gt;

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Q: Evaluate the integral using an appropriate method. [15 15 cos²x sin³ x dx

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Q: Tutorial Exercise Use the position function s(t) = -4.9t² + 750, which gives the height (In meters)…

A: Let's find the value.

Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sin x, y0=5, y'0=2y

Q: Sketch the plane curve. r(t) = tr + t2j, [01] y 1.0 0.8 0.6 0.4 0.2 y 1.0 0.8 0.6 0.4 0.2 0.2 0.2…

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Find the absolute maximum and absolute minimum values of the function f(x)= |x-1|+|x+3| on the…

A: The given function is fx=x-1+x+3 on the interval -5≤x≤5

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Q: 7. * y = ln x X

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Q: Find the general solution to the differential equation. x2y' = (x + 5)y y =   PLEASE SHOW STEP BY…

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Q: Find the gradient of the function at the w = x tan(y + 2), (10, 8, -3 Vw(10, 8, -3) =

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Q: World consumption of a certain metal is running at the rate of 332e0.02t thousand metric tons per…

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Q: dc The marginal cost of printing a poster when x posters have been printed is dx c(25) c(1), the…

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Q: (в Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv=dx, the integral can be written as…

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Q: Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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Q: You are given the graph of a function f. YA 2- 0 Determine the intervals where the graph of fis…

A: Consider the graph of f

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, f(x, y) =

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Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: Question 2 ( ) Draw the enclosed region by the curves y = √1-x, y = 0 and x = -3.

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Q: Express the number 5√3-3i in the form R(cos(0) + i sin(0)) = Rei, where R> 0 and T ≤ 0 ≤ π. NOTE:…

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Q: Can you please write it out I can't read it typed.

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Q: dy Find for y = dr dy dr || r J√3 + 0 3 + 4t2 dt.

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Q: Find the following for the given equation- r(t) = (e-t, 7+², 2 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

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Q: Use your parametric equations to determine the following: Maximum height Time to land Where to…

A: Disclaimer: Since you have posted the sub multiple parts for the questions ,we will solve the first…