dy = 2 x cos ( 3x² ) and y(0) = 1. Suppose d x What is y(1)?

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A: We can answer the question in the below steps.

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Q: if it was 2K+Y た44eV 4メ=24-3VFlay) = 2f ty ア-2X find の2F うu

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Q: If the region R is bounded between two circles x2 +y? = 1 and x²+y? = 16 , then we have: J| x²+y?)…

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Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: Find the radius and interval of convergence, R, of the series. En-1 2n

A: For radius of convergence we have to findlimn→∞an+1an<1  in the form of x<RAnd radius of…

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Q: 10 The conic whose equation is x 2 + y 2 = 36 is a point-circle a circle an ellipse

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Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: I-y 1. Let f(1,y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1, y)

A: Given f(x,y)=x-yx+y+1   a) f(2,1)=2-12+1+1    f(2,1)=14   b) f(1,2)=1-21+2+1     f(1,2)=-14

Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

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A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

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Q: Find x' for x(t) defined implicitly by x+t°x+t -8=0 and then evaluate x' at the point (-2,2).

A: x3+t3x+t4-8=0Differentiate w.r.t…

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Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

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A: Given the function is f(x) = cos x - x2 sin x

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Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: Two linearly independent solutions of the differential equation y" + 6y' + 9y = 0 are Select one: yi…

A: characteristic polynomial  r2 + 6r + 9 =0 (r+3)2 =0 r = -3 solution of this eqaution is y(x) =…

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: (x³-4) dx x3+2x2+2x

A: Here we have to integrate the given Integral.

Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1