Equations of the form r=a sin (m0) or r= a cos (m0), where a is a real number and m is a positive integer have graphs known as roses. Graph the rose r = sin(50).

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Q: 5. L Evaluate [F DETAILS F. dr. LARCALC11 15.2.029. F(x, y) = xi + yj C: r(t) = (5t + 8)i + tj, 0…

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A: The given differential equation is; y''+y'-42y=0, y(0)=alpha, y'(0)=14.

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A: Find f"(x) for the function. f(x)=(7x2-2)6  Derivative of y= (ax2 +b)n  y'= n(ax2 +b)n-1.(2ax)  And…

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A: Given query is to find indicated limit.

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Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

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Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: 6. DETAILS ZILLDIFFEQMODAP11 4.5.045. Solve the given differential equation by undetermined…

A: To find out the solution of the differential equation by using the undetermined coefficients.

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A: the equation of ellipse is given  below

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A: The given function is x+22=-4y-6

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Q: 3. Find the value of (T) for a solution (x) to the initial value problem: y" + 25y = 10 cos 5x; y(0)…

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Q: Exercise 2. Plot the graph of the function given in polar coordinates tanh0 0-1' 0 > 1 Write…

A: Given; r=2tanθθ-1since θ>1 (radians)

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A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

Q: Video Example < EXAMPLE 1 Evaluate F. dr, where F(x, y, z) = -4y²i + 3xj + 5z²k and C is the curve…

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Q: Consider the following. W = xyz, X = S + 2t, y =s - 2t, z = st² (a) Find aw/as and aw/at by using…

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Q: Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: It is given that the Wronskian of the functions ft=6etsint and gt=etcost.   The Wronskian is given…

Q: Let y = 3x². Find the change in y, Ay Ay when x when x = = 5 and Ax = 0.3 Find the differential dy…

A: Given f(x)= 3x2

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Q: Which among the following vectors is parallel to V = ? i.) A = ii.) B = iii.)

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Q: 15. Minimum sum Find positive numbers x and y satisfying the equa- tion xy = 12 such that the sum 2x…

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Q: Find the Wronskian of the functions f(t) = et sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

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Q: Find the following values. Round answers to 3 decimal places as needed. csc(-13°)~ sec(5)≈ tan( -8)…

A: Basic trigonometric transformations are required

Q: -8 -6 -4 -2 8 19 41 2 2 4 19 2 4 6

A: Given Graph:-

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 1. Choose a solution to the differential equation y" - y = x²e² + 5.

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Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: 4. DETAILS ZILLDIFFEQMODAP11 7.R.004. Answer true or false. The function f(t) = (et) 10 is of…

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Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

A: Given problem:- Use the function f and the given real number a to find (f-1)'(a).  f(x) = x3 -5, a =…

Q: Find a Maclaurin series for f(x). (Use F(x) = f* √ 1 + 1³ dt *² ² + Ë Σ 8 n = 2 f(x) = x + (2n)! 2n!…

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Q: Question 1 Evaluate the following limits: lim x-3 (x³+4x-13) lim x →-6 lim x²-36 x+6 2x² + 3x³ - 2x²…

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Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

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Q: Question Find the equation of the tangent line to the curve defined by the equations * = exact…

A: Here we have to find the equation of tangent line.