(i) By sketching the graphs of y = 4 sin x and y= e" on the same coordinate system, find the number of solutions to the equation f(x) = 4e» sin x Р1 = 0 in the interval [0, 1].

Q: 54 (b) y =. sin 2x. 4 Find

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Q: Solve sin(x) +7 sin(x) cos(2x) = 0 for x E (0, 5). Give your answer in radians correct to 3 decimal…

A: The given equation is sin(x)+7sin(x) cos(2x)=0 and the range for x is (0, π/2).

Q: Differentiate the following functions y = x5 sin(x) (a) (b) y = In(x) X

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Q: Find the Cartesian equation of r2 sin(20) = 1.

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Q: is a root of the equation y2 + ycot x cos x - 1 = 0

A: Here we have to show that, y = sin x is a root of the equation y2 + ycot x cos x - 1 = 0

Q: 1. (a) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 (1) State the order of the…

A: First order Linear differential equation :                     dydx+P(x)y=Q(x) ; where Both P(x) and…

Q: Find the roots of 3 cos (x)-x2=-10.

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Q: (5) a) Find the linear and quadratic approximations of sin(0.967) tan(0.26) + (0.96)²(0.26) b)…

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Q: 4. Symbiotic Relationship: When two species, such as the rhinoceros and birds, coexist in a…

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Q: 2. (VP-3) Use variation of parameters to find the general solution to the following equation: y" + y…

A: Given: y''+y=sec x tan x To find: The solution of the given differential equation using variation of…

Q: O: solve the following equation y'-(sinx)y 2sinx

A: The objective is to solve y'-sinxy=2sinx            ...... (1) Given differential equation is linear…

Q: (b) c = 9 · t + sin ( 2 - t² – 2 . t3) .2-2.8) (b) c 9 t+ sin ( 2 The answer is

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Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get…

Q: Q7. Solve the following equations: 3.2. cos¹ 4x-sin' 4x+x

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Q: Graph the epitrochoid with equations x  =11 =cos t - 4 cos(11t/2), y = 11 sin t - 4 sin(11t /2)

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Q: Solve the equation: dy (4x + 5)2 1 tan x · Y = 2 ,3 dx 2 cos x

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