Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true derivative of cos x to supply extra endpoint conditions). Write down its expression on each piece.

Q: Graph the function y=-sin2x on [-pi,0]

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Q: Use a calculator to compute sinhx and coshx for x = -3, 0, 5.

A: We use a calculator to find the values.

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: Find the domain and the range y= V1- sinx

A: Given function: y=1-sinx

Q: -*+ 42 –11 f (x)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use implicit differentiation technique to find ,if 8z sin y= 5xy+ 2a Answer:

A: In implicit differentiation, we differentiate each side of an equation with two variables (usually x…

Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

A:

Q: 4т f tan tan 9.

A: tan-1tan(x)= x hence tan-1tan-4π9= -4π9

Q: Find the first derivative by applying the appropriate rules. DO NOT SIMPLIFY the algebra. (a) fx)…

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Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

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Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: Find f sin ¹xdx -

A: Given query is to find the integral.

Q: t chawthat (1.1), C6.0), Gesz), (2,-8) are concyclic and find the cruabion of the côncle on which…

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Q: tanxsinx + cosx = secx

A: tanx sinx+cosx=sinxcosx·sinx+cosx   ∵tanx=sinxcosx=sin2xcosx+cosx=sin2x+cos2xcosx=1cosx…

Q: What is the derivative of tan 2x/1-cot2x? Write the answer in simplified form.

A: Given,          y=tan2x1-cot2x