Q2: Find the area common between the curves r = a (1+ cos0), r =a (1 – cos0).

Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

A:

Q: Find the area of y = sin x, y = sin3 x

A:

Q: Find the area in the first quadrant inside the curve r = 4 + cos 2θ but outside the curve r = 3 cos…

A: Given  The outside the curve r = 4 + cos 2θ but inside the curve r = 3 cos 2θ . Formula for area…

Q: 8. Find the principal value of Arc tanh(1 + j2)

A:

Q: differentiate y = (cosx)cotx for cosx >0 and simplify

A: Consider the function y=cosxcotx Take logarithmic both sides lny=lncosxcotxlny=cotx⋅lncosx…

Q: t2(sinh 2.75t – 5)

A: (3) Given t2sinh2.75t−5 We have to find the Laplace transform of t2sinh2.75t−5 That is…

Q: 57. Use Eq. (5) to find sin x dx.

A:

Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

A:

Q: Justify the hyperbolic function based on the six hyperbolic functions: 1. sinhx coshx

A: To Examine: whether sinhx=coshx or not, using the definition of the hyperbolic function.

Q: Find the area of the "triangular" region in the first quadrant, bounded on the left by the y-axis…

A:

Q: Find the area shared between the curves r = cos(θ) and r^2 = 3 cos(2θ)/2 i ask it before but i…

A: Given :- The area shared between the curves r = cosθ and r2 =3cos2θ2

Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Find the area of the shaded region of the graph of r=1+sin(0)

A: Consider the given function r=1+sinθ

Q: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

Q: Differentiate  (sin 2t)/t.

A: ft=sin2tt

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Approximate sinx dx using four trapezoids of equal width. On the interval (0, pi)

A: Trapezoidal rule