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![6. (a) f(x) = arctan (e-2a)
6. (b) f(x) = [arcsin (2²)]³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b0b5ef4-43f7-40b2-bb2e-4be47068e012%2F255c0abb-854e-4261-97f6-d247f8bc3c99%2Fzoawhm_processed.jpeg&w=3840&q=75)
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- 2. The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2?solve using reduction of order (D^2+1)y=tanxA particle moves along the curve ln x2 = sq. root (y+1). As it arrives at the point (e, 3), the x-coordinate is changing at a rate of 4 units per second. How fast is the y-coordinate changing at that instant?
- Lim as x approaches 0 1-cos(5x)+sin(3x)/x2) Find the domain of the real-valued function defined as f (x) = arc cos 2x/(1+x^2 )+ log (sin.π/x).?A particle moves along the curve y= 2 Sin(πx/2). As theparticle passes through the point (1/3, 1), its -coordinateincreases at a rate of √ 10 cm/s. How fast is the distancefrom the particle to the origin changing at this instant?