Questions from General Calculus


Q: Evaluate the integral. f1/2√3/2

Evaluate the integral. f1/2√3/2 6/√1 – t2 dt

See Answer

Q: Evaluate the integral. f12 x-2 dx

Evaluate the integral. f12 x-2 dx

See Answer

Q: Evaluate the integral. f01 10x dx

Evaluate the integral. f01 10x dx

See Answer

Q: If f (x) = fx0 (1 – t2)

If f (x) = fx0 (1 – t2) et2 dt, on what interval is f increasing?

See Answer

Q: If f (x) = fsinxo√1 + t2 dt

If f (x) = fsinxo√1 + t2 dt and g (y) = fy3 f(x) dx, find g"(π/6).

See Answer

Q: On what interval is the curve y = fx0 t2/t2

On what interval is the curve y = fx0 t2/t2 + t + 2, dt concave downward?

See Answer

Q: (a). What is an alternating series? (b

(a). What is an alternating series? (b). Under what conditions does an alternating series converge? (c). If these conditions are satisfied, what can you say about the remainder after n terms?

See Answer

Q: Show that the series is convergent. How many terms of the

Show that the series is convergent. How many terms of the series do we need to add in order to find the sum to the indicated accuracy?

See Answer

Q: (a). What is the difference between a sequence and a

(a). What is the difference between a sequence and a series? (b). What is a convergent series? What is a divergent series?

See Answer

Q: (a). Explain the difference between /

(a). Explain the difference between (b). Explain the difference between

See Answer