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Magazine Problem 4
Graph the given functions or pairs of functions on the same set of axes. a. Sketch the curves without any technological help by consulting the discussion in Example \(1 .\) b. Use technology to check your sketches. \(f(t)=\sin (t) ; g(t)=\sin (t+\pi)\)
Problem 5
Find the derivatives of the given functions. \(h(x)=2 \csc x-\sec x+3 x\)
Problem 5
Graph the given functions or pairs of functions on the same set of axes. a. Sketch the curves without any technological help by consulting the discussion in Example \(1 .\) b. Use technology to check your sketches. \(f(t)=\sin (t) ; g(t)=\sin (2 t)\)
Problem 5
Evaluate the integrals. \(\int\left(3.4 \sec ^{2} x+\frac{\cos x}{1.3}-3.2 e^{x}\right) d x\)
Problem 6
Find the derivatives of the given functions. \(h(x)=2 \sec x+3 \tan x+3 x\)
Problem 6
Graph the given functions or pairs of functions on the same set of axes. a. Sketch the curves without any technological help by consulting the discussion in Example \(1 .\) b. Use technology to check your sketches. \(f(t)=\sin (t) ; g(t)=\sin (-t)\)
Problem 6
Evaluate the integrals. \(\int\left(\frac{3 \sec ^{2} x}{2}+1.3 \sin x-\frac{e^{x}}{3.2}\right) d x\)
Problem 7
Find the derivatives of the given functions. \(r(x)=x \cos x+x^{2}+1\)
Problem 7
Graph the given functions or pairs of functions on the same set of axes. a. Sketch the curves without any technological help by consulting the discussion in Example \(1 .\) b. Use technology to check your sketches. \(f(t)=2 \sin [3 \pi(t-0.5)]-3\)
Problem 7
Evaluate the integrals. \(\int 7.6 \cos (3 x-4) d x\)
