Evaluating an Iterated
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Chapter 14 Solutions
Calculus
- True or False? In Exercises 69 and 70, determine whether the statement is true or false. Justify your answer. A cofunction identity can transform a tangent function into a cosecant function.arrow_forwardsin v de Evaluate daarrow_forwardEvaluating Definite Integrals Use the Substitution Formula in Theorem 7 to evaluate the integrals in dr 2. a. b. -п/4 | Vy + 1 dy 3. a. b. 1. a. Vy + 1 dy tan x sec²x dx b. tan x sec²x dx -1 T/4arrow_forward
- Exerceise(6) Prove that Jy2 = 2 sinx XTarrow_forwardCalculus IIarrow_forwardArea Function a) Find the formula for the area function, A(x), represented by the integral. b) Use that formula to find both A(t) and A(2t). c) Graph f(t) = sin (;t) and shade the area for the interval [0, 27]. d) Graph A(x) on the same graph and plot the point (2r, A(2n)). e) What is the relationship between parts (c) and (d)? sin dtarrow_forward
- Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable force F(x) moves an object in a positive direction along the r-axis from z = a to z = b, then the work done on the object is = [ F(=) dz W = Part 1. Setup the integral that will give the work done by a constant force, F = 12 lb, in moving a chair (along a line) a distance of 7 feet. W = Note: Assume that initial position of the chair is at z = 0. Part 2. Calculate the done by the force described above. w = foot-pounds. Note: enter your answer as an exact value without using decimals.arrow_forwardEvaluating a Line Integral Using Green's Theorem In Exercise, use Green's Theorem to evaluate the line integral. √(√(x² - 1²) C: r = 1 + cos 8 (x² - y²) dx + 2xy dyarrow_forwardCalculus Evaluate there integral using a rationalizing substitution [² dx/(x² + x√√x)arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning