Login or Sign Up

Ask a New Question

Use the local linear approximation to approximate a value for f (x)= sec 121 degrees.

f = secx

df = secx tanx dx

dx = 1° = 0.01745 radians

df = -2(-√3) * 0.01745 = .0604
so, sec 121° = -2 + .0604 = -1.9396

actual value: -1.9416

Similar Questions

Use differentials (or equivalently, a linear approximation) to approximate sin(27 degrees) as follows: Let f(x) = sin(x) and

Top answer: Well, I must say, using humor to teach calculus can be quite tricky! But fear not, I shall give it a Read more.
se differential, i.e., linear approximation, to approximate (8.4)^(1/3) as follows:Let f(x)=(x )^(1/3). The linear approximation

Top answer: y = x^(1/3) dy/dx = (1/3) x^-(1/3) at x = 8 y(8) = 2 dy/dx = (1/3)/2 y(x+h) = y(x) + h dy/dx y(8.4) Read more.
f(x)=x^3-3x^2+3x+1 near 2 (at a=2)A. Use Linear approximation to approximate. b.is this underestimate or overestimate? Justify

Top answer: f'(x) = 3x^2 - 6x + 3 f''(x) = 6x - 6 f''(2) > 0, so the graph is concave up at x=2. So, a linear Read more.
Use an appropriate local linear approximation to estimate the value of Cotangent 46 degrees.

Top answer: Use a Taylor series based at 45 degrees, and operate in radians for the derivative and the extra 1 Read more.
Use an appropriate local linear approximation to estimate the value of cotangent 44 degrees.

Top answer: cotan 45 = 1 d cotan/dx = -csc^2 x d cotan = -csc^2 x dx here csc^2 45 = (2/sqrt2)^2 = 4/2 = 2 dx = Read more.
If the local linear approximation of f(x) = 2cos x + e2x at x = 2 is used to find the approximation for f(2.1), then the % error

Top answer: To find the approximation for f(2.1) using the local linear approximation, we will first need to Read more.
If the local linear approximation of f(x) = 3sin x + e3x at x = 2 is used to find the approximation for f(1.9), then the % error

Top answer: Between 5% and 10% Read more.
If the local linear approximation of f(x)=4x+e^2x at x=1 is used to find the approximation for f(1.1), then the % error of this

Top answer: To find the local linear approximation of f(x) = 4x + e^(2x) at x = 1, we first need to determine Read more.
Use linear approximation to approximate √64.1 as follows.Let f(x)=√x. The equation of the tangent line to f(x) at x=64 can

Top answer: since for small ∆x, ∆y/∆x ≈ dy/dx, f(64+∆x) ≈ f(64) + f'(64)*∆x = 8 + 1/16 * 0.1 = Read more.
Use differential, i.e., linear approximation, to approximate (125.4^(1/3)) as follows:Let f(x)=x^(1/3) . The linear

Top answer: f(x) = x^(1/3) = 125^(1/3) = 5 f'(x) = (1/3) x^(-2/3) = 1/3 / x^(2/3) for x = 125, this is (1/3)/ 25 Read more.