# calculus

(a) Give the linear approximation for the function e−x1+x near x=0.

(Enter ∗ for multiplication: type 2*x for 2x. Enter / for division: type 1/2 for 12.)

- sin responder

(b) Give the quadratic approximation for the function ln(cosx) near x=0.

(Enter ∗ for multiplication: type 2*x for 2x. Enter / for division: type 1/2 for 12. Type ∧ for exponents: x∧2 for x2.)

- sin responder

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### calculus

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is? So confused

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.)

3. ### math

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.)

4. ### math help!!!

stuck!! pls help/explain!!! 2. Do the values in the table represent a linear function? If so, what is the function rule? (1 point) x = -2, 0, 2, 4 y = -4, 0, 4, 8 The values do not show a linear function. Yes, they show a linear

1. ### calculus

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answer to two decimal places.) tan

2. ### Calculus

Find the linear approximation of the function f(x)=^3sqrt(1+3x) at a=0 and use it to approximate ^3sqrt(1.03)Is this an overestimate or underestimate of the actual value? Explain your answer in terms of the tangent line and the

3. ### calculus

Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.

4. ### Calculus

Given that f is a differentiable function with f(2,5) = 6, fx(2,5) = 1, and fy(2,5) = -1, use a linear approximation to estimate f(2.2,4.9). The answer is supposed to be 6.3. Here's what I've done so far: L(x,y) = f(2,5) +

1. ### calculus

Use the linear approximation (1+x)^k=1+kx to find an approximation for the function f(x)=1/square root of (4+x) for values of x near zero.

2. ### Calculus

Find the linear approximation of the function. g(x) = ^3sqrt(1 + x) at a = 0. g(x)≈ Use to approximate these numbers (round to 3rd decimal) 3^sqrt(.95) 3^sqrt(1.1)

3. ### CALCULUS

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 of this approximation is

4. ### Calculus 1

Find the linear approximation of the function g(x)=cube root(1+x) at a=0.