Find the linearization at x=a. f(x)=sin^7(x), a=π/4, (Use symbolic notation and fractions where needed.) Find the...

Find the linearization at x=a.

f(x)=sin^7(x), a=π/4,

(Use symbolic notation and fractions where needed.)

Find the linearization of y=e^(√7x) at x=36.

(Use symbolic notation and fractions where needed.)

Expert Solution

milcah answered 2 years ago

Find the second-order Taylor polynomial for f(x,y)=8y^2e^(−x^2) at (1,1). (Use symbolic notation and fractions where needed.)...

Find the second-order Taylor polynomial for f(x,y)=8y^2e^(−x^2) at (1,1). (Use symbolic notation and fractions where needed.) p(x,y)p(x,y) = .

Find the Fourier series for the function on the interval (-π,π) f(x) = 1 -sin(x)+3cos(2x) f(x...

Find the Fourier series for the function on the interval (-π,π) f(x) = 1 -sin(x)+3cos(2x) f(x )= cos2(x) f(x) = sin2(x)

Find the degree 4 Taylor polynomial of f (x) = sin(2x) centered at π/6

Find the first five nonzero terms of the Maclaurin expansion of f(x)=e^-xcos(x) (Use symbolic notation and...

Find the first five nonzero terms of the Maclaurin expansion of f(x)=e^-xcos(x) (Use symbolic notation and fractions where needed.)

f(x,y)=sin(2x)sin(y) intervals for x and y: -π/2 ≤ x ≤ π/2 and -π ≤ y ≤...

f(x,y)=sin(2x)sin(y) intervals for x and y: -π/2 ≤ x ≤ π/2 and -π ≤ y ≤ π find extrema and saddle points In the solution, I mainly interested how to findcritical points in case of the system of trigonometric equations (fx=0 and fy=0). ,

f(x)=e^x/(3+e^x) Find the first derivative of f. Use interval notation to indicate where f(x) is increasing....

f(x)=e^x/(3+e^x) Find the first derivative of f. Use interval notation to indicate where f(x) is increasing. List the x coordinates of all local minima of f. If there are no local maxima, enter 'NONE'. List the x coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'. Find the second derivative of f: Use interval notation to indicate the interval(s) of upward concavity of f(x). Use interval notation to indicate the interval(s) of downward concavity...

4. Compute the minimum square error for f(x) =x/π (−π < x < π).

1.Determine the linearization of f(x)= −2.0 x^2.0−4.0 x - 4 at x=2. 2.Determine the linearization of...

1.Determine the linearization of f(x)= −2.0 x^2.0−4.0 x - 4 at x=2. 2.Determine the linearization of f(x)= (−x^2)−4/x^3 at x=−1.

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with...

(a) Find the Riemann sum for f(x) = 4 sin(x), 0 ≤ x ≤ 3π/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) R6 = (b) Repeat part (a) with midpoints as the sample points. M6 = If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b...

(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x)...

(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x) is concave up, and the intervals where f(x) is concave down, and the inflection points of f(x) by the following steps: i. Compute f 0 (x) and f 00(x). ii. Show that f 00(x) is equal to 0 only at x = −2 and x = 2. iii. Observe that f 00(x) is a continuous since it is a polynomial. Conclude that f 00(x)...

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