Differentiate x4/y8 with respect to x, assuming that y is implicitly a function of x.
(Use symbolic notation and fractions where needed. Use y' in place of dy/dx)
Differentiate x4/y8 with respect to x, assuming that y is implicitly a function of x.
Differentiate the function with respect to x y=1/4.x4 + 1/3.73 +1/2.62
() (ii) Differentiate the following expression implicitly: (1+e%*)? = 3+In(x+y) Find the value of y and the value of f'(x) (ie dy/dx) when x=0.
Change the order of integration. 6" | vx2 + 16 dx dy The answer should be in the form See f(x, y) dy dx, where a sx sb and g1(x) < y = 82(x) are the bounds of the integration region. (Use symbolic notation and fractions where needed.) a= b= 81(x) = 82(x) = Evaluate the integral with new limits of integration. (Use symbolic notation and fractions where needed.) 6" Sv Vx3 + 16 dx dy =
3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value of the function minimum value of the function cBook Hint 3 Find the minimum and maximum values of the function f(x, y)= x +y subject to the constraint x + y 1250. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value...
3. Find the minimum and maximum values of the function f (x, y) = x2 + y subject to the constraint x y = 162. Use the Lagrange Equations. (Use symbolic notation and fractions where needed.) maximum value of the function| minimum value of the function 3. Find the minimum and maximum values of the function f (x, y) = x2 + y subject to the constraint x y = 162. Use the Lagrange Equations. (Use symbolic notation and fractions...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
1 point) Sketch the graph of the function y = x(4-2) - 103 In x. Indicate the transition points (local extrema and points of inflection) (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of e-coordinates. Enter NULL in answer field if there is no such point.) Local maximum at = help (fractions) Local minimum at I= Inflection at I= (1 point) Sketch the graph of the function y = 81x +...
Find the minimum and maximum values of the function (x, y, z) = x + y + z subject to the constraint x + 8y + 32 = 6. (Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.) minimum: maximum:
Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =
Find the Maclaurin series for f(x) = cos (x*). (Use symbolic notation and fractions where needed.) cos (x4) = E O Use the found series to determine f(8)(0). (Use decimal notation. Give your answer as a whole or exact number.) f(8)(0) = TRIGONOMETRIC ALPHABET MORE HELP mn 4 of 6 > Compute the limit by substituting the Maclaurin series for the trig function. (Use symbolic notation and fractions where needed.). sin (9x) – 9x + 2 lim X-0