3. Find the absolute extrema of the function f(x) = vx - x on the interval [0, 1]. %3D

Q: Tokal dexivetive of f i) Fxy)=In(xy), kind at xzl yal.

A:

Q: Find the most general antiderivative of the function. f(x) = 3ex + 4 sec2 x

A:

Q: 2. dy sin x - y where f(n) = 0. %3D dx

A:

Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

A:

Q: f(x) = xe (1+e*)

A:

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: B)ls w = z²1² analytical function or not?

A:

Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: 4. Find the absolute extrema of the function f(x, y) = ry-x-3y on the triangular region with…

A: To find the absolute extrema of the function f(x,y).

Q: What is the local linearization of f(x) = near x = 1? NOTE: Enter your formula exactly, or round…

A:

Q: Find the most general antiderivative of the function. f(x) = + 3 cos x

A:

Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = 7x² + 2, [-1, 2] -(0,2…

A: The answer is given below:

Q: 6. Locate the absolute extrema of the function H(x) = - x* Inx on 1 3 2' 2 Give exact solutions.

A: We have to find out absolute extrema

Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: The linear approximation at x 0 to f(x) = sin(6x) is:

A:

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

A:

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

A:

Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

A:

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

A:

Q: What is local linear approximation for f(x)= e*" -6* near x = 0? Note: Must show answer is equal to…

A: Hey, since there are multiple subpart posted, we will answer the first question. If you want any…

Q: For what function P is the integrating factor α(x) equal to x?

A: We know that , integrating factor of the differential equation is

Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give…

A: Given: fx=x2sin1x,x≠00,x=0

Q: Find a nonzero value for the constant k that makes the function tan(kx) x < 0 f(x) = Зх + 2k?, x 2 0…

A:

Q: 11) Find the antiderivative: f -3+6√x³ √√x dx

A:

Q: At what value of x is f(x) a minimum when f(x) = L* et*dt?

A:

Q: Find the absolute maximum and minimum values of the function y = 10x(2 – In x) on t interval (0,…

A:

Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: Examine the Function For relative extrema and raddle points. 80 x + 80y-x 2. h(x.y) %3D

A: Consider the function as shown below We have to find the partial differentials of first order of…

Q: Find the absolute extrema of the function on the closed interval.                         y = 3 cos…

A: The given function is y=3cos x on 0,2. Compute the critical points on the given interval as follows.…

Q: Find the critical points for the function f(x, y) = x² + y³ + 2xy – 2x – 7y. (You do not need to…

A:

Q: The general solution of Besseal function is given by y = c,J,(x) +y,(x)

A: Given statement, The general solution of Bessel function is given by y=C1Inx+ynx

Q: Find the extreme values of the function f (x, y) = e¬¤y given that (x, y) must live in the region…

A:

Q: 14. Evaluate y" or d'y of the function when x = 0. dx'

A: To find the y'''for the given equation 13x3+13y3=132  at x=0

Q: What is (V | and find the relative minimum dx point as indicated by the black dot on the graph at…

A: Here we have ;  y=xx ..................(1) taking log both of sides

Q: 4 + where f(1) = -2. y : dx 业

A: If (x, f(x)) is a point where f(x) reaches a relative maximum or minimum, and if the derivative of f…

Q: Find the extreme values of the function f at the region of x2 + y² = 4 where: F (x, y) =x² + 2y²-2y…

A: The extrema of the function can be calculated by calculating the derivatives of the function. First…

Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: y is a function of  x and the slope of the function is zero at x=10 then to determine that y reaches…

A:

Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

A:

Q: Suppose that the tangent line to the graph of y = f(x) at x = 2 is y = 4x – 3 and that the tangent…

A: The given tangent line to the graph of y=fx at x=2 is y=4x-3 and the another given tangent line to…

Q: 2. Find the number of extrema of the function f(x, y) = (x – 1)² + y² – 4y. If there Is no extrema,…

A: We are asked to find the number of extrema of the function.

Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…

Q: Differentiate the function. y=[(sx +2x+3) (x-3)]² dy dx II

A:

Q: Find the general antiderivative of the function f(x) = +3 sin x - : 1 1+x?

A:

Q: Let f (x) = 2x* – 3x3 + 5x + 1. Find the value of df-1 at x = 1. dx

A: We have given function;

Q: dw b) If w = (x + tanx). (Vx – 1), and x = tan (cost) find dt

A: