_et f(x, y) = xe - x². Calculate fx (x, y) and Jy (x, y).

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: This question can be solved using the concepts of application of derivatives.

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

A:

Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A: SOLUTION-

Q: Find the area of the shaded region y = 5x-x² y=x 1 (a) (4,4) YA x=y²-2 y=-11 1 (b) y=1 x=e²

A: 1aThe area is bounded by the curves y=5x-x2 and y=x.

Q: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…

Q: Provide all answers to four (4) decimal places. Applying the Gauss-Seidel method in solving the…

A:

Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

A:

Q: u = xz siny + yz cosx + xy tanz

A:

Q: Find the area bounded by the curves x² + y = 6, y = x, y = -2 and x = -2.

A: I have shaded the area green which is to be calculated

Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

Q: -1 valuate the following expression without using calculator : tan sin (³²) +cos 35 - 12

A:

Q: I co cos³ x sin x dx

A: Given problem:- ∫cos3(x) sin(x) dx

Q: 4. u = xz siny + yz cosx + xy tanz

A: Given,  u=xz sin y+yz cos x+xy tan z

Q: if a 3 letter word is formed by randomly choosing 3 letters from the word PAINTED, what is the…

A: This question can be solved using the concepts of permutation and combination.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A:

Q: If f(x) = 2x + 1 and g(x) = ln(5x − 2) then (f. g)'() = A. None of these B. 1.25 c. -0.386 D. 20

A:

Q: Write as a single function of a single angle. tan 55° - tan 17⁰ 1+tan 55° -tan 17° = [? ] ([_]°)

A: Use the formula of tan(A-B)

Q: f(x) = x² + 5x - 1

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change o ƒ(x) = 5x² +…

A: We have to find rate of change

Q: x² + 4x + 1 (x − 1)(x + 1)(x + 3) dx

A:

Q: ind the open intervals on which the function shown in the graph is increasing and decreasing.…

A: Topic:- function

Q: Solve f(x + 1)(x + 2)²(x² - 1)dx with and without the even-odd theorems (show both solutions).

A:

Q: 3 [(V) dt -

A:

Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √x, 1 ≤ y ≤2

A:

Q: b. b. y = 2 1+e-x at (0,1)

A:

Q: Consider the position function s(t) = -4.9t +31t+24. Complete the following table with the…

A:

Q: (B) Simplify the following expression sin (2 tan" x), then find the value of the following into sin…

A: 2tan-1x =sin-12x1+x2 .

Q: Given: planes II₁ : 2x - 5y + z = −1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

A:

Q: 2x fe²x sinx dx

A: Using integration by part.

Q: ind g'(3) given that f(3) = -1 and f'(3) = 5. (a) g(x) = 2r³-7xf(x)

A: Topic:- application of derivatives

Q: Evaluation. 1. Determine the antiderivative for each. Show complete solution. √ 5x³=3 dx 2. √(√x√x +…

A:

Q: the particular solution

A:

Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A:

Q: ƒ(x) = 6x - 4x 2 x² +1 on [-3,0]

A: Let's find average value of given  function on interval [ -3 , 0 ].

Q: Find a particular solution of =(x−1)² if y=-21 when x=-3. dx

A: dydx  = ( x - 1 )2   , y = -21, x = -3 we have to find particular solution of it

Q: 1. For the following sequences: Find if the sequence is arithmetic, geometric, or neither. Find the…

A: A detailed solution is given below.

Q: i can't understand your solution

A:

Q: Given: planes II₁ : 2x - 5y + z = - −1 and II₂ : x + 5y + z = 5 intersecting on a line l (c) Give a…

A:

Q: Find the value of that will make the function ƒ(z) continuous everywhere. f(x) = 4z + k, -5 0 =…

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Q: a.) Solve the equation z³ − 1 = 0 15 1 √3 b.) Evaluate (-+-+3) " 2 2

A:

Q: Arc length: Find the length of the space curve with vector equation r(t) =(4, 3cost, 3 sint ) over […

A: We have to find the arc length.   According to our guidelines we can do only one question so please…

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A:

Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: TYPEWRITTEN

A:

Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

A: