Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

Q: A follasng vector fiebdo are conserva hal function. c)

A: We have to find the potential function if the given vectors are conservative vector field

Q: Question 1 Given y = Va - 2Vr 2; Find y'. 1-Vオ-2 %3D 2(-2) 7 O (E) None of the choices Va-2-1 Oy =…

A:

Q: Find an equation of the plane that passes through the point P(2, 5, 1) and has the vector n = (1,4,…

A:

Q: time (sec) velocity (ft/sec) 11 1 19 2 20 3 12 4 3 1 8 feet

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (20, 8, -4) Vw(20, 8, -4) =

A: The expression for the gradient vector is:…

Q: 1 Use a limit comparison to test the convergence of |n+1 n=1

A: Given series ∑n=1∞1n+1 Recall limit comparison test

Q: Consider e" S- for all a E R. a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: owing graphs IS fit is continuous/differentiable, and (x) if it is not continuous/differentiable.…

A:

Q: 4. x - 3

A:

Q: Use the Root Test to determine whether the series convergent or divergent. (3n – 1)" Ln=1 n2n

A: The objective is to use root test to determine whether the series is convergent or divergent.

Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

A:

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 9 tan -); P(-10, 10); а…

A:

Q: Find the vector equation for the line of intersection of the planes 2x – 2y – 5z = 5 and 2a + 2z = 1

A: Given  equation of planes 2x-2y-5z=5 2x+2z=1

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

A:

Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

A:

Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

A:

Q: Consider e": for all æ E R. n! a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

A:

Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

A:

Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Let f(x) = x2". Use logarithmic differentiation to determine the derivative. f'(x) =

A:

Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

A:

Q: Determine the period of the following periodical functions. i. sec x ii. cosec x ii. cot x iv. sin…

A: Take the help of period of the functions Sinx, Cosx and Tanx.

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

A:

Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A:

Q: en Test the series for convergence or divergence. E n3

A: Ratio Test: Suppose we have the series ∑an. Define,  L = limn→∞ an+1an Then, If L&lt;1 then the…

Q: Find the vector component of v = 2i - j+ 3k along b = 4i + 8j + 8k and the vector component of v…

A:

Q: raph the following horizontal parabola, and give the domain and range. Ay 10 x- 4 = - 2(y - 3)2…

A:

Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

A:

Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Solve y + 4xly = x°, y(1) = -6. (a) Identify the integrating factor, a(x). a(x) =| (b) Find the…

A:

Q: (3) Find the position function of the particle at time t ≥0. a(t) = 3t −14, v(2) = 0, s(−1) = 2

A:

Q: Find the remaining trigonometric ratios. 7 csc(0) = Зл < 0 < 2n 2 6 sin(0) cos(0) tan(0) = cot(0)…

A:

Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

A:

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: Describes the differences between Direct and Inverse variation.

A: Direct variation:The quantities are said to be in direct proportion if:  An increase in the quantity…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: 1. Let p be a positive number. Express cos(x)dx as a series, if possible. If not possible, explain…

A: To solve the following problem

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

A:

Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

A:

Q: Determine whether the statement is true or false. If the line x = 6 is a vertical asymptote of y =…

A: Please see the answer below.

Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…