π sin" g 2. So cos² g dg

Q: √x +3 If f(x, y) = xy +7 the domain of f(x, y). Select one: True O False then the point (1, −7) is…

A:

Q: x-1 lim x+2+ x - 2 does not exist O +∞ 01 O -∞

A:

Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 530 W of N. Find…

A: To find out the vector product.

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

A:

Q: The partial derivative of the function f(x, y) = 4x² - 3xy + 5y - e3x+8y with respect to y is:…

A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: Một chuyển động có phương trình: R(t) = (3 sin(3t))i + (3 cos(3t))j + 3tk. Một vector tiếp tuyến với…

A: Solution ) R(t) = (3sin(3t) i + 3cos(3t)j + 3t k Differentiate with respect to t  R'(t) = 3…

Q: d ng ar k thi A 4 C A Choose 1 answer: Find sin(ZABC +60°). B 2 5 - 3 10 3 3 + 5 10 5 √3 √3 B

A:

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

A:

Q: Find 7 sin² (7x) dx

A:

Q: If then fyy = Select one: O True O False f(x, y) = 2(x² + x) (x - y)³ x² + y x - y

A:

Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips 8 6 4 2 (1.95, 7.07 0.5…

A:

Q: Consider the series Σ +∞ (-1)" n=1 n Which of the following statements is true? The series diverges…

A: Correct option (b)

Q: Which of the following is a valid triple integral?

A: Which of the following is valid tripple integration

Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: Given the functions f(x, y) = 4 cos(4x - 6y) and g(x, y) = -6 cos(4x - 6y). af The partial…

A: Here we have to use the concept of partial derivatives

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: f(x, y) = 6√x - y²e-³xy е a) b) + elw Find få and fy. Evaluate frzy (4, −1).

A:

Q: Let Find fy. f(x, y) = x²y + √√x + 5y

A:

Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

A:

Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: (x¹+y¹) dx - xy³ dy = 0 [Answer: y = 4x¹logx + Cx¹]

A: This question is based on Homogeneous differential equation.

Q: Which of the following is a valid expression for cos ¹ x? 04-sin-¹ a 01/2+ + sec¹ a 1 sec-1 01-…

A: The given expression is cos-1(x)We have to find the valid expression for cos-1(x)

Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…

A: Here, the given function is: f(x,y)=3xy4x2+2y2

Q: he domain of the fur

A:

Q: Choose the correct answer for the following limit: x²-812 lim (x,y) (0,0) x +9y Select one: O A.…

A: We have to calculate the limit.

Q: The limit lim (x,y)→(4,-5) exists and equals to Select one: O True O False 25x²-16y² -5x-4y -40

A: Given the limit is  limx, y→4,-5 25x2-16y2-5x-4y.

Q: A y=1 x=y² B y=x² C (1, 1) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1,…

A:

Q: Write the system of equations 3x 2y4z = -3 5x + 5y + 4z = 1 - 4x + 5y + 4z = 3 as a matrix equation,…

A: Given: equations: 3x-2y-4z=-35x+5y+4z=1-4x+5y+4z=3matrix equation is AX=BA[xyz]=Bwe can write the…

Q: For the limit, lim (x,y)→(0,0) sin(x² - y²) x² - y² if we approach along y-axis, we will get 1.…

A:

Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: Explain why the vectors u₁ = (2, 4,-4) U₂ = (-4,-8, 8) form a linearly dependent set of vectors in…

A: To find the reason for the given vectors to be linearly dependent.

Q: ax+ 2 x ≤ 2 f(x)=4-x², 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find…

A: To find out the value of a as f(x) is continuous at 2.

Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

A:

Q: 3) [3 Consider the DE: -(4x³y – 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: For a differential equation Mdx+Ndy=0  to be exact if ∂M∂y=∂N∂xand solution of a exact differential…

Q: The limit: does not exist Select one: O True O False x² - y² lim (z,y) (0,0) 4x + 4y

A:

Q: After successfully passing the Technical Written Examinations, you're now at the PRC Main Office ta…

A: Given: there are 5 registrations specialist on different windows faciltaiting registrations, the…

Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

A:

Q: is

A:

Q: Based on the given graph, determine the zeros of the function and note multiplicity (even or odd).…

A:

Q: circle is inside a square. The radius of the circle is decreasing at a rate of 3 meters per hour…

A: Here we have to use the concept of derivatives

Q: A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³ = 4x²y³ Determine dy/dx…

A: See this solution in below

Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

A:

Q: The limit exists and is equal to 0. Select one: O True O False lim (x,y) →(0,0) 36x²+25y² 6x+5y

A:

Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: f(x, y) = ln (2x) In (3y) + x - y - xy +3, then fxy(2, 2) is equal to Select one: 0 -2 None of them…

A:

Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given that point 2,6,-8   and vector or line ,n=jTo  find : equation of plane Solution :Direction of…