Evaluate the triple integral U= 2x - y 2 +2 ·√² ſ² ſ²*³² ƒ(x, y, z)dxdydz where ƒ(2, y, z) = 2 + 2 3 y V= and w= 2 33 22 100

Q: 1. Simplify first, then evaluate. Do not use calculator. a) logg 6-logg 3 +logs 2 b) log, 3√3

A:

Q: Find the first partial derivatives of the following function. h(x,y,z) = cos (7x+3y+z)

A:

Q: It is determinate because there is only one known force. It is determinate because there are no…

A:

Q: 7. The function f(x): the derivative (ne of the tangent line to the graph at z = 1. = is graphed…

A:

Q: 10. The position of an object moving in a straight line is given by: S(t) = -2t³ + 5t² - 10t +20 (S…

A:

Q: Evaluate the limit. x - 4xy x-4y lim (x,y) → (12,3)

A:

Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

A:

Q: / x3 + 6x2 + 6x2 (x2 + 6x + 10)2 + + 19x – 2 dx

A:

Q: Solve the differential equation with the given initial condition. dy sin x dx y+2' y = with y(0) = 3

A:

Q: 2. Differentiate each of the following functions. Leave in unsimplified form. c) 2x+5 y=-x² d) y =…

A:

Q: Replace R₂ by (-8)R₁ + R₂. 14-8-7 84 7 8 -5 1 5 2 (-8)R₁ + R₂ = (-8)R₁ + R₂

A:

Q: Find all the second-order partial derivatives of the following function. w=xsin (6x²y)

A:

Q: Suppose 3x² + 4x + xy = 3 and y(3) = = y'(3) = -12. Find:

A:

Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

Q: Solve the following pure-time differential equation with the given initial condition. X = dx - = sin…

A: Given differential equation

Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: This is question of calculusHere given conditionWe have to draw venn diagram for it.Further…

Q: Find the four second partial derivatives of the following function. 5x z = 8ye

A:

Q: 8. A laptop computer's battery has a voltage drop modelled by the function t V(t) = 20e 16, where V…

A: A laptop computer's battery has a voltage drop modelled by the function  where V is measured in…

Q: 20. If f'(r) exists at r= a, then (A) True (B) False lim f(x) = f(a) PTA

A:

Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: M 12 M Let p(x) = x³ – 5x² + 4x − 20. Verify that p(5) the other roots of p(x) = 0 over the complex…

A:

Q: Determine the interval(s) on which the function is (a) increasing, (b) decreasing, and (c) constant.…

A: From the given graph we can see that,The graph is decreasing at the interval   and at .And the graph…

Q: , find the range of the function f(x) = 2x² + 12x – 3.

A:

Q: Evaluate the limit. lim (x,y)-(-3,3) 4x²-4y² x+y

A:

Q: q12.14. Say you know that a sphere has its middle point located at (0,0,0) and has a radius of 2…

A:

Q: e) g(x) = (4x²+8)(3x4 - 11x² + 5)

A:

Q: dw Use the Chain Rule to find where w = sin 8x cos 2y, x=, and y=t4. dt dw dt (Type an expression…

A: Using to chain rule :

Q: Find | of ax 11 of and ay for the function f(x,y). f(x,y) = g(t)dt (g continuous for all t) X

A:

Q: Compute the derivative of f(x) = e^x/ x^n for constant n using the specified methods: (a) The…

A: Use the product rules of the derivative is d/dx(uv)=u*(dv/dx)+v(du/dx) And quotient rulesd/dx…

Q: If f(x) = x²/(1+x), find f "(2). f"(2) =

A: Use the quotient rules of the derivative

Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the…

A:

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A:

Q: Given the graph of f(x) below, what is the open interval(s) over which f'(x) is negative? 5 V AWNA -…

A: We know that,A function f(x) decreases where f'(x)<0 .

Q: Prove the trigonometric identity. sec z sin a = sin²x tan z+cot z Drag an expression to each box to…

A:

Q: Use the two-path test to prove that the following limit does not exist. v² - 2x² 4 lim (x,y) (0,0) y…

A:

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y² — x² + 4 and above…

A:

Q: 15-20 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the…

A:

Q: Suppose Find: (a) (fg)'(5) (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 5 g(5) = 8 f'(5) = 3 g'(5) = 4

A:

Q: Solve the following autonomous differential equation with the given initial condition. dy dt =…

A:

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A:

Q: What is the area under the graph of y= 32 543-2-1 O 6 NO AU 13 2 12345 4+ -5 155 2 1 2 3 4 5 2 on…

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: 1. Determine vector and parametric equations for the line with z-intercept 4 and is parallel to the…

A: To determine the vector and parametric equations for the line with -intercept 4 and is parallel to…

Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

A: given

Q: 2. Given that lim x-3 2 x² +ax+b x² + ax+b x²-9 2 lim x-4 the values and a and b. 2 x-9 and = 2,…

A:

Q: Which of the following is a solution to sinx+cos(3x)= 0.927 pi/4 1 pi/2

A:

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A:

Q: What is the component form of the vector represented by 6a when a = (-2, 3)? 6a =

A:

Q: Determine vector and parametric equations for the line with z-intercept 4 and is parallel to the…

A: