Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 12x +3y + 4z= 12. Evaluate the first integral. Write an integral that represents the volume in the order dx dy dz. 00 S dx dy dz 0 0 0

Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

A:

Q: (-5)" Using the ratio test to determine the convergence or divergence of the series and choose the o...

A:

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate...

A: topic - application of derivatives

Q: Consider the following. (If an answer does not exist, enter DNE.) MX) = * - 1 4x2 + 3 (a) Find the i...

A: Follow the procedure given below.

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: A. Find the derivatives of the following functions: W 1. f(x) = (-x* - 5) 2. f(x) = (-x- 4)-2 %3D

A:

Q: 21. Find the Laplace Transform of t'e

A:

Q: 7. cos(x + y), when x = 0, y - dx

A:

Q: Given: (-8, 6) sine = 3/5 4/5 -4/5 -3/5

A: We know that Sin(theta)=y/r r=√(x^2+y^2)

Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: Find a function y(x) such that 8yy' = x and y(8) = 5. y = ||

A:

Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir prod...

A: Given query is to find indicated unknown number.

Q: Given cost function C(q) = q° - 125q“ + 2500q, what quantity minimizes average cost? It would be ite...

A:

Q: y = In(x) In(x)sin(In x) In(x)cos( Inx) y(x) - cjcos(In x) + cysin(In x) cos(In(x)) + sin (In x) x>0...

A:

Q: Find an equation in Cartestian coordinates for the curve represented below in in polar form. Your eq...

A:

Q: SDT. Let f(x) = 2x- 39x + 240x + 96. Classify the critical point x = 5 of f(x) using the Second Deri...

A: topic - application of derivatives

Q: For what values of x is x³ + 23x² + 132x + 180 = 0 a true statement?

A: Here we will find the values of x where given equation satifies,

Q: 1. Find the critical number(s), relative maximum, relative minimum, absolute maximum, absolute minim...

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: The given question has been solved in detail. 

Q: 3. f(x)=(3x' +2):

A:

Q: ) Express the volume of the solid under the plane 5x - 2y + z = 4 and above the region bounded by x ...

A:

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem, t...

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: In this question we have to find the volume of the solid using disk or washers method.

Q: VI. Halla el Dominio y Rango de las siguientes funciones: 1. f(x) = 5x - 7 2. g(x) = x2 + 4 3. h(x) ...

A:

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two n...

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: Solve the differential equation. dz + 3e+ Z = 0 dt Need Help? Read It

A:

Q: Find the inverse function of f informally. f(x) = x - 2 f-1(x) = Verify that f(f -1(x)) = x and f -1...

A:

Q: The orthogonal projection of v = 10i on b = -3i + jis <

A:

Q: 32т + 4 Σ (8) Does the series converge or diverge? Justify your answer. TAn+1 n=1

A:

Q: y=

A: Topic = Derivative Aspe guidelines , at a time only one question can be answered.

Q: JA large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

A:

Q: Find the derivative of the function. +

A:

Q: Find the derivative of the function at the given point in the direction of A. f(x.у) в - 10х? + бу, ...

A: Find the derivative of the function at the given point in the direction of A .  f(x,y)= -10x2+6y,  (...

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

A:

Q: Q2: Define whether y represent as a function of x a) -5x? + y = 12 b) -2x + y? = 3

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vi + t2 lim t- o 9t - t2

A:

Q: z varies jointly as x and y. (z = 128 when x = 4 andy= 8.) z = 4xy 4x z = y xy 4 4y 4 xy

A: Given z varies jointly as x and y

Q: ,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

A: Solution is written in below steps.

Q: Directions: Please write your solution on the space provided and boxed your final answe *The Extreme...

A:

Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c....

A: The objective is to match the equivalent expressions.

Q: Given the following vectors a = (-1,-2),5 = (-3,-4),c = 2,-1), d = (-4,3) Use the dot product and sc...

A:

Q: 15 a) || dy dx answer: 4 -2 0

A: Given: I=∫-2-1∫0x3dydx   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Exponential Model. In an introductory biology lab at Brock University, students observe a certain ba...

A:

Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

A: We have to solve the given initial value problem.

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. The volume o...

A: We have to find the volume of the solid.

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

A:

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -0. (If a...

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: Find your answer below 

Q: Hint: The rate of change of temperature is proportional to the difference in the temperature and the...

A: Question: a) what is its temperature after 45 minutes  b) when will the turkey cool to 100 ° F