Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 2i + 4j - 4k, b = 3i - 3j + 2k, c = −2i + 2j + 4k

Q: Find the distance from the plane x+2y+oz = to the plane x + 2y + 6z =

A: We are asked to find the distance between the planes

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A: For the given question ∆x = 4 midpoint with n = 4 is M4M4 = ( a1 + a3 + a5 + a7 )∆x

Q: Find 4 √₂ (4aº + 3a³) da -2

A: Given integral:- ∫-244x6+3x5dx

Q: The first term of an arithmetic sequence is 11, and the tenth term is 3. (a) Find the common…

A:

Q: Use the Laplace transform to find the charge q(t) in a series RC circuit when q(0) = 0, E(t) =…

A: The given differential equation is: Rdqdt+1Cq=E0e-kt The conditions are given as:…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: The Union Pacific's Big Boy locomotive could pull 6000-ton trains with a tractive effort (pull) of…

A:

Q: Since tan x, cot x, sec x, and csc x are all quotients of sine and cosine functions, what derivative…

A: we need to find which derivative rule is used.

Q: What is the standard form equation of an ellipse that has vertices (-2, -18) and (-2, 8) and foci…

A: Here is the solution

Q: Evaluate the following integrals. Do not use formulas from the Integration Tables (section 7.6) (a)…

A: We have given to find integral  I= ∫tanx·sec3x dx Let, secx=t secx.tanx dx=dt I=∫t2 dt I=t2+12+1+C…

Q: 2. Evaluate dx + (-xy + x²) dy along C: y² = x from (0,0) to (1,1).

A:

Q: Using horizontal rectangular elements, which of the following definite integrals give the volume of…

A: Please see the below picture for detailed solution.

Q: Suppose is a real number constant. Evaluate the limits, writing your answer in terms of 3 where…

A: Suppose β is a real number constant. To evaluate the following limits.A limx→1+ β cosπxx2-xB limx→0…

Q: What rule is faster to use to find ? d d.x (52) O The Constant Multiple Rule O The Product Rule

A: we need to write down the rule which is more suitable to use here.

Q: Identify any vertical and horizontal asymptotes for the following graph. Write a limit statement to…

A:

Q: 6 5 4 3 2 بدر y = f(x) 17 01 2 3 4 5 = 6 7 8 9 Find the following limit. Enter DNE for undefined or…

A: Graph of the function y=fx is given. We have to find the limit limx→8+fx.

Q: What is 1 da x√9x² - 9

A: Given,            ∫dxx9x2-9

Q: The table below shows values for f(x, y). x values are down the side, and y values are across the…

A:

Q: find dy/dx  y= 3/secx - tanx !!! But do it by converting sec and tan to 1/cos and sin/cos

A:

Q: List each of the mistakes in the following calculations: d a) [(cos z)] = x(cos x)²-1 da d b) [(cos…

A:

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is r=2sin(2θ). The objectives are to calculate the points where the tangent…

Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

A:

Q: Find the radius and convergence of the following: xn Σ (n!)2 n=1

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: Suppose that 40 students were asked how many courses they were taking this semester. The…

A:

Q: #1₁ S (3) Find d dt 1+ t²

A:

Q: EXAMPLE 4 Suppose the average waiting time for a customer's call to be answered by a company…

A:

Q: The function f(x) - 2x³ + 30x² - 126x + 7 has one local minimum and one local maximum. This function…

A:

Q: 10) Owners of a bike rental company that charges customers between $5 and $50 per day have…

A:

Q: Refer to the graph of y = f(a) with secant line PQ and tangent line PS. O PQ O PR O QR OQS OOO…

A: By the definition of dy  dy = f(x+ ∇ x) - f(x)

Q: Find 3 - 2 749 (2x² + 4x5) dx

A:

Q: The rabbit population at the city park increases by 15% per year. If there are intially 164 rabbits…

A:

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-18…

A:

Q: Solve the problem. Let A = O -5 Define a transformation T: R³ -> R² by T(x) = Ax. Find T(u), the…

A:

Q: Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are…

A: we need to find the height.

Q: 2. For the following telescoping series find a formula for the nth term of the sequ evaluate lim S₁…

A:

Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

A:

Q: Question 9 Evaluate the definite integral 8 (10a + 5) da > Next Question

A:

Q: Consider the following. 2 2 Find an equation of the ellipse. X 6 8

A:

Q: Q8: Can you answer all the parts to this question, with the working showing clearly

A:

Q: Evaluate the limit: 1x + 9 lim x 9 x² + 2x - 63

A:

Q: Graph the hyperbola given below using the transverse axis, the center, the vertices, and the…

A:

Q: Assume f(x) = arcsin (g(x)) fg(3) 01/0 O O 0 2 01/1/20 1 and (3) #2, what is f'(3)?

A: To find the derivative with respect to x.

Q: What is the value of O12+ In 2 06+In 2 06+In 8 O 10+ In 8 O 12+ In 8 +1 [^² ²² +¹ dz X

A:

Q: True/False 1) If f is decreasing on (a,b) then f'(x) <0 for each x in (a,b) 2) If f'(c)=0 then f has…

A: Since you have posted multiple questions i can do first three questions as per our company…

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

A:

Q: Find the volume of a parallelepiped if four of its eight vertices are. e A(0, 0, 0), B(1, 2, 0),…

A: Given; A(0,0,0), B(1,2,0), C(0,-3,2), D(3,-4,5).

Q: Find the linear approximation to the equation f(x,y)=3√ at the point (4, 6, 6), and use it to…

A:

Q: Find the area of region enclosed by=t-t², y=t-t³, 0≤t≤1 using Green's Theorem.

A:

Q: Evaluate the integral. 16 4 6 sinh (Vx) √x dx

A: