a) Find the area of the triangle with vertices A(-2,5,1), B(3,-5,-2) and C(3,2,-4) using vector multiplication b) Find the volume of the parallelepiped determined by the vectors u = (-3,5,2), v = (1,-4,2) and w = (1,2,-3) %3D

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Prove that a vector lying in the (hkl) plane must satisfy the following equations: a) R= (A/h) a +…

A:

Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

A:

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find the…

A: First we need to detect the series as divergent or convergent and then find the value if it is…

Q: in find laplace %3D

A:

Q: A 2-ft-high and 5-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft…

A:

Q: Find the area of the region bounded by the graph of f(x) = Jx, the y-axis, and the tangent line to…

A:

Q: 7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-1xx+ n - 1…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

A: The solution is given below

Q: For what value of x does the function g(x) = (x? – 4)2 attain the absolute maximum in the…

A:

Q: Given: dx a) Find the general solution to the differential equation: b) Find the particular solution…

A:

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

A:

Q: CQueslfon (2): sketch and hind Range- 1) fx)= (x +2) -4 2) frx)= 4-Vx-5 7) ) fox)= - Ix +3 +5 u)…

A:

Q: The revenue of a multimillion corporation (in million pesos from 2000 to 2010 is modeled by…

A: In this question, we will find the rate at which the company's revenue is changing in 2008.

Q: 12. The terminal point P(x,y) determined by an angle t (a) cos (t) (b) tan (t)

A:

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0)

A: To use polar coordinates  that are: x=r cos θ, y=r sin θ & dA=r dr dθ 0≤r≤2-cos θ0≤θ≤2π

Q: 2х + 1 J (x – 2)(x – 3)²ax

A:

Q: The region {(*+y)|x2-7, 0syse} is is represented below. Find the area of this region to two decimal…

A:

Q: For what values of K is the following integral improper? 5x dx x2 - 19x +90

A:

Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

A:

Q: A fence must be built to enclose a rectangular area of 20,000 ft2. Fencing material costs $3 per…

A:

Q: Find dy/dx of the following function

A:

Q: a) ū =(4,8,2) and v = (1,4,6) %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (-() Write the linear system in matrix form. Assume X = dx = x - y + z + t – 1 dt dy dt = 2x + y – z…

A:

Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members…

A:

Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

A:

Q: Sin 5

A:

Q: Write an equation of a rational function, in general form, which satisfies the following conditions:…

A: This is a problem related to function calculator. Based on the general concept we will answer the…

Q: 3+ 2 10 2 -1 1 2 -1- Figure 1.2.1: Graph of y = g(x) for Preview Activity 1.2.1. %3D 3,

A: In order to get this question we need to use the knowledge of limits.

Q: 1. Find the missing coordinate of point P using the fact that P lies on the unit circle in quadrant…

A:

Q: Month: Q/ Finc 4he X-c (x)

A: f(x)=x3-x2+2x2

Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

A:

Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

A:

Q: How do we estimate lim,- f (x) NUMERICALLY? O pick one value of x close to "a" to see what f(a) is…

A: Find your answer below

Q: Given the following information of a triangle, match the missing side or angle with its value. A =…

A:

Q: (b) Convert 400° into radians. Write your answer as a simplified fraction (no decimals, please)

A: As you mentioned only  14 B solved

Q: f(x) = 5x4 − 2x5,    F(0) = 8 Find the antiderivative F of f that satisfies the given condition.…

A:

Q: x² +1 4. хе'dy+ +In |x=c Separate the variables and ans: e'(y-1)+ y 5. 2xy dy 1 dx y? = x? +c 3…

A:

Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

A:

Q: Solve the following equations= dy (x² Jy 1- dx

A: I have stated the used formula in the solution.

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by…

A:

Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

A:

Q: Aşağıdaki başlangıç değer probleminin t = 1 noktasındaki yaklaşık çözümünü Euler yöntemi uygulayarak…

A:

Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: The volume of a right circular cylinder of radius X and height y is given by V= TtX¯y, Suppose that…

A:

Q: Let A = For which values of a and b will A have the eigenvalues 2 and 3?

A: The given matrix,      A=a1b0

Q: 18. Given the two unit vectors A= fi+ šj-k and B=-ži+ šj+ {k If 0 is the radian measure of the angle…

A:

Q: would need some help to find the Taylor series for f(x) centered at a = 9 for f(x) = 1/√x, please?

A: We have to find the Taylor series at centered a=9

Q: [sin(nx)dx 74 76 |sin(nx)dx

A: