3D Cartesian vectors Use the right hand method to draw a 3-D Cartesian plane with three labelled axes Also, using the plane, you have drawn draw a vector with its tail at the origin and it’s had a point P (1,-6,4) Determine the magnitude of the vecto

Q: a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the…

A: The equation of the quadric surface :z=x2+121y2  ...................(i)(a)  To find x-intercept put…

Q: Consider the function f(x), whose graph is composed of two intersecting line segments shown below:…

A:

Q: Suppose a certain country's population has constant relative birth and death rates of 97 births per…

A:

Q: A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of…

A:

Q: Write first five terms where first term is -19 and common difference is d = -3

A:

Q: Find the area of the surface. the part of the cylinder x² + z² = 64 that lies above the square with…

A: Take the partial derivatives and  form the integral to get the area.

Q: Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series…

A:

Q: a. Find a power series representation for x4 1+x5° b. Using your answer in (a), find a power series…

A:

Q: C) Find the area of triangle PQR. Give your answer in the form k√17 where k is an integer.

A: We have point Q(1,0,6) and R(17,4,-22). From part a , P(11,-5,-4).

Q: The vertex of the graph of f(x) = |x| is (0, 0) and the vertex of the graph of y = -4f(5(x - 5))+7…

A: Use the translation of the graph.

Q: find F'(x) f(x) = 7 +1

A: The function is given byTo determine: The first derivative of the function.

Q: lim x→0 lim x→0 e. lim csc x-cotx sin x 1-cos.x 2.x² COS X 4x

A:

Q: 6. Parallelogram ABCD has its sides by AB = [5,2,3], and AD= [4,2,5]. Its fourth vertex is point C.…

A: We will use vector notation to find area first then calculate required side.

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. A…

A:

Q: 2- What is the equation of the tangent line at f(x) = √cos x when x = 0?

A:

Q: Given f(x) = |x + 6 | x + 6 . Find: lim x→4+ f(x)

A:

Q: e function. (Enter your answer using interval -x²

A:

Q: c) If -3x5 + x + 4y² - 7y = 13, find da in terms of x and y.

A:

Q: 1. Jacy keeps track of the amount of average monthly rainfall in her hometown. She determines that…

A:

Q: The RideEm Bicycles factory can produce 110 bicycles in a day at a total cost of $10,300. It can…

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: 1) Solve the following LP using the Dynamic Programming Min Z= 4X1 + 5X2; X1 >=0 X2>=0 6X1 + X2 <=…

A: The given LPP isMin:Z=4x1+5x2 Subjected to the constraints6x1+x2&lt;=252x2&lt;=124To draw the given…

Q: Write an inequlity comparing n²-2 n5 +2 (Express numbers in exact form. Use symbolic notation and…

A: The given quantities  and .We have to write the inequality that compares the given quantities.

Q: a) b) Curve C has equation y = tan³x - cos²x. Find the equation of the tangent to curve C when x =…

A: solution are given below

Q: The pH of a solution is given by the formula pH = log 10- in which H+ is the concentration of…

A: The pH of a solution is given by formulaWhere,  is the concentration of the hydrogen ions in gram…

Q: Find the area of the region bounded above by y = x + 2 and below by y * -4 -2 0 2 4 -2- x²

A:

Q: or divergence of the series using any appropriate test from this chapter. Id eries Test ries Test…

A:

Q: РОФ 0 TO 0, п,

A: The spherical coordinates are given as ,Transform the spherical coordinates to rectangular…

Q: Problem 8. rπ/3 Evaluate the iterated integral *** cos(x+y+z) dzdxdy. Answer:

A:

Q: 2. Find the limit. Show your steps. (a) lim x18 X √x² + 3x + √√√x² + 2x (b) lim x18 4 (x + 1)¹ (2x²…

A:

Q: Solve the differential equation x (y')² + 2xy'-y=0

A:

Q: Determine whether the given function is a polynomial function, a rational function, or some other…

A:

Q: Solar Power More and more businesses and homeowners are installing solar panels on their roofs to…

A: Given that ,

Q: 1. Find f cos (√x)dx

A:

Q: L₁ = 10logio where L, is the magnitude of sound intensity (decibels), and is the reference intensity…

A: The magnitude of sound intensity is given byWhere  is the reference intensity.To determine: The…

Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the…

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A: The base of the three dimensional figure is bounded by the circle Hence ,

Q: A region bounded by f(x) = -x² + 5, y = 1, and x = 0 is shown below. Find the volume of the solid…

A: Form the integration using washer method

Q: An object is moving along a horizontal path shown in the graph. 5+ 4 3 2 -N 1 نان -2 -3+ تنط 4 -5 Y…

A:

Q: Find the functions f + g, f — g, fg, and g f + g = f- g = fg = f g = f(x) = √x − 3; g(x) = x³ + 3

A: Find the functions f+g, f-g, fg, and f/ gf(x) = √x-3; g(x) = x3 + 3

Q: Tim ((sin()+ sin(2) - sin(3) + (-)))- sin( = n I. lim Σ n→ ∞ k = 1 n III.2 π 11. sinix sin(x) dx II.…

A:

Q: Consider the path shown in the following diagram. YA -2 2 Select one: 1 0 1 www P 2 X -2 Select the…

A:

Q: Verify Green's theorem for the indicated region D and boundary 3D, and functions P D = [−4, 4] ×…

A: here the given question is P(x,y)=x and  Q(x,y)=y

Q: Determine whether the equation defines y as a linear function of x. 15√x + 9y = 0 Yes No If so,…

A:

Q: y = e²x + 5 (In 3, 14) (In 27,0) x Figure 1 Figure 1 shows the curve y = e²x + 5 and line I which…

A:

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A:

Q: 4. Find the limits. Show your side work. (a) lim - 2 X- x-3-x-3 (b) lim cotx x→π+

A:

Q: 3. Find the tangential and normal components of the acceleration vector at the given point. (a) r(t)…

A: Find the tangential and normal components of the acceleration vector at the given point.

Q: Crude oil imports to one country from another for 2009–2013 could be approximated by the following…

A: NOTE: Refresh your page if you can't see any equations..The given function is,where t is the number…

Q: Problem 5. Evaluate fff f(x, y, z) dV for the specified function f and B: f(x, y, z) = [SS® ƒ (x, y,…

A: solution is given below