Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is 1 Ju. (v x w)| to determine the volume of the tetrahedron with vertices P(-3,2,0), Q(2, 1, –3), R(1,0, 1) and S(3, -2, 3). NOTE: Enter the exact answer. V

Q: 5 x - 2 Horizontal Asymptotes. Find the horizontal asymptote of f(x) = 4 x2+5 x-2 O y = 0 There is…

A: The given function is: To find the horizontal asymptote.

Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

A:

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

A: This is a problem related to function calculation. Based on the graph we can find out the interval…

Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

A:

Q: Ship A is 50 nautical miles west of ship B. Ship A is heading east at 10 knots and ship B is heading…

A:

Q: 6. If f(x) = 7 + + find f'(x). Find f''(x).

A:

Q: Integrals. Given that 0. -1 f(x) dx = -2, | f(x) dx = -1 and -5 f(x) dx = 8 -5 what is 2f(x) dx? O7…

A:

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

A:

Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Our Aim is to set up the form for partial fraction decomposition given that:--12x-9x+85x-1-(i)

Q: 8, evaluate and simplify the expressions below. See special Given the function f(x) = 6x -…

A:

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

A:

Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: Change the following polar coordinate points into rectangular coordinate points. Leave all answers…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: 14

A:

Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: 4. y = Vesinx + 2

A:

Q: Question Evaluate the following limit using L'Hospital's rule. 168 2.x lim X12 [5x2 - 85x + 300…

A: topic - limits

Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: 15 dx +C + x2

A:

Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

A:

Q: Domain. The domain of 8/x + 8 g(x)=. 3x2 - 12x + 9 can be written: O (-0,3) U (3,8) U (8,00) O…

A: The given function is: gx=8x+83x2-12x+9 To find the domain of the function g(x).

Q: 1. ſ e*sinx dx

A:

Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

A:

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: The given function is;  f(x)=-6x/(6x2+8).

Q: If e = then %3D 4. sin(0) = %3D cos(0) = Give exact values. No decimals allowed!

A: Follow the procedure given below.

Q: -13y+1 2y+3y-5 olo

A:

Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

A:

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q -0.7q + 635. The…

A:

Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

A:

Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

A:

Q: Evaluate the line integral fe 3y dx + z? dy + (25 - x) dz over the quarter of the circle of radius 5…

A:

Q: (-1)" Clasificar la serie como absolutamente o condicionalmente convergente E1 n5 O Diverge O…

A:

Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

A:

Q: 17. SHOW ALL WORK Use De Moivre's Theorem to evaluate the expression. Write the result in standard…

A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

Q: 1. In items a through c, do the following () Sketch the graph of the function; (ii) determine if fis…

A:

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: Consider the following. g(x) = (5x – x³) h(x) = (3x + 4) f(x) = (5x – x³)(3x + 4) Find g'(x) and…

A: gx=5x-x3hx=3x+4fx=5x-x33x+4

Q: 4) Owners of a boat rental company that charges customers between $85 and $375 per day have…

A:

Q: Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a…

A: Solve the following

Q: 4) With respect to the origin 0, the points A and B have position vectors given by OA = i+ 2j + 2k…

A:

Q: 1) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.1., # 37 or from your…

A:

Q: What is the value of the definite integral 61 +2 dt?

A:

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A:

Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

A: