Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is u· (v x w)| to determine the volume of 6. the tetrahedron with vertices P(-4,4,0), Q(2, 1, –-3), R(1,0, 1) and S(3, -2, 3). NOTE: Enter the exact answer. V ||

Q: 2 1 - Find the eigenvectors of the matrix

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the ...

A:

Q: If f(x) = 6 cot +4, then find the value of f'(-4) is

A:

Q: You organize an 8-hour training for 6 hourly, local employees. The training is led by the manager wh...

A:  Given that an 8hour training for 6 hourly,local employees.The training was led by manager who's sal...

Q: Quantity 10 20 30 40 50 60 70 80 Cost ($) 120 360 620 740 1000 1340 1780 | 2520 3400 Revenue ($) 0 3...

A:

Q: Let f be a function defined by z = f(x,y) = 3xy² – 4y. Find the approximate change in z when x chang...

A:

Q: 2 P2(x) = 7 .2 =17 9. - - 2 2 9. P3(x) =|7 – 2 - 2 7 7 2 9. + 24 9. PA(x) = - - | 2 [72] Pn(x) = 7(-...

A:

Q: Glven A = and B=. Determine the components, magnitude, direction angles of the vector B – 2A. Sketch...

A:

Q: dy Find using implicit differentiation, for the equation + 10 is_ dx

A:

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per request Solve d, e and f part only

Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: 1. Find the value(s) of x that satisfy x? - 3.5x + 1.8 = 0. 2. Differentiate y with respect to x of ...

A: Given :1. x2-3.5x+1.8=02. y=x2x+1

Q: What is the general solution to the differential equation (e*y² cos(y) + x)dy + (e*y² sin(y) – y)dx ...

A:

Q: Find all inflection points of the function given, and then find the regions where the function is co...

A:

Q: (x² - x') 6. Reciprocal Substitution -dx 3

A:

Q: Approximating Function Values In Exercises 43-46, use differentials to approximate the value of the ...

A:

Q: d²y dx2 5x2 + 1

A: Given :d2ydx2=5x2+1

Q: Let f(r) = a and for each real number n > 1, define the function In(x) = 1 – (i) Find the area A, bo...

A: Two function are givenfx=x2gnx=1-1-xn     where n≥1.

Q: A trucking company transports goods between two cities that are 960 miles apart. The company charges...

A: The load is fixed: C(x) is a constant based on the rate for an interval  

Q: Evaluate lim p(x) which P(x)={-+1, x1 O A. lim p(x)=0 and lim p(x)=0, then, lim p(x)=0 lim_ p(x)=-2 ...

A:

Q: Find the area of the triangle with vertices P(1,6, -5), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the exa...

A:

Q: Question 3 Evaluate the Integral |(4-3sin2p)+ cos28 dp. (A 30 -(4– 3sin2ß) $+ C B -(4– 3cos2B) 5+ C ...

A: lets assume that u = 4 -3sin2β du/dx = -6cos2β dx = -du/6cos2β   ∫ -u4du/6 -u5/30 +c now put the u v...

Q: 2x2 + 1 dx 2. ") (x - 1)(x - 2)(x – 3)

A:

Q: 5x2 + 1 dx2

A:

Q: -x' +10x? – 5x+15 dx Partial Fractions x’(x² +5)

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we ...

Q: In order to give the complete solution of a nonhomogeneous linear differential equation, a particula...

A: Complete solution of a non homogeneous differential equation is given by as follow. 

Q: 3. Find the relative maximum and minimum values and saddle point(s) of the function, S(x, y) = 2a + ...

A:

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per Bartleby guidelines rule I am answering only top 3 questions.

Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: dy Find using implicit differentiation, for the equation a + y = 10 dx

A:

Q: y=x and y = x3.

A:

Q: Find the area of the shaded region. y 2 x = y -9 y= 1 /x= e -10 -8 -6 -4 -2 2 4 Hy = -1 -2

A: To find the area of the given region.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

A:

Q: tan¬'(5x) y = V(4x – 3x°)³ xª

A:

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C f...

A: ∫ xcos4xdx u =x          dv = cos4xdx ∫u*dv = uv - ∫ vdu so for v integrate dv ∫dv =v = (sin4x)/4 ∫...

Q: Find the derivative of each function using the definition of derivatives. Use the formula of defini...

A: derivative

Q: Find the complete solution for the DEs.

A:

Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular coor...

A: A)(x,y)=(3,4)r=x2+y2r=32+42r=25r=5θ=tan-1yxθ=tan-1(43)θ=53.13°B)(x,y)=(6,-8)r=x2+y2r=62+(-8)2r=100r=...

Q: A linear function is given. Complete parts (a)-(d). g(x) = - 3x +4 (a) Determine the slope and y-int...

A:

Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

A:

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: 2. Find the equation of the plane tangent to the elliptic paraboloid z = point (1, 1,3). 2.a2 +y, at...

A: To find out the equation of the plane tangent to the elliptic paraboloid. 

Q: Solve the following incqualities -21 < 4

A: To Solve : Inequality : 1x-2&lt;4

Q: x²74X+2

A: find roots of quadratic function. 

Q: sin°(x)cos*(x)dx 2, 4

A:

Q: A potato is launched vertically upward with an initial velocity of 111 ft/s from a potato gun at the...

A:

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4,1). NOTE: Enter the exac...

A:

Q: Evaluate the following: 1. S"(1– x)e¬*dx

A: