Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1, 6).

Q: Describe the translations performed on f(x) = log(x) to graph g(x) = log(x – 7) – 7. Select all…

A:

Q: Consider the following graph of y = f(x): 20+ 0 -20 -404 -60€ I only Il only 6 Which of the…

A:

Q: Given the graph of y = f(x) below, answer the following. y -5 -4 -3 -2 4- 3 2 1. -2 -3- -4 -5 23…

A: A graph of the function fx is given. We have to find a solution for fx≥0.

Q: Find the vector parametrization r(t) of the line L that passes through the points (4, 1, 2) and (9,…

A: The line L passes through points 4,1,2 and 9,3,7

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A:

Q: Differentiate the following function. Do not simplify f(x)= √sin (cosx)

A: fx=sin2cosx

Q: Question 9 Identify where the mathematical mistake was made when rewriting the expression. 4 (1)…

A: Let P=logax4y5z2

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

A:

Q: The population of a city is modeled by the equation P(t) = 479,442e0.1t where t is measured in…

A: The population of a city is modeled  by the equation  P( t ) = 479442e0.1t Where t is measured in…

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

A:

Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

Q: Use the half-angle formulas to find the exact value of the trigonometric function. Simplify your…

A:

Q: Find all the first and second order partial derivatives of f(x, y) = 6 sin(2x + y) — 2 cos(x − y).…

A:

Q: Suppose a company has fixed costs of $400 and variable costs per unit of x + 1350 dollars, where x…

A: Suppose a company has fixed costs of $400 and variable cost per unit of  1516x+1350 dollars, where x…

Q: 2.5 2x dx 9-x²-8x

A: since you have posted multiple question i can do first question as per our company guidelines,…

Q: d. f(x)= sinsin (2x) coscos (x)

A: To differentiate the following function. fx=sinsin2xcoscosx

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

A:

Q: Find the value of k such that the limit exists x² kx + 4 lim x-1 - x - 1 The k value is The limit is…

A: We have  function (x2-kx+4)/(x-1) We have to find value of k for limit existence when x tends to 1…

Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

A:

Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

A:

Q: Use the chain rule to find dz dt || dz dt z = sin(x) cos(y), x = √t₁ y || LO 5 + |

A:

Q: Kelly and Stuart bought potato chips for a party at the same store. Kelly spent $14.15 for 3 large…

A:

Q: 2x cos(x²) esin(x2-

A:

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We have to find the minimum cost and additional cost or saving.

Q: State the order of the given ordinary differential equation. (1-x)y" - 7xy' + 4y = cos x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: - Consider the surface F(x, y, z) = x626 + sin(y³z6) — 10 = 0. Find the following partial…

A:

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

A:

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: The region bounded by f(x) = -3x² + 18x + 81, x = ( volume of the solid of revolution. Find the…

A:

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

A:

Q: Given the set of parametric equations of a curve C defined by [0,5). x = ln(cost), y = sint, te 1.…

A:

Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

A:

Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

A:

Q: Find the angle between the vectors (3, 1, 1) and (2, 0, 1). Use a calculator if necessary. (Round…

A: We know that the angle between two vector formula cos(theta)=(u.v)/(|u|•|v|)

Q: Find the arc length of the curve x = 5 cos(5t), y = 5 sin(5t) with 0 ≤ t ≤ π.

A:

Q: Find all values of m so that the function y = emx is a solution of the given differential equation.…

A:

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: The radian measure of the acute angle is 0 =

A:

Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A:

Q: 2. Locate all local extrema and saddle point(s) of f(x, y) = xe cosy for (x, y) = (-T, T) x (-π, π).

A:

Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: Find ve, where ||v|| = 11, e is a unit vector, and the angle between e and vis (Use symbolic…

A: v=11 ,e is unit vector and angle between e and v is 2π3

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

A:

Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…