Solve the system of equations 2x4y+ z = 6 -x+y-z=-2 x - 2y = 2 by converting to a matrix equation and using the inverse of the coefficient matrix.

Q: tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

A: f(x) is a descrete functionWe have to find f(x) is continuous and differentiable at x= 0 or not

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: Note: According to Bartleby guidelines we can solve only one question.  If you want more questions…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: Problem #4: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is 12 6 H = 6 12 (a)…

A: Please refer below page.If you have any question please feel free to ask.Explanation:

Q: 27 sin(t) cos(t) = −12 cos(t) t =

A:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Please find the attached file for details....Thank you....Explanation:

Q: Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 4).…

A: Answer is given below:  Explanation:Question 1:Answer:   Now 50 %D -S&gt; Univen It) - 24+ 21 , 1 -…

Q: Find the volume of revolution by rotating the region bounded by y=4^x, y=0,x=0,x=2 about the line…

A: Region is bounded by y=4x,y=0,x=0,x=2Rotating the region about y=−1Using the washer method

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS. THIS IS TRUE OR FALSE

A: 11. TRUE 12. TRUEExplanation:Approach to solving the question: Detailed explanation:

Q: Find the point P on the graph of the function y The x coordinate of P is: Submit answer √ closest to…

A:

Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The objective of this question is to find a parametric representation for the given paraboloid S and…

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

A:

Q: Hello  I got this answer, but part of the explanation was cut of.  could you help with the missing…

A: Certainly, I can help you with the missing parts of the explanation, and explain how z = u and x = u…

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

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

Q: Please don't provide handwritten solution ....

A: The objective of this question is to calculate the work required to pump all the liquid out of a…

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer:  gu​(0,0)=17gv​(0,0)=8Explanation:Step 1:

Q: C(q)=560+ 15g, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars…

A:

Q: Solve and include restrictions for: e^(2x-3) = 2^(3-2x) (An explanation to this problem would also…

A: Answer is given below :-Explanation:

Q: To complete the process legible

A: The value of N is approximately 1.0895Explanation:Step 1:

Q: X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute…

A: ∇f(a)=[−29−3​] The Directional derivative of f at a in the direction of v [5​29​5​−6​​] C=43…

Q: ​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)? (B) Find…

A: The required answers are A) 925.409507 dollars per year.B) 935 dollars per year.Explanation:Step 1:…

Q: Find dy/dx and dx/dy from 6x2-x³y²+4x=0

A:

Q: Use a sketch to find the exact value of the following expression. cos sin 7 25 Which of the…

A: The triangle given in (C) is used to find the value of cos(sin−1257​). The value is…

Q: Use a sketch to find the exact value of the following expression. tan cos 10 26 Which of the…

A: Answer:Option C. The correct triangle to find the value of the expression is Option C. Here's…

Q: What is the rate of depreciation​ (in dollars per​ year) after 5 ​years?

A: The formula defines the salvage value, S(t), of the limousine after t years. In this case, S(t) =…

Q: (a) Find the length of the curve y = x4 - 16 + 1 1 ≤ x ≤2 2x2

A: Since you have asked multiple question as per our policy, we will solve the first question for you.…

Q: help

A: (A) 21​ln(2) Or  ln(2​) (B) 0.347Explanation:Step 1:  Step 2: Using graphing calculator

Q: Determine a value for k such that the two planes are coincident. -3y+z=-27 -x- 3x+k²y+kz = k* a. k=3…

A: Final answers: (1)   d (2)  cExplanation:###(1)For two planes to be coincident, their normal vectors…

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: Evaluate the integral L 4 diverges. 2 3x ln x dx or state that the integral

A:

Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by  R =…

A: A production level of 35 thousand units will maximize revenue.Explanation:To find the production…

Q: Find the derivative of the function. x+2x-2 y= 2 x-2x+2

A: y=x2+2x−2x2−2x+2y′=ddx(x2+2x−2x2−2x+2)Using the quotient…

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

A:

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed

A: So the required answer is t=25.60 [rounded to the nearest hundredth]Explanation:Given that…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

A:

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: The objective of the question is to find the dimensions of a sphere and a cube that will minimize…

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y=x²+5x,…

A:

Q: Find the first partial derivatives of the function. მu მr = მ მყ u = ln(x + 5y + 6:) მ:

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Calculus I May I please have the solution for the following questions? Sketch an accurate graph…

A: Please refer below to get your solutions.Explanation:Sol -&gt; a) Sol -&gt; b) Sol -&gt; c) Sol…

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash  drive is given by…

A:

Q: Problem #3: Consider the following function. f(x, y) = 2x3+24xy-12y2 (a) Find the critical points of…

A: Refer explanationExplanation:

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(f) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: Find the first partial derivatives of the function 5x f(x, y) = (x + y)²° 1. fx(x, y) = 2. fy(x, y)…

A: 1.fx​(x,y)=(x+y)35y−5x​ 2.fy​(x,y)=(x+y)3−10x​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: 2. Graphing Calculator allowed: A particle moves along a straight line. For 0 ≤ t≤ 5, the velocity…

A: The answer is given as follows:(a): ∣v(t)∣=∣−2+(t2+3t)56​−t3∣=2 solve t from this equation.(b):…