Solve the following system of equations using any appropriate method of your choosing: • x-y+z=8 x+2y-8z=-7 6x-y-9z 23 If the system is independent, state the solution as an ordered triple. • If the system is dependent, state the solution as an ordered triple with x and y expressed in terms of the parameter z. • If the system is inconsistent, state that the system has no solution.

Q: 1. Find the domain and range of f(x, y) = ln(x² − y). -

A: To find the domain of range of the following function.

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: Consider the function graphed below. 7+ 6 5 4 3 AN -6-5-4-3-2-1 2 1 2 3 4 5 Determine the following…

A: 1.)a.) Amplitude: 3b.) Period: 5c.) Equation of Midline: y = 3 2.)A = 5D = 0B = π/7s =…

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A: The area of a circle is increasing at a constant rate of 88 square meters per second.dAdt=88 square…

Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

A: Please refer below for answersExplanation:To find how fast the height (h) of the pile is increasing…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³ +…

A: Answers :: Part -> (A)S′(t)=0.15t2+1.6t+3 Part -> (B)S(6)=66.6S′(6)=18Explanation:Sol)

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: Solution is given below and please check calculation.  if you have any doubts please ask me. Thank…

Q: Question 4 Let 4x²+20x24 x²-4 f(x) = Ax- x-1 B 1 x<-2 ' -2≤ x ≤1 x1 Find A and B, if any, such that…

A:

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: Determine the value of k for which f'(3)-2, if f(x) = x+*. x-1

A: Given a function,f(x)=x+kx−1To find : the value of k for which f′(3)=2.Using the quotient…

Q: a) The function and its derivative always have the same domains. (b) To find the derivative of h(x)…

A:

Q: Consider limx-6 f(x), where f(x) = 6x-4. Find a maximum value of 8 such that f(x) 321 <0.004 if…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Angle that vector a = (12,-3,4) makes with the y-axis is  arccos(13−3​)Explanation: For any query…

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

A:

Q: Below is the entire graph of function f. Graph f, the inverse of f.

A:

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = and the…

A: To find the volume of the solid generated by revolving the region bounded by the parabola  and the…

Q: Problem #2: Given f(x,y) x784xy2, which of the following vectors points in the direction of steepest…

A:

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: n-1 1 series an = 256 4 Find the sum S5 of the first 5 terms of the geometric # a1 (1 - p) = n Use…

A: To find the sum  of the first five terms of the following geometric series.

Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: Consider the following. SSTE z dv, where E is enclosed by the paraboloid z = x² + y² and the plane z…

A:

Q: The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the…

A: The required volume is:V=0.05 cm3Explanation:The given expression for the volume is: V=∫0R​v(2πr) dr…

Q: 9. Find the volume of the solid of revolution obtained by rotating the region in the xy-plane…

A:

Q: If H (x) = x² (2x-41)

A: H(x)=x2(2x−11−4x)

Q: If z = 3x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz.…

A: ### Summary:- The actual change in z  as (x, y) changes from (1, 3) to (1.05, 3.1) is 0.9175.- The…

Q: 6. Consider the curve y = 4x². Determine the equation of the line(s) (in standard form), such that…

A: We need to find an equation of a tangent line that passes through the point given.

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: Let f (x) = X 5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 9 if x = 2 if x = -5 (a) Classify all the…

A: The function is given by:

Q: Determine the angle that vector a = (12,-3, 4) makes with the y-axis.

A: The angle between the vector a=(12,−3,4) and the y-axis is approximately 103.34…

Q: 10. Write the integral needed to find the volume of the solid formed when the graph of the region…

A: Question No. (10): To write the integral needed to find volume of the solid formed when the graph of…

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: c. 7.389056 In(t − 2) > e² 2. Provide a graphical (one combined) solution for the system of linear…

A: The final answer, represented graphically, is the shaded region that satisfies all four inequalities…

Q: Sketch the region enclosed by the given curves and find its area. y = cos x, y = 1-cos x on 0 ≤ X ≤…

A: Answer: Area= 23​+π/3​ ≈4.5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: Answer AOption A , t2​, t4​, t5​, t7​, t8​Answer Blimt→t6​​N(t)=7N(t6​)=7Answer CThe Limit does not…

Q: Find the orthogonal trajectories of the family of curves y6  =  k x6

A:

Q: e problem below. In (10x4) 4x y' = y(1) = 0 arithmic functions in parentheses.

A: To solve the following initial value problem.

Q: 8. Given y = log1/2x: a) Solve for the x-intercepts. b) Explain why the solution to log 1/24 must be…

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Q: a. Using the Law of Sines, determine the value of m/C. You should notice that there are actually two…

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Q: A retailer anticipates selling 5,200 units of its product at a uniform rate over the next year. Each…

A: We need to find a minimum inventory cost and number of units.

Q: The concentration of a drug in an organ t seconds after it has been administered is given by x(t) =…

A: The objective of the question is to understand the concentration of a drug in an organ at any given…

Q: In order to find the derivative of f(x) = -x³ we use the power rule, which states that the…

A: The given function is

Q: Q1/Show that the differential equation by by y' = x²y x³ + y³ is homogeneous and find the particular…

A:

Q: y f 0 Find each of the following for the given function g. (If an answer does not exist, enter DNE.)…

A: g(x)=|f(x)|

Q: Find the partial derivatives of the function მა მო მო მs მო Ət w = 9r2 + 3s2 + 32 G

A: ∂r∂w​=9r2+3s2+3t2​9r​∂s∂w​=9r2+3s2+3t2​3s​∂t∂w​=9r2+3s2+3t2​3t​     Explanation:

Q: Does the series converge or diverge? What test do I use to see what value it converges to? What…

A: By the Integral Test, the series  ∑n=3∞​(n−2)23​1​ converges, and it converges to the value…

Q: Each week, you have a total of 80 hours to split between x hours of work and y hours of leisure. The…

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Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: A. C.B. D.C. -60D. C. Explanation:Approach to solving the question and detailed explanation: (A)…

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to ƒ…

A: • The Mean Values Theorem is satisfied. • The value of c guaranteed by the Mean Value Theorem on [1,…

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)