Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

Q: Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a…

A:

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: Find SS 2 2 dA over the region R = √(x0) /^< x < 4, 0 <y ≤5 } by identifying it as the volume of the…

A: The volume of the solid over the Region R with a constant height of 2 is 40 cubic…

Q: Find the Jacobian of the transformation. x = 5pe⁹, y = 6qeP

A:

Q: Can you do Number 6 using the Trapezoid Rule and Number 9 using the Simpson's Rule

A: .

Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Consider the function f(x, y) = x²y + y3³ - 48y. f has a maximum f has a minimum く at (-4√3,0). at…

A:

Q: etch the region enclosed by the given curves. y=16-x², y=x²-2 CHOICE A -6 CHOICE D -6 -2 y -10- 15…

A: First we find the point of intersection of the given curves.Then draw the graphs of the curves and…

Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

A:

Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

Q: Evaluate the following double integral: x2 SL √x² + ydzdy. 0

A:

Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

A:

Q: ☐ 1. Find the volume of the solid formed by revolving the region bounded by the graphs = x² about…

A: V=5162π​Explanation:Step 1:

Q: Snacks Movies 10% 18% Video Games Candles 36% Manga 20% 3 Mia received $150 for her birthday. How…

A:

Q: Σ COS n=1 пп 2

A: Given that the series is

Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

Q: base of a solid is bound by y=9x, y=36 and x=0 find the volume of the cross-section rectangle…

A: V=4032 cu. unitsExplanation:Given the equation of the base,y=9xy=36x=0  Solving for the volume of…

Q: 3. Let f(x) = (x)* where a is any number where a > 0. a. Use Logarithmic Differentiation to find the…

A:

Q: Consider the ellipsoid x² + 3y²+2z² = 31.

A: The given ellipsoid equation is

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: The temperature of a metal plate at the point is given in the following table below, where T(x, y)…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of…

A: Newton's Law of Gravitation can be used to show that if an object weight w pounds on the surface of…

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: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

A:

Q: 2x+2x+3 Consider the function (a) To use a limit and find its horizontal asymptote what must be done…

A:

Q: Find the slope of the tangent line to the curve below at the point (7,7 4x+3y+ √3xy =…

A:

Q: solve and include ristrictions for: In (In e (ext)) = 4 and 1 e X = 2

A:

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: Consider Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. Solve…

A: answer is  -0.000155Explanation is given below.Explanation:

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)

Q: Sketch the solution

A:

Q: The length {, width w, and height h of a box change with time. At a certain instant the dimensions…

A: Detailed solution of the problem is attached below,Feel free to comment below if you want any…

Q: Write the equation in spherical coordinates. (a) 5226x2 + 6y2 (b) x² + 5z² = 2 × ×

A: The given equations

Q: A = 「 ; 8

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

A:

Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

A:

Q: No hand written responses.

A: the concepts covered in the economics word problem and Python code:Demand Curve in economics shows…

Q: - The Parametric equation of the line that passes through the point A(1, 1, 1) and parallel to the…

A:

Q: what's the final answer to a and b?

A: The objective of the question is to find the moment of time t0 and the point P0 on the curve r(t)…

Q: classify the following sequences as geometric or arithmetic and find the general expression for the…

A: The objective of this question is to classify the given sequences as either arithmetic or geometric…

Q: 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(Ā-C). U C B

A:

Q: please answer the following for me

A: The objective of the question is to find the first five terms of the sequence defined by aₙ =…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The work done is 13714J.Explanation:Given:Force vector = [10, 15, 67] Ndistance d = [140, 75, 167] m…

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 32+ y² = 5. maximum value =…

A:

Q: 4 3 2 -5-4-3-2-1 1 2 3 4 5 3 The function graphed above is: Increasing on the interval(s) Decreasing…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: (a) The vector equation of the plane is r.(−9,15,10)=−23. (b) The…

Q: Use the equation OF 히 dy дх dx OF ду dy to find dx dy dx ။ F 5e sin(x) = x + xy 5e cos(x)-1-y…

A: dxdy​=5eysin(x)−x1+y−5eycos(x)​           ORdxdy​=x−5eysin(x)5eycos(x)−1−y​Explanation: