#10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find (param.equ) the normal live at (1,1,1)

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: A direction field for the differential equation y' x cos Ty is shown. (a) Sketch the graphs of the…

A: All the answers are in the explanation part.Explanation: To sketch the graphs of solutions that…

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

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: 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: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 10. The derivative of y=3excosx  y′=3ex(cosx−sinx) Correct option : C  ) 3ex(cosx - sinx)…

Q: (8 points) Suppose the terrain of a hillside is represented as the graph z = f(x). Suppose f(a) = c…

A: I have given detailed solution below thanksExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Problem 2. Let f R2 R be (a) (b) f(x,y) = (xe)10 Determine the second-order Taylor formula for f…

A: Answer is given below :-Explanation:

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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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: Use the Product Rule to find f'(1) given that f(x)=xe.

A: f(x)=x3exf′(x)=ddx(x3ex)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Write the corresponding rectangular equation for the curve represented by the parametric equation…

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Q: | x- and y-intercepts Z #9 Find f (x,y,z) if f(x,y,z)= 32²x² - 13y²+212 Pzy +XZ хуг у de ху

A: fzy​=(x2+y2)22y​−y2x​Explanation:Hope it helps youplease ask if you gets any doubt please give your…

Q: Problem 1. Prove Theorem 6.14 which is given below. Theorem (Second Derivative Test). Suppose that ƒ…

A: Theorem (Second Derivative Test). Suppose that f:R→R is C3 in a neighborhood of a critical point…

Q: The Taylor series for f(x) = e* centered at x = Find the first few coefficients. -2 is Σ Cn (x+2)".…

A: Given that the function is               We need to find the Taylor's series expansion at x =-2.

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: Determine the Cartesian equation of the plane that has a normal vector (-3, -7, 8) and passes…

A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

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: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

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

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Q: πT 0 3 2 4 tan(x) sec(x) * dx_ ´

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Q: Evaluate the integral using su

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Q: help

A: The average value of the function f(x) over the given interval is 3.Explanation:

Q: The accompanying figure shows the dimensions of a light bulb at 10 equally spaced points. 1.60 3.20…

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Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and   fx​≡fx​(g(t),h(t))

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: Use the table of values of f(0) = cos (40) 0 to estimate lim f(x), if it exists. 0-0 0 -0.1 -0.01…

A: From the definition of limit, limit does not exist when the left hand limit and right hand limit is…

Q: Help this question

A: The correct unit vector pointing uphill as steeply as possible is approximately (−0.9798,−0.1952),…

Q: Use the Chain Rule to find the indicated partial derivatives. дл მs дл z = x² + x²y, x = s + 2t-u, y…

A: To express    dz/ds  , dz/dt and dz/du using the chain rule without substituting x and y: Apply the…

Q: how did we find 100/3

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Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: Hello, I am in the middle of an exercise and I am getting tripped up on solving this integral. Could…

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Q: In this problem, p is in dollars and x is the number of units. If the supply function for a…

A: 996Explanation:Detailed explanation:

Q: Use the Chain Rule to find dz/dt. dz dt z = x² + y² + xy, x = sint, y = 9et ×

A: Closed form:dtdz​=sin(2t)+162e2t+et(sint+cost)Without…

Q: Use the graph to evaluate the limit. lim f(x) 0+x -B 6 30 2 R X +30 G OA. -3 OB. 3 ○ C. 0 OD. The…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) 1-8 Inx;…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

Q: Determine the solution to the following system: 3x+20y 8z 15 - 20x+15y-7z = 28 6x+5y4z = 7

A: The solutions are,x=1,y=1,z=1 Explanation:Step 1: Step 2: Step 3: Step 4:

Q: please solve this

A: Ans :  Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: A company uses the model R(x) = 35x^2 - 5/3x^3, 0<=x<=10   to relate its revenue, R, in…

A: Therefore, the point of diminishing returns for this model is at 7 million dollars.Explanation:To…

Q: x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square…

A: (a)A=x2+x2000​(b)10 meters(c)At the point x=10 , "A" is locally minimum.Explanation:Step 1:Step 2:…

Q: Deriving Snell's Law from an Optimization Problem Refraction is a physical phenomenon that happens…

A: Please find the below attached solution as per the suggested steps.Explanation:

Q: Determine the point of intersection between the following pair of lines (0, 1,3) + s(5,-1,2), SER…

A: The intersection point is (−5,2,1).Explanation:Steps and explanations are as follows:In case of any…

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

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: Consider the function f(x) = x² + 2x - 8. (a) Find and simplify: f(z)-(1) 귿-1 (b) Now determine the…

A: C=1/7Explanation:

Q: A curve is specified as y = 4x √ x² +6 x-axis between x = 1 and x = The region of the xy-plane…

A: Answer: 2.24Explanation: