Calculus lll  May I please have the all properties of the dot product?  Thank you

Q: In x For the function f(x) = find f'(x). Then find f''(0) and f''(9). 11x'

A: Step 1: Step 2: Step 3: Step 4:

Q: Find all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of…

A: 4) To find all values of x where the tangent line to the functionf(x)=(x2−4)4is horizontal, follow…

Q: Use the information in the following table to find h' (a) at the given value for a. x|f(x) g(x)…

A: Step 1: Understanding the ProblemWe're given:A table of values for functions f(x), g(x), and their…

Q: On from the equation: 2 u = C₁ + C₂ Y + Czy + Cu y³ Find C₁, C₂, C3 and Cy Using these following…

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Q: 8:38 *** TEMU TEMU -3 -2 7 B 2 1 & 5G. 61% 1 2 -1 Based on the graph above, determine the amplitude,…

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Q: For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are…

A: Given system of two planes: Plane 1: −x+y+z=0 Plane 2: 3x+y+3z=0   Part (a): Checking if the Planes…

Q: Let f(x) = 9+ √√6x-8. a) Find f¹(x). Be sure to show all your steps, and write your work so it is…

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Q: can you solve this question and explain the steps used along the way

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Q: Find the tangential and normal components of the acceleration vector for the curve (t) = (2t,…

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Q: 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X,…

A: Step 1:Step 2: Step 3: Step 4:

Q: Calculus lll  May I please have the solution for the example? Thank you

A: Given Vector Field:F(x, y, z) = ⟨y² cos x, 2y sin x + e^(2z), 2y e^(2z)⟩We are to:Prove that the…

Q: Find the differential of the function f(x,y) = 3xe² at the point (3, 4) using Ax = 0.3 and Ay = −0.2…

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Q: Solve please

A: Here is the step-by-step explanation:Given:Temperature as a function of height:…

Q: 4.2 Product and Quotient Rules 1. Use the product and/or quotient rule to find the derivative of…

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Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

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Q: 2\int_{-3/2}^{3/2} \sqrt{4u^2+2} du

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Q: Determine whether the series is convergent or divergent. Justify your answer. If the series is…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) 5+ 4 -7 -6 -5 -4 -3…

A: The graph of the rational function is shown below.It is required to write an equation for the…

Q: Cable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft A 50° 20° B x C Identify the…

A: Step 1:  Step 2: Step 3: Step 4:

Q: charity savings Budget for May travel food Peter earned $700 during May. The graph shows how the…

A: To determine the fraction of money spent on clothes, let's analyze the given bar graph.The total…

Q: "I have written solutions in text form, but I need experts to rewrite them in handwriting from A to…

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Q: Please focus on ii.

A: Okay...Part (ii): Solve the Initial Value Problem (IVP)You're given:dx/dt = A * xWhere A =[ -5 1 ][…

Q: (10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) = (x, y,…

A: Let's solve the surface integral  ∫S​F⋅dS where: S  is the upper hemisphere of the unit sphere…

Q: 3.10 (A/B). A beam ABCDE is simply supported at A and D. It carries the following loading: a…

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Q: 3. True False. If false create functions that prove it is false. Note: f(x) = g(x). a) If_lim ƒ(x) =…

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Q: Please focus on ix.

A: Okayyyy Question: Which of the following matrices are in reduced row echelon form?We are given 4…

Q: Find Te²+ dydz 0 Write your answer in exact form.

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Q: correct answer A

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Q: ork 5: Solving Right Triangles ent! ** nswers to the nearest tenth. 3. 39 6 6. 0 45

A: Given Information:Right triangleHypotenuse = 45Opposite side = 39Adjacent side = ?Angle θ = ?Step 1:…

Q: 5:38 Video Message instructor Submit Question ||| D

A: We need to sketch the graph of, f(x)=−2cos(4πx​)+2 f(x)=−2cos(4π​(x−0))+2 Compare with cosine…

Q: Find the derivative of the following function. -8e5x y= 9x+2

A: To distinguish the specified function:…

Q: Math Test 3 3 x³+y³ = Ꭹ = 9 2 2 x²+y² = 5 x+y=?

A: We are given the equations: x3+y3=9       and x2+y2=5 We are required to find x + y. Step 1: Express…

Q: The graph of 2(x² + y²)² = 25 (x²-y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: We have given curve, 2(x2+y2)2=25(x2−y2) We need to find the equation of the tangent at point (3,1)…

Q: on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3…

A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…

Q: 2. Symmetry Evaluate the following integrals using symmetry argu- ments. Let R = {(x, y): -a ≤ x ≤…

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Q: An object of mass 4 kg is given an initial downward velocity of 60 m/sec and then allowed to fall…

A: Here is the step-by-step explanation: Step 1: Establishing the Differential Equation:​Newton's…

Q: Velocity of a Ball Thrown into the Air The position function of an object moving along a straight…

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Q: Solve please and thanks!

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Q: A campground owner has 500 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find and classify the critical points of z = (x² – 8x) (y² – 6y). Local maximums: Local minimums:…

A: STEP 1 ​​ STEP 2 ​​ STEP 3 ​​  STEP 4 ​​  STEP 5 ​​  Conclusion​​

Q: 17. Suppose we know that the graph below is the graph of a solution to dy/dt = f(t). (a) How much of…

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Q: Please refer below

A: We find a piecewise function based on the given graph as follows.  Step 1: Identify the segmentsFrom…

Q: 4 In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and evaluate…

A: Introduction: We are asked to find the value of the double integral ∫021​​dx∫x1−x​dy(x+yx−y​)2with…

Q: Let 4x³ +3y3+42³ + 2xyz – 125 = 0. მ: მ Use partial derivatives to calculate and at the point (2,…

A: Given equation:  4x3+3y3+4z3+2xyz−125=0 We want to find:  ∂x∂z​ and ∂y∂z​ at the point (2,−1,3)…

Q: Find the volume of the solid that lies under the paraboloid z = 81 - x² - y² and within the cylinder…

A: We want the volume of the solid lying under the paraboloid z=81−x2−y2and within the cylinder…

Q: Calculus lll  May I please have the solution for the following exercise? Thank you so much,

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Q: 19. If the method of undetermined coefficients is used, the form of a particular solution ofy^(4) −…

A: Step 1: Identify the Right-Hand Side ComponentsThe non-homogeneous terms are:e−t (exponential…

Q: can you solve this question and explain the steps used along the way

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Q: For the system consisting of the lines: and 71 = (-8,5,6) + t(4, −5,3) 72 = (0, −24,9) + u(−1, 6,…

A: Step 1: a) Parallel Check The direction vectors of the lines are:Line 1: d1​=(4,−5,3)Line 2:…

Q: calculate the maximum value of the directional derivative

A: Given the function F(X, Y, Z) = sqrt(x² + y² + z²), we can substitute the coordinates of point…