Use Linear Approximation to estimate Af = f (9.02) - f(9) for f(x) = x4. (Use decimal notation. Give your answer to two decimal places.) Af≈

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: A = 「 ; 8

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Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Find an equation of the ellipse with vertices (0, 3), (12, 3) and eccentricity e = Select one: a.…

A: Vertices:eccentricity, e=

Q: The function P(x)=-1.5+ 300-6000 gives the profit when units of a certain product are sold. Find a)…

A:

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: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: 3. Use implicit differentiation to find and (a) xy+yz = x2 (b) xyz = cos(x + y + z) (c) xy² 23 +…

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: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

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

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Suppose that the Quick-Fix Car Service franchise finds that the income generated by its stores can…

A: Therefore, the required answer is $2,802,379Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Answers : A. fx​=6cos(2x+y)+5sin(x−y)B. fy​=3cos(2x+y)−5sin(x−y)C. fxx​=−12sin(2x+y)+5cos(x−y)D.…

Q: If then 0 0 0 t:9- 0 0 0

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Q: lim 4zex²+y² (x,y,z)(2,4,5) 2x² +4y²+5z²

A:

Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

A:

Q: Is f(x)=2/x-7 one to one

A: The objective of this question is to determine whether the function f(x) = 2 / (x - 7) is…

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A: The objective of this question is to understand how to derive the scalar equation of a plane using…

Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by v =…

A:

Q: Find the derivative off with respect to x of f(x) = In x 10 The derivative of f with respect to x of…

A: The logarithmic formula: ln⁡xm=mln⁡x .The derivative of logarithmic function: ddxln⁡x=1x

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: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

A: Formulas are used for solving this problem:-

Q: ||| = 19:25 0% * · Natifa Hinds Today, 18:08 3. Tesla estimates that its profit expressed in…

A: Tesla's variable cost per car is $3210. Explanation:a. Tesla's Variable Cost per Car:Given that…

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: The velocity of water ft/s at the point of discharge is given by v = 14.640-√P, where P is the…

A: The velocity of water in​ ft/s at the point of discharge is given bywhere P is the pressure in…

Q: Use the arc length formula to find the length of the curve y=9-4x,-2 ≤ x ≤ 4. Check your answer by…

A:

Q: A curve has an equation  y=2x2+5x+c where c is a non-zero constant. Given that the roots differ by…

A: ANSWER: c = -11/8Explanation:To find the answer, first we must find the roots of the quadratic…

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A: Let the height of balloon is  m and x m be the horizontal distance The figure

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A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

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: Please don't provide handwritten solution ...

A: To determine where a function would be concave up or down, first identify the second derivative and…

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t)=23,806…

A: The estimated resale value  of a company car after  years is given by .We have to find the rate of…

Q: I need help with number 17.

A: If you're seeing the number 17 often, it might mean your guardians are trying to tell you something.…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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

A: Answer:  t≈54.93Explanation:Step 1:

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…

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A:

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: dy Find dx x=8e8 y = e 010

A:

Q: f'(x) = ƒ' (e³) = f(x) = (ln x)7

A: ∙  f′(x)=x7(lnx)6​∙  f′(e3)=e35103​Explanation:

Q: C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

A:

Q: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

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Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

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Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one:…

A:

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: