Estimate Ay using differentials. y = x 1/2e4x-1, a = 1, dx = 0.1 (Give your answer to four decimal places.) Ay≈

Q: https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following…

A: 1. The log of the ratio of solution ATo find the decay constant 'k': k = - (1/t) *…

Q: Find all solutions to the quation. sin 0 = 2 Write your answer in radians in rms of it, and use the…

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Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: Find the equation of the tangent plane to the surface x = 6x3 y3+7xy at the point (1,0, 6). z=…

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

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Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (c) Find the Cartesian…

A: The objective of the question is to find the Cartesian equation of the plane containing the points…

Q: +0+x (4) lim xx

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Q: Given the graph of f, find any values of x at which f' is not defined. 13 12- 12 OA. x=0 OB.…

A: The derivative of function f is undefined at when function discontinuous at when a vertical tangent…

Q: 3. (4.4.1 #15) Find the general solution. y" - 3y + 2y = e³ (1 + x)

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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: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

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: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

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: 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: 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: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

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Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: 3 2 2(x + y)³ -✓ = 15 X

A: 2(x+y)3−y2x=15ddx[2(x+y)3−y2x]=ddx(15)

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: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: If f(x) = 7 sin(2x) arcsin(x), find ƒ'(x).

A: f′(x)=14cos(2x)arcsin(x)+1−x2​7sin(2x)​Explanation:Given function is  f(x)=7sin(2x)arcsin(x) We need…

Q: A. Find the equations of the intersection line between the planes 3xyz2 and x-y+2z = 3

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Q: ​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)? (B) Find…

A: The required answers are A) 925.409507 dollars per year.B) 935 dollars per year.Explanation:Step 1:…

Q: Need help with 41.

A: n = 100Explanation:f(n)=4+(3000/(n+100))For the monthly sales obtained at the price of 19…

Q: In (x + √√x². Find the first partial derivatives of the function f(x, y) = ln(x+ 1. fx(-3,4)= 2. fx…

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Q: #5 Find parametric equations of the I love through points P(-2,4,-1) and Q (-3,-5,6)

A: The parametric equations of the line passing through points P(-2, 4, -1) and Q(-3, -5, 6) are:•x(t)…

Q: Match the graph of each function in A through D with the graph of its contour map in 1 through 4…

A: Close together contours indicate a steep slope, wall or cliff..

Q: Suppose that 174 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given that  ft of fencing are used to enclose a corral in the shape of rectangle with a semicircle.

Q: Find the exact value of each of the remaining trigonometric functions of 0. sin 0= 15 17 0 in…

A: Cosθ=−178​Tanθ=−815​Cscθ=1517​Secθ=−817​Cotθ=−158​Explanation:For any query with the solution,…

Q: Use undetermined coefficients to find the particular solution to y"-3y-10y=4e³t Yp(t) =

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Q: The value of a car, V = f(a), in thousands of dollars, is a function of the age of the car, a, in…

A: Detailed solution of the problem is attached below.Explanation: Detailed explanation:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

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

A: Please see the solutions.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Match the following log expressions to their correct evaluation. 1. 5 1+In(e²)-3log2(4) In(e³) 2. 4…

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Q: 10 m₁-m 2 = 5 m₁+ m2 1 Solve for m₁

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

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Q: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

Q: Plot the points from the table below on the polar grid that follows.

A: Plot the points from the table below on the polar grid that follows.Explanation:To plot a point in…

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: I do have the answer I just need the steps please

A: Answer in detailed belowm   In case of doubts please do ask in comments Explanation:Step 1:   Step…

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: 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: Housing Prices Going into the Real Estate Bubble The following table shows the average percentage…

A: The objective of the question is to identify the unique values of X, which represents the percentage…

Q: Next Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q2 + 3q- 44,…

A: Given:a profit function given by P(q)=−0.03q2 +6q−48 where q is the number of thousands of pairs of…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Given that when air expands adiabatically (without gaining or losing heat), its pressure P and…

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: Solve 8 sin ( X 4 for the four smallest positive solutions

A: