Approximate 1714 using the Linear Approximation L(x) of f(x) = x 1/4 at a = 16. (Use symbolic notation and fractions where needed.) approximation based on linearization:

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² -…

A: Therefore, the required answer is x=16−3​y2+89​y−1627​Explanation:Step 1: Step 2: Step 3: Step 4:

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: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Refer to explanationExplanation:To minimize the amount of material used for the cylindrical pop can,…

Q: 5. Find the indicated partial derivative(s). (a) f(x, y) = x4y² - x³y; faxx, fxyx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: solve using partial fraction decomposition

A: ​(x−3)(x−2)x​=x−33​+x−2−2​​Explanation:Step 1:​x2−5x+6x​Using factorization in…

Q: Determine S f'(x) g(x) f(x) g'(x) dx (g(x))²

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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:

Q: dy Write the function in the form y = f(u) and u= g(x). Then find as a function of x. dx 3 y= u =…

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Q: Sketch the curve represented by the parametric equations, and write the corresponding rectangular…

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Q: (3 points) By setting one variable constant, find a plane that intersects the graph of z=3y29x2 +5…

A: (a)z=3y2+5(b)z=−9x2+5(c)z=5Explanation:Given the equation,z=3y2−9x2+5 This surface is a hyperbolic…

Q: #14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration),…

A: a.)∫12​∫02π​​y2cos(x)dxdy=∫12​[y2sin(x)∣x=0x=2π​​]dy=∫12​[y2sin(2π​)−y2sin0)]dy=∫12​[y2⋅1−y2⋅0]dy=∫1…

Q: A = 「 ; 8

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Q: Evaluate the following surface integrals [ F. ds. (a) F(x, y, z) = (x, y, z) and S is the part of…

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

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: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

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Q: help

A: So, the consumer's surplus is $30.Explanation:To find the consumer's surplus, we first need to find…

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: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

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Q: lim 2xy +5yz + 3xz (x,y,z) (0,0,0) 4x2 + 25y²+9z²

A: To find:-

Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

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

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: 140 CHAPTER 3 Functions tab B 49. Let f(x) = (x - a)/(x + a). (a) Find f(a), f(2a), and f(3a). Is it…

A: f(a)=0f(2a)=1/3f(3a)=1/2Explanation:Hope it helps youplease ask if you gets any doubtplease give…

Q: rientation toward the origin. √s F. ds =

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Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4   Extrema of the function subject to constraint x2 + y2 = 1…

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: nd the maximum rate of change of f(s, t) = test at the point (0, -3).

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Q: Round to one decimal place as​ needed.

A: The objective of this question is to find out the time required for an investment to double if it 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: 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: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: Can you provide me with an example (with solutions and the process involved) of how to approximate a…

A: The objective of this question is to understand how to approximate a function using Taylor series…

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: Hello  I got this answer, but part of the explanation was cut of.  could you help with the missing…

A: Certainly, I can help you with the missing parts of the explanation, and explain how z = u and x = u…

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: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

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

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The detailed solution is provided below.Explanation:

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

A: Let x be the side length of base square Let z be the height of the boxThe figure of box

Q: Find the points on the surface 5x² + 1y²+4z² = 1 at which the tangent plane is parallel to the plane…

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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: Determine the + intervals on which the curve x = 612, y = 13-31 is concave downward or concave…

A: x=6t2 ,y= t3-3tWe have to find interval of to for concave downward and concave upward

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

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: lim 47x cos(x)-47sin(x) Find the limit 0+x x sin²(x) lim x-0 47x cos(x)-47sin(x) x sin²(x)

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Q: help with question.

A: The total profit for the second 6-month period is $18660.Explanation:We find the total profit for…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Hence the magnitude of the torque is 21.395385NmExplanation:Step 1:ForceF is [60,15,105]NForceF is…

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

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Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

Q: (a) Evaluate the surface integral ff z² dS, where S is the upper half of the sphere x² + y² + z² =…

A: For part (a), the surface integral evaluates to(−332π​). For part (b), the surface integral…