Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

Q: Approximate 1714 using the Linear Approximation L(x) of f(x) = x 1/4 at a = 16. (Use symbolic…

A: The given function The linear approaximation at

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

A:

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: Let S be the paraboloid y = x^2 + z^2. Find a parametric representation for S and its tangent plane…

A: The objective of this question is to find a parametric representation for the given paraboloid S and…

Q: Σ COS n=1 пп 2

A: Given that the series is

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: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

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Q: Find the volume of the following solids.   The base of a solid is the region between the curve y…

A: The objective of this question is to find the volume of the given solids. The base of the solid is…

Q: × Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: ⟨−22​​,22​​⟩ 42​ Explanation:Given the function,f(x,y)=xy2​,(2,4) Let us solve for the gradient of…

Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

A: The given sphere is, , we have to find the radius and center of the sphere.Standard form of a sphere…

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

A: 2x2​+3x−3ln(x)​+328ln(x−3)​Explanation:

Q: Let g(x,y)=sin(8x+6y). a) Evaluate correctly g(1,−2). Answer: g(1,−2)=________ b) What is the…

A:

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

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Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

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Q: Use a sketch to find the exact value of the following expression. tan cos 16 20 Which of the…

A: Answer Option D is correct sketch. tan(arccos2016​)=43​Explanation:For any query with the solution,…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Therefore, the required answers are a) 117.694561 degreesTo get this in radians, multiply it by…

Q: If x3+y=7, find the value of d²y dx2 at the point (-1,2). d2y The value of at the point (-1,2) is…

A: Given:To find:The value of  at p[oint (-1, 2)

Q: 7) The region bounded by y= √x, y= 2, x=0 is revolved about the y-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A:

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 0=34°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: Answer is given below :-Explanation:

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: The point (1,1,1) is connected to the origin by a curve, C, formed by the union of two lines: the…

A: The objective of the question is to find the parametric representation of the second part of the…

Q: Find the following derivatives by using the product rule and/or the chain rule: (You can use the…

A: As per the Bartleby answering guidelines, answering only first question as the other questions are…

Q: Suppose the following is a sample of the day-by-day change, rounded to the nearest 100 points, in…

A: The objective of the question is to calculate the mean and median of the given sample of changes in…

Q: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: Problem #3: Consider the following function. f(x, y) = 2x3+24xy-12y2 (a) Find the critical points of…

A: Refer explanationExplanation:

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)

A:

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

A:

Q: Determine the intervals where the graph of the given function is concave up and concave down.…

A: To determine the intervals where the graph of the given function is concave upand concave down.

Q: The vectors (2,10, 4) and (1, 3, x) are orthogonal if and only if x= -8. Ignore "Give your reasons"…

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Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A:

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

A:

Q: Consider the graph of H(t) = k(1 - 6t) where k is a positive constant. (a) Find the coordinates of…

A: (a). Horizontal intercept : (61​,0)  (b). Vertical intercept : (0,k)   Explanation:

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: lim Vn!

A: Substituting stirlings approximation into the expression:limn→∞​nnn!​​=limn→∞​nn2πn​(en​​)n​…

Q: The equation of the plane that passes through the point A(1, 0, 2) and perpendicular to the vector…

A:

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: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

A: The given total inventory cost function

Q: Differentiate the following function. f(x)=-6-3x+3e* f'(x) = ☐

A:

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: 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 P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (d) Find the vector equation…

A: The objective of the question is to find the vector equation of a line that passes through a given…

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² -…

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Q: Find X1 and X2- -2 - 4 X1 -2 3 x2 H + 19 -9 3 17 X1 X₂ = 38

A: