Consider the function f(x) = xe 2, 0≤x≤ 2. This function has an absolute minimum value equal to: which is attained at 0 and an absolute maximum value equal to: which is attained at x =

Q: If 3x2 + yx = 9, what is -? dx dx dx = = = 11 -6x-y² 2.xy -6x+y² 2x -6x-y2 2x² 6x-y2 2y 59

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Q: (2). z=x² + y,k=-4,-1,0,1,4.

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Q: S sec² (7t) tan² (7t) √1 – tan² (7t) dt

A: Given integral:- ∫sec27ttan27t1-tan27tdt

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Q: .) Find the volume of the solid whose base is the region bounded between the curve y=secx and the…

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Q: Compute the product. This exercise should be done using technology. (If an answer is undefined,…

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Q: A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal…

A: Solution: Let the side of the square = x Given : Length of cardboard = 12 inches Breadth of…

Q: A certain magical substance that is used to make solid magical spheres costs $600 per cubic foot.…

A: As we know that Area of sphere( A ) = 4πr2Volume of sphere( V ) = 43πr3

Q: lim 8118 3 3+2½X

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Q: (a) Use the definition given below with right endpoints to express the area under the curve y = x³…

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Q: 2) f(0) = f(2)=0 f'(x)>0 on (-∞,1) ƒ'(1) = 0 f'(x) <0 on (1,0) ƒ"(x) <0 on (-∞,∞)

A: f(0) =f(2)=0 f'(x)&gt;0 on(- infinty,1) f'(1)=0 f'(x)&lt;0 on (1 , infinty) f"(x)&lt;0 on(-infinty…

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: If position is given by p(t) = -1² + 5t, what is the velocity v(t) at t=2? ov(2) = 2 ov(2) = -1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the given differential equation. ex² dy=x√/9-ydx Choose the correct answer below. =9-²+C 4 ○…

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: the instruction says you should use miscellaneous substitution! please edit the answer

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis y 6…

A: see below the answer and calculation

Q: 10. Find the indefinite integral J dx (3+5)2 dx

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Q: The volume V of the right circular cylinder of height 9 m and radius r m shown in the figure is V =…

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Q: QUESTION 1 If f(x) = 3x +51, - 1<x< II, Then the sum of the Fourier coefficients ao + b₁ + b₂ + b3…

A: A detailed solution is given below.

Q: Evaluate the integral by interpreting it in terms of areas. 6² ( 1² x - 2) αx -X dx

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Q: Find the rectangular points.  (3,-120°)

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Q: Find the mass of the rectangular prism 0<x<1, 0<y<4, 0<z<2, with density function ρ(x,y,z) = x

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Q: Problem 3 d²y(t) — 4 dy(t) + 4y(t) = 2 × e²t dt² With initial conditions y(1) = 3, dy (1) dt = 1

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Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the given differential equation. 7ydx − 7xdy + xdx = 5dx

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Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: Approximate the sum of the series correct to four decimal places. -0.2212 n=1 (-1)" 4"n!

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Q: Given that the acceleration vector is a(t) = (−1 cos (−1t))î + (−1 sin (−1t))ĵ + (−5t)k, the initial…

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Q: Solve the given differential equation. 7ydx - 7xdy+x+dx=3dx The solution is 0. (Type an equation.)

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Q: Average Life Span One reason for the increase in human life span over the years has been the…

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

Q: Consider the graph of Ax + By = C where A, B, and C are positive constants and A B. If the value of…

A: Solution: Given data, Ax + By = C where A, B, C are positive constants Ax+ By = C → (i)   X-…

Q: - Evaluate the triple integral JJJ, 2x de. where W is the solid in the first octant bounded by the…

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Q: How many inflection points does  Which points are inflection points? (List the labels of the points…

A: To find inflection points of the given graph

Q: No written by hand solution

A: Consider the following equations. a1x+b1y+c1=0a2x+b2y+c2=0 The system has unique solution if…

Q: Can i still answer this without using the l'hospital rule? If yes, can you show me the alternative…

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Q: 11. Find the maximum and minimum values of the function f(x, y) = 3x + y - 4 on the curve ² + 2y² =…

A: To find the maximum and minimum values of the function. fx, y=3x+y-4 on the curve x2+2y2=38.

Q: Evaluate the Integral SSS (1/(x2+y2)1/2) dydxdz The s' are the integration symbol cannot fit…

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Q: Show that the following vector fields F are conservatives and find ALL f such that F = Vf. (a) (b)…

A: As per guidelines, we can solve only first question if multiple questions are posted, please repost…

Q: If f(x) = ax³ + bx² + cx+d, where a, b, c, and d are constants, find f"(x). 6ax+ 2b 6x + 2 a+b+c+d…

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Q: What region R in the xy-plane maximizes the value of R (16-3x² - 2y²) dA? R is the set of points…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the parabola of the form y = ax² + b which best fits the points (-1,0), (2, 2), (4,4) by…

A: Given sum is S=(a+b)2+(4a+b-2)2+(16a+b-4)2

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Please see the below picture for detailed solution.

Q: Consider the four graphs shown below. For each graph, select Yes if satisfies the following…

A: To determine the graph which satisfies the following conditions. (i) f'x&lt;0 when -2&lt;x&lt;5 (ii)…

Q: Determine whether the series is convergent or divergent. n = 1 5 n² + n³

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Q: Find the equation of the curve for the given slope and point through which it passes. Use a graphing…

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Q: Evaluate SSSW f(x,y,z) dV for the function f and region W specified: f(x,y,z)=24(x+y) W:…

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Q: The position function of a particle is given by r(t)=At what time is the speed minimum?

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Q: pls answer this 100% perfectly thankss   Differentiate the following function and factor fully.…

A: Given: g(x) = 2x-142-3x4 To find: Differentiation of g(x)   Rules of differentiation  1) ddxfg…