Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: a & C

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Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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

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Q: cos( + B) = O V2(cosB + V3sinB) V3(cosB - V2sinB) O V2(cosB - V3sinB)

A: Value of Cos(π/3 + B) will be

Q: 10. lim Ve+ 2-2

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Q: Use the indicated substitution to evaluate the integral. 2x cos(x) dx , u = x' sin (x²) + C 2 sin (x...

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Q: 3 tan x cos x cot x = _______

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), 9(r) 0 Determine the...

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Q: 1 d.r r/1+x°

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Q: Español Translate each graph as specified below. (a) The graph of y =x is shown. Translate it to get...

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Q: 2. 3. yo. %3D CX %3D

A: Let's find. 

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

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Q: Consider Line 2, which has the equation: y = 9 Give the equation of the line parallel to Line 2 whic...

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: 7. SV103% dx

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Q: Apple iCloud Yahoo Bing Google Home Wikipedia Facebook The Weather Channel Yelp TripAdvisor https://...

A: Given query is to find the value of the integral.

Q: Given the function f"(x) = (x – 4)²(x + 7)³ (x + 3), what conclusion can be drawn directly from the ...

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Q: Odr + (2r +1- Or) d0 = 0

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Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: 19x? 8x - Evaluate : lim 4x2 + 18

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: Simplify the following expression using trigonometric identities. Your final answer must be a single...

A: Given query is to find simplified term for the expression.

Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: 3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four ter...

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: Consider you are given the following 10 decimals: .3 .75 .8 .650 .15 .2 .35 .45 .400 .350 Use each d...

A: This question is based on hit and trial.

Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.

Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...

Q: 3. Evaluate: -x²+2x dx (Hint: let t = (x – 1)²)

A: We know, ∫0∞e-x2dx=π2. ∫2e-x2πdx=erf(x) erf(1)= 0.84(approx)

Q: Here is a graph of the function f. Español Use the graph to find the following. If there is more tha...

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: Enclosing the Largest Area grazing land along the straight portion of a river and then subdivide it ...

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 40 xp. x² - 25...

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e -x2 - 5y2 - 722 where T is measur...

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Q: A yam is put into a hot oven, maintained at a constant temperature of 200'C. At time t = 30 minutes,...

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Q: A microwave transmitter emits electromag- netic waves of a single wavelength. The maxi- mum electric...

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Q: Given: sing e is a third quadrant angle, and tand -ả, dis a second-quadrant angle; find tan(+b) -1/3...

A: Trigonometry

Q: The integral represents the volume of a solid. Describe the solid. sin(x) dx O The integral describe...

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Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

A: Since we are given with multiple number of questions and our guideline is solve the first question o...

Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First we draw a graph then find volume.  Interesting point are 0 and 1 then using limit 0 to 1 .