ind the local extrema of the function f(x,y)=e* (x² – 2y²) x-y

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 @ sin(3e*) - sin(11e*) + C A 22 O cos(ae) - cos(1le") +c 22 1…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 1, (1, 4) Vf(1, 4) =…

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Q: Find a power series for f(x) = ln(1+x^4)

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Q: Convert the point (3,3 7) from polar coordinates to Cartesian coordinates. Give exact values. y =…

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Q: Which of the following is one of the correct/convenient steps to evaluate -4dx which will yield the…

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Q: After evaluation, if J tan *3rdr=-tan'3r - ( ? ) tan3r +r + C, then find the missing (?) term. ® --…

A: I have appended the formula used in the solution part.

Q: Question 17 sech (Insinx) cotxdx ==2tan-' (sinx) + C A) True B) False

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Q: 7 Given tan A = on and that angle A is (120 in Quadrant I, find the exact value of sin A in simplest…

A: Follow the procedure given below.

Q: drug accumulátión in the Lexapro is an antidepressant that affects the levels of certain chemicals…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A sin(3e*) - sin(11e*) + C A 22 1 ⑥ 금sin(3e")+ Sin(11e") +C B 22…

A: We have to evaluate the above integral.

Q: Which of the following is equal to sec 2x tan³x dx to obtain the correct indefinite integral? A x-…

A: The given integral,        ∫sec32x tan3x dx

Q: x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0…

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Q: Question 9 x2 – 4 dx Evaluate: ,2 - 4 + sec C %3D В Vx2 – 4 + 2 sec® + C © =2/ x2 – 4 + sec -1 +C D…

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form Judv =…

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Q: Question 13 5 Points In solving for the antiderivative of f(x) = 4- Fusing trigonometric…

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Q: dx Evaluate: xV x2 +4 Vx² +4 - 2 +C Vx² +4 +2 Vx²+4 - 2 ® zin x² + 4 +2) B + C None of the given…

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Q: 2x +1 The antiderivative of f(x) is (x – 3) (x – 2) A F (x) = 5 ln x – 3 + C x – 3 7 x - 2 B None of…

A: Here we have to find the antiderivative of the given function f(x).

Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: ?dx V4 -x² 2.

A: Given ∫x24-x2dx

Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

A: Let's find.

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: Given that cos 0 terminates in quadrant I, then what is the 40 41 A and that angle 0 value of sin 0?

A: See the answer below

Q: Question 15 If h(x): cosxdx and h =4, then h(0) is equal to A B) None -4 D. -3 E

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Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate Jcot(2x)dx. (use radian form…

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

A: Given problem :-

Q: is (use radian form of angle measure. answer in V1- x2 2 decimal places no space) Add your answer

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Q: Solve the integral: Vx + x A x ³ | + C B None of the given choices 6ln|5+ x 6|+ C + C E) +C

A: We need to evaluate the integral.

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V

A: Follow the procedure given below.

Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

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Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…

Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

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Q: e4X dx Which of the following trigonometric substitutions is the most appropriate to the intgral…

A: Integration

Q: a/2 sin x Evaluate the improper integral / - "xp² 1– 2cos x A The integral is divergent B 2 - 1 D

A: Given:     ∫π3π2sinx1-2cosxdx substitute u=1-2cosx→dudx=2sinx                   dx=12sinxdu…

Q: linear approximation of log 99

A: Explained below

Q: Determine the value of C in on the antiderivative of F(x) = sin°X)cos"(x) for x = 0.579 and y = 1.3.…

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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Q: ,2m +e-2m ) dm =2 | cosh2m dm A True B) False

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Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

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Q: 2- /2x+1 Let F(x,y) = C be the antiderivative of f(x) = .What is the value of C if x=17 and y=11?…

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Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2×), Determine the value of C if x = 64 and y=…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = ". What is the value of C if x=14 and y=4 ?…

A: Given problem:- Let F(x,y) = C be the antiderivative of f(x) =(2-√(2x+1))/(3-2x) What is the value…

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: Using reciprocal substitution x=-, the integral -dx reduces to (z- 1) 1/3 © -/t- dz 1/3 © - /(?-1)…

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Q: S. (e3* + 1) / (e3* + 1)²– 4 Evaluate: e™dx e sec -1 6. 3x +1 -+C 2 A e +1 e 3r B sec -1 +C 2 C None…

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Q: x dx is equivalent to 5+x If we let =V |5+x, the integral A u (5 = u²) du В u (u² – 5) du | 2(u²– 5)…

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Q: Find the volume of the solid of revolution when the region bounded by the line y=x+2 and the curve…

A: The volume for solid of revolution between curves is the volume of object between a curve y=fx and a…

Q: Using differential method, find the cube root of 600 in 5 decimal places and fourth root of 5000 in…

A: Here we have to find cube root of 600 and fourth root of 5000.

Q: 16.Which of the following is equal to fee dt ? O A. eet + C ee +C в. ee x + C D. ee 17.Which of the…

A: 16.∫eedt=ee∫dt=eet+coption A is correct.

Q: dæ Evaluate: A f (x) = -3 ln (|1 – V¤) + C B) None of the given choices f (x) = 3 ln (| V – 1|) +C f…

A: