Find an equation for the plane tangent to the level surface x² + y? +z = 4 at the point Po(1,1, 2). Then find the parametric equations for the line that is normal to the surface at Po.

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Q: Find the exact values of the six trigonometric functions of each angle 0. (a) y (-V7, -1) sin(0) =…

A: (a) From the given figure: Here, OA=AB2+OB2=7+1=8=22

Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

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Q: Find V· (F x G), if F(x, y, z) = 11xi+j+ 4yk and G(x, y, z) = xi+ yj – zk. V· (F × G)

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Q: tan 0 d 30. dO sec² y dy

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Q: Please

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral

Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula k(t) to find k(t). 13 r(t) = 10 cos(7t)i+ 10 sin(7t)j+…

A: Given; r(t)=10cos(7t)i+10sin(10t)j+3tk

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

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Q: 10 10 If f (x) dx=17 and f (x) dx=12, then f (x) dx=5 . 8. (A) True (B) False

A: To determine whether the given statement is true or false.

Q: Find [r(t) · u(t)] and [r(t) × u(t)] in two different ways. dt dt r(t) = ti + 8t2j + t³k, _u(t) =…

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Q: dz dz and dy dx Suppose z is a function of x and y, and tan y² + x² = z®e6y. Solve for

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Q: 2 ー (4-x²) dx -2

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Q: Q2: Solve the following integrals:- (1) fx² sin x dx (2) f dx 4x2- xp: (3)f x sin(x + 1)dx

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Q: 1 Find the Fourier series for 1, if -п <х <0 { { -1, f (x) = -1, if 0 < x< n

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Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: xdx 46. S- V3+2x². – x+

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Q: Determine the open Intervals on which the graph ts concave upward or concave downward. (Enter your…

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Q: A dietitian at a hospital once a patient to have a meal that is 64 g of protein, 44 g of…

A: We need to find How many servings of each food should be given to the patient.

Q: ||r(t) × r"(t)|| ||r(t)||³ Use the formula k(t) = to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk…

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Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F) = (4(y+2), 4:x, 0)

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Q: 11. Rules of Definite Integrals: If f(x)dx =12, S" S(x)dx = 6, and "S(x)dx= 4 , find the following:…

A: We need to perform integral.

Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

A: Find the average value of the function over the given interval.       f(x)=sin x  ,    0,π Find all…

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcos…

A: Givencos-1cos-3π2We know…

Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 325…

A: v(t)=325sin(100πt) period =2π/B B=2π/(100π) B=1/50 B=0.02 sec

Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

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Q: 5. Lva – 2r dx 6. 5x+2

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Q: what is the exact answer

A: The exact answer was the second last line of the original solution.  So, the exact answer is:…

Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: 2. A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it…

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Q: Find the average value of the function over the given Interval and all values of x In the Interval…

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Q: Use the fourth Taylor polynomial for f(x) = Va at a = 9 to estimate v10. Round your answer to four…

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Q: sin(6x) lim ? 2+0 sin(2x) Does not exist O 3

A: Given problem:-

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to calculate value of x.

Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 3X 2. y = e?%cos (2x)is a solution to…

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Q: A. Identify the given differential equation as to the dependent variable, degree of the equation,…

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Q: Find the volume of the solid Formed by revolving the region bounded by the graphs OF y=x +1, y = 0,…

A: Find your answer below

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: 5. What is the general solution of the following differential ,d*y 6. equation 'dx+ d³y.od?y dx2 dx3

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Q: Solve the triangle. 3. B. 7. As 38.2° (Round to one decimal place as needed.) (Round to one decimal…

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Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 4.…

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Q: A- Find Tylor series generated by f(x) = 2* at 1.

A: The given function fx=2x at a=1

Q: Use continuity to evaluate the limit. 8 + Vx lim 8 + x

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Q: Q5) Find the integration by using (by part method): Se3x sin X dX

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Q: 8 Evelluate the double integral: + 3x) dydx

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