Integrate tan x from x = 0 to x = 1.32, then round your answer to the nearest thousandth (3 decimal places)

Q: 33. Water is stored in a right circular cone as shown. Water is being added to the cone at a…

A: We have to find rate of change of height of water.

Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: Find the derivative of the function. y = sin ¹(cos-¹(t))

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Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: can you please explain further what is being said I do not understand

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Q: Using the inverse Laplace transform, we have s + 14 s(s+ 2) where c-¹{ L Select one: O f(t) = 7-6e-…

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Q: Find the volume of the solid bounded below by the circular paraboloid 2 = x² + y2 and above by the…

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Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: To find the rate at which the area is changing

Q: Find the length of the cardioid r = 3+3 cos 0. The length of the cardioid is (Simplify your answer.)

A: formula for  length of cardioid is  L=∫abr2+(drdθ)2dθgiven  r=3+3cosθdcosθdθ=-sinθ

Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

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Q: f(t) = te4t

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Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

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Q: A brick wall makes two legs of a right angle, one 32 feet long and the other 72 feet long. A…

A: Let's find maximum area and it's dimensions.

Q: Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d)…

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Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

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Q: (b) n=1 3 2n-1

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Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

Q: Evaluate the indicated integrals if b is a positive real number constant. A. Stan (2) da B. So √6-2…

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Q: If J ㅠ O OT 2 O F/4 π 5100 3 dx x² - G(x) + C, what is G(1) - G(0)?

A: To find integration of given function.

Q: Find the most efficient substitution for the integral textbook. Enter f(2). Answer: e²x dx 1+Ax /₁…

A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

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Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: What is the value of the definite integral 8A 4 O 4T O -4T 8 √ √16 √16- x² dx?

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Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: Let C be the curve f(x) = the length of C, as follows: In(x) X 2 4 - between x = 1 and x = e.…

A: Arc length

Q: 6. Find a unit normal vector to the surface z = f(x, y) = xey - 2y at (0, 1, -1) and find an…

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Q: An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the…

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: 3) Solve the differential equaion (D2-4)y=e²-4

A: 3) The given differential equation D2-4y=e2x-4. We have to find the general solution of the…

Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: Use Partial Fractions to find | 2x + 24 (x+3)(x + 6) O None of these. O 6 ln x+6 - 4 ln |x +3| + C…

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Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: Suppose that f'(x) = x*. Match the concavity for the curve y = on (1/5, 1/4) on (3/10, 2/5) on…

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Q: Which of the following is the linear approximation of f(x) = sin x at x = ? OL(x) 1 OL(x) = x OL(x)…

A: Given f( x )= sinx at x = π2linear approximation L( x ) = f( a ) + ( x - a )f'( a )

Q: Set up the definite integral required to find the area of the region between the graph of y = x² y =…

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Q: 1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the…

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Q: Differentiate the function. g'(x) = g(x) 에너 1 VX +x

A: Given:g(x)=1x+x5

Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: Find the area of the region bounded by the given curves. (6,12) LY

A: The graph of the function is given  We have to find the area of the region .

Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx