Evaluate the integral. Jarctan arctan(3t) dt

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: Suppose -5 -7 [ f(x)dx = 1, [² f(x) dx = 10, -8 -6 [ f(x) dx = = -7 (1ƒ(x) — 10) da - = -5 [ f(x) dx…

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Q: Practice similar Help me with this Use the ratio test to find the radius of convergence of the power…

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Q: Find the following for p =, q =, and r =. Find -2p - r Answer: Submit Answer www.w

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Q: Solve the equation and write complex solutions in standard form. x²-18x+91=0

A: Our Aim is to solve the equation given below and write complex solutions in standard form.Since, the…

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A: -0.5v NOTE: Refresh your page if you can't see any equations. . the given vector is  and we need to…

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A: Given: Diameter= 18 m Sides = 3 m  Dept = 3 m  Acceleration = 9.8 Density = 1000

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Q: 1. Find the general anti-derivative of each of the following functions. (a) f(x) = 3x² - 4x + π (b)…

A: General antiderivative of f(x) is given by F(x)+c , where c is constant and F'(x)= f(x) Simply we…

Q: You know that: ■ ■ ₁9(t) dt = 15 g(7) = g(9) = 5 Evaluate: +9 юст g'(x) √√25-(g(x))² Upload your…

A: Given:  ∫79gt dt=15g7=-52g9=5 To Find: To evaluate the integral ∫79g'x25-gx2 dx.

Q: Find the volume of the solid constructed by rotating the region under the curve f(x) = e¯ on the…

A: Volume of solid generated by revolving f( x ) about x axis is given as  V = ∫abπy2dx Given function…

Q: Example 2: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: a)limx→1f(fx) limx→1f(fx)=flimx→1fx ⇒f(3) =2 limx→1ffx=2

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ex-Y + 4, (3,…

A: Given plane z=ex−y+4   and (3,3,5)

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Q: =) f²4f(x) dx = [ =) f2f(x) dx =[ ☐☐ =) f₁5 f(x) dx = [

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Express the sum without using sigma notation. Simplify your answer where possible. Σ 3 logio(1) J =…

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Q: Determine whether the given point (x,y) is on the unit circle. Nin 21 No OYes

A: This is question of calculus  here one point is given  we have to verify that this point is on unit…

Q: The rate of change of the projected total assets (in constant 2005 dollars) in a government trust…

A: Given. f(x) = -0.364x2 - 0.296x + 176.3

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Q: Determine whether the given point (x,y) is on the unit circle. Nin Ο No OYes QUESTION 20 Use the…

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Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: lise 2 to ax 65x Substitution on u = 3-5 X the following integral

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Q: III. If f\x, y = x² cosy - y. e²y, then find all the second order partial derivatives.

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Q: 3. (a) Evaluate each definite integral using partial fractions (b) S x² + x + 1 (x + 1)²(x + 2) dx S…

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Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

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Q: Find the vectors T, N, and B at the given point. T = N B || || r(t) = (2 cos(t), 2 sin(t), 2…

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Q: B IUL 1:3 41) The bacteria in a 8-liter container double every 2 minutes. After 56 minutes the…

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Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

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Q: Write the component form of the vector shown on the graph below. O O O O Submit Answer

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Q: 7. Let F = x² + ²² − x² + y² j Find the line integral of the tangential component of F, from (-1,0)…

A: We have to evaluate the line integral. According to our guidelines we can solve only one question…

Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: f(x, y) = 9 — x² y4

A: To use the second derivative test, we need to find the critical points of the function first. To do…

Q: 3. Calculate the given quantity if: A=i-3j+2k; B=3i+3j; Č=3i+3k 6A-2B+C →>> b) Determine a unit…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Find the centroid of the region bounded by the graphs of the functions y = 6x², y = x² + 2 The…

A: Given that y=6x2 and y=x2+2. And we find the centroid.

Q: Given that tan A = 2 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: We have acceleration function, need to find position function using integration.

Q: 20. Prove = [-2,5, 1], [2,1, -1] and w = = [-6,0, 12] are orthogonal. -

A: Let three vectors a→ , b→ , c→ If these vectors are mutually orthogonal then  a→.b→ = 0 b→.c→ = 0…

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Q: Evaluate the integral. (Use C for the constant of integration.) [test dt

A: Given indefinite integral  ∫te8tdt

Q: A water tank has the shape of circular cone with base radius 2 m and height 4 m. If water being…

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Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Force is given by÷ F=kx2  When both the magnet are 6 cm(0.06 m) apart there is a force of 4N.…

Q: 2. The solution of the D.E. xdy + ydx = 0 is A. = C B. x² + y² = C C. xy = C D. x+y=C

A: xdy+ydx=0

Q: 3. For each of the following, compute dy. You do not have to simplify your answer. (a) y =tan(x³)…

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Q: Evaluate the integral. (Use C for the constant of integration.) [7. 7z³e² dz

A: ∫7z3ezdz

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: 1 Consider the polar equations r = 1 - sin 0 and r = 2 Determine the appropriate values for a and b…

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Q: a) A Particle is moving along a hyperbol sec XY = 18 As it reaches the point (6,3), the Y-…

A: As these are two different questions, I've solved the first one here. Kindly repost the b question…

Q: Optimization 6) A rectanguiar box with an open top is to have 3 a 10m³. The length of its base is…

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