Evaluate the indefinite integral. (Use C for the constant of integration.) [s sin(t)√1 + cos(t) dt

Q: Switch the order of integration in the following double integrals (Do not evaluate the integrals).

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Q: Find the largest open interval on which the function is decreasing f(x) = − √√x+3 A. (3, 0) OB. (-∞,…

A: fx=-x+3 Domain is the values of x for which a function is defined  x+3≥0 x≥-3

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Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: Spherical Coordinates

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A: Here, to find the area of the region bounded by the graphs of the equations: x+y=5x=0y=0 Here, y=0,…

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Q: 5. Given the following graph for the first derivative of f(x), determine the interval of increase…

A: We need to find interval of increase and decrease of f(x).

Q: Convert the point (p, 0, 6) = 4, 57T 4'3 π 7) to Cartesian coordinates. Give answers either…

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Q: Evaluate the iterated integral. SS²³² 10 √1-x³ dy dx

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Q: 2 x² (y - 1)² lim (x,y)→(0,1) x² + (y − 1)²

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Q: 6 dy/dt + 4y = y² (1) Determine the first-order linear equation

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Q: Let f(x, y) = and let g(x, y) O O rºy6 26+y6 O 0 0 6x³y³ 6x6 + 6y6 Which of the above functions are…

A: fx,y=x6y6x6+y6if x,y≠0,00if x,y=0,0 gx,y=6x3y36x6+6y6if x,y≠0,00if x,y=0,0

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Q: Given and ƒ¹(−1) = −5 and ƒ(−1) = 0. Find ƒ'(x) = 0 and find f(1) = = f"(2)=5x+1

A: given f''(x)=5x+1f'(-1)=-5  and f(-1)=0we know ∫xndx=xn+1n+1+c

Q: A sample contains 560 grams of Uranium-232, a radioactive isotope, that decays according to the…

A: Given: N(t) = 560e-0.010060t  Rate when t = 20 year's

Q: Sketch the region R of integration and switch the order of integration. *9 81 L³R -10-8 -6 80- 81…

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Q: Evaluate the indefinite integral. [x√3-x² dx

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Q: For the regions bounded by y = 6cosx and Part A: Find the limits of integration. | y=x²-7₁ 5 Part B:…

A: Given that , y=6cosx and y=15x2-7

Q: Determine whether the series converges or diverges. If it converges, find its sum. Σn (m²+1) ln n=1

A: The solution is shown in step-2

Q: Find the particular antiderivative that satisfies the following conditions: dy dx y : పా || = 7-6x;…

A: Given: dydx =  7 - 6x    y(0) = 7

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: To find the degree, leading coefficients, and the maximum number of  real zeros of the following…

Q: For each function, determine the long run behavior x² +1 ³+2 x² +1 x²+2 has Select an answer Select…

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Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

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Q: Convert the point (p, 0, 0) = 4, 5п п 3 9 to Cartesian coordinates. Give answers either a…

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Q: Find derivative of f(x) = In (3x²-x) O (6x-1)/(3x²-1) O-1/(3x²-x) O6x/(3x²-x) O (6x-1)/(3x²-x)

A: given f(x)=ln3x2-x we know (i) d dx(lnx)=1x(ii) d dx(xn)=nxn-1

Q: Determine all critical points for the function. f(x) = 45x³ – 3x5 A. x= -3 O B. x=0, x= -3, and x =…

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Q: Evaluate the following integrals. x - 1 (a) J x² + 4x + 13 dx

A: As per the guidelines we supposed to solve 1st question, please upload rest part again.

Q: Find the length of the curve (t) = e²t cos(t), y = e²t sin(t) for 0 ≤ t ≤ 6. Give an exact answer,…

A: The given curve is: x(t)=e2t cos(t),     y(t)=e2t sin(t)       for  0≤t≤6

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Q: Use the given transformation to evaluate the integral. JJ₁50 5(x + y) ex² - y² da, where R is the…

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Q: 5 32 w PO 2 m LO 5 What is the least possible degree of the polynomial graphed above?

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Q: 5. Evaluate: √a² + x² dx

A: To evaluate the following integral. ∫a2+x2 dx

Q: Learning Target IAI: I can compute the area between two curves. 1. Set up the integral to find the…

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Q: Find derivative of f(x): f(x)= x Onone of the above 01 OX 00

A: Find the derivative of f(x): f(x)=x (A) none of the above (B) 1 (C) x (D) 0

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2л, and 0 ≤ y ≤ n.) (a) (5,…

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Q: Evaluate the surface integral. Joyc y ds, S is the helicoid with vector equation r(u, v) = (u cos v,…

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Q: Find the most general antiderivative for the function Antiderivative = ? 6 -

A: ⇒fx=6x3-4x23

Q: The integral 1 da can be rewritten as ff(u) du by making the substitution u = 5 x + 4. √5x+4 What is…

A: ∫15x+4dx

Q: For each of the conservative vector fields below, find a potential function f. (1) F = 6yzi + 6xzj +…

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Q: 7. A street lamp whose light is 5 m from the ground is 6 m from a brick wall. A person who is 2 m…

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Q: Use the given transformation to evaluate the integral. Jk 2 sin(81x² + 81y2) dA, where R is the…

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Q: Draw a picture of the following vectors, then calculate them algebraically. Make sure you label the…

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Q: The tank shown below is full of water. Using the fact that the weight of water is 62.5 lb/ft³, find…

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Q: 1. fx' (3ax-2)'dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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