Use l'Hôpital's Rule to find the limit. lim 0-0 4-4 cos 0 sin 20 OA. 2 О в. о OC. ∞ OD. 1

Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: 4) Find √3x + 5dx

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

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Q: f(x) dx - f g(x)dx - f¹ g(x)dx A. -1 B. 7 C. 1 D. -7

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Q: A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to…

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Q: Use l' Hospital's Rule to find the limit. Also, show why we can use this rule. Do not round.…

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Q: For items 1 to 10, determine 1. y 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√x 2. y=-- (A) 3. y=e-sinz (A)…

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Q: [xp(x)ƒ ƒ + xp((x)ƒ−),ƒ] – xp(x)ƒ‚ƒ (ª

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Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the divergence at (15, 0, 0) for the vector field F(x, y, z)= e*sinyi-e cosyj+z²k O 16 O 451 30…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: A region bounded byf (x) = 4 3 2 X Find the volume of the solid formed by revolving the region about…

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.

Q: Solve the equation sinx [0, 2T). 22 7л 11л 6 6 П О, л, , л 29 ОО, л, а, 0, 6 5 л 6 Зл 29 11 6 П 5 л…

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Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

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Q: Integrate: fx(2x - 1)7 dx

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Q: 6. next question Two functions are shown. y = f(z) is the function on the left and y=af[b(z-c)] +d…

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Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

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Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

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Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

A: The given functions, i) fx=5x2e3x+5ii) fx=ln x7x+23iii) gx=2x3-9x-2+7x5

Q: If 4x² + 5x + xy = 4 and y(4) = -20, find y'(4) by implicit differentiation.

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Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 5 cos(t)i + 11 sin(t)j…

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

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Q: 12. [*[*(v³² + y) dady

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: *10 = If it is known that Soº f(x) dx 10 find so f(x) dx J8 17 and №o f(x) dx = 12

A: Given,  ∫010f(x) dx=17 and ∫08f(x) dx=12 To find, ∫810f(x) dx=?

Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

Q: Dividing numerator and denominator by n², we have 6 + 15m² lim n- n + 12n² = lim 6 + 15m² n² n+ 12n²…

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Q: Solve the given equation for x. -5= −6+ 3e** O-4e³ O e³ --4 In 3 --4 O ln 3 4

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Q: aight Highway. He determines the angles of depression to two mileposts, 6.5 mi apart, to be 37° and…

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Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

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Q: What is f(x) = f 3₁√√xdx? O F(x) = O سانده است 2 + C 3 F(x)= 2x 2 3 F(x) = 2x² + C ○ F(x) = 2x² + C

A: The given integral fx=∫3xdx

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² 7z² = 138, (-8, -9,…

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Q: Write a function in degree mode and a function in radian mode to model the grap h(t)= h(t)=

A: Given: the graph is given to you in the question we have to find the function in degree mode and…

Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A population P, is increasing proportional to (400 - P), and P never gets larger than 400. At t = 0…

A: Solved below

Q: 8. Evaluate the line integral fx'dx + xe 'dy where C is the closed path along the triangle in the…

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Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

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Q: The area of a healing wound day at the moment when r is given by A = ². The radius is decreasing at…

A: This question is based on application derivative.

Q: MTH 32 (3) What is the Definite Integral of a function f from a to b?

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Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

A: We have to find the angle

Q: a) fo f(x) dx d) f3f(x) dx b) √²³ƒf(x)dx c) ff(x) dx e) fºƒ(x)dx − [f(−ƒ(x))dx + f² ƒ(x)dx]

A: Note:- according to the company policy we can attempt maximum three subparts of a question so please…

Q: #2. Find a power series representation (centered at a = 0) for the function below f(x) = = 1 1+x5…

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Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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