ปืน น g-x) (2+x) (4x - 42.Sou 1-2

Q: 18. What is the length of the polar curve below? 3πt x = 8cos (0) for 0 ≤ 0 ≤ ³1

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Q: Find f. f(t) = 5e¹ - 6 sin(t) — 5 f"(t) = 5et + 6 sin t, f(0) = 0, f(π) = X 0

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Q: A bicycle with 20-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A: To find out angular speed and number of revolutions per minute.

Q: (b) p = 2 sin p cos 0

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

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Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: Let line l : x=y/2=z/3 and point P(1,0,1). Find an equation of the plane (in point-normal form)…

A: Solution of given question is written in below steps.

Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: Given: vector-valued function R(t) whose derivative R' (t) = (4t, 6t, -12t) (b) Reparametrize R…

A: Let's reparameterize vector value function R(t).

Q: Using Trapezoidal method √x dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: We have to find the value of the integration ∫01x dx  with n=4  using trapezoidal method. From…

Q: Let line 1: x = = = and point P(1,0,1). 2 ● Find the set of parametric equations of the line…

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Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: 5. (4xdy+3ydx) + x³y² (xdy + ydx) = 0 Ans: 6x³y² + x6y6 = c

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Q: A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds…

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Q: True or false If cosh x = then sinh x=

A: We have cheek the statement

Q: The rational expression A TRUE B FALSE 1 (9x² +16)² can still be decomposed.

A: this can not be decomposed. This statement is false.

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: dx x+y cos x 1tsinx Ans: (1 + sin x)y + x² = c

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Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Question Find the area A of the region that is bounded between the curve f(x) = 4 sin (4) g(x) = 4…

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Q: Find the area that are bounded by: y=x²+5x and y=3-x² from x=-2 to x=0.

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Q: -0.45|-2.8x - 4.06| 2.5

A: Here we have -0.45-2.8x-4.06-2.5

Q: Calculus Please Show

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Q: problem. Check that the following Function is harmonic and determine it it is a harmonic Conjugate.…

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Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

Q: True or false Unlike the anglet in the trigonometric function cost, the t in the cosht represents an…

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Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. Show solution and…

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: Function problem. Check that the following that is harmonic and determine is a harmonic conjugate. y…

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Q: Calculate the volume of the solid of revolution generated by rotating the graph of the following…

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

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Q: Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing,…

A: A function f (x) is increasing on the interval I if f'(x) &gt;0 for x in I. A function f (x) is…

Q: 3 S ₁² √ (²√₁² - ²√+²) ³ dt

A: Given

Q: (a) f'(x) = -12 X = 0,-1 (b) f'(x) = 0 X = 1,-6 (c) f'(x) = 12 x = 252 X X X

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Q: A runner is jogging at a constant speed of 3.5 miles per hour. a. Find the distance d that the…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: Let f(t) = (0 if 0 ≤t<3 (t-1 if 3 ≤t By using the definition of the Laplace transform we find that…

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Q: q4

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Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: Create a bucket by rotating around the y axis the curve y = 2 ln(x - 2) from y = 0 to y = 4. If this…

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Q: A sector of a circle has a diameter of 8 feet and an angle of radians. Find the area of the sector.…

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: Find f^-1(x) for f(x) = 9+8x f^-1(x) = ____

A: Topic = Function

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: Find a particular solution of as =10csc² 2t determined by s= 2 when t == . dt

A: dsdt=10csc2(2t)  s(π/4)=2 ds=10csc2(2t)  take integration both side