5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the region bounded by the graphs of f(x) = √9 — x²,y- axis and x-axis about the line y = 0.

Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

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A: Value of definite integration is given.

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A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, B=32°, a=30, b=29, c=x

Q: - (f* (t² + 1)¹⁰0 dt)" dt - Some ₁ tanx 1 + t2 d. y = e. y =

A: According to Leibniz integral rule : ddx∫a(x)b(x) f(x)dx=fbxddxbx-faxddxax

Q: Use the theorems to evaluate the limit. lim x³ x → 2

A:

Q: If f(x) = lim (1+x)(1+x²) (1 + x² ) (1 + x² ).......((1+x) where [x] < 1, then - 618 1 (B) 3) (C)…

A:

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

A:

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A:

Q: For vectors and shown, drawu - 2 13 19 V

A:

Q: Q4: Let y = √t and t= x² then y(") = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

A:

Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

A:

Q: A ladder 42 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the…

A: We want to find the correct answer.

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A:

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

A:

Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

A:

Q: 1 Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3…

A:

Q: Given the ordered pair P(1, -3), determine the requested secant, cosecant, or cotangent of angle 0.…

A:

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

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A: The objective is to find the indefinite integral.

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A:

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A:

Q: x = y² - 2y and x = 4y - y²

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

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A:

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A: Solution is here

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A:

Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

A:

Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

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A:

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

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A:

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: 20. e ³.x (e²x + 1)² dx

A:

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A:

Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: Find the general solution of the differential equation: logS=x+y

A: Given problem:- Find the general solution of the differential equation: log S = x+y

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A: Recall:  Crn=n!r!(n-r)!

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A:

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A:

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