Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5 O987/81 O 4127/15 from x = 0 to x = 2 about

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A: Given that logaaxy+logaxy2+logaxy-2logxloga-alogax2Solution :logaaxy+logaxy2+logaxy-2logax-x2logaa…

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

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A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2…

A: The region bounded by y=x and y=12x is rotated about the x-axis.

Q: 7)Given the following exponential function f, where c > 1. f(x)= a (c))+k In addition, a < 0, b < 0,…

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Q: Use the theorems to evaluate the limit. 1 lim x → ∞ x2 ||

A: We have to evaluate the limit.

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A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

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

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Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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

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

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

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Q: Solve for the non-homogenous linear differential equation: y''+4y=cos^2(x)

A: Given; y''+4y=cos^2(x)

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A: Topic = Probability

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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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. With graph

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Q: 4. (a) (i) Calculate (4 + 6i)².

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Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

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Q: L 2 + 1 s(s − 1)(s + 1)(s − 4),

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

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Q: 4 + 5x² 4x + x³ dx

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Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: Let S (x,y) = 3e³x² +2e³x+5y + 4e'y?. Find fy A 3e'x4 + 10e³x + 5y + 28e¹y6 12e x³ + 6e³x+5y + 4e¹y7…

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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (a) How many…

A: Topic:- algebra  Note :- as per our guideline if more than three subparts posted than only first…

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: need

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Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

A: I am attaching image so that you understand each and every step.

Q: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…

A: Solved below.

Q: Find dy/dx:

A: We have to solve the dy/dx using fundamental theorem of calculus.

Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

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Q: 00 (-1) 22k+1 k! Determine whether the series converges absolutely, converges conditionally, or…

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Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.