Q1: convert the Integral So √1-x² (x² + y²)dydx to the polar coordinates. 277

Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: see below the answer and calculation

Q: xp zx — 9L^gx f

A: Evaluate the ff. by integration by parts.

Q: B.) For numbers 1 to 10: Determine if limit of each function exist using the piece-w below x-3 if x…

A: Topic = Limits As per guidelines , At a time onlt three sub-parts of  question can be answered.…

Q: X X-2 such that (fog)(x) = X +2. Q₁/ let f(x) = , find a function y = g(x)

A: SOLUTION-

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: Given f(x,y) = ex cos y, Evaluate fx(0,2) O e² 00 O cos 2 O-sin 2 M

A: We have to find the derivative

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

Q: Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b-…

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Q: Q2. Find the exponential Fourier series for f(t): (1 = Fourier series. 0<t<1 (2 1<t<2 then find the…

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Q: 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.68 x√√x²-4 c-2+ In…

A: Given problem:-

Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

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Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: 2-1 4s - 4 s² - 16/

A:

Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

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

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Q: Which of the following is not true? 5 dx dx ® (Α Sº o 25-x² lim c+5-0 25-x² ® √ in(x²) dx = lim_…

A: We have determine the integration

Q: Plot the following curves in polar coordinates. 50 1. r = 2 + cos (52) 50 2. r = sin 0 + sin³ (5) 3.…

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Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: Calculate the present value for the following. Round the answers to the nearest cent Present Nominal…

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Q: Find the complete solution of e sinx-cos²x=0. dx

A: *Formula:- 1. ∫exdx =ex.2. sinxcosx = tanx.3.  1cosx = sec(x).4. ∫sec(x)tanx = sec(x).5. ey =x ⇒y =…

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 0 1 0…

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship…

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Q: Power series 2. √n+2 n=o Limit Comparison Test to show that the se=

A: Given is       power series ∑n=0∞(-3)n(x-2)n(n+2)when x=53∑n=0∞(-3)n(x-2)n(n+2)=…

Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: II. Solve the following problems: 1. A university holds an essay writing contest in English in which…

A: We have to find the winner essay.

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

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Q: Find the transition points. y = 2x6 =18x4

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Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral:

Q: Find a particular solution of ds 1 dt =cos-t determined by s=3 when t == 2 3 wha

A: Given ,    dsdt=cos(t/2)

Q: x² +2 (x-2)(x² - 2x+2) dx S U 2-2x 3 (√(√72²2²2²X + 2 + x ³₂ ) dx

A: ∫ x2+2x-2x2-2x+2dx

Q: Using Simpson's method Blank 1 Add your answer √xdx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: Find the value of C so that the function is a density function. f(x) = [Cx¹ if 0≤x≤ 9 10 otherwise

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Q: 6. (10 x 40) dx - x ²-8 x + 15 7. 10 cot 2x dx 8. (e 5x - e 2x + 8) dx 2 e 5x

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Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

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Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

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: Solve for x. O-1,-4 O -1,4 O 1,4 O 1,-4 x-1 3 2 x-2 =0

A: Given,      x-132x-2=0

Q: Specify the domain of the function f(x)=2x+10   The domain of f(x)fx is x

A: As we know that; The domain of the polynomial function, fx=a0xn+a1xn-1+a2xn-2+.... is always a real…

Q: where a represents the number (in thousands) of ten-packs demanded each week when the unit price is…

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Q: Find the exact solution for e2x−4ex−32=0.   If there is no solution, enter NA.   Enclose…

A: Please follow the next step.

Q: In evaluating 4 2 dx X√ X²-4 is same as evaluating lim cos ¹(f(x)). Determine the value of f(x) if…

A: We have to find the value of f(x).

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: If f is continuous on [a,b], and f(x) > 0 then b [²√f(x) dx = a √5°₁ S f(x) dx

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

A: Using trapezoidal method, integration value is evaluated.

Q: entus 1. √ √2x + 1 dx

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Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

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Q: 4. 53-10x dx

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