Evaluate the integral directly by integration with respect to x and y. 7 x=(y/5)+1 5x-y S S dxdy x=y/5

Q: 3. J2sec (w) - 8csc(w)cot(w) dw from w = л/6 to w = π/3

A: Please see the below picture for detailed solution.

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

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Q: II. Solve the following problems. Enclose final answer. 1. The Maximum point of y = (x²+2x+10) (x-3)

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Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

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Q: 2e^xdx-3e^ydy=0   Find y and y'.

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Q: 3.sin (2 4. (4 sin 3x - x) dx

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Q: nu = ln (2²+2²-²) then x + you is x³+x²y_y²³ Su Su da

A: Homogeneous function

Q: Find a power series solution of y" + (1+x²)y=0 13 a. ao(1-x². - + x² + ...) + a₁(x-²1²x³- 24 720 13…

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Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to solve  part 1, 2 and 3.

Q: Let f(x) = x² - 6x. (A) Find the slope of the secant line joining (1, f(1)) and (9, ƒ(9)). Slope of…

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Q: A circular swimming pool has a diameter of 12 m, the sides are 3 m high, and the depth of the water…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: please show full solution thankyou, if it is not possible to solve all three please answer the…

Q: Find the integral dx √=x² + 6x I

A: We know that ∫dxa2-x2 = sin-1xa+C

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Sx√x +Tdx

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Q: 2 S²3 (x²-3x+18) 9x-X³

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Q: Lim √2+x² X

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Q: Numerical Integration: •2 1 [.. -dx Jo √x 1.

A: Numerical integration

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line

Q: Find the equation(s) of a line that is tangent to f(x) =4x - x² and pass through P (2,5). (Provide…

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Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: hello, could you sketch the graph in 3d please?

A: Let's draw the graph in 3D.

Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: Applications

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Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos (0.002) ? O 1 O 1.001 O…

A: This can be answered using calculator since the exponential and cosine value can't be find…

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: 1 Lim x→0* x0x 1 sin x

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to find the volume.

Q: Solve the following problems. Enclose final answe 8x+4 (x-2)² 2 2. The Minimum point of y =

A: Topic:- application of derivatives

Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

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Q: 3 If the function u = ln (2³ +2²4-²) then x ou + you is 2e^u e^2u 02 1/2 Other:

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: er each integral is improper. If it is improper, give your jus

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: PRACTICE Q7. Consider the series Σ(−1)n-1 (x + 1)" n-0 nb2n where b is a given non-zero constant.…

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Q: ӘТ ӘР V

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Q: The distance between -3 and 7 on the real line is 10. ibs O صواب

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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