3. x² + 5x + C .2

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) x = 18 and a = 21. 3x…

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Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n 9. 5n 6. D

A: We need to find area.

Q: The absolute max occurs att The absolute min occurs at t

A: Follow the procedure given below.

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Q: Convert the polar coordinates (-4, ST) to Cartesian coordinates. O (-2V3, -2) O (2V3, 2) O (2V3, -2)

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Q: Vxdx 10. 9+x4 3/4

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Q: dx is solved by trigonometric substitution, which of the following substitutions is used? x2- 2x – 4…

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Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

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Q: dy = y + Vx² + y² dr Find the general solution of x-

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Q: 12. y' = x2 - 2xy + y2

A: See the answer below

Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

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

Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

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Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

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Q: 14. 2x2 – x³y' = y3 %3D -

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Q: 8y2 + 3 dy /6 – 2y

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Q: t 048 12 16 f(t)|32|29 25 23 19 Using the Riemann sums and this table, find the left and right sums…

A: Let's find.

Q: 10 | Vx3 + 6 dx, n = 4

A: Given

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: 5. y = (x? - 4) / (x² - 2x)

A: The given function,   y=x2-4x2-2x

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A: Explained below

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A: We have to write the given first order differential equation in standard form .

Q: 12 cm 4cm 4.cm 4 cm 9 cm

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A: We need to choose correct option.

Q: Find the derivative of the given function. Fill the missing expressions. Use logarithmic…

A: The given function,    y=x.secx.x2+1

Q: 15x2 – x3 - 43x - 19 Ax +B C D The integral dx can be rewritten as + dx. (x+1)2(x2-6x+ 13) J ax2+…

A: We need to evaluate integral.

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Q: The cost C (in millions of dollars) of removing p% of the industrial and municipal pollutants…

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Q: For the integral, tanx secx dx, if we let u = tan x, what is the re-written form of the integral:…

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Q: Find all the real zeros of f(x)= 4x³– 20x²+ 17x- 4 -2 -4 x = /4 4 || || ||

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Q: Write the complex number in standard form. (2-J-15)* O -11+ /15i O 4- 15/5i O-11-4/15i O -11+4/15i…

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Q: uate the integral dx. /1+x

A: Given  jkjbb

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Q: Convert the Cartesian coordinates (0, 1) to polar coordinates. (1, 45°) (1, 0°) (1, 90°)

A: Use relation between polar coordinates and cartesian coordinates

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

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