2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9 sq. units 12 sq. units

Q: 3 Evaluate e*+y dxdy O e4 – 2es – 2e³ - O es – et – e3 O es – 2e4 + e3

A: Integrate in the given order and put the limit one by one.

Q: valuate the given: * 2. S sec t tan5 tdt

A: Using Trigonometry identity and substitution ,

Q: EVALUATE THE FT. 3 1) S (x³ +1) Inx dx 2.) Sxe ²x dx 3.) S dy √y + 4√√y³ 73

A: We have to evaluate the given indefinite integrals.According to our guidelines we can solve only 3…

Q: Find the area enclosed by the following curves: d). r = 2 cos 20

A: Given   r=2cos2θ

Q: 1. Find and sketch the domain of f(x, y) = (x – 3y)t.

A: For the solution of the problem follow the next step.

Q: In 2x -dp-

A: To evaluate the integral: ∫2ln2xxdx Solution: Let substitute t=ln2x. Differentiating both sides, we…

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

A:

Q: 3 (2x + V3x² dx 6. 1 2 Sle* +%-1 dx = 7. 0

A: Spliting the sum and integrating seperately we are getting the answer.

Q: Net Signed Area Confirm that the net signed area between the graph of f (x) = x – 1 and the interval…

A: Explained below

Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

Q: Find the area between the curve y² + 2x – 2y- 3 = 0 and the y– axis 15 а.) sq.units 2 b.) 36…

A:

Q: 5. Evaluate the double integral (2x – y) dA where D is bounded by the circle with the origin as its…

A:

Q: 7. A variable equilateral triangle whose plane is perpendicular to the x-axis has its two vertices…

A:

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A: We need to find area. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: Determine the moment of inertia of the region bounded by the lines 3x-y=0, x-7=0, and the x-axis…

A:

Q: 11. (а) Еxpand (5a -b)3 11. (b) Find the term containing x in the expansion of (x² – y)°

A: 5a-b3 use the formula a-b3=a3-3a2b+3ab2-b3 =5a3-35a2b+3· 5ab2-b3 =125a3-3·25a2b+15ab2-b3…