3. Consider the line segment L = [-1-i, 1 + i]. Calculate the value of the integral 1₁² z² dz. Clearly show your work.

Q: calculate the integral in terms of the inverse hyperbolic functions.

A:

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

A:

Q: 5. Consider the function f(x) = Vx. a. Determine the equation of the line tangent to f at x 4. b.…

A: SOLUTION-

Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: 3) Find the equation of the curve whose arclength from the point (4, 1) to the point (9, -1) is…

A:

Q: Find all solutions of the equation in the interval [0,2pi ). costheta =0.6002.

A: Equation : cos θ=0.6002Interval : [0, 2π)

Q: Find the integral § Where 2²+3 (2-2) ² (2+2)(2+i) C is the circle 1Z1 = 3 dz

A:

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) %3D 25 ix + O b. y = 7 O…

A:

Q: Integrate the following: dx 1. a) V9x² +12x-5

A: Solution:-

Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

A:

Q: 4e*-3dx -12 O a. 4(e-1-e-12) O b. (e--e42) O c. 4(0² -e42) O d. O e. 4(e--e)

A: