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  1. V

    Trigonometric Functions

    Hi, Attached is 6 questions from different sections of the Trigonometric Functions chapter. Sorry for the hassle but i haven't been able to figure out the method for these so any help would be appreciated. Thank you!!
  2. V

    2 unit - Integration and the Logarithmic Function

    Hi can someone please give me the method to solve the following: Find the indefinite integral (primitive function) of 3^(2x − 1) The answer is [3^(2x − 1)]/2loge3 + C The textbook doesn't have a method and my teacher said that we don't really need to know how because it is extension...
  3. V

    Integration of Exponential Functions

    Thankyou !! :)
  4. V

    Integration of Exponential Functions

    Hi, Could someone please explain the following questions: 9. Find the volume of the solid formed when the curve y = e^−x + 1 is rotated about the x -axis from x = 1 to x = 2, correct to 1 decimal place. 11. (b) find integral of x(2 + x)e^x dx. 12. The curve y = √(e^x + 1) is rotated...
  5. V

    Intergrals (sums and differences in area)

    Hi, Thank you so so much!! Could you please explain how Q10 works please? Also i made a mistake on question 15, one of the equations was meant to be y = the square root of (4-x^2) so thats why the answers don't match
  6. V

    Intergrals - Sums and differences of areas

    Thank you so much!!
  7. V

    Intergrals (sums and differences in area)

    Hi, Im sorry i know this is a shit load of questions but I've been struggling all afternoon with them so any help would be greatly appreciated!! :)) 9. Find the area enclosed between the curve y = x 3 , the x -axis and the line y = -3 x + 4 10. Find the area enclosed by the curves y = ( x -...
  8. V

    Intergrals - Sums and differences of areas

    Hi, Im not sure of the way you do these questions if someone could please explain, Find the area bounded by the line y = 1 and the curve y = x 2 . Find the area bounded by the curve y = 9 - x 2 and the line y = 5.
  9. V

    Intergrals - Areas Enclosed by the y -axis

    Ohh thank you so much, i accidentally wrote the equation as -y + 1 in my working out
  10. V

    Intergrals - Areas Enclosed by the y -axis

    Hi, Can someone please go through the following question, every time i go through it, there is an error as when you rearrange the equation so you can sub in the y values, there is a minus value in the square root of 4. Question : Find the area bounded by the curve y = x 4 + 1, the y-axis...
  11. V

    Parabola question

    Sorry i attached the wrong answer But, thank you :)
  12. V

    Parabola question

    Hi, Can someone please go through how to do the following question? the answer is attached. Find the equation of the parabola with coordinates of the vertex (0, 0) and equation of the axis y = 0 and passing through the point (3, 6) Thank you :))
  13. V

    2 Unit Locus Questions

    Hi Can someone please go through how to answer questions 24 and 25? The answers are also attatched. Thank you !! :)
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