Find the function whose tangent line has slope (x+(-1)(c+1)) e (+1)x for each value of x...

  

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Find the function whose tangent line has slope (x+(-1)(c+1)) e (+1)x for each value of x and whose graph passes through the point (0,c + 1). Let R be the region in the first quadrant bounded by the curves y el(+1)x(-1)] + (c+2), y = 1, x = 0 and x = (c + 2). i) Sketch the region R. ii) Set up the definite integral which calculates the volume of the solid obtained by revolving the region R about the x = (c + 2) by using the shell method. (Do not evaluate the integral). iii) Set up the definite integrals which calculates the volume of the solid obtained by revolving the region R about the y-axis by using the disk/washer method. (Do not evaluate the integral). RULE: 1. Write your student number clearly. 2. a 7th digit of your student number 3. b 8th digit of your student number 4: c= Remainder of a+b according to modulus 3. Find the function whose tangent line has slope (x+(-1)(c+1)) e (+1)x for each value of x and whose graph passes through the point (0,c + 1). Let R be the region in the first quadrant bounded by the curves y el(+1)x(-1)] + (c+2), y = 1, x = 0 and x = (c + 2). i) Sketch the region R. ii) Set up the definite integral which calculates the volume of the solid obtained by revolving the region R about the x = (c + 2) by using the shell method. (Do not evaluate the integral). iii) Set up the definite integrals which calculates the volume of the solid obtained by revolving the region R about the y-axis by using the disk/washer method. (Do not evaluate the integral). RULE: 1. Write your student number clearly. 2. a 7th digit of your student number 3. b 8th digit of your student number 4: c= Remainder of a+b according to modulus 3.

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i To sketch the region R start by plotting the curves yex1c2 y1 x0 and xc2 on a graph in the first q... View the full answer