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Can someone complete CALCULUS WEEKLY REVIEW # 12 1. Find the derivative of: 2 . If jf ( * ) dx = 2a + 36
Can someone complete
CALCULUS WEEKLY REVIEW # 12 1. Find the derivative of: 2 . If jf ( * ) dx = 2a + 36 , find the value of f(x )= xV3x+4 Simplify your answer so it is written as one If ( * ) + 6 dx fraction. In terms of a and b. 3. What is the equation of the tangent line 4. If x2+y2=25, What is the value ofday to the graph of y = sin(2x) at x = It/4? dx2 at the point (-3, 4)? 5. Consider the space enclosed 6. Continuing number 5 - if the given between y = x2 + 1, the y-axis, and the space was rotated around the y-axis, find line y = 5. Find the area. the volume of the solid that would be formed. 7. Continuing #5, if the given space is the 8. Continuing #7, now suppose the cross- base of a solid with square cross-sections sections are perpendicular to the x-axis perpendicular to the y-axis, find the and they are equilateral triangles. Find the volume of the solid formed. volume of the solid formed. 9. Using the given table and three subintervals [2,5], [5,7], and [7,8], find Jf(x) dx 10. Solve the differential equation. using a trapezoidal approximation. 2 dy - = y X 2 5 7 8 dx (x ) 10 20 40 30
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