Answer (<u>assuming it can be in point-slope form)</u>:
Step-by-step explanation:
Use the point-slope formula to write the equation of the line. Substitute real values for , , and in the formula.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for and 3 for . This gives the following equation and answer in point-slope form:
b. Use the shell method. Revolving about the -axis generates shells with height when , and when . With radius , each shell of thickness contributes a volume of , so that as the number of shells gets larger and their thickness gets smaller, the total sum of their volumes converges to the definite integral
c. Use the washer method. Revolving about the -axis generates washers with outer radius , and inner radius if or if . With thickness , each washer has volume . As more and thinner washers get involved, the total volume converges to
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d. The side length of each square cross section is when , and when . With thickness , each cross section contributes a volume of . More and thinner sections lead to a total volume of