Provide an appropriate response.
-(a) Express $\frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 }$ as a sum of partial fractions.
(b) Evaluate $\int \frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 } d x$.
(c) Evaluate $\int \frac { 2 x ^ { 2 } - 3 x - 21 } { x ^ { 2 } - 3 x - 10 } d x$.
(d) Find a solution to the initial value problem: $\frac { d y } { d x } = \frac { 3 x y - y } { x ^ { 2 } - 3 x - 10 } , \quad y ( 4 ) = 12 .$

Question

Quizplus · Accepted Answer

The Answer of Provide an appropriate response.
-(a) Express $\frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 }$ as a sum of partial fractions.
(b) Evaluate $\int \frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 } d x$.
(c) Evaluate $\int \frac { 2 x ^ { 2 } - 3 x - 21 } { x ^ { 2 } - 3 x - 10 } d x$.
(d) Find a solution to the initial value problem: $\frac { d y } { d x } = \frac { 3 x y - y } { x ^ { 2 } - 3 x - 10 } , \quad y ( 4 ) = 12 .$

Provide an Appropriate Response 3x−1x2−3x−10\frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 }x2−3x−103x−1​

Provide an Appropriate Response $\frac { 3 x - 1 } { x ^ { 2 } - 3 x - 10 }$