The problems about Evaluate the Summation

Problem Solution
Evaluate the Summation sum from x=1 to 4 of 2x Solution: Step 1: Write out the terms of the summation for each value of $x$: $2 \cdot 1…
Evaluate the Summation sum from x=1 to 5 of 2x+3 Solution: **Step 1:** Write out the full series by substituting $x$ with each integer from 1 to 5.…
Evaluate the Summation sum from j=1 to 4 of 54(1/… Solution: Step 1: Write out the series for each value of $j$. $54 \left(\frac{1}{3}\right…
Evaluate the Summation sum from j=1 to 4 of (1/4)… Solution: Step 1: Write out the series for each value of $j$. $$\left(\frac{1}{4}\right)…
Evaluate the Summation sum from j=1 to 10 of 3j+6 Solution: Step 1: Decompose the given summation Break down the original summation into tw…
Evaluate the Summation sum from j=1 to 200 of 2j(… Solution: Step 1: Simplify the given summation expression. - **Step 1.1:** Distribute th…
Evaluate the Summation sum from j=1 to 38 of j^3-… Solution: Step 1: Decompose the original summation into two separate summations using th…
Find dy/dx y=80/(x^9) Solution: Step 1: Take the derivative of both sides of the equation with respect to $x$: …
Find dy/dx y=(cot(x)-csc(x))^-1 Solution: Step 1: Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(y…
Find dy/dx tan(xy)=x Solution: Step:1 Apply differentiation to both sides of the given equation, $\tan(xy) = x$…
Find dy/dx 3xy+y^2=4x+y Solution: Step 1 Take the derivative of each term in the equation $3xy + y^2 = 4x + y$ wit…
Find dy/dx 3x^2-2xy+3y=1 Solution: Step:1 Take the derivative of both sides of the equation with respect to $x$: $\…
Evaluate the Summation sum from k=0 to 2 of 12(-1… Solution: Step 1: Expand the Summation Write out each term of the summation for $k = 0, 1,…
Evaluate the Summation sum from k=0 to 3 of (-1/2… Solution: Step:1 Write out the summation for each term where $k$ ranges from $0$ to $3$. …
Evaluate the Summation sum from J=1 to 6 of 9J^2 Solution: Step 1 Extract the constant $9$ from the summation: $9 \sum_{J = 1}^{6} J^{2}$.…
Evaluate the Summation sum from j=1 to 8 of (-1)^… Solution: Step 1: Write out the terms of the summation for each integer $j$ from 1 to 8.…
Evaluate the Summation sum from k=1 to 30 of k^2+2 Solution: Step 1: Decompose the given summation into two separate summations. The origin…
Evaluate the Summation sum from k=1 to 250 of 2 Solution: Step 1: Identify the formula for summing a constant value, which is: $\sum_{k …
Evaluate the Summation sum from k=1 to 3 of k^3-6 Solution: Step 1: Write out the summation term for each integer from $k=1$ to $k=3$: $1^…
Evaluate the Summation sum from x=1 to 5 of x+4 Solution: Step 1: Expansion of the Summation Write out the terms of the summation by subs…