Evaluate the value of the given series.

step by step solution: the given equation is let’s consider: after substituting the above value of x into the initial …

Find the limit

step by step solution The given function is Notice that as x approaches 0 from the left, the function is: …

Given rhombus FGHI below, Solve for x.

Step-by-step solution-: Given: In rhombus FGHI By using Rhombus Opposite Angles Theorem If a parallelogram is also a rhombus, then …

Find the integration of:

step by step solution: Recall the Double-Angle Identity: For an angle x , the double-angle identity for sine is: Using this …

Point A and B are 200 mi apart.A cyclist starting at a point A and a motorcyclist at a point B moves toward each other.The speed of the cyclist is 17 mph, and the speed of motorcyclist is

Step By Step Solution: Let t be a time when cyc and mo meet: The distance between points A and …

Evaluate the integral

Step By Step Solution: The given integral is: Factor the term as: Let u=3x by Differentials, it follows that, du=3dx …

A is a point on the x-axis and B is a point on the y-axis. P is (9,-8) and P divides [AB] internally in the ratio 4:3.Find the coordinates of A and B.

step by step solution:- A is a point on the x-axis and B is on the y-axis It means, Coordinate …

if f(n)=f(n-1)+7 and f(1)=-18 then f(37)=?

step by step solution Recall the Recursive formula for an arithmetic sequence: The recursive formula for the nth term of an …

A fitness instructor purchases excercise bikes and treadmills for two gyms.For the first Gym,2 excercise bike and 3 treadmills cost \$2200.For the second Gym,3 excercise bike and 4 treadmills cost \$3000.How much does a treadmill cost ?

Step-by-Step Solution:- Let x and y be the price of exercise bike (e) and treadmill (t) respectively The price of …

Solve |3h-3|<12. Then graph the solution set on a separate sheet of paper.

Step-by-step solution-: Solve the inequality for h: After dividing by 3 into both sides, we get: The intersection of -3<h<5 …