# Math Homework Help Grade 11

By Grade 11, students should have a relatively clear idea of which path they want to take. Do they want to go to college or university, or head straight into the workplace? Whatever the path, Oxford Learning®’s Grade 11 math tutors help students get there.

Students receive quality instruction in Oxford Learning®’s Grade 11 math help program, helping them improve math comprehension. They also develop study skills, planning abilities, critical thinking skills, and confidence, as well as homework strategies to make math homework easier.

### Grade 11 Math Tutoring Subjects

##### Characteristics of Functions
• Understanding of functions
• Understanding functional representations
• Function inverses
##### Exponential Functions
• Evaluate powers with rational exponents
• Numeric, graphical, and algebraic representations of exponential functions
• Solve problems from real-world applications
##### Discrete Functions
• Recursive sequences
• Make connections between sequences, series, and financial applications
##### Trigonometric Functions
• Prove trigonometric identities
• Primary trigonometric ratios, the sine law, and the cosine law
• Expand and simplify quadratic expressions
• Solve problems involving quadratic functions
##### Exponential Functions
• Simplify and solve numerical expressions with exponents
• Compound interest and annuities
##### Trigonometric Functions
• Identify and represent sine functions
• Solve problems involving sine functions from real-world applications
##### Mathematical Models
• Learn to solve problems involving exponential relations from real-world applications
##### Personal Finance
• Compare different financial institutions and their services
• Relate compound interest to exponential growth
• Evaluate owning a vehicle
##### Geometry & Trigonometry
• Solve problems involving acute triangles using the sine law and cosine law with real-world applications
##### Data Management
• Collect data
• Organize data
• Analyze data
• Demonstrate understanding in payroll and purchasing power
##### Saving, Investing, and Borrowing
• Differentiate between simple and compound interest
• Assess risks with borrowing
• Compare services from various financial institutions
##### Transportation & Travel
• Evaluate costs associated with owning and operating a vehicle
• Assess information about different modes of transportation
• Learn to plan a trip

TutorVista is known for its efficient online sessions that make students confident and intelligent before their exams. The online tutoring service offered is convenient and prompt, any assistance related to math is just a click away. Proficient academicians associated with TutorVista provide assistance as per the student's learning requirements.

Based on the academic standards, students can choose their topics and schedule their sessions anytime from home. Moreover, TutorVista offers personalized attention to students and also covers vast topics in each subject. Math is an important subject and students must practice Math thoroughly in order to score well in exams. TutorVista provides homework help for Math wherein students can choose unlimited sessions to make their exam preparation beneficial and effective.

By choosing 11th Grade Math tutoring programs of TutorVista, students can not only understand Math concepts, but also learn methods to solve difficult Math problems quickly and fluently. Online sessions offered by TutorVista are complete, competent and beneficial for students.

The tutor andstudent talk to each other usingvoice (VoIP) and share different problems by using an interactive whiteboard. Moreover, students can complete their assessments and tasks by getting adequate help form virtual tutors. It is proved that one-on-one tutoring sessions are valuable as these are done under the supervision of skilled subject experts.

### Tips to Achieve Good Grades:

• Practice all Math chapters repeatedly by taking learning assistance from TutorVista.
• Solve all difficult Math problems while preparing for exams.
• Schedule unlimited online sessions to revise Math topics appropriately.
• Solve online worksheets and enhance your confidence in each topic.

### Important topics of 11th Grade Math:

TutorVista covers all important Math topics included in the Class 11 Math syllabus.

Students are advised to practice various Math problems to improve their subject knowledge.Class 11 includes important learning of most essential topics which includes algebra, sets and function, coordinate geometry, statistics and probability that are added in the syllabus. Students are advised to follow these topics thoroughly to score well in exams. Absolute knowledge in Math is a key for students to get prodigious jobs in different fields.

### Solved Examples

Question 1: Find first term of arithmetic progression whose 7th and 10th terms are 35 and 59 respectively.
Solution:

Let 'a' be the first term. Now we have to find the value of 'a' by using given instructions.

Given:  7th term, a$_7$ = 35 and 10th term, a$_{10}$ = 59

We know that the general term of AP is, a$_n$ = a + (n - 1)d

$\Rightarrow$ a$_7$ = a + 6d = 35

or  a + 6d = 35  ...........(i)

and a$_{10}$ = a + 9d = 59

or a + 9d = 59  ..............(ii)

The value of 'a' can be found by subtracting equation (ii) from equation (i)

a + 6d = 35

a + 9d = 59
-      -      -
-----------------
-3d = -24
-----------------

$\Rightarrow$ d = 8

Substitute the result of d in equation (i)

a + 6 $\times$ 8 = 35

a + 48 = 35

a = -13

The value of a is -13.

Question 2: From 8 men and 5 women, four persons are being selected to form a committee so that at least 2 women are available in the committee. In how many ways can it be done?
Solution:

The possible number of ways are:

2 women and 2 men = $^5$C$_2$ $\times$ $^8$C$_2$ = 280

3 women and 1 man = $^5$C$_3$ $\times$ $^8$C$_1$ = 80

4 women only = $^5$C$_4$ = 5

So total number of ways = 280 + 80 + 5 = 365

Question 1: Sum of first 4 terms of arithmetic progression is 28 and sum of first eight terms is 88. Find sum of first 10 terms. (Answer: S$_{10}$ = 130)
Question 2: Use induction to prove that, $\frac{1}{2}$ + $\frac{1}{4}$ + $\frac{1}{8}$ + ......+ $\frac{1}{2^n}$ = $\frac{2^n - 1}{2^n}$.