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What is the value of tan? in terms of sin?. Ans: Tan ? = S i n ?/ C os ? Tan ? = S i n ? / √1 - S i n 2?
Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a
a part of a line with two end points.
Poisson Mathematical Properties 1. The expected or mean value = np = λ Whereas; n = Sample Size p = Probability of success 2. The variance = np = ? 3. Standard dev
Evaluate following limits. Solution: Let's begin this one off in the similar manner as the first part. Let's take the limit of each piece. This time note that since our l
The probability that a randomly selected 3-year old garter snake will live to be 4 years old is .54 (assume results are independent). What is the probability that five randomly se
Explain angle pairs ? Adjacent angle pairs Two angles are adjacent if they: 1. Have the same vertex. 2. Share a common side. 3. Have no interior points in common. Definit
Least Common Denominator Using Primes: A prime number is a whole number (integer) whose only factors are itself and one. So the first prime numbers are given as follows: 1,
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