Lesson Example Discussion Quiz: Class Homework |
Quiz At Home |
Title: Calculus |
Grade: 10-a Lesson: S2-L8 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: at Home
Problem Id | Problem | Options |
---|---|---|
1 |
Find the derivative of the function \$f(x) = (2x^2 - 3x + 5)^(3x+2)\$ |
A) \$ (3ln(2x^2 + 3x + 5) + ( (4x - 3)(3x + 2))/(2x^2 + 3x + 5) )( (2x^2 + 3x + 5)^(3x+2) )\$ B) \$ (4ln(2x^2 - 3x + 5) + ( (4x - 5)(3x + 2))/(2x^2 - 3x + 5) )( (2x^2 - 3x + 5)^(3x+1) )\$ C) \$ (3ln(2x^2 - 3x + 5) + ( (4x - 3)(3x + 2))/(2x^2 - 3x + 5) )( (2x^2 - 3x + 5)^(3x+2) )\$ D) \$ (3ln(2x^2 - 3x + 5) - ( (4x - 3)(3x + 2))/(2x^2 - 3x + 5) )( (2x^2 - 3x + 5)^(2x+3) )\$ |
2 |
Evaluate the definite integral \$ \int_0^(π/4) tan^2(x) sec^4(x) dx \$ |
A) \$ 7/25\$ B) \$ 9/16\$ C) \$ 5/17\$ D) \$ 8/15\$ |
3 |
Consider the following series: |
A) 2 B) 4 C) 0 D) None of these above |
4 |
Perform the division: |
A) \$ (-5 - i)/2 \$ B) \$ ( 5 - i)/2 \$ C) \$ (- 5 + i)/2 \$ D) \$ (5 + 3i)/2 \$ |
5 |
Find the integral of \$ f(x) = (x^2 + 5x + 1)/(x + 2) \$ |
A) \$ x + 1/2 (x + 2)^2 - 5ln| x + 2| + 2 \$ B) \$ x + 1/2 (x + 2)^2 + 5ln| x + 2| + 4 \$ C) \$ x - 1/4 (x + 2)^2 - 5ln| x + 2| + 2 \$ D) \$ 2x + 7(x + 2)^2 - 5ln| x + 2| + 7 \$ |
6 |
Find the derivative of the function |
A) \$ 4e^4u - (2/u^3) - 3u^2 \$ B) \$ 4e^4u - (2/u^2) - 3u^2 \$ C) \$ 4e^4u +(2/u^2) - 3u^2 \$ D) \$ 4e^4u + (2/u^2) + 3u^2 \$ |
7 |
Find the derivative of the function |
A) \$ ((3w^2 + 2 )/(w^2 + 2w) ) - ( 1/(2\sqrt(w))) + 4 \$ B) \$ ((3w^2 + 2 )/(w^3 + 2w) ) - ( 1/(2\sqrt(w))) + 4 \$ C) \$ ((2w^2 - 2 )/(w^3 + 2w) ) - ( 1/(2\sqrt(w))) + 4 \$ D) \$ ((2w^2 + 2 )/(w^3 + 2w) ) + ( 1/(2\sqrt(w))) - 4 \$ |
8 |
Evaluate the integral \$ \int 3e^x sin (e^x) dx \$. |
A) \$ (3e^x sin (e^x)) - (e^2x cos(e^x) - cos(e^x)) + c \$ B) \$ (3e^2x sin (e^x)) - (e^x cos(e^x) - cos(e^x)) + c \$ C) \$ (3e^x sin (e^x)) - (e^x cos(e^x) - cos(e^x)) + c \$ D) \$ (3e^x sin (e^2x)) + (e^x cos(e^x) - cos(e^x)) + c \$ |
9 |
Evaluate the following infinite series: |
A) converges, and its sum is 1 B) Diverges, and its sum is 1. C) converges, and its sum is 0. D) Diverges, and its sum is 0. |
10 |
Solve the equation \$ z^2 - 8z + 16 = 0\$ for z. |
A) z = 1 B) z = 2 C) z = 3 D) z = 4 |
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