Differentiation Questions and Answers

The position of a particle moving along a coordinate line is s 44 4t with s in meters and t in seconds Find the rate of change of the particle s position at t 5 sec BEEN The rate of change of the particle s position at t 5 sec is Type an integer or a simplified fraction m m sec

enter such a solution type the b b f x 7 x 3 2x 3 x 3

Find an equation of the plane that passes through the point Po 2 3 0 with a normal vector n 1 1 3 Which of the following equations is an equation of the plane that passes through the point Po 2 3 0 with a normal vector n 1 1 3 O A An equation for the plane is x y 3z 1 OB An equation for the plane is 2x 3y 1 OC An equation for the plane is x 3y 9 O D An equation for the plane is x y 11

1 naoviny and FIGUI Name two pairs of congruent angles in the figure J ZACK and BGO

t K Name two pairs of congruent angles in the figure 4531 UTOVI OB ZEGF and ZAGB

d ProoT K Part 1 of 4 Name two pairs of congruent angles in the

Ever had sex Yes No Grand Total Question 10 Female Icing tho Male Grand Total 814 1367 2181 If you are unable to see the image above you can download the image here 427 387 760 607 1187 994 3 p

K Two or more expressi Two or more expressi O Expression O Quantity Equation

Verify that the function y x is a solution of this differential equation x ry 2y 4x for x 0 then find the value of c for which the solution satisfies the initial condition y 10 3 C

na ProoT K Find the measures of the labele O Par 2x 60 Type a whole number

dy Find by implicit differentiation and evaluate the derivative at the given point dx At 1 1 x y 0 1 1 dy dx y

Olivia purchased a car worth 18 000 in the year 2001 It loses its value by 6 per year What is the value of the car in 2004 Mrs E Teaches Mach 3 A new car sells for 22 000 The rate of depreciation is 15 annually After 6 years the owner decides to sell the car What is the value of the car 2 Find the half life of a substance which decays according to the function A t 600e 0 05t where t is time in days 02916 Mrs ETeaches Math 4 Jasmine purchased a laptop worth 1 500 in 2007 It loses its value by 32 each year What is the value of the laptop in 2010

The position of an object at any time t in hours is given by s t 3t4 2t 30t 10 Determine when the object is moving to the right and when the object is moving to left

9 In Lecture 5 slide 38 we show that K int x 1 x 2 F d x int 0 v frac d d t mv d x int 0 v left m v d v v 2 d m right Show that mvdv v dm c dm Hint As m is a function of V do a logarithm differentiation on m ym 1 v 2 1 2 mo

Find all values of j for which the quadratic equation has two real solutions 8x 7x j 0 Write your answer as an equality or inequality in terms of j 0 0 O O O

f x y 2x 5y A Find the equation of the plane that passes through the point 1 2 f 1 2 Z B Use the linearization to approximate the values of at the point 0 98 1 95 and 0 96 1 9 Approximation of f 0 98 1 95 Approximation of f 0 96 1 92 C Compare the approximations form part b to the exact values of f 0 98 1 95 and f 0 96 1 92 Which approximation is more accurate Explain why this should be expected

Find f x f x and f 3 x for the following function f x 14ex f x C

Find the acute angle in degrees between the lines 1 3 x 1 3 y 17 and 3x y 8

d Use the table below to find dx 2x 3g x X f x g x d dx 2x 3g x 1 2 3 4 45 5 323 4 12 5 5 1 Ix 5 Type an integer or a decimal

f x IF F x x 9 3x 3 the f x x 6x 27 8 If g t t 4 4

use the product of the the derivative f x 2x 5 3x 5 q

Evaluate and simplify y y sec 5 8x

Calculate the derivative of the following function y sin 50 cos 0

Find for y 9x 4 dy dx dx 11 1 1 9x 4 10 9 ilo 9

Water Pressure in the oceam is a linear function of depth below the surface At the surface depth Dis O and the Pressure P is 151b in At a depth of to feet the Pressure is approximately 19 16 Write a linear equation that models the pressure P as a function of the depth D

4x 12 5 3x 15 7 11 Determine the inverse equation g x of the function g x x 12 5

Find an equation of the tangent line to the parabola y x at the point P 2 3 5 29 Start by calculating the slope of the secant line PQ for different points Q that get closer to the point P 2 3 5 29 Fill in this table similar to those in this example by calculating the slope of the tangent lines through P and the point Q x x for the values of a provided in the table mpQ 3 x 2 5 2 4 2 31 2 301 2 3001 Based on the values in this table it appears the slope of the tangent line should be m Now that you have the slope m of the tangent line and a point P 2 3 5 29 on the tangent line you can find the equation of the line tangent line is

Find the period y 4 tan x 1 Graph the function PAKAN 2 2 16 2 16r KNA A A 2

Find the period y 4 sec 2x Graph the function MUN Miu M N 16 M U

3 Express I and J in terms of the usual unit coordinate vectors i and j Then write i and j in terms of I and J pdf files only Drag n Drop here or Browse

Determine which of the following is equivalent to the given expression Answer csc 60

The two lines given by 2x 3y 29 and 3x 2y 80

Find the cross products uxv and vxu for the vectors u 2 4 9 and v 1 1 1 uxv Di Dj k Simplify your answers

7 2 dy Find for y 2x 3 dx dy dx 0

DP 1 Given that z 1 3i and z 4i 4 find the following a z x Z b Z Z c 3z z 2i 1

u axf y Su 2N f n n a f 41 v aN f y Find the derivative dy du axdy 2 3 Su 4 Su dy dx dy

Find f x f x and f x for the following function f x 7x 4x 3x f x f x x

5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 q Use the graph of f x above to estimate the value of f 2 to one decimal pla

Problem 14 Combine the following complex numbers 2 61 5 41 7 80

GA 3 Reasoning and Proof Fill in the reason that justifies each step ZCDE and ZEDF are supplementary mZCDE mZEDF 180 x 4x 20 180 5x 20 180 5x 200 x 40 ZCDE and ZEDF are supplementary mZCDE mZEDF 180 001 400 a b c d e 4 that form a linear pair are supplementary 4 tl a Question Part Reflexive pro Addition pro

of In a fraternity with mathematics nor p

0 1 pt 399 Details Solve 7t t 8 0 t in the form a bi Enter your

Proof Question 7 GA Part 1 of 2 Draw Euler circles for the argument and whether the conclusion follows from the All skateboards have wheels All riding toys have wheels All skateboards are riding toys

K Fill in the blank with an app An equation that has no so

d v Find in terms of x and y dx d y dx x y 10x 2 y X 20 02 5 xy X

This exercise is based on the following functions f x x 2 with domain g x x2 with domain 0 0 h x x 7 with domain 38 0 u x x 38 with domain 38 0 v x 18 x with domain 0 18 For q a 2 do the following a Write a formula for the indicated function q x b Give the function s domain Enter your answer using interval notation c Specify the function s value at the given point a 2 if defined If an answer is undefined enter UNDEFI q 2

List the intercepts of the graph shown on the right The intercept s is are Type an ordered pair Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed 4 16 2 Ay 16

Point 3 1 is dilated by a scale factor of The center of dilation is at the origin Find the coordinates of the image a 9 3 b 3 1 c 1 3 d 1 3 OO a b P

K Convert as ind 45 qt to L 45 qt 42 59

33 BLUE SAMIYAH The functions shown represent the populations of six cities after x years Which function best represents each situation Move the correct answer to each box Each answer may be used more than once Not all answers will be used