Samenvattingen, Aantekeningen en Examens
Op zoek naar een samenvatting over ? Op deze pagina vind je 156 samenvattingen over .
Pagina 4 van de 156 resultaten
Sorteer op
-
Calculus of the Life Sciences EXAM 1 Questions with Latest Update
- Tentamen (uitwerkingen) • 2 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
What is the difference quotient? - ANSWER-f(x+h)-(f(x) 
_______________ 
 h 
 
Lim f(x) = 4 
x > 2 - ANSWER-As x approaches 2, y is very close to 4 
 
Lim f(x) = 2 
x > 2 - ANSWER-As x approaches 2, y is either undef. or = to 4 
 
Does the limit exist? 
 
Lim f(x) = 4 
x > 2 - ANSWER- 
 
Lim x^2 - 9 
 ________ 
 x > 3 x - 3 - ANSWER-Step 1: (x-3)(x+3) 
 _____________ 
 x-3 
 
Step 2: (cross out)(x+3) 
 ______________________ 
 cross out 
 
Step 3: x+3 
 
Step 4: 3 
 
What is the de...
-
Differential Calculus Exam Questions with Latest Update
- Tentamen (uitwerkingen) • 2 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
Average Rate of Change - ANSWER-Slope of two points 
 
Instantaneous Rate of Change - ANSWER-Derivative 
 
Derivative is - ANSWER-the slope of the tangent line at one point 
 
Mean Value Theorem - ANSWER-If a function is both continuous and differentiable on an interval, then there exists some 'c' in that interval at which the average rate of change equals the instantaneous rate of change 
 
Normal line - ANSWER-Perpendicular to a tangent line 
 
Definition of Derivative - ANSWER-The limit as ...
-
Exam #1 Business Calculus Questions with Verified Answers
- Tentamen (uitwerkingen) • 2 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
What can be used to determine whether a relation satisfies the definition of a function? - ANSWER-Vertical Line Test 
 
What are the four ways a function can be represented? - ANSWER-numerically, algebraically, verbally, graphically 
 
What must be met in order to be considered a function (basic level here) - ANSWER-one output for every input 
 
A table of data is a ____ representation of a function - ANSWER-numerical 
 
A scatterplot is a ____ representation of a function - ANSWER-graphical 
 
...
-
Exam 2 - Math 2413 Calculus 1 Questions with Complete Solutions
- Tentamen (uitwerkingen) • 3 pagina's • 2024
-
Ook in voordeelbundel
-
- $9.49
- + meer info
Constant Rule - ANSWER-d/dx [c] = 0 
 
Constant Multiple Rule - ANSWER-d/dx [cf(x)]=cf'(x) 
 
Sum Rule - ANSWER-d/dx [f(x)+g(x)] = f'(x)+g'(x) 
 
Difference Rule - ANSWER-d/dx [f(x)-g(x)] = f'(x)-g'(x) 
 
Product Rule - ANSWER-d/dx [f(x)*g(x)] = f(x)g'(x) + f'(x)g(x) 
 
Quotient Rule - ANSWER-d/dx [f(x)/g(x)] = [g(x)f'(x) - g'(x)f(x)]/[g(x)²] 
 
Chain Rule - ANSWER-d/dx [f(g(x)] = f'(g(x))*g'(x) 
 
Power Rule - ANSWER-d/dx[xⁿ]=nxⁿ⁻¹ 
 
Definition of the number e - ANSWER-d/dx[...
-
Integral Calculus Exam Questions with Complete Solutions
- Tentamen (uitwerkingen) • 6 pagina's • 2024
-
Ook in voordeelbundel
-
- $10.49
- + meer info
sin²x + cos² x=? - ANSWER-1 
Which Pythagorean formula = 1? 
 
1 + tan² x=? - ANSWER-sec²(x) 
Which Pythagorean formula = sec²(x)? 
 
1 + cot² x=? - ANSWER-csc² x 
Which Pythagorean formula = csc² x 
 
sin(-x)=? - ANSWER--sin x 
-sin(x) = sin(-x) or only -sin(x)? 
 
d/dx (x^n) Rule? - ANSWER-Power Rule 
Reverse the power rule for derivatives. 
 
d/dx (f*g) - ANSWER-fg' + gf' Product Rule 
What is the product rule in reverse? 
 
d/dx (f/g) Rule? - ANSWER-Quotient Rule 
When do you use t...
-
survey of calculus exam 1 Questions and Answers
- Tentamen (uitwerkingen) • 2 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
definition of a finite limit at a real number - ANSWER-and we say that "the limit of f(x) as x approaches c* is L" if we can make the values of f(x) as close to L as we want by taking x close enough to c on either side of c but not equal to c. 
 
definition of finite one-sided limits at a real number (left) - ANSWER-and we say that "the limit of f(x) as x approaches c from the left is L" if we can make the values of f(x) as close to L as we want by taking x close enough to c but less than c....
-
Survey of Calculus I Exam 1 Questions with Verified Answers
- Tentamen (uitwerkingen) • 2 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
Linear Function - ANSWER-F(x)=mx+b 
 
Quadratic Function - ANSWER-F(x)=ax^2+bx+c 
 
Exponential Function - ANSWER-F(x)=ab^x 
 
Logarithmic Function - ANSWER-F(x)=Logbx=y or b^y=x 
 
Finding the slope of a line - ANSWER-y-y^1=m(x-x^1) 
 
Exponential Function in General Form - ANSWER-A(t)=Pb^t 
 
(Pb^t) The constant P represents - ANSWER-y-intercept 
 
(Pb^t) The constant b represents - ANSWER-value of y is multiplied by b for every one unit increase of t 
 
b>1 - ANSWER-exponential growth 
 
b...
-
Topics in Calculus Exam 1 topics Questions and Answers
- Tentamen (uitwerkingen) • 1 pagina's • 2024
-
Ook in voordeelbundel
-
- $7.99
- + meer info
Find the average rate of change of f(x) on [a,b] - ANSWER-find: [f(b)- f(a)]/ (b-a) 
 
Difference Quotient - ANSWER-f(x+h)-f(x)/h, where h does not equal 0. 
 
using difference quotient when f(x) is a radical - ANSWER-multiply top and bottom by conjugate 
 
using difference quotient when f(x) is a fraction - ANSWER-multiply top and bottom by common denominator of top fractions. 
 
Find instantaneous rate of change - ANSWER-use definition of derivative (difference quotient) as lim x-> 0 
 
how...
-
Calculus 1 Final Formulas to know Exam Questions and Answers
- Tentamen (uitwerkingen) • 4 pagina's • 2024
-
Ook in voordeelbundel
-
- $10.49
- + meer info
A function is continuous at x=A when... - ANSWER-1.) f(A) exists 
2.) The limit exists 
 -the LHL and RHL are equal 
3.) f(A)=limit 
 
Limit definition of the derivative - ANSWER-the limit as h approaches zero is 
 
[f(x+h)-f(x)]/h 
 
Fundamental Theorem of Calculus I - ANSWER-Derivatives and integrals are inverses 
 
derivative of sin - ANSWER-cos 
 
derivative of cos - ANSWER--sin 
 
derivative of tan - ANSWER-sec^2 
 
derivative of cot - ANSWER-csc^2 
 
derivative of sec - ANSWER-secxtanx 
 
...
-
Calculus 2 Final Exam Review Questions with Latest Update
- Tentamen (uitwerkingen) • 5 pagina's • 2024
-
Ook in voordeelbundel
-
- $10.49
- + meer info
McLaurin Series for 1/(1-x) - ANSWER-∑xⁿ=1+x+x²+x³+x⁴+... 
R=1 
 
McLaurin Series for e^x - ANSWER-∑xⁿ/n!=1+x/1!+x²/2!+x³/3!+... 
R=infinity 
 
McLaurin Series for sinx - ANSWER-∑(-1)ⁿ(x²ⁿ⁺¹)/(2n+1)!=x-x³/3!+x⁵/5!-x⁷/7!+... 
R=infinity 
 
McLaurin Series for cosx - ANSWER-∑(-1)ⁿ(x²ⁿ)/(2n)!=1-x²/2!+x⁴/4!-x⁶/6!+... 
R=infinity 
 
Conditionally Convergent - ANSWER-A series is ∑ a_n is called conditionally convergent if it is convergent but not absolutely c...