Calculus 1

Showing 151-164 of 164 answers

Which of the following equations is the line perpendicular to 2x – 3y = 9?

3x + 2y =10 Correct

Which of the following equations is the line perpendicular to 4y – 7x = 5?

4x + 7y – 18 = 0 Correct

Which of the following figures represents the graph of a function?

Figure 2 Correct

Which of the following is the contrapositive for the statement: If your car is properly tuned, it will get at least 24 miles per gallon.

If your car will not get at least 24 miles per gallon, then it is not properly tuned. Correct

Which of the following will make the statement x2+3 > 1 true?

x is greater than or equal to -1 Correct

Which values of x will make the statement x+5=3 or x2=9 true?

-2 or (3 and -3) Correct

Write the contrapositive of the statement: I feel good when I jog. Answer: When I don't jog, I feel

Bad Correct

Write the contrapositive of the statement: If I exercise and eat right, then I will be healthy. Don't use contractions in your answer

If I am not healthy, then I do not exercise and eat right. Correct

Write the contrapositive of the statement: If x>3, then x2>9. Use words or phrase for your answer.

If x2 <= 9, then x <= 3 Correct

Write the contrapositive of the statement: If x2 + x - 6 = 0 then x=2 or x=-3.

Answer: If x = - 2 and x = 3 then x2 + x - 6 is not equal to 0 Correct

Write the equation of the line that represents the linear approximation to the function below at the given point a. f(x)=e2;a=0;f(0.05)f(x)=e2;a=0;f(0.05)

f(a) = 7.39 Correct

Write the negation for the statement: All quadratic equations have solutions.

not all quadratic equations all solutions. Correct

Write the negation of the statement: 8 is a prime number. 8 is

not a prime number Correct

You are standing at the edge of a slow-moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk at 3 mph. You must first swim across the river to any point on the opposite bank. From there walk to the campground, which is one mile from the point directly across the river from where you start your swim. What route will take the least amount of time?

x ≈ 0.89 mi. Shortest possible time: T ≈ 0.71 hr. Correct