6,196 Answered Questions for the topic calculus

Cartesian equation

Vector (4,5,-1) is perpendicular to the plane that contains point A(2,9,6). Find the Cartesian equation of this plane.

18h

A LEVEL MATHEMATICS

An infinite geometric series has common ratio r. the sum to infinity of the series is 7 times the first term of the series. Given that the first term of the series is 15, find the least value of n... more

I need help with finding values please!

How can I find the value ofif  and ?

Please help me with evaluation

How do you evaluate ?

Please help me with evaluation

Evaluate Options: 10.5 12.5 23 25

Evaluate given equation

Use your calculator to evaluate  . Give your answer to the nearest integer. (4 points)

Write the Riemann sum to find the area under the graph of the function f(x) = x^4 from x = 5 to x = 7.

Question options: 1) 2)  3)  4) 

Write the integral that has the same value as the limit

The Riemann sum,  , is equivalent to  with  .Write the integral that produces the same value as  . Question options: 1) 2)  3)  4) 

If the area under the curve of f(x) = 25 - x^2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

Question options: 1) Underestimate 2)  Overestimate 3)  The area will be exact 4)  The area cannot be estimated with just four rectangles

List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f(x) between x = 0 and x = 10.

Question options: 1) 2, 4, 6, 8, 10 2)  1, 3, 5, 7, 9 3)  0, 2, 4, 6, 8 4)  1, 2, 3, 4, 5

Which of the following sums does not equal the others?

Question options: 1) 2)  3)  4) 

The acceleration of an object moving in a strange way has been modelled as a = e^x x.

The acceleration of an object moving in a strange way has been modelled as a = e^x x. A) use integration by parts to find an equation to model the velocity v if v = ∫ e^x x dx (the x is the letter... more

PMI Proof Pre-Cal II (Help!)

Using PMI, prove 1 + 1 +... + 1 = n-1 For n > 2 1*2 2*3 n(n-1) n

Is the function True or False

Which of the following is true for  ?Question options: 1) There is a removable discontinuity at x = 3. 2)  There is a non-removable discontinuity at x = 3. 3)  The function is continuous for... more

find a,b such that the limit as x approaches 2 (x2+ax+b)/(x3-2x2+x-2 ) = 6

Note: (x2+ax+b)/(x3-2x2+x-2 ) = (x2+ax+b)/[x^2(x-2)+1(x-2)] factor by grouping = (x2+ax+b)/[(x^2+1)(x-2)] as it stands, there's a discontinuity at x=2 since if you were to plug in x=2, the... more

List discontinuities for function

List the discontinuities for the function f(x) = cot(  ). Question options: 1) n(  ), where n is an integer 2)  n(  ), where n is an integer 3)  n(  ), where n is an integer 4)  There are... more

Is the function continuous

Is the function  continuous? Question options: 1) Yes 2)  No

Find where equation is discontinuous

Where is  discontinuous? Question options: 1) f(x) is continuous everywhere 2)  1 3)  1, 4 4)  4

Find value where f(x) is continuous everywhere

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. Question options: 1) 1.88 2)  9.00 3)  3.76 4)  None of these

Find limit using direct substitution

Find the limit of the function by using direct substitution.Question options: 1) Does not exist 2)  −6 3)  6 4)  0

Find lim x --> 25

What is ?Question options: 1) 0 2)  -10 3)  1 4)  Does not exist

Find lim x --> -2

What is ? Question options: 1) −∞ 2)  ∞ 3)  0 4)  −2
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