Find the derivative !!WITHOUT USING FRACTIONS AND NEGATIVE EXPONENTS!!

f(x)= 6√x - 10/x^7 USE sqrt(x) for √x

26d

Calculus question

For t≥0, a particle moved along the x-axis. The velocity of the particle at time t is given by …v(t)=1+2cos((t2)/2)… the particle is at position x=2 at time t=4.a. At time t=4, is the particle... more

05/12/21

(a) express the work as an integral (b) evaluate the integral

An aquarium 3m long, 1m wide, and 1m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8m/s^2 for g and the fact that the density of the water is... more

05/09/21

Calculas h/w help

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing... more

05/05/21

Determine if the given function is continuous at x=a and if the function is differentiable at x=a

Determine if the given function is continuous at x=a and if the function is differentiable at x=a

05/04/21

Find the inverse of the function on the given domain

f(x)=(x-4)^2,[4,infinity)

A cable hangs in a curve that is symmetrical with respect to the y-axis.

The tension, T (in Newtons) of the cable at a point x metres from the y-axis is given by 𝑇 = 200 (𝑒^x/10 + 𝑒^−𝑥/10). Find the maximum and minimum tension if the cable extends from 𝑥 = 10 to 𝑥 = −10... more

04/29/21

Linear Algebra (Vector)

Determine whether or not the set of vectors identified is a subspace of:#1.     R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.

04/21/21

Need help with this proof

Let {~v1, · · · ~vm} ⊂ Rn be a linearly independent set. Let L ∈ Rm×n . Prove that, if null(L) = {~0}, then {L~v1, · · · L~vm} ⊂ Rm is a linearly independent set.

04/20/21

The table about give values of a twice differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by g(x)= f (x2-x).

Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(X) is a real numberx. -3 0 3 6 f(x) -5 4 1 ... more

04/19/21

Tests for Convergence (Not Test Questions)

1.State the convergence/divergence for the series . Converges absolutely My choice Converges conditionally Diverges Cannot be determined 2.Which of the following series converges... more

If you roll a die 100 times, what is the approximate probability that you will roll between 11 and 14 ones, inclusive? (Round your answer to two decimal places.)

You may need to use the appropriate appendix table or technology to answer this question.If you roll a die 100 times, what is the approximate probability that you will roll... more

04/17/21

Question from the topic "Linear Algebra"

Consider the vector space V = R+ × R+ × R+, where R+ is the set of all positive real numbers withaddition and scalar multiplication defined by (x1, y1, z1) ⊕ (x2, y2, z2) =... more

Minimum Distance for Calculus

A wandering albatross is sitting at the origin (0,0,0). What is the minimum distance between the albatross and a clothesline with equation r(vector)= [1,4,1] + s [-1,2,3] , s is every real number... more

04/14/21

Which expression is equivalent to sin^2β/1+cosβ for all values of β for which sin^2β/1+cosβ is defined?

select the correct answer below:cot^2βcosβsecβtanβ1−cosβ

Which of the following statements are true?

Which of the following statements are true? If the power series  converges for x = -2, then it also converges for x = 2. If the power series  converges for x = -3, then it also converges for x =... more

04/09/21

cos (x+y) cos(x-y)= cos^(2) x - sin^(2) y

Verify the following identities. Can you show a procedure please

Find the Maclaurin polynomial of degree 3 for f(x) = xcos(x)

Find the Maclaurin polynomial of degree 3 for f(x) = xcos(x) A x - x3 B C D

Given f(x) = 3x - 2 for all x in R Prove that f is one-to-one.

Given f(x) = 3x - 2 for all x RProve that f is one-to-one.  

Determining possible values of determinant A

Let A be a 3 x 3 matrix and let 1/8A^3 - 1/2A = 0. What are all possible values of detA?A) -8, 2, 0B) -8, 8, 0C) -4, 2D) 4, 2E) 2, 0

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