07/01/22

Limits at infinity

what is the limit at infinity and negative infinity of this radical:sqrt(t^2-4)This is possibly the toughest problem I've encountered when attempting to find limits at infinity because I usually... more
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07/01/22

How to find the X-intercept of x^3-3x+1
How do I go about finding the x-intercept of the function:h(x)=x^3-3x+1
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07/01/22

Sequence Homework Help
If a sequence c1,c2,c3, ... has limit K then the sequence ec1,ec2,ec3, ... has limit eK . Use this fact together with l'Hopital's rule to compute the limit of the sequence given by:bn = (1 + 4.3/n)n
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07/01/22

Let f(x) = 0 if x is any rational number and f(x) = 1 if x is any irrational number. Show that f is not integrable on [0, 1].
Someone please help me understand this Let f(x) = 0 if x is any rational number and f(x) = 1 if x is any irrational number. Show that f is not integrable on [0, 1].
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06/23/22

Find the car's average velocity (in m/sec) between t=3 and t=6 .

A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t)=t1/2+1Find the car's average velocity (in m/sec) between t=3 and t=6 .
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06/22/22

Domain of Vector-Value Funtion
Find the domain of the vector-value function →r(t)=⟨−2t^4, 2t^5, 1/(t+1)^7⟩
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06/22/22

If I'm given a right triangle whose two short sides have lengths, 5 and 12, in the triangle, what would the smallest angle be?

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06/21/22

Prove whether the lines are parallel, perpendicular, or neither. Show your work and explain your reasoning. x + y = 1 and 4x + 4y = 1
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06/19/22

obtain the Maclaurin series for the given function
f(x) = xe^(4x)
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06/16/22

Uniform Convergence
How do we show that sigma(n=1 to infinity){ [1/[ np+ (nq*x2) )] } is uniformly convergent , where x not equal to 0 & when p>1Types of tests that can be used: Weierstrass M-test, Cauchy... more
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06/14/22

Pointwise Convergence & Uniform Convergence
How do we prove that fn(x) =[1+(x/n)]n on [0,2] is uniformly convergent or not.
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06/09/22

Write an equation for a line perpendicular to y = − 4 x − 2 and passing through the point (-8,1)
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06/05/22

Find all real numbers x which satisfy the equation. 10x6−10x2=0
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06/05/22

Factor P(x)=x3+6x2+11x+12 into linear and irreducible quadratic factors with real coefficients. Let P(x)=(x+a)(x2+bx+c). Then a=? b=? c=?

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06/05/22

Find the complex potential function for V
Find the complex potential Φ(z) for v.Let v(x, y) = ⌈ 3x2− 3y2⌉ ⌊ −6xy ⌋The answer is Φ(z) = z3I need help to solve it i am not sure of how they got the answer
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06/03/22

If the expression f^2 +g^4 -2f+1 is rewritten in the form a^2 +(g^2)^2 What most be the value of a
If the expression f^2 +g^4 -2f+1 is rewritten in the form a^2 +(g^2)^2 What most be the value of a
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05/31/22

Rate of change of volume, in cubic centimeters per minute, =
The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the volume changing, in cubic centimeters per minute, when the radius is 8 centimeters? Note: The... more
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05/31/22

Cauchy Schwarz Strengthening with Scalar Multiples
Cauchy-Schwarz inequality actually can be strengthened to include when is equality true. Try to show the following: Let vector x and vector y be two vectors in R^n, with y ≠ 0​. Then ∣ x ⋅ y ∣ = ∥... more
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05/30/22

Can you help me to solve this.
Let S= {(x,y): x,y ∈ Z and a-b=2n,n ∈ Z } be an equivalence relation in Z.a. Find the set of all equivalence classes.b. Show that the equivalence classes form a partition of Z.
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05/25/22

Volume of a cylinder
What is the height of a cylinder whose volume is 18*(pi) and whose radius is 3 ?
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05/23/22

A man pulling an empty wagon causes it to accelerate at 1.4 m/s^2.
A man pulling an empty wagon causes it to accelerate at 1.4 m/s^2.What will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the... more
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05/23/22

Help on Precalculus problem
cos4xcosx - sin4xsinx = 0 in the interval [0,2pi]Thank you!!!
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05/19/22

Fi‎nd the flu‎x a‎cross the po‎sitively or‎iented su‎rface
Fi‎nd the flu‎x of ->F (x, y, z) =〈4x, 3z + x2, y2/2〉a‎cross the po‎sitively or‎iented su‎rface S giv‎en by->R(u, v) = 〈2u, 4v, −u2〉, 1 ≤ u2 + v2 ≤ 4,
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05/16/22

What is the minimum possible perimeter for a rectangle whose area is 100 square inches?
How to solve the question in the title?
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05/14/22

Calc 1 Related Rates
Gravel is being dumped from a conveyor belt at a rate of 50 feet cubed per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast... more
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