04/04/20

Calculus rate of change
A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 28 feet per second is 25 feet from third base. At what rate is... more
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03/30/20

Which of the following sets are subspaces of r3
Can somebody please help me with this question, I've tried using these steps 1) {(0,0,0)} 2) Line through the origin. 3) Plane through the origin. but I must have done something wrong. thank you... more
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03/27/20

Differentiable function problem
A differentiable function f(x) has derivative at x = 3 equal to 7. Approximate the change in the function that occurs as x changes from x = 3 to x = 3.01
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03/23/20

Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age?
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03/22/20

Compute the determinant of the matrix that's obtained from A by applying the indicated row operation:
Suppose A ∈ M3 is a matrix with det(A) = -2The following row operations:a) R1 - 7R2b) 3R2c) R3 ⇄ R1
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03/22/20

Find a real number x where the matrix has a rank equal to 1.
The matrix is: [ 2 2 0 ] [ 1 1 0 ] [ -1 x 0 ]
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03/21/20

Calculus Question Help

Find the absolute maximum and absolute minimum values of f on the given interval.f(x) = x3 − 6x2 + 9x + 7,    [−1, 8]
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03/17/20

Can we prove that this equation is positive or negative definite by factorizating it ?
p(x,y,z) = 3x2 + y2 +2z2 - 2xy +2xz - 2yz
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03/15/20

If A+B matrix and A and B are invertible then prove :

(A-1 + B-1 )-1 = A(A+B)-1 B =B(A+B)-1 A
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03/15/20

The probability that an event will not happen is P(E)=0.68. Find the probability that the event will happen. (Simplify your answer).
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03/13/20

help with stats hw
According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24flights are randomly selected and the number of​ on-time flights is recorded.​(a) Explain why this is a... more
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03/13/20

pre-calc question
If cos θ = 24/25, and sin θ > 0, find sec θa. 7/24b. 25/24c. 24/7d. 7/25
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03/13/20

Calculus Question
If cos θ = 3/5, and sin θ > 0, find sin θa. 4/5b. -4/5c. 5/3d. -5/3
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03/12/20

Prove that the set {v + w, v + x, w − x} is always linearly dependent

Let v, w, x ∈ Rn be vectors. Prove that the set {v + w, v + x, w − x} is always linearly dependent (even if {v, w, x} is linearly independent).
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03/12/20

If the set {v, w, x} is linearly independent, so is {v+w, v+x, w+x}
Let v, w, x ∈ Rn be vectors. Prove that if the set of vectors {v, w, x} is linearly independent, then so is the set {v + w, v + x, w + x}.
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03/12/20

What is the value of t that would result in span((0, 1, −1),(1, 2, 1),(t, −1, 4))
Determine which values of t ∈ R result in span((0, 1, −1),(1, 2, 1),(t, −1, 4)) being(i) a line(ii) a planeor (iii) all of R3
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03/12/20

Determine which of the following vector sets are and aren't in subspaces
A) The graph of the function y = 4x - 2 in R2B) The graph of the function y = cos(x) - 1 in R2C) The set of solutions (x, y, z) in the equation 3x - 4y + 2z = 0D) The set {(x, y) ∈ R2 : x ≥ 0 and y... more
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03/11/20

T, thus changes as dT/dt = ebt − kT. Solve the differential equation using this technique. (Let T(0) = T0.)
mRNA is an intermediate molecule that arises in the decoding of DNA. mRNA is produced by a process called transcription and it eventually decays. Suppose that the rate of transcription is changing... more
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03/11/20

Calculating rates with derivatives

A light shines toward the ground from the top of a building wall that is 40 ft high. A kid in a tree house that is 25ft to the right of the building drops an apple from the same height (40 ft). How... more
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03/11/20

At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2.
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03/10/20

Finding an indefinite integral
∫ (x+5)/√(9-(x-3)^2) dxI know I need to split the numerator into (x-3) +8, but after that I get stuck.
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03/09/20

Evaluate the integrals
1) ∫(4x^2-12x+9)^(5/2) dx2) ∫(csc^2 √x)/(√x) dx
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03/09/20

Evaluate the integral
Evaluate  
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03/09/20

Using n = 4 equal-width rectangles, approximate the integral
Using n = 4 equal-width rectangles, approximate  . Use the left end-point of each sub-interval to determine the height of each rectangle.
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03/07/20

How do I solve this Fundamental Theorem of Calculus problem?
Consider the function f(x)=((x2−1)/xand define the function F(x)=∫from1tox f(t)dtwith domain (0,∞)a) What are critical points of F?b) Find the intervals of increasing and decreasing for F.c) Find... more
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