05/03/23

y=x^4-2x^2+1 and y=2-2x^2 for 0 ≤ x ≤ 1, what does the definite integral ∫ 1↑ 0↓ (π(2-2x^2)) - (x^4-2x^2+1^2)dx represent?
y=x^4-2x^2+1 and y=2-2x^2 for 0 ≤ x ≤ 1, what does the definite integral ∫ 1↑ 0↓ (π(2-2x^2)) - (x^4-2x^2+1^2)dx represent?
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05/03/23

Sketch the graph of a function that g'(x)>0 for x<-1 and g'(x)<0 for x>-1 and g(x) is NOT differentiable at x=-1
Sketch the graph of a function that g'(x)>0 for x<-1 and g'(x)<0 for x>-1 and g(x) is NOT differentiable at x=-1
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05/03/23

A particle is moving with acceleration a(t)=2-3t we know that t=0: v(0)=-1 and s(0)=1 determine s(2)
A particle is moving with acceleration a(t)=2-3t we know that t=0: v(0)=-1 and s(0)=1 determine s(2)
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05/03/23

Compute the area of the region bounded by the curves y=x^2, y=2, y=0
Compute the area of the region bounded by the curves y=x^2, y=2, y=0
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05/03/23

draw graph discontinuous x=2 and lim x → 2 f(x)=1
draw graph discontinuous x=2 and lim x → 2 f(x)=1
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05/03/23

Factor: 5x^2-19x=-18

There should be 2 different Xs. Please explain the steps
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05/03/23

Distance, rate, and time
Alyssa left downtown Houston, and three hours later, Joan left going 54 mph faster to catch up. After another two hours, Joan caught up. Find Alyssa's average speed.
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05/03/23

A puddle is in the form of a circle
A puddle is in the form of a circle. If the puddle is evaporating in such a way that the are of the puddle is decreasing at a rate of 3 ft^2/sec at what rate is the radius decreasing when the... more
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04/24/23

Suppose the z varies jointly with x and y
Find the constant of proportionality k if z=345.8 when y=19 and x=7k=?Using k from above, write the variation equation in terms of x and yz=?Using the k from above find z given that y=40 and x=24z=?
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04/21/23

Practice: The Parabola
A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the... more
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04/21/23

Practice: The Parabola
Find the equation for the parabola that has its vertex at the origin and has directrix at x=-1/24
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04/21/23

Please help me solve this.

Find the particular antiderivative that satisfies the following conditions:p'(x) = -40/x^2 ; p(5)=4p(x)= ?
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04/19/23

what is the area of
what is the area of y=5x/1+x^2, y=5x^2/1+x^3
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04/11/23

Maclaurin Series Question
Question: Find the Maclaurin series representation for f(x) = (1/(3-x))Understanding:I understand what to do until find the kth derivative, but am struggling to find a generalized formula. How do... more
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04/10/23

A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 h in the new direction.

If she maintains a constant speed of 605 mi/h, how far is she from her starting position?
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04/10/23

Alternating Series and Absolute Convergence
First find the partial fraction decomposition of 3/k(k+6) = 0.5/k - 0.5/k+6Then find the limit of the partial sums = .......Enter your answer for the sum as a reduced fraction.Hint: The... more
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04/10/23

Series question
A certain antibiotic is administered orally to a patient. As the liver filters the drug out of the patient’s bloodstream, only 20% remains after eight hours. (i) If the patient takes a 100mg dose... more
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04/03/23

Fraction - Problem Solving
there are 50 black sheep and 42 white sheep in a paddock. How many black sheep must be removed so that 1/3 of the remaining sheep are black
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03/29/23

In the triangle △ABC, introduce the notations a=|BC|, b=|CA|, c=|AB|, as well as ∠A=α , ∠B=β and ∠C=γ. Find c , given that angle ∠C is acute and a=6, b=7 and sin γ=1/9.
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03/29/23

The triangle △ABC is right-angled with right angle at corner C and angle α at corner A.
The triangle △ABC is right-angled with right angle at corner C and angle α at corner A.Calculate the area of the triangle, given that c=|AB|=7, and that tan α=7/8.
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03/27/23

P(x) = x^4 + x^3 + x^2 + x + 11
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as... more
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03/27/23

P(x) = 9x^3 − 7x^2 + 8x − 8
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as... more
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03/26/23

I'm not sure about this. How do I PROVE the midline theorem? What is the diagonal supposed to indicate? A clear explanation could really help. Thank you!
536.If M and N are the midpoints of the non-parallel sides of a trapezoid, it makes sense to call the segment MN the mid- line of the trapezoid. Why? (It actually should be called the midsegment,... more
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03/24/23

determine the function 𝜀 that occurs in the theorem below.
If f is differentiable at c then Δy = f(c + Δx) − f(c) satisfies Δy = (f '(c) + 𝜀)Δx where the function 𝜀 has the property that lim Δx→0 𝜀(Δx) = 0. f(x) = x2 − x + 6 a) 𝜀 = Δx(2x − 1 + Δx)b) ... more
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03/23/23

What should the dimensions of the poster be so that the least amount of poster is used?
A rectangular poster is to contain 288 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What... more
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