11/12/24

Write an equation where the y intercept=(0,1), and the x intercept is (2,0). And the vertical asymptotes are x=-1 and x=4
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09/23/24

Stat/probability question
Suppose there is an intersection in a street where crossing diagonally is allowed. The four corners form a square and there is a person at each of the four corners. Each person crosses randomly in... more
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08/15/24

Find the point on the line which is closest to the point .
Find the point on the line -4𝑥+6𝑦-4=0 which is closest to the point (4,5).Please give the steps in a clear order.
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04/21/24

use the shell method to find the volume of region enclosed by y=x, y=-x+1, revolved about the line x=2
Sketch and find the volume, using the shell method, of the region enclosed by y=x, y=-x+1, revolved about the line x=2.
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04/14/24

The rate (in liters per minute)
t min 0 0.5 1 1.5 2 2.5 3 l/min 40 38 36 34 32 30 28 Answer: ? liters.The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of... more
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11/27/23

Determine if there is a value, c, -8<c<12 such that h’(c)=-1
Let h be a twice differentiable function such that h(-8)=12 and h(12=-8. Let f be a function defined such that f(x)=h(h(x)).
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11/26/23

Find the point on the line -5x+5y-1=0 which is closest to the point (2,-4) .
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11/17/23

I'm not sure how to do this problem

A women at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time.She can walk... more
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10/24/23

One leg of a right triangle is 6 millimeters longer than the shorter leg and the hypotenuse is 12 millimeters longer than the shorter leg. Find the lengths of the sides of the triangle.
plz oh plz help
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10/24/23

A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 30 grams.

1.) Write an exponential equation f(t) representing this situation. (Let t be the amount of radioactive substance in grams and t be the time in minutes.)2.) To the nearest minute, what is the... more
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10/19/23

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?
A) Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)=e^-3x , [0,2] Choose the correct answer: Yes, it does not matter if f is continuous or... more
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10/19/23

How do I create a rational inequality with solutions (-2,-1) and (1, ∞)?
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10/17/23

Is there a time t , for 1<t<8 , at which the rate of change of the number of people at the venue changes from negative to positive? Give a reason for your answer.
For time 0 ≤ t ≤ 8, people arrive at a venue for an outdoor concert at a rate modeled by the function A defined by A(t) = 0.3sin(1.9t) + 0.3cos(0.6t) + 1.3. For time 0 ≤ t ≤ 1, no one leaves the... more
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10/15/23

I need help asap, genuinely don’t understand.
An ellipse or hyperbola uses the general form Ax2+Cy2+Dx+Ey+F=0. Solving for 5 unknowns (A, B, C, D, E, F) requires 5 equations, needs 5 points given. But if one of the coefficients is divided out... more
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10/15/23

A particle moves along the curve y = ln(x/2) where x > 0
A particle moves along the curve y = ln(x/2) where x > 0 As the particle passes through the point (2e, 1) its x-coordinate increases at a rate of sqrt(4e ^ 2 + 1) * cm / s How fast is the... more
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10/10/23

We use x1+x2+x3/3, y1+y2+y3/3 to find the centroid of a triangle. Can I do the same to find circumcentre?
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10/02/23

Calculus Homework
Find (f^-1)'(a). f(x)=5x^3+4x^2+6x+8, a=8(f^-1)'(a)=
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10/02/23

Properties of Functions & The Average Rate of Change
Let h(x)=x2-4xA) Find the average rate of change from 7 to 8B) Find an equation of the secant line containing (7, h(7)) and (8, h(8))
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10/02/23

Use the Rational Zero Theorem to find all real zeros
8x3 − 15x2 + 22x + 3 = 0
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10/02/23

find all complex solutions (real and non-real).
9x3 − 17x2 + 88x + 10 = 0
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09/18/23

Precalculus question

What makes a number algebraic? What did Charles Hermite discover? Is the number pi algebraic or transcendental, and why? Where did the term 'transcendental number' come from?
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09/13/23

I feel self-conscious speaking in front of a crowd?Is "speaking in front of a crowd" participial or gerund phrase in this sentence?
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09/07/23

In Exercises 7–12, one of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval. cos x =-5/13 , x∊ [pi/2 , pi]
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09/05/23

population question calculus
A population of bacteria follows the continuous exponential growth model  P(t)=P0ekt​, where t is in days. The relative​ (daily) growth rate is 4​%. The current population is 909.​A) Find the... more
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09/04/23

Unions and Intrsections
Solve the compound inequality and give your answer in interval notation.−2x+3 > −3x+10 AND 3(−5x+2)+3 ≥ −6x−63
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