10/28/22

Find the distance between the pair of parallel lines with the given equations. y=−5x y=−5x+26
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10/28/22

Write a polynomial function with degree 3 with the given zeros x=1, x=3i
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10/28/22

Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).
Let f(x)={3ax+b, if x>/=0e^(1/x)+x+3, if x<0(a) Find the values of a and b such that f(x) is differentiable everywhere and compute f′(x).(b) Is the function f ′ (x) differentiable everywhere?... more
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10/27/22

Find the coefficient a of the given term in the expansion of the binomial.
Find the coefficient of the given term in the expansion of the binomial.Binomial: (2x +3)14Term: x8
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10/27/22

Describe the concavity. (Select all that apply.) f(x) = x + 5 cos x, [0, 2𝜋]
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10/27/22

How can you put this into an expresion?
8 more than quotient of 12 and 6
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10/27/22

Evaluating Functions Versus Evaluating Limits of Functions
f(x)= [x-1 when x<0, 1 when x=0, x2-1 when x≥0]For this function, show that f(0) ≠ lim f(x)limx→0
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10/26/22

ABC is a triangle. Points D and E lie on sides AC and BC, respectively.Given angle BAC=30 degrees, angle ACB=15 degrees, AB=BD and DE=EC, what is AD:CD?
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10/26/22

I need help with this
On January 14, the Jones family received 27 pieces of mail, consisting of magazines, bills, letters, and ads. If they received three more bills than letters, five more ads than bills, and the same... more
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10/26/22

Find an equation of the line passing through the pair of points. Write the equation in the form Ax + By=C? (4,7) & (3,4)
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C.(4,7) & (3,4)
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10/23/22

Find dy/dx if y = (ln(5x))^sin(3x)
I think they're looking for logarithmic differentiation, but I keep getting this wrong.
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10/23/22

The curve below is called a serpentine. Find an equation of the tangent line to this curve at the point (2, 0.4).
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10/23/22

Find x and y intercepts, values of x where f(x) is more / less than zero
Let f(x)=(x−6)^2(x+5)^3. Find the y-intercept(s), the x-intercept(s), the values of x where f(x)>0, and the values of x where f(x)<0. Do not sketch the graph.1. Find the y-intercept(s). List... more
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10/23/22

Compute the volume of a ball with radius R using the shell method

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10/22/22

What is the slope of a line perpendicular to the line whose equation is 3x−y=6. Fully simplify your answer.
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10/22/22

2 times a positive number is 5 less than triple its reciprocal.

Translate these words into an algebraic expression.
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10/21/22

Solutions Based on Graph 2sinx=2?
What are a few solutions for the equation 2sinx=2 based on its graph?Are there more solutions than the ones on the graph? If so, why and what are some?
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10/21/22

Plot the points in the grid below, then sketch a line that best fits the data.
The following is data for the first and second Quiz scores for 8 students in a class.(First quiz on left, second quiz on right) First... more
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10/21/22

What is the answer?
Quadrilateral JKLM has vertices J(2, 4), K(6, -2), L(-6, -4), and M(-4, 4). Quadrilateral JKLM is reflected over the y-axis, rotated 180° counterclockwise about the origin, and then translated down... more
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10/21/22

Let R be the region in the lower half of the circle of radius 2 centered at ( x , y ) = ( 2 , 4 ) . The volume of the solid obtained by rotating R about the y -axis is given by
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10/20/22

Solve: (sqrt 5)^x +1=25^x
If you could please give detail on how to slove. I am having trouble learning this type of problem. Thank you!
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10/20/22

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to
A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according toA(t)=182 / 1 +13e^-0.5twhere A is the number... more
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10/20/22

Evaluate the integral by parts

no upper or lower bounds 3x2cos(mx)dx
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10/19/22

Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond for the given total investment and annual return.

You invest in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are 4.5% on AAA bonds, 5% on A bonds, and 9% on B bonds. You invest twice as much in B bonds as in A bonds.... more
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10/19/22

Find the x-coordinate(s) of the inflection point(s) of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = 11x^2+ln x (x > 0).
Also Determine the intervals the function is concave up or down. (Enter answers using interval notation. Enter EMPTY or ∅ for the empty set.)
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