What is a rational function that satisfies the following properties

What is a rational function that satisfies the following propertiesA zero at x=3A hole when x=5A vertical asymptote at x=-1A horizontal asymptote at y=3A y-intercept at y=-9*if someone could please... more

03/02/21

Evaluate the integral

Question: https://imgur.com/a/4qQG2Yo

03/02/21

Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + 7/x − 8 /x^2

Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + 7/x − 8 /x^2(a) Find the interval where the function is decreasing. (Enter your answer using interval... more

03/02/21

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 ln(x)

Consider the equation below. (If an answer does not exist, enter DNE.)f(x) = x4 ln(x) (a) Find the interval on which f is increasing. (Enter your answer using interval notation.)Find the interval... more

03/02/21

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2𝜋

Consider the equation below. (If an answer does not exist, enter DNE.)f(x) = 9 cos2(x) − 18 sin(x),      0 ≤ x ≤ 2𝜋(a) Find the inflection points. (x, y) = (smaller x-value) (x, y)... more

03/02/21

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) + 7 cos(x), 0 ≤ x ≤ 2𝜋

Consider the equation below. (If an answer does not exist, enter DNE.)f(x) = 7 sin(x) + 7 cos(x),    0 ≤ x ≤ 2𝜋(a) Find the local minimum and maximum values of f.local minimum value local maximum... more

02/28/21

Evaluate the indefinite integral ∫xsin^2(2x) dx

02/28/21

AP Calc Optimization Question

A man is in a boat 3 miles from the nearest point on the coast. He is to go to a point Q, 3 miles down the coast and 2 mile inland. If he can row at 2 miles per hour and walk at 4 miles per hour,... more

02/27/21

Differentiate dy/dx 9 cos x sin y = 2

I got the fraction form of the answer but the right option was like tan(x)tan(y).....not sure how tan comes how into play here in the end

02/23/21

Find y'' of y = (2x^2+5x)^3 (x^2-1)^4

By choosing appropriate secant lines, estimate the slope of the tangent line at P. (Round your answer to two decimal places.)

The point P(1,0) lies on the curve y=sin((14pi𝜋)/(x)).(a) If Q is the point (x,sin((14𝜋)/(x)), find the slope of the secant line PQ (correct to four decimal places) for the following values of... more

02/20/21

The graph of a piecewise function contains the points(-5,-2),(0,1) and (2,7). A line segment connects(0,1) to (2,7), and another line segment connects(-5,-2) to (0,1).

The graph of a piecewise function contains the points(-5,-2),(0,1) and (2,7). A line segment connects(0,1) to (2,7), and another line segment connects(-5,-2) to (0,1). On graphing grid paper, draw... more

02/19/21

Let R be the region bounded by y=6e^(-0.2x) and y=√x and the lines x=1 and x=4. Find the volume when R is rotated about the x-axis.

Let R be the region bounded by y=6e^(-0.2x) and y=√x and the lines x=1 and x=4. Find the volume when R is rotated about the x-axis.

02/16/21

Differentiate. (1/y^2 -3/y^4)(y+7y^3)

I rewrote it to be (y^-2-3y^-4)(y+21y^2)+y+7y^3(-2y^-3+14yy^-5)Am I supposed to distribute all of that ?

02/16/21

A region is Enclosed by y=x and y=(x^2)/2 and revolved around y=-1. To find the volume of the solid, set up the integral with both the disk/washer method and the cylindrical shells method.

A region is Enclosed by y=x and y=(x^2)/2 and revolved around y=-1. To find the volume of the solid, set up the integral with both the disk/washer method and the cylindrical shells method.2.using... more

A 0.6 ml dose of a drug is injected into a patient steadily for half a second.

At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.2% per second. Using formulas, express Q as a continuous function of time,... more

02/13/21

CALCULUS BUSINESS

Using the four-step process that we discussed in this course, find the equation of the line tangent to f(x) = −x^2 + 2x + 15 at the point (−2,7).

Mixture problem help!! I'll really appreciate it if you can explain i cant understand this problem thanks!!

A tank contains a mixture of acid and water. If 30 liters of acid are added the mixture will be 70% acid. If 30 liters of water are added the mixture will be 50% acid. Find the percentage of acid... more

02/12/21

If a ≠ 0 , then what does a^9/a^5 equal?

the title says it, i dont understand what the question even meansIf a≠0, then what does a9/a5 equal?

02/12/21

Differentiate g(t)=t^8cos(t)

I got .......t^8(-sint)+cost(8t^7)then.......8t^7cost-t^8sintlastly gcf t^7(8cost+tsint) why isnt that right????

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