1. y = x³ – 15 2. y = (x³)/15 >

Q: sketch the shifted exponential curves

A: The given curves are y=2x-1 and y=2-x-1. The graph of y=2-x-1 is the reflection of y=2x-1 across the…

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: A point is moving on the graph of y³ = x². When the point is at (-512, 64), its y coordinate is…

A: Given, A point is moving on the graph of  y3 = x2. When the point is at -512, 64, its y coordinate…

Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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Q: 5. Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x²y – x…

A: Proceed as shown below...

Q: sketch the shifted exponential curves y = 3x + 2 and y = 3-x + 2

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Q: Find the formula for a parabola with its vertex at (9,4) and with a second derivative of -3. f(x)=

A: let's equation of parabola is given by y=ax2+bx+c                                              ..1…

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

A:

Q: A plant grows quickly at first , remains at a constant height during a dry spell , then grows at a…

A: This question is related to graph and functions, We will solve it using given information.

Q: If $4000 is invested at 7.2% compounded​ continuously, graph the amount in the account as a function…

A: If $4000 is invested at 7.2% compounded​ continuously, graph the amount in the account as a function…

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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Q: A 200 g sample of radioactive polonium-210 has a half-life of 138 days. This means that every 138…

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Q: Why is the equation nonhomogeneous sometimes?

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Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

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Q: 10. Find the slope-intercept form of the equation of the line tangent to the graph of y arctan(9x)…

A: Given y = arc tan9xand x=39here we find the slope - intercept form of the equation of the line…

Q: 1.. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

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Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

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Q: A small newspaper company is downsizing and has lost employees at a steady rate. Twelve months ago…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: There are two lines passing through the point (5,-1) that are tangent to the parabola y = -x^2+4x.…

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Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: The slope of the tangent line to the parabola y 2x2 + 2x + 4 at the point (0, 4) = The equation of…

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Q: Find the equation of the curve that passes through the point (8,2) if its slope is given by…

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Q: Find the slope of the tangent line to the parabola y = x2 at the point (2, 4) by analyzing the…

A: We have to find the slope of tangent line to the given parabola y=x2 at the point 2, 4 by analyzing…

Q: write down the solution parameters of this graph. what is the: -scale factor -starting x value…

A: Given graph: There is no Linear 2 and Exponential 2 graph. To find: Scale factor Starting x-value…

Q: The slope of the tangent line to the parabola y = 3r2 + 6x + 2 at the point ( – 2, 2) is: The…

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Q: If $4000 is invested at 7.3% compounded​ continuously, graph the amount in the account as a function…

A: Given $4000 is invested at 7.3% compounded​ continuously. To graph the amount in the account as a…

Q: From the early 1980's through 2012，the number of adults enrolled in Bachelor's Degree programs has…

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Q: 6. Find an equation in the form y = ax³ + bx² + cx + d__whose graph has an x-intercept at x = -1, a…

A: Given: x-intercept at  y = 2 y-intercept at x = -1 slope at (-2,-2) is 5. (-2,-2) lies on the curve…

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: 3. Ununoctium decays naturally at the rate proportional to the original quantity. If there are 20…

A:

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

A:

Q: Find the equation of the line tangent to the curve y =8/x2+4 at the point (2, 1).

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: At (8,4) the value of C will be: 4=5(8)22-4(8)+C4=160-32+CC=-124 So the equation will be…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: Under ideal circumstances, a certain type of bacteria can double every 10 minutes. If a sample of 17…

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Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

A: Solution:-We have to find an equation of the curve that passes through  the point (8,2) and having…

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

Q: point is moving on the graph of 16x^2+9y^2=160. when the point is at 1,4 its x coordinate is…

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Q: The Climatologist that is working in the cave is trying to determine the age and growth rate of…

A: Given: Age, x Length in Micrometers, y 76 7906 87 9043 97 10091 104 10808 106 11024…

Q: Suppose we create a model of the height of a shrub (Y) based on the amount of bacteria in the soil…

A: Let Y: Height of a shrub X1: Amount of bacteria in the soil X2=1 ; If the plant is in full sun0 ; If…