b. X a. y

Q: Given the demand function D(x)=100e^-0.05x  find the average price over the demand interval [40,60].

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line perpendicular...

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle...

Q: solve the differential equation with the given initial condition.

A: We separate the variables and then integrate both sides. C=integrating constant  

Q: Find the limit

A:

Q: Find all solutions to 2cos(θ)=√22cos(θ)=2 on the interval 0≤θ<2π

A:

Q: Please can you give me the exact answer?

A:

Q: Find the following indefinite integral a^x dx

A:

Q: 2. Suppose that a fluid has density p (function of space and time) and velocity v with no sources or...

A: Given

Q: Find the second derivative of the polynomial function y=3x4−2x3+4x2−5x+1.

A:

Q: 8.4.    10

A:

Q: A boy 1.6 metres tall is walking away from a lamp post 10 metres tall. if the boy is walking at the ...

A:

Q: 8.4.  3

A:

Q: Find  limit x 0  1/x^2if it exists.

A: We find the limit numerically    

Q: 5. r(0) = ²i - 3tj +t³k 2 6 (a) r'(t)

A:

Q: evaluate the integral.

A:  

Q: Please can you give me the exact answer?

A:

Q: A central angle in a circle of radius 8 is subtended by an arc of length 10p. Find the angle’s radia...

A: Given, r=8  Arc length= S=10π Angle=θ So in radian mode:  

Q: b)y=x²parabola, find the volume of the object formed by rotating the tangent line drawn from point (...

A:

Q: a) Determine the intervals on which f(x) is increasing, and on which it is decreasing b) Determine a...

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Q: 28. Hypervolume We have learned that "1 dx is the length of the interval [a, b] on the number line (...

A:

Q: Find the amount ? in an account after 5 years if dA/dt=0.08A and A(0)=1000

A:

Q: Solve the separable differential equation for u du e3u + 7t dt Use the following initial condition: ...

A:

Q: Find the horizontal asymptote of y= X 2 /3 + x2

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Q: Find the derivative of the inverse hyperbolic sine function y=arcsinh x.

A: Let the given function  

Q: Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ticket. The records show that...

A:

Q: Find general solutions of the differential equation     y'=(4x+y)^2

A:  

Q: A particle moves along the curve r(t)=⟨arctant,√t+1⟩. Find the speed of the particle at t=3.

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Q: (a) Write |x| = Vr? and use the Chain Rule to show that dx |x| (b) If f(x) = | sin x|, find f'(x) an...

A:

Q: Find the slope of the graph of the function at the given point. Function Point 4 + csc(x) y = 8 - cs...

A: The slope is nothing but the value of y' at the given point.

Q: 10. Curve tangent to a surface Show that the curve 4 (G-) ( - 3 j + cos (t – 2)k r(t) = 2 i + is tan...

A:

Q: Please can you give me the exact answer?

A:

Q: Let f(x) = 4 −(1/3)x3 . Determine the derivative (f -1)'(x) of the inverse function to f.

A:

Q: Determine the intervals on which the graph of y= douwn 2. - 6だ+8x+6x-10 is concave up and concave

A:

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line perp...

A:

Q: find fxx(x,y) and fxy(x,y) derivatives for the following function z=f(x,y)= e^x^2 +y^2

A:  

Q: Consider the curve given by cos(x)+cos(y)+2x+y=2. Determine dy/dx for this curve using implicit diff...

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

A:

Q: A ball is dropped on Mars where the distance traveled is s(t) = 1.9t2 meters int seconds. Compute th...

A: s(t) = 1.9t2 [a, b] = [5, 9] s(a) = s(5) = 1.9 x 52 = 47.50 s(b) = s(9) = 1.9 x 92 = 153.90

Q: The flash point of an engine oil is 363°F. What is the absolute flashpoint temperature in K and R?

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Q: 8.4.   6

A:

Q: 8.4.   7

A: Consider the given integral

Q: Perform the indicated computations. Write the answer in scientific notation. If necessary, round the...

A:

Q: Find the area of the region that lies inside the cardioid r = 1 + cos u and outside the circle r = 1...

A: We first find where they meet   

Q: Not sure how to complete this question

A:

Q: At what points are the functions continuous? y = (2x - 1)1/3

A: For cube root we can have all real numbers under the cube root.   

Q: find the absolute maximum and minimum values of ƒ on the region R. ƒ(x, y) = x2 - y2 - 2x + 4y + 1 R...

A:

Q: A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley...

A:

Q: Use a double integral to find the area of the region. The region enclosed by the curve r = 4 + 3 cos...

A: We have to find the area enclosed below:

Q: Find the limit

A:

Q: how do i find the value of the derivative? pls show steps so i know

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.