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Q: Iff(c) does not exist, can f(x) have an extremum at x-c? Justify your answer taking f(r) = 2| and c=...

A: To Determine: If f'(c) does not exist ,can f(xx) has an extremum at x=c?justify your answer taking...

Q: Jay is mixing 30 ounces of a 5% glucose solution with a 9% glucose solution. This mixture produces ...

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Q: Calculate the derivative indicated. d*y dx4 Ix=6+ Y = 9x-3/4

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Q: Find the inverse of f(x) = x3 + 1.

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Q: Set up the triple integrals for finding the mass and the center of mass of the solid of density boun...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find a formula for the nth term of the sequence:

A: We have to find the formula for nth term of the sequence: 51,82,116,1424,17120...... Here we have to...

Q: If x^2/36 + y^2/25 = 1 and y(1) = 4.93, find y’(1) by implicit differentiation.

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Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

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Q: Problem 6: Find the equation (in symmetric form) for the line of intersection between the following ...

A: Solution :-

Q: Calculate T5 and M5 for [ Vx6 + 5 dx. (Use decimal notation. Give your answers to five decimal place...

A: To calculate T5 and M5 for ∫12x6+5dx.

Q: a) When is the particle at rest? b) During what time interval is the particle moving right? Left? c)...

A: (a) The particle is at rest when velocity is zero. And we know velocity V(t) is the derivative of po...

Q: Find the slope of y(3x – y²) = 10 at (3, 2)

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Q: Find the surface area of a sphere of radius a.

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Q: Express number as ratio of the integers:

A: consider the equation

Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Calculus Question

A: The two graphs are y=14-x2, and y=4-x2 Area between two graphs is ∫ba[f(x)-g(x)]dxwhere f(x)=14-x2a...

Q: Explain how the graph of g is obtained from the graph of f. (a) f(x) = x , g(x) = − ...

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Q: Use the Green’s Theorem area formula given above to find the areasof the regions enclosed by the cur...

A: The give curve is circle. The parametric form of circle is, r(t) = (a cost)i + (a sint)j. Here, x = ...

Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the he...

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Q: If f(2) = 7, what can be said about the limit of f(x) as x approaches 2?

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Q: Suppose the integral shown. Furthermore, suppose ƒ is an even function andg is an odd function. Eval...

A: Given: ∫04fxdx=10∫04gxdx=20

Q: Use the shell method to find the volume of the solid generated by revolving the plane region about t...

A: Given y = 7x − x2 y = 0 about line x = 9

Q: 8. ( Consider the curve defined by the equation y" = 529. %3D Use logarithmic differentiation to fin...

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Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some...

A: Given: Px=901+271e-0.122x

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one l...

A: Given data: The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the ...

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing dev...

A: Given:x=2t3+3t2-12t,y=2t3+3t2+4

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: Given: D=x,y| 1≤x≤5, 1≤y≤4 ; ρx,y=ky2 Here, the objective is to find the mass and center of mass of ...

Q: The boundary of a lamina consists of the semicircles y = V4 - x2 and y = V 36 - x2 together with the...

A: The semicircles are y=4-x2 and y=36-x2

Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval ...

A: Given:y=x100-x2

Q: g(x)=-5x+2 find average rate of change of the function between x=a and x=a+h

A: Average rate of change of a function x=m to x=n is given as:

Q: Taylor polynomials Find the nth-order Taylor polynomial for the following functions centered at the ...

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Q: Find the slope of the tangent line to the curve - 6y3 – 42?y? = 2 at the point (1, – 1)

A: We have to find slope of the tangent line to the curve -6y3-4x2y2=2 at the point 1,-1

Q: A cell tower is designed to have a 10 mile radius. The service is located at (4,6) on a coordinate p...

A: given that a cell tower has a radius of 10 mile and the service is located at (4,6) to find: (a) the...

Q: To the right, you are given graphs of the functions f and g. Consider the functions u(x) = f(g(x)), ...

A: Graph of function f and g And functions u(x) = f(g(x)), v(x) = g(f(x)), and w(x) ...

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in slo...

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Q: 1) Find the derivative of the function. Simplify if possible.? = sin ? cot ? 2) Evaluate the limit...

A: 1) We have to find derivative of y=sinxcotx It can simplify it as: y=sinx·cosxsinxy=cosx Differentia...

Q: In problems1-10 determine aregion of the xy-plane for which the given differential equation would ha...

A: To find the region in xy- plane for the given differential equation we use theorem of Existence ...

Q: Set up the triple integral

A: Given function f(x,y,z)=y2 Tetrahedron T is region with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,...

Q: 3 Let f(x) = 8x° 1 df 15x - 5, x2 1.5. Find the value of dx at the point x= 2004 = f(7). %3D

A: Known fact: derivative of f-1x=1f' f-1x.

Q: Evaluate, if possible, the cosine function and the cosecant function at the following four quadranta...

A: Evaluate cos and csc in given four quadrantal angles.

Q: Find the arc length

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Q: The supermarket's cola products cost $16.20 per case of 24 bottles. They sell 3 for $13.00. What i...

A: Given, The supermarket's cola products cost $16.20 per case of 24 bottles. Therefore, the cost of pe...

Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But...

A: Total number of apple trees=x+19GIVEN:Additional tree planted the yield will decrease by three app...

Q: dy/dx=x squre root of y for y doesnt equal 0 Solve the differential equation

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Q: How to solve this question?

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