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Q: Find the derivative of the function. f (x) = (r³ + 10r + 4) ( 4 + (+) f '(x) =

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Q: FIND THE FIRST DERIVATIVE

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Q: Find the derivative dydx of the parametrically defined function x=t+2sinπt, y=3t−cosπt at t=12

A: Given X=t+ 2 sinπt and y = 3t- cosπt We have to find dy/dx at t=12 Method used Chain rule-...

Q: Determine if the following improper integrals converge or diverge

A:

Q: Show that the graph of the inverse of ƒ(x) = mx + b, where m and b are constants and m 0, is a lin...

A: Given function is Firstly, we will find inverse function of f by solving y=f(x) for x Therefore, i...

Q: Compute the average value of the following function over the region R. f(x.y) = 4 e -Y; R= {(x,y): 0...

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Q: Han'x sec x d. 237 X Sec xdx

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Q: Find the volume of the region bounded above by the paraboloid z = 9 - x2 - y2, below by the xy-plane...

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Q: Find the volume V of the solid below the hyperboloid z=7- 1+ x2 + y and above the following region. ...

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Q: Determine whether the following series converges or diverges. Show all necessary steps. k!3* 1 (a) (...

A: Given series is We will use Ratio test to check the convergence of the series. Since the value of ...

Q: 400lb·ft to kN·m.

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Q: Which one is the right answer? Please provide solutions.

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Q: Find d?g/dh? if 2g + 3h? : 2h3 8. -

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Q: Let f(x)={ 1-x^2 if x<=0 2x+1 if x>0(a) Evaluate f(-2) and f(...

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Q: Exercises 59–61 tell by what factor and direction the graphs of the given functions are to be stretc...

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Q: Estimate the slope of the tangent line at the point indicated. P(x) = 3x2 - 5; x = 2

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Q: In Exercises 55–72, sketch the graph of the function. Indicate the tran- sition points and asymptote...

A: y=x+3 is a linear function, so it will not have any transition points or asymptotes We make a table ...

Q: Show your work neatly 2+43 水+3+-1 xp

A: We have

Q: Q1 ,b

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Q: 1. Find the area of the surface generated by revolving the parametric curve x =rcos , y = r sin & (0...

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Q: Please show all steps clearly. The first picture is the problem and the second picture is the questi...

A: For x>5 , |x-5| = x-5 5+ is more than 5. So for limit x-> 5+ we will take (x-5)

Q: If the equation of motion of a particle is given by s = A Cos ( ω t+? ), the particle is said to und...

A: a) The velocity of the particle at time t is ds/dt

Q: Find the inverse of f(x) = and determine its domain and range.

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Q: Please help

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Q: Find the volume of the solid cut from the square column |x|+ |y|<=1 by the planes z = 0 and 3x + ...

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Q: Show whether the series converges absolutely, n = 1 converges conditionally, or is divergent if (2n ...

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Q: Find the centroid of the boomerang-shaped region between the parabolas y2 = -4(x - 1) and y2 = -2(x ...

A: Parabolas are

Q: Find the volume of the solid generated when the region enclosed by y=sqrt(x+4), y=2x and y=0 is revo...

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Q: Find the differential of the function y=1/√u2+v2, where u and v are differentiable functions of the ...

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Q: Find the remaining angle(s) and side(s) of the triangle, if it exists: A = 58°, a = 4.5, b = 12.8

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Q: say whether the function is even, odd, or neither.Give reasons for your answer. sin x2

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Q: Sketch the solid obtained by rotating the region underneath the graph of the function f(x)=x^(−4) ov...

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Q: The numerical value of tanh(ln(3)^0.5)

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Q: Find the equation of the tangent line drawn to the curve y4−4x4−6xy=0 at the point M(1,2).

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Q: xe" – In(1+ x) is lim x2 :Select one .a 4 .b 2 .C .d 3 3 一2

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Q: At a certain factory, the marginal cost is 3(q - 4)2 dollars per unit when the level of production i...

A: Consider the given marginal cost function as M(q) = 3(q-4)2 Let C(q) denote the total cost of produc...

Q: Calculus Question

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Q: |81. Recall that the present value (PV) of an investment that pays out income continuously at a rate...

A: The present value (PV) of an investment that pays out income continuously at a rate R(t) for T years...

Q: A sphere is filled with air. If the volume of the sphere is decreasing at a rate of 534 cubic cm per...

A: Given

Q: The position of a particle is defined by the vector r(t)=⟨sint,cos2t⟩. Find the maximum speed of the...

A: r(t) = ⟨sint,cos2t⟩ Hence, v(t) = ⟨cost,-2sin2t⟩

Q: | 23. Find the outward flux of the field F = ( 3xy i + (e* + tan¯ly)j х 1 + y?, across the cardioid ...

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Q: If x=t5-10t2 , when will the acceleration be zero?

A: To find the acceleration we need to find the second derivative of the position function x=t5-10t2 ...