The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is represented by the following. C(x) = 6000 36 + 2 (a) Perform the integration to write C as a function of x. C(x) = (b) Find C(1), C(5), and C(10). (Round your answers to the nearest whole number.) C(1) = $ C(5) = $ C(10) = $

Q: e 3x (d) lim X→0 5x+200

A:

Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

A: We have to tell whether it is true or false

Q: n lim >(sin (2mx;))Ax over [0,1] i=1

A:

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

A:

Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

A:

Q: In what quadrant does the angle lie? 71/3 O IV II O II

A:

Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: x2 +y? +z? - 4x + 8y – 2z = - 12

A:

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: Describe the long run behavior of f(x)=-2(4)x+4

A:

Q: The market research department of a company recommended to management that the company manufacture…

A:

Q: How did he get the second derivative step by step and a clear line please 9 -- F(x) = 1+e siny x…

A: To find out the second derivative.

Q: 5. y = 3x - 4 at (0. - 4)

A:

Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

A:

Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: S dx 2x-1 1. Vx+2

A:

Q: a) [ Explain why the following series * (-1)" 00 Σ 1 + n5/2 n=1 is Alternating. b) ! : Use the…

A: Solve the following

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

A:

Q: 1- sin r 6. Find lim 1/2 CSC x Csc x

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

A:

Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

A:

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

A:

Q: d E A. By power series, prove that: -cosx = -sinx dx

A:

Q: 2x e d.x 4e2 – 8e" + 5

A:

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e5…

A: The given equations are;  2ln(x)=ln(y)+ln(25) exey=e5

Q: Q1. Test the convergence and divergence of the following: 6. E=1 Inn (comparison test) 00 n%3D1 71…

A:

Q: Find the slope of the tangent line to the curve la? + 4xy – ly = 11 at the point (2, 1).

A:

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: f(x)=(5+x4)1/4 what is f2(x)

A: Given query is to find the second derivative of the expression.

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: A quadratic polynomial y = 4x +7x-3 has roots pand q. Find a quadratic g(x) +ar+B with roots r= and…

A:

Q: (b) Lines of reflection Lines of reflection Lines of reflection Order of rotational symmetry Order…

A:

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

A:

Q: Vy 1 5:A- Solve the differential equations 2xy+

A:

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: (e) e3の+2 = 5 In in 3a¥ス= Ins Correc

A:

Q: a) [. :l: Determine whether the following series (-1)"5"-1n . 42n+1 n=1 is convergent or divergent.…

A: As per policy only first question is answered. Please refer to the image below

Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

A:

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by variation of parameters…

A:

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

A:

Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal