14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000. ...

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: 27e + 39e 18e – 10e- Find the horizontal asymptotes of the curve y: Note: Give the exact answer but ...

A:

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: By direct differentiation, find f(x) where flz) = 3x-2

A:

Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

A:

Q: Find the intervals in which f (x) = 2x3 + x2 - 20 x is increasing or decreasing.

A: Follow the procedure given below. 

Q: 1 dx

A:

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

A:

Q: Joes the graph of the function below have any horizontal tangent lines in the interval 0 sXS 2T? It ...

A:

Q: 2. Y = (5x³ + 2)6 ;y"

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So, 

Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

A:

Q: W = f(T,v) where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A ...

A:

Q: Find the the solution to the following system of equations using the Gauss-Jordan method: x - 2z = 0...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: Solve the problem by writing and solving a suitable system of equations. A chemistry department want...

A:

Q: QUESTION 4 Differentiate a) e8xcosx b) lnx sinx

A:

Q: In this question we will find a recursive formula for the integral In = | (In a)" dr. (a) Find I1 an...

A:

Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -...

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

A:

Q: If z = x? + y?; x = t sin t , y = 2t cos t dz then dt at t = is

A:

Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

A:

Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each...

A:

Q: QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

A:

Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following ste...

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

A:

Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

A:

Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: Find the limit of the function along the path y = 0. X-m lim (х.у) - (0,0) у -п C. -" 772 772 A. 0 В...

A:

Q: 2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the para...

A:

Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: Find the general solution. dy_ y _ x+y dx X-1 O a. y= cx?- x+1 O b. y= cx?- x(c+ 1) O c. y= cx?- x-1...

A:

Q: For questions 2-5 please determine the following: a). End behavior of f(x). b). Determine the r-inte...

A:

Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

A:

Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

A:

Q: 8. find c in the int erval[-2,1] for f(x)=x' +x+3 use f'(c) = (b)-f(a) b-a 8.

A:

Q: Factor the following: f (x) = 2x4 – 3x3 - 6x2 + 5x + 6 Select all the correct factors of the functio...

A:

Q: 8. The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. a) What does f'(...

A:

Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

A:

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A:

Q: Determine the maximum and minimum points of the given functions below. f(x) = 3x4 – 16x3 + 24x2

A:

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: Consider the following. 2r I+4 f(x) = Use a computer algebra system to find the derivative of the fu...

A:

Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-