Find the limit using L' Hopital Rule. L'Hopital Rule. lim x? In (5x)

Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

A:

Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the poi...

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

A:

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: Perform the operation(s) and write the result in standard form. (Simplify your answer completely.) (...

A:

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: f(x) = x³ – x +1 e = 0.0001 %3D %3D initial value = 0 %3D increment = -1 %3D

A:

Q: Mr. James had written two math tests. First test was worth 25% where he scored 40 marks out of x and...

A: topic - weighted average

Q: esecx+lntanx -dp- 9. cos x

A:

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

A:

Q: 1+cos0 lim 0→0- sin@

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the goneral solution: 5. H.W auswer! Xe.

A:

Q: Work Problems a) Evaluate the integral (4x + 1) ln x dx b) Evaluate the integral fou | 6 tan" x sec“...

A:

Q: Your are driving away from Detroit. Your distance​ (in miles) away from Detroit x hours after​ 12:00...

A:

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: Given problem:- Find the maximum profit and the number of units that must be produced and sold in or...

Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

A:

Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

A:

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: (a) e2tsin (wt +t/6)

A:

Q: Give some examples of limits in real life situation (preferably in a persons life)

A:

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0s...

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by    ...

Q: ) Find the indetinite întegrel. 8, Inede

A:

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=13q+500​, find the maximum profit that ca...

A: Profit is given by P(q) = R(q)-C(q)Given R(q) = 80q-0.2q2C(q) = 13q+500P(q) = 80q-0.2q2-13q-500P(q) ...

Q: Test for symmetry with respect to each axts and to the orlgin. (Select all that apply.) 4 O The equa...

A:

Q: Find the solution of the differential equation with the given initial condition. dy 2xez? y(1) = 2 d...

A: This question is based on solution of differential equation.

Q: 3 Determine the intervals for the following functions to be defined. Show that the functions are con...

A:

Q: (x – 2)2 +1 if x 2

A: We have to check continuity of function at x=0 and x=2

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

A:

Q: Help

A: We will find the dimension to minimize the fencing. 

Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: Given cost and price (demand) functions C(q) = 110g + 41,000 and p(g) = - 2g + 870, how many items m...

A: This question is based on application of derivative .

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

Q: Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

A:

Q: Give the Maclaurin series expansion of f(x) = ln(3 – 2x). Determine its interval of convergence. App...

A:

Q: 6. S Ve3x + e4x dx

A: 6.∫e3x+e4x3 dx∫e3x+e4x13dx

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of c...

A: Each corner square has side 'x' Length of the box = 19-2x Width of the box  = 11-2x Height of the bo...

Q: 1500+13x-0.01x240.000s 3 Compare C'(400) with the cost of manufacturing the 401st yard of fabric. (R...

A: Given:    C(x) = 1500+13x-0.01x2+0.0005x3

Q: Consider f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(x)= ------- Bas...

A:

Q: Evaluate the definite integral V9 – x dx 0.

A: ∫05 x9-xdx  

Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

A:

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

A:

Q: Find dw/dt using the appropriate Chain Rule. Function Value t = 0 w = x sin y x = et, y = n - t dw d...

A: Given query is to find the indicated derivative.