Question 19 * 19. Differentiate f (x) = 3 ln (2x –1)´ with respect to x . 12 S"(x)=- 2x-1 A S'(x)=: 2.x –1 B 6 f'(x) =- C (2.x–1) 12 S"(x)= ; 2.x –1 D %3D

Q: II a.5 cos? =D5

A: You asked multiple questions but as per guideline I can do only one question. Please repost the othe...

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

A:

Q: 16 — е2 d.x e- dr 212 + 4х —7

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: sec°(x) V cot(x) 6 X dx

A:

Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: Find the total area of the shaded region. AY 16- 14- 12 10 32 40 12 14 16-

A:

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

A:

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

A:

Q: 2+x 5. Given f(x) =<tX Find X-4 %3D a) fe) b) f(a+1) c) f(x) + f(h)

A:

Q: Using the following equation, find the center, vertices (and its axis), foci, and asymptotes. (Note:...

A:

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

A:

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

A:

Q: dy dr of the function given implicitly: Find 3ry + 6e" = 6e. Evaluate the second derivative at the p...

A:

Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

A:

Q: 3. Determine whether or not each equation is a function. Justify your answers. a) y =- 2x + 5 b) x? ...

A:

Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: Find fxxx and fryx for f(x, y) = x*y2 – x³y.

A:

Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

A: Decay function is given by y=a(1-b)t where a is initial amount          b is decay factor          t...

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7  ...

A:

Q: (d) dx a + x (e) 1 da J (a + x)2

A:

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug...

A:

Q: In November 2021, the stock price for an Apple Inc has increased from $131 to $148 per share and Ama...

A:

Q: dy 4x+xy? dx

A:

Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: Let u = (6, 3), v = (2, -9). Find 4u - 6 v.

A:

Q: Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P2...

A:

Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

A:

Q: Find what value of c does L dx = 1 ? x4 Answer:

A:

Q: The function f is shown below. What is the value of | f(z) )dx? Write your answer in simplest form. ...

A: Topic:- integration   

Q: 13. Find the solution set of a) |6x – 13x - 5|| = 2x b) 14x 1| > |2x + 3| + 1 c) |2x² – 3x – 4| < 5 ...

A: Discuss all cases and solve it. 

Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

A:

Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

A:

Q: Find the critical points of the following. 1. R(t)=1+80t3+5t4−2t5

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: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A:

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

A:

Q: Katalin rides her bike through a tunnel shaped like the top half of an ellipse. The tunnel is 11 met...

A:

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given query is to find the average temperature of the coffee in the first 40 min.

Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Show all work. Use your ow 1. Solve the following e a. 3 tan x = tanx b. - sin2 x +3 ce c. 3 cos = 2...

A:

Q: DIFTERENTIAL 6QUATO NS Eliminate the arbitraty constans y Iny c,e+ Cze Fihp THe BIFFERENTI EQuntoN F...

A:

Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. 1(x,y) = - 2x? + 7xy ...

A:

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

A:

Q: 1 dx (use trigonometric substitution) 3.

A: Integration

Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

A:

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

A: