Compute the derivative of the following function. You do not need to graph it. g(x) = sin x· cos x

Q: Find f'(a). 2t + 12 f(t) = t + 9 f'(a) =

A:

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: The given number is:

Q: (a) Suppose the value of f(x) = e is known in x 0.98 and x = 1. Find the linear interpolation approx...

A:

Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

Q: Solve the differential equation. Finalize answer in terms of x and C combined equated to y. (e.g. y^...

A:

Q: (1) (a) Solve the following: (i) 2 =! (b) The population of the world in 2015 was 9.75 billion peopl...

A:

Q: trigonometric functions (alway decimal approximation (unless a) cos b) V3 sin- V3 c) cos

A: As per guidelines if multiparts questions are posted we are allowed to solve 1st three parts....so f...

Q: Consider the following function. 9(x) = x2/3 (a) If a + 0, find g'(a). g'(a) = (b) Illustrate that y...

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2 C...

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find y'. 4) y = (5x3 + 5)(5×7 .7) A) 250x9 + 175x6 - 105x2 C) 20x9 + 175x6 - 105x2 B) 250x9 + 175x6 ...

A: The function is given by y = 5x3+55x7-7 To evaluate: The expression of y'

Q: 1 Evaluate: cos 2T dT e C. S-3 (S-3)+4 (5-3)² +4 b.5-3 d- 24 s[es-3)°t4]

A:

Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: 14 70 and * >0, then x >4(0). which theorem supports this statement If a >6 and c> o, then c9 > c6. ...

A: Let a,b,c ∈ R , where R is set of positive real numbers. It is given a>b and c>0, it can be wr...

Q: ute the directional derivative in the direction of v at the given point. S(x, y) = eY-³°, v= (12, –5...

A: We are asked to find the directional derivatives.

Q: v° tan odo 5+31ncosv

A: See this solution 

Q: x' 3 3 4 27 -x+39 (2) For the function f(x)= (i) Determine the coordinates of the turning points. (i...

A:

Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b) Re...

A: The solution of two parts are given in the next steps.

Q: What is the integral of f(x) within the interval [2, 6]? AY 4- 2 2 4. 8 Created with a trial version...

A: We can find the area as below.

Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

A:

Q: Solve the equation below by any method. Give an exact answer, using radicals if needed. 2x2 – 12 = -...

A:

Q: Determine the curvature of 7(t) = (t,t“, t°) V36t4 + 9t² + 4 K А. (9t4 + 4t2 + 1) V36t4 + 36t2 +4 В....

A: We have to find curvature of vector r(t).

Q: Using the definition f continuity justify X-Values where the funcion is not continur 7) fus = %3D if...

A:

Q: (5x+sin3(4x) + sin(4x³)) dx

A: use differentiation for finding the solution.

Q: Problem 3. Find the derivative of the following function I sec(1 +r') dt. sino) F(x) = F() D

A:

Q: 4. S(x) = log,(-x)

A:

Q: A 2-lb-per-gallon salt solution is pumped in a 400-gallon tank at a rate of 2 gallons per minute. At...

A: We will find that how much salt is in the tank as soon as it starts to overflow.Below find the solut...

Q: Find dy/dt. 9) y = cos (rt - 20) A) -7n sinº(nt – 20) C) 7 cos (zt - 20) B) -7n cos(nt – 20) sin(7tt...

A:

Q: Find the volume of the parallelepiped defined by the vectors й%3 (3, —1,4), ѣ —D (2, 1, —2) and й %3...

A:

Q: Find the vector form of the equation of the line that passes through the points (1,-3,2) and (4,2,-1...

A:

Q: What is the modulus of: 1. (i + 1) (2 - i) 2. 4 + √5i 3. 2 - 3i

A:

Q: Simplify the following into a single logarithm: 4 log(5) – 2 log(x) 54 O log O log(4 · 5 - 2x) O log...

A:

Q: 196 The number is because it be expressed as a ratio of two integers.

A: Given number is    196

Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

A:

Q: Simplify the product. V3• /27 V3. V27 =O (Type an exact answer, using radicals as needed.)

A: This question is based on simplification of root.

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

Q: Let vector r(t) =  be the position function of an object. a. Find vector v(t) and vector a(t), the v...

A:

Q: 1 Compute 7' (t) where 7(t) : t+1

A:

Q: Gffind the fallowing. リLf07→f(りこ 45in ut 3. とe

A: To find:1) L4sin4t2) L4+e4t3

Q: TC 12) csc - 5T 14) cos 5T 16) cos 3 18) cos Co - 4. 4. 4.

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

Q: Find the length of side x in simplest radical form with a rational denomin 1.

A: Topic = Triangle

Q: price p (in doi equation q = 800- 20p and 0s ps 40 (i) Express the revenue R as a function of q. (ii...

A: Given demand equation is q=800-2pand 0≤p≤40where p is the price and q is the quantity sold

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A:

Q: Find the derivative of the function. 8) q =V10r - 15 -5r4 A) - V10r -15 B) 2/10r - 15 C)- 2/10 - 514...

A:

Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

A:

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

A:

Q: Rationalize the denominator. V14 The answer is O (Simplify your answer. Type an exact answer, using ...

A: topic - rationalization

Q: In the food industry, a quantity called decimal time is used instead of half-life. The decimal time ...

A: Half life is given T1/2 = 20 minute, relation between half life and disintegration constant k is giv...

Q: Find the derivative. 5) y -2. 9 sec x A) y'- 9 wec x tan x B) y'-9 tan?x C)y'--9 D) y' =-9 sec x tan...

A:

Q: P2.B: Evaluate the integral: (x+ 1)/2 J (x – 1)5/2

A: Evaluate the integral ∫x+112x-152dx