Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: 36) -24i + 32j

A:

Q: sec°(x) V cot(x) 6 X dx

A:

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-...

A: Topic:- derivatives

Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

A:

Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

A:

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

A:

Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

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

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: (2xy-y^)dx=(x²+xy²)dy=0

A:

Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

A:

Q: dy Find dx 2x sin (x + 9y) %D dy %3D dx

A:

Q: 8. 2. k(x) = %3D 1+3e-x first derivative Points of Inflection second derivative concaved up 1. conca...

A:

Q: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

A:

Q: 3. у%3D V(3х + 5)5

A:

Q: The rate of fingernail growth depends on many factors, but in adults nails grow at an average rate o...

A: The solution is given below.

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

A: Follow the procedure given below. 

Q: A total of 12 workers can complete a project in 16 days. If after 4 days of work there are 4 workers...

A: The objective is to find the number of days in which the project can be completed. 

Q: Find the inverse of the function f (x) = x-1 2x+3

A:

Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...

A:

Q: 61 Evaluate 6he integral. a 2. .2 3x

A:

Q: In 2012, the average home cost was $267,000 in my hometown of Fillmore. In 2021, the average rose to...

A: In 2018 , the average home cost will be

Q: Find the set of solutions for the linear system X1 + 3x2 3x3 -10 X2 4x3 -3 4x3 -8 - Use s1, s2, etc....

A:

Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

A:

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

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

A:

Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) (p A q) → (p V q) =T = - (pA q) ...

A:

Q: Solve the problem. Evaluate at (x, y, z) = (2, 5, 3) for the function u(p, q, r) = p 2q 2- r; p = y ...

A:

Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: (c) E1(-1)"sin() Σ n=1

A: We will use lebnitez's test to find wether the given series is convergent or divergent. The test sta...

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

A:

Q: 2+x*dr, %3D For positive integers n, the integrals I, are given by (a) , = 26V3. Show that I, (b) Pr...

A:

Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Find the inflection point of the function. (Hint:  g''(0)  does not exist.) g(x) = 4x|x|

A:

Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

A: Graph

Q: do The marginal cost of printing a poster when x posters have been printed is 1. dollars. Find c(196...

A:

Q: Solve the following equation for x. log(4x+170) = 2

A:

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

A:

Q: 3. A circular pool with a radius of 6 feet has a border with a width of 1 foot. a. ) What is the are...

A:

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 40,000 - 550p ...

A:

Q: 4. Evaluatelim X-1 Show your complete x-1 solution.

A:

Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

A:

Q: Determine if v is an eigenvector of the matrix A. Select an Answer v 1. 25 8.99999999999999 1 A = , ...

A:

Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

A: NOTE: Refresh your page if you can't see any equations. . for the year 2008, t=1 so for the year 20...