Let g be a function that is defined for all x, x 2, such that g(3) = 4 and the derivative of g is x² – 16 x-2 g'(x) = with x + 2. 3. On what intervals is the graph of g concave down? Justify your answer.

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 3...

A:

Q: An apple farm yields an average of 38 bushels of apples per tree when 24 trees are planted on an acr...

A:

Q: Differentiate: -X-Cos y

A:

Q: The sum of one positive number and the square of another equals to 21. Choose the numbers so that th...

A:

Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

A: Given query is to find the value of the integral.

Q: S 4 sec2x dx 2. tan?x+2tanx+5

A: Evaluate the integral  4sec2x/(tan2x+2tanx+5) 

Q: f(x)| f'(x) || g(æ) g (x) -7 16 -4 4 -2 1 -1 1 8 6 2 -1 3 10 11 Assume that f(x) and g(x) are differ...

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: Find the Laplace transform for the follow e-t sin t

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

A:

Q: imum. Select the correct choice below and, if necessary e your choice.

A:

Q: Jo 17. cos² x sin? x dx

A:

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

A:

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

A:

Q: iven curves. y - x?, y - 2x - x? y

A:

Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and 7...

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4 kn...

Q: x* dx Determine. S V4-x

A:

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx 

Q: 1. Find each integral. а) 2 sin * xcos sin ª xcos³ xdx b) | sin * xdx

A:

Q: Evaluate fv2 2) (2a? – 2?) dæ æ²) - -

A:

Q: -1.5z – 7 if I 2 4- -8 -7 -6 -5 -4 -3 -2 -1, 1 23 4 5 6 7 8 -2 -4- -5- -7 8- Clear All Draw: Note: B...

A: Topic:- function

Q: cos² 2t dt

A:

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In sec²(sin...

A:

Q: A tree on a hillside casts a shadow c = 210 ft down the hill. If the angle of inclination of the hil...

A:

Q: 0.74-1 k-1

A:

Q: 1. Evaluate the integrals and sketch the region of integration. 1) º, S(+y +1)dædy 2) So , 1 sin ydy...

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j.

A:

Q: Find the radius and interval of convergence of the given power series. +o0 (x +3)" Σ 1. n5 +1 n=0 +0...

A: Given problem:-     To find:- Interval and radius of convergence of given series

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

A:

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact ...

A:

Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt A 4e' +e- 4dt (в B 4e'+...

A:

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: dy/dk=(3ky+y^2)/(k^2+ky)

A:

Q: explain

A:

Q: Find. S sin3 2x cos3 2x dx

A:

Q: Assume that x = x(t) and y = y(t). Find dt using the following information. dy x² +y? = 2.92; - 2 wh...

A:

Q: Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and g...

A:

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate (de...

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of exercis...

Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: topic- application of derivatives

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)...

A: Slope is already given. And for slope we have to find dy/dx  and then simplify. 

Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four ...

A:

Q: lim, 00 f(x) = lim, 4 f(x) lim, -1 f(x) = f (4) =

A:

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

A:

Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak