33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answer ...

Q: is Convergent divergent. Evahate Determine whether each those that are integral or Converyent. 1 dx ...

A: The given integral,        ∫0414-xdx

Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p...

A:

Q: Find the derivative of the function. g(x) = (1 + 4x)8(3 + x – x²)º g'(x) = %D

A:

Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles

Q: Write the first five terms of the sequence, give the exact answer: +oo In+11) n=1 Determine whether ...

A:

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given problem:- Find the vector equation of the line, L that passes through the points P (2, -2, 8) ...

Q: (カナ) 2.

A:

Q: Based on the graph, fill in the table with the appropriate values lim f(x) f(c) -2 -1/2 1 3 4

A: Given

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (b)  ...

A:

Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: Fill in the blanks with an appropriate word, phrase, or symbol(s). The set of numbers {0, 1, 2, 3, 4...

A:

Q: Determine whether the integral is convergent or divergent. The integral from -2 to 14, 7/(x+2)^1/4 d...

A: integration ∫-2147x+214dx

Q: Write the parabolic equation in standard form and identify the vertex, focus, directrix, and directi...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 - ...

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x? - y° - 8 = 0 y' =D y'l(3....

A: The given function,      8x2-y3-8=0

Q: Type C if the statement is TRVE Type A if the statement is FALSE Typc D if the statument is NCIther ...

A: Given statement is  fx and fy are the special cases of directional derivative in the directions of t...

Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find. 

Q: 8 6. Let A -4 -2 Find two different diagonal matrices D and the corresponding matrix S such that A S...

A: Given:    2x2 Matrix is given

Q: x +1 if r -1 Determine if lim f(x) exists. 2-1

A:

Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

A:

Q: 13.

A: y=tsint1+t

Q: Determine whether the equation defines y as a function of x. Please show all the detail steps of you...

A:

Q: Sv-4 - y-3) dy

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: in your own words, discuss the relationship between the slope of the tangent line, the derivative of...

A: slope of the tangent line, the derivative of a function using the limit process.

Q: x(x²-x+2) dx is equal to 3

A:

Q: tan x sec xdx

A: Follow the procedure given below.

Q: Find a vector b such that |b| = 1/2 that is parallel to a = but with opposite direction.

A: Given that: |b|=12a=&lt;-6, 3, -2&gt;

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly repo...

Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

A:

Q: Evaluate the limit 4x2 5x + 5 lim x → - 2 x – 7

A:

Q: Question Select the correct category for each item. Let f(x) be a function and let a be a real numbe...

A: 1. limx→a f(x) =2, then f(a) = 2. When we are computing limits the question that we are really askin...

Q: Find the General Solution: y" - 3y' + 2y =e*

A:

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A:

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A: We have to find the equation of normal and tangent line. 

Q: A kid is watching a helicopter vertically taking off from the ground at a speed 280 km/hr at a dista...

A: Find your answer below 

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: 13 dk

A: Given :      ∫e73k-13   dk

Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

A:

Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

A:

Q: .3 dx S (x4+ 16)' 2

A: This question is based on indefinite integral.

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: x+tan x 4. lim X→0 sin x

A:

Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the poi...

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.