Can you help me find the critical numbers then use the first derivative test to find the local max and min? Thanks! omof731. y(35) y = x³ + x³ +137. y = x4 - 4x3/239.) y = x +x=-1AD y == x³ + x² + 2x +443, y =1x² +1.3+3x² + 145. y = 0 + sin 0 + cos 0,47) y = sin²0 + sin 0,(x > 0)49. y=x+e-x51. y = e-* cos x,3. y = tan-¹ x - xy = x - ln x²[0, 2:[0, 2][-]

Answered: Image /qna-images/answer/376581d0-d401-4a26-8cb8-a7be0ce0d449.jpg

Answered: 51. y = e-* cos x, [- , ] 3]

Math

Calculus

51. y = e-* cos x, [- , ] 3]

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: ← aw Əw For the functions w = xy + yz + xz, x= 2u+ 3v, y = 2u - 3v, and z= uv, express and du Əv…

Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

Q: Obtain the general solution of the following differential equations. 4. x(x² + y²)²(ydx -xdy) +…

A: Given differnetial equation:- xx2+y22ydx-xdy+y6dy=0

Q: Question 5 of 10, Step 1 of 1 The variable a is jointly proportional to the square of band c. If a =…

Q: 2. Let y 3x23 a) Find the change in y, Ay when x = 5 and Ax b) Find the differential dy when x 5 and…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 8s² - 49s + 294 s(s² +49) Your…

A: given Fs=8 s2 - 49 s + 294s s2 + 49 and asked to find the inverse laplace transform of F( s ).

Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

Q: 4. Find dy/dx, where y(x) is an implicit function defined by x² cos y-y² sin x = 0

Q: TT 4 3. f(1 + sinx) dx + f(1 + sinx) dx 0 TU 4

Q: Answer the following True or False. If f(x) is a positive 1-1 function, then 2πT cb a xf(x)dx = 2π…

Q: (x)u[ S -dx 陇

Q: The height (feet) of an object moving vertically is given by s= - 16t+48t + 36, where t is in…

A: Given height function s = -16t2 + 48t + 36

Q: Consider the family of functions given by h(t) = (a) Find h '(t) = (b) Find the t-coordinates of the…

A: The given function is:h(t)=at2t-b ; where a>0 and b>0

Q: 52 16 59 12 20. If an = 4(3)″−¹, what is S3?

A: Given: an=43n-1

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

Q: 113 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

Q: Sketch the region that corresponds to the given inequalities. 3x - 2y = 0 x-8y ≤ 0 x = 0, y = 0 O y…

A: The given inequalities are: 3x-2y≥0x-8y≤0x≥0y≥0

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

Q: For any constant a, let g(x) = ax - (a) What is the x-intercept g(x)? X = (b) Find g '(x) = (c) For…

Q: A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome…

Q: Sketch the region of integration and change the order of integration. So f f(x, y)dydx

Q: Assuming 6x³ - 2y² + 4xy = 0 defines y as a differentiable function of x, use the theorem dy = dx dy…

A: To find derivative at given point

Q: 2. Find the directional derivative of p(x, y, z) = x²y z + 4 x z² at the point (1, -2, -1) in the…

A: We have to find the directional derivative of the given function. According to our guidelines we…

Q: Find the general solution to the non-homogeneous differential equation. y" - 3y' = sin(4x) y(x) =

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (1, 2, -1), u'(2) = (9, 1, 6), and v(t) = (t,…

Q: A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5,10), 4 8 (10,6) 12 x…

A: Maximum and minimum values of the function can occur at corner points.

Q: Find the centroid of the region cut from the first quadrant by the circle x² + y² = 81.

A: Find the centroid of the region cut from the first quadrant by the circle x2+y2=81.

Q: S²2 Sex+257 ² cos(3y² – 1³) dydx 2

A: The given integral is:∫-22∫x+22x+2 cos3y2-y3 dy dx

Q: Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

Q: Consider the function f(x) = 2 +² + 3x at (0, 2) we have: -slope:5 - equation of the tangent line at…

Q: Find the volume of the region bounded above by the surface z = 2 - y² and below by the rectangle R:…

Q: Assume that w=fl Əw Ət Əw əs 11 aw at =f(s³ +1²) and f'(x) = ex. Find and ?w ds

Q: The region R is bounded by the curves y = √√x and y and y = x³

Q: Ĉ the given curve is rotated around the y-axis Find the area of the resulting surface y = I 9 2 "² I…

A: The given curve is:y=14x2-12ln x ; 4≤x≤5

Q: nf is shown. f'(x) 6 X nter your answer using interval notation.) Enter your answer using interval…

A: We have to find the intervals such that function is increasing and decreasing according to the given…

Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing…

Q: Of all rectangles with a perimeter of 30, which one has the maximum area? (Give the dimensions.) The…

Q: Obtain the general solution of the following differential equations. 6. xdy-ydx-√√x² - y²dx=0 ¹(²-)…

A: According to your question mentioned ...in answer ....ln|c.x| will come in place of ln|c/x|....in…

Q: Q. 3 Given z = x²y, x = 2t+s, and y = 1 - st². dz We have to find dt s=1, t=2. We first find dz dt

A: Given data÷ z=x2y ,x=2t+s, y=1-st2 dzdt at s=1,t=2 Here, z=fx,y and x=fs,tand y=fs,t

Q: Find an equation for the plane through the point (6,7,5) and perpendicular to the line X=1-8t,…

A: Given equation of line:- x=1-8t,y=1+7t,z=4t+2

Q: Evaluate cos (8x) sin-2 (8x) dx. S cos ³ (8x) sin-2 (8x) dx =

Q: Docking a Boat A boat is pulled toward a dock by means of a rope wound on a drum that is located 5…

A: let distance between boat and dock is x ftlet rope length is y ft

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

Q: 1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Evaluate the limit sin 8x lim x 0 sin 2x

Q: Find the volume of the solid enclosed by the surfaces z = 8 - 2(x² + y²) and z = 6√x² + y²

Q: Find r(t) if r(t) = + i + e¹j + 2te²² k and r(0) = i +j+ k. r(t) =

A: integral

Q: 5) If f′(z) = e^z and f(0) = −3, find f (z).

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Question

Can you help me find the critical numbers then use the first derivative test to find the local max and min? Thanks!

om
of
7
31. y
(35) y = x³ + x³ +1
37. y = x4 - 4x3/2
39.) y = x +x=-1
AD y =
= x³ + x² + 2x +4
43, y =
1
x² +1
.3
+3
x² + 1
45. y = 0 + sin 0 + cos 0,
47) y = sin²0 + sin 0,
(x > 0)
49. y=x+e-x
51. y = e-* cos x,
3. y = tan-¹ x - x
y = x - ln x²
[0, 2:
[0, 2]
[-]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

How did you get from 1+cos2x to 1+cos2x-sin2x? How did you get from 4cos(x/2) to -2(1+cosx)? How did you get from 1+cosx-since to 2cos2x?Does the tangent x cancel itself out? What does the last step say? I can’t read it
Differentiate: y = 1n cosh^3(cos 2x)
Differentiate the following with respect to x using appropriate rule 1) (2-5x)^ 3/2 2) 2x^3 cos 3x 3) 2x+1 / 3x-4
First and second derrivative of: y=5 /(sin 3x+cos3x)
Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| < 1/2.
Prove cosh 2 x - sinh 2 x =1
Use Simpson's 3/8 rule to compute the approximated solution where f (x) = 1/Cosx + 4 defined at the interval (1,4.5) and n = 7
Describe the method used to integrate sinm x cosn x, for m even and n odd.
limit x to 0 3x-3xcox/sin^2(3x)
I don't understand why it gives 2(1/v1 - sinθ/v2) z1/cosθ + x/v2 If someone can help me please.
Integral of 3x^5 + cos^2(5x) + 2sin(x)
what is the maximum value of y=sinx, 0 less than or equal to x less than or equal to 2pie, and occurs at x =?