4-2 3dr +c %3D

Q: is Convergent divergent. Evalate Determine whether each integral convergent. or those that are In X

A:

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: y Iny Ae^+ Bex

A:

Q: 11T A point has polar coordinates ( 8, 6. Convert to rectangular coordinates. (r, y) = Enter your an...

A:

Q: Show that the limit x²ycos y lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

A:

Q: A function f(æ) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f o...

A:

Q: dy/dx% 3 sec 2xsec3y

A:

Q: 2. A hemisphere of radius 12 miches and base up is full of water that Funs out thrdugh an orifice of...

A: Given:  A hemisphere tank of radius (R) = 12 in =0.348 meter Area of orifice (a) = 1 in2 =0.00064516...

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: Please do number 9

A:

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: A per your request , (b) The equation of sphere is given as , x2+y2+z2=Rs2 and Radius of drill=Rd f...

Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line line...

A: The region is bounded by,       x=y2+2 ; y=4-x and x=2

Q: 21-24 Find an equation of the tangent line to the curve at the given point. 21. y sin x + cos x. (0,...

A: we  have to find equation 

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

A:

Q: For real number p, let f and g be defined by f(x) =e=*³ and g(x) = 1/x", respectively, on [1,00). р,...

A:

Q: 2 sec wdw a) 1

A:

Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

A:

Q: solve using reduction of order (D^2+1)y=tanx

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given

Q: Graph the line x - 2y = 4 and find its intercepts.

A:

Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: 40. 1 1+ 1/n n = 1 n

A: According to our policies we are allowed to solve one question at a time so kindly repost the other ...

Q: DEGREE

A: We have to determine the order, degree and linearity of the given differential equations according t...

Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

A:

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: 1. A particle moves along the x-axis so that its velocity at time tis given by v (t) = t6 –13t4 + 12...

A:

Q: dy + 2xy = 4x dx

A:

Q: (b) If f(x) = anx", specify the domain of f. %3D

A:

Q: Consider the following. 2(x - 9)2 + (y - 6)2+ (z - 4)² = 10, (10, 8, 6) (a) Find an equation of the ...

A:

Q: cos x 3) 1+ sin x 6) [cosh vdv

A:

Q: orth0gonal trajectories y^2=4x^2(1-kx)

A:

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

A:

Q: Find the deri vative. y= tanx sec x t CsC X

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given sequence is: 19, 193, 1932, 1933, ....

Q: Calculate by using integration by substitution, sec? V5 (4) tan 17 dx What was your substitution? u ...

A: For the following problem,

Q: ite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer ...

A:

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as...

Q: 4. Calculate the volume of the solid obtained by rotating the region bounded between y = -x and y = ...

A: Note :- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly r...

Q: From a point 56 feet above the ground, a stone is thrown vertically downward and hits the ground at ...

A:

Q: Multiples of 7 are written next to each other 714212835.... Find 2020th digit. A) 1 В 3 C 5 D 8

A: Given:- Multiples of 7 are written next to each other 714212835.... Find 2020th digit.

Q: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and clim...

A: Given query is to find the linear relationship and the height of the plane at x = 18.

Q: C. . Solve the initial value problem: 2xydx + (2y2 – 3x²)dy; y(0) = –1.

A: C is homogeneous Differential equation