5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

Q: 1-cos2 x 6. lim x-0 9x

A: To find the limit values: limx→01-cos2x9x

Q: (I'o67 =7 %3D 2. of

A:

Q: Differentiate the following function. 1 v = t8 - %3D v' =

A: We have to find derivative

Q: 2. (a) Show that when x > 1, In(x) (This should be very short.) (b) Use your knowledge of integrals ...

A: We have to show below given expression 

Q: Calculate the absolute and relative errors in the expression: a 2b – 2cb +, if the measurement of a ...

A: The given expression is: 2b-2cb+ab

Q: Use a calculator to solve the following equation for θ on the interval [0,π]. cos(θ)=−15

A:

Q: Solve the equation. |4 - 2x| - 5 = 5 Select the correct choice below and, if necessary, fill in the ...

A: Given :- |4 - 2x| - 5 = 5 |4 - 2x| = 10 For The Negative Case : - (4 - 2x) = 10 2x - 4 = 10 2x = 14 ...

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

A: Let's find. 

Q: Exercise #2: Consider the function |3r - 4 I 2 Explain why this function is continuous everywhere. T...

A: Topic:- calculus

Q: Consider a function x-1 if x 1 (a) Find lim f (x) if it exists. If it doesn't exist, explain why. (...

A:

Q: Evaluate the following integral using a trigonometric substitution. - 0.1 dx 64 – 4x² Round your ans...

A: Our Aim is to evaluate the following integral using a trigonometric substitution which is given belo...

Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

A:

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

A:

Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

A:

Q: За + 25 — 5 Evaluate the limit: lim

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

Q: 5. Let L and Q be lines in R³ given by the equations below. Line L:y +t-3 日- 3 Line Q : -13 +r |3 13...

A:

Q: dz dz Use the chain rule to find and as at arcsin(x – y), x = s² + t², y = 4 – 9st Z = az as az at

A:

Q: 5. (1- x)"dr+ j*+x{1-x)*]dy = 0when x=2 nd y=l 6. yd-xy=y*ty

A:

Q: Compute the value of the improper integral. (If the integral diverges to oo, type.oo; if the integra...

A: We will find the series is converge or diverge using the integral test.Below find the solution in th...

Q: SEvaluate the limit by rationalizing the numerator. V4+t- V4-t lim t>0 3 (b) lim | t 9+t

A: Given that some limit problem and we solve this problem by using general property of limit.     Here...

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

A:

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

A:

Q: An object is moving in the clockwise direction around the unit circle x + y- 1 As it passes v2 v2 th...

A: Given:      x2 + y2 = 1  Point: ( √2/2 , √2/2 )   dy/dt = -4

Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

A:

Q: Determine whether the series converges. 17 19k k=1 The series

A: ∑k=1∞1719k consider f(x)=1719kuse integral testlima→∞∫1a1719xdxThen∫1a1719xdx=1719∫1a1xdx1719(ln(a)-...

Q: Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find...

A: We know for a geometric sequence with first term a0 and common ratio r, the nth term an is given by,...

Q: (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first b...

A: Follow the procedure given below.

Q: 12- Evaluate S (x2 + y? + z?) dV where B is a ball with center the origin and radius 5. B

A:

Q: 1+2x (b) g(x) = 3-x

A: The given function is: g(x)=1+2x3-x To find its derivative using the limit definition which is: f'(x...

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

A:

Q: 9. y'+ 2x y = x e*2 subject to IC: y(0) = - 1 10. (x + 1) y' + y = In x subject to IC: y(1) = 0

A:

Q: e equation below gives the posltion s=(1) of a body IIne (S in meters, tin seci ius). the body S vel...

A: Topic:- application of derivatives

Q: Using algebra, describe in two or more complete sentences how to determine if the function f(x)=3sin...

A: Given that: f(x)=3sinx

Q: Suppose an object moves along the y axis so that its location is y f(x)=x² + x at time x (y (A) The ...

A: Given: - The object moves along the y-axis so that its location is y=f(x)=x2+x at time x(y is in met...

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

A: leta1=2-8=1+1-1+7a2=3-9=2+1-2+7

Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx A...

A:

Q: Find the area of the surface generated by revolving the given curve about the yy-axis. x=2√(5-y),−1...

A:

Q: f(t) = 16t2 + 330t + 6. %3D ... What is the height of the ball at 4.6 seconds? ft.

A: SOLUTION-

Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: The demand function for a company's product is p = 24e-0.39 where g is measured in thousands of unit...

A: Given query is to find cost per unit for the first part and the unit sold for the second part.

Q: 1. To two decimal places, find the value of k that will make the function f(x) continuous everywhere...

A: Given problem:-

Q: Find a parametric equation for the line through the point (6,4,1) and in the direction of ai +bj +ck...

A: P

Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

A:

Q: Whwh f fellawy vectors vckars 18 fare nt popondialar ro i 225,1,27 i <-1,5,07 Pick that apply IA-21 ...

A:

Q: Consider the sequence (") an = In ((n + 1)41 240 This sequence is not monotone for all n. Determine ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: x-2| Find lim x2 x-2

A:

Q: Find the slope of the tangent line to the curve la? + 4xy + 2y 32 at the point (- 4, 2). -

A:

Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: |(sin? x)e* dx

A: This question is related to improper integration. Solve im step2.

Q: 5. Find the domain (D), all asymptotes (VA, HA, or OA), and the holes (if any) on the graph of each ...

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take deno...