dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

Q: Calculate a and b such that v = au + bw if u = , w = and v = .

A:

Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

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

A: For the following problem,

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

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: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: (b) If u = x? cos y+ye», where x= s+2t and y = st, prove that ди 2- ди = (s – 21) (x² sin y – xye" –...

A:

Q: 10. There is a jump discontinuity at x = 1 and lim f(x) = 1 x →1-

A: There is a jump discontinuous at x=1 and limx→1-f(x)=1

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: Problem 3 Use integration by parts to prove the following reduction formula where n> 2. 1 | sin" (x)...

A: Given problem:-  

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

A:

Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² – 2...

A: Given problem:-

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: 3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1...

A: (a) From given table

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: dx xVx2/3-7 XVX

A: Given that: ∫dxxx2/3-7

Q: Ek=1(-1)k-1_7 9k-1 Determine whether the series converges and if so, find its sum. O 1/2 63/8 63/10 ...

A:

Q: dx =(x²yeº- 3xy²) dy |

A:

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The ...

Q: Sec o

A: The solution is given in the next step.

Q: e the differential equatons 2x + X dx I+ x²y2 I+ (xy)2/ ay dy

A:

Q: Set up the definite integral that gives the area of the region. Y1 = x2 – 5x Y2 = 0 dx 3 * 4 6 12, -...

A: Area of the Region bounded by the curves :If f(x) and g(x) are two continuous function on a,b and f(...

Q: 용 -6 -5 -3 -2 3 6 -2 -4 -5- -6 -7 lim f(x) = Enter the limit. If the limit is o, enter oo. If the li...

A: Topic:- limits   

Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A:

Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

A:

Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

A:

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

A:

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

A:

Q: 구 6 -4 -8 -7 -6 -4 -3 -2 2 3 6. -2 -3- -4 -5- -6 -7- -8+ lim f(x) = x→ - 3+ Enter the limit. If the ...

A: Topic:-  limits   

Q: 2 sec wdw a) 1

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

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

A:

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

A:

Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

A:

Q: Find the solution to the quadratic equation. (a) a - 4x + 1 = 0 (complete the square) (b) (3x – 1)2 ...

A: We complete the squares of given quadratic equations and solve for x  When take the square root on b...

Q: T/2 cos t dt 1 + sin²t

A:

Q: 2. у - 4x(2y -у) – y) %3D

A:

Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

Q: ∫ tdt/t^4+64

A: the given integral,     ∫t dtt4+64

Q: 11. True or False Every relation is a function. 12. True or False The domain of (f·g) (x) consists o...

A: 11. Every relation can not be function because for relation there is only one image of input X but s...

Q: Find the area between y=2sin⁡x and y=3cos⁡x over the interval [0,π]. Sketch the curves if necessary.

A:

Q: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter wi...

A: Solution of the problem as follows

Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

A:

Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: (x+1)(x³-2x²-x+2)*/x*(x8=4x++4)² dx equals x2-x-2

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: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4...

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are ...