S sec°x tanºx dx

Q: Q2 Find the limits 1- lim h +h cosh thcosh Sinh.cosh J4ズ メラ 2x-8

A:

Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

A:

Q: Evaluate the triple integral xyz dV, хуz R

A: Follow the procedure given below.

Q: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

Q: 1. Find the indicated limit or state that is does not exist lim (3x'y- xy³) а. (x,y)→(1,3) b.…

A:

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: 2x + 1 -dx (Зх -1) (г2 + 2х + 2) Evaluate: F (x) = 2 In (|3.x – 1|) – In (æ² + 2x + 2) - 4 arctan (x…

A: A detailed solution is given below

Q: Brd Derivative OF y=-Jin3x

A:

Q: characters. * Determine the slope of the tangent to the curve y - 3xy +2x = 4 at the point (3, 2).…

A:

Q: Q3 Find y ン ニ月(^)→ t(メッ) tanx 2 y-(1+x)

A:

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: 20х* 5. (25-16х"°

A:

Q: The auxiliary equation of the DE: -6 y"" -4 y" + -2 y=D0 is -6 m3-4 m2 +-2 0. Select one: O True O…

A:

Q: !. Find the numbers, if any, where the function f(x) is discontinuous. Explain your answer. x + 1…

A:

Q: 1 In solving the antiderivative of f(x) = 3sin(x) + 4cos(x)+ 5 by miscellaneous substitution, the…

A:

Q: Find the value of A which is defined as the angle between i+j and j+ k.

A:

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: In x2/25+ x² dx , we let x= 5sine. T True F False

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

A:

Q: Q3) Evaluate triple integral y(x2 -y?)dz dx dy.

A:

Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

A:

Q: [a, b, ci] [a2 b2 c2] A, = [d2 e2 2] a3 bz C3 Az = \ds es fal If A, = and are any 2 x 3 matrices,…

A: Here we have to prove the given operations.

Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

A:

Q: In x²/25+ x² dx , we let x=5sine. A True

A:

Q: O Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2, y =

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A: Follow the procedure given below.

Q: Find h'(x) if h(x) = x³e*sin x. O a. h'(x) = 3xe*sin x + x'e*sin x + x'e*cos x 3X, O b.h'(x) =…

A:

Q: Which of the following is the Taylor series expansion of the function -x2 with center at 0. f (x)=e…

A: Given problem:-

Q: (a) Show that the integral test applies, and use the integral test to determine whether the series…

A:

Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

A:

Q: u+v+w=0ad u =3, v=5, w = 7 then he angle between y and y is 0 2r 6. 0 5m ONone of the choices 11

A:

Q: Find the absolute extrema of the function f(x) =(x+1)* in [-2,1], if there is any.

A:

Q: d d. Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product…

A:

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: QI) Evaluate the integral dx dy using polar coordinate

A: Solving

Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

A:

Q: Question 13 - [x²/25+ x²dx , we let x= 5sine. (T True F False

A: We have to find integration

Q: 1. S(Hx@ - 2x) dx 2.s (x" - 3X?) dx 3. S( 5xV - xo t 4x - 2) dx 4. GRND 5. dx

A: Find your answer below

Q: b + c =? с — 2а 4a = 3b, 5b = 3c =

A:

Q: x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

A: We have to find the limit by two ways method

Q: Consider the series 0 n=1 2+n3 For what values of p does it converge? I. p> 1/2 II. p< 2 O l only O…

A:

Q: Consider ,- (x3+y²). Evaluate dx² O (9x4+6x)e «³+y?) O (6r²+ 3x)e (x³+y?) O (6x4+9x)e (x³+y?) O…

A: I have stated the used formulas in the solution

Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: e auxiliary equation of the DE: sy"-4 y"+ -2 y=0 is s m3-4 m2+-2 =0. Lect one: True False

A: We have to choose the correct option from the given options

Q: Consider the series 5 + 9 + 13 + How many terms does it take for the sum to be 860? O 21 O 20 O 19 O…

A:

Q: Q3) Evaluate triple integral Lyx -y)dz dy dx.

A: Topic = Integration

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

A:

Q: Check the continuity of the function f(x). Explain why f(x) is continuous or not. x+1 =,x x2X > 1

A: