5. fxe-x² dx u du = 6.f x²ex dx du = 7.fdx du & f(1 + e²) ³dx 8. U= du= answer: answer: answer: answer:

Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

A:

Q: R: y² = 4x, y = 4, y -axis

A:

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

A:

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. 1/2 dy+y3/2= 1, y(0) = 16 dx

A:

Q: Find the inverse function of f(x) = √x −2+7. Specify the domain for f-¹(x) ƒ−¹(x) = (x − 7)² +2 -…

A:

Q: Area of a circle 2. Use definite integration to show that the area enclosed by a circle of radius 1…

A: The equation of a circle of radius 1  is:x2+y2=1

Q: 4. Use Trigonometric substitution method to evaluate the integral: dx

A:

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

A:

Q: 2 Express (5+1)² in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O…

A:

Q: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

A: Let A = {1,3,4,9,10}, B = {1,2,8,10}. Determine (A ∖ B) ∪ (B ∖ A).

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

A:

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

A:

Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

A:

Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

A:

Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

A:

Q: Multiply the following fractions using the array model method described in the video lesson. Make…

A: First we will understand the process and then solve it.

Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: C. 1:4 During a 200 metres race an athlete passed through the 30m point at the 12th minute. What was…

A:

Q: Find the general solution of the given differential equation. xdy + 3y = x³ - x dx y = Give the…

A:

Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

Q: Q6/(A)Evalute √2² £2ª ex² dxdy.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: [ (cosx+2sinx) COSX dx

A:

Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

A:

Q: Z Z 2 J 0 iei(n+1)0 de

A:

Q: Differentiate. G(x) = (2x² + 7) (9x+√x) G'(x) =

A:

Q: he volume bounded by the function_z = f(x, y) = xy√x² - y² <10 and 0≤ y ≤8. over

A:

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

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

Q: 5. Evaluate each geometric series or state that it diverges. (a) [2(-6)-k k=0

A:

Q: 17. A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the…

A:

Q: A function f and a point P are given. Let correspond to the direction of the directional derivative.…

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

Q: a) Find the growth rate. The growth rate is b) Find the population after 9 yr. The population is…

A: The population p of a small city is given. We have to find the growth rate of population.

Q: Calculus I Find the second derivative.

A:

Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

A:

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

A:

Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

A:

Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

A:

Q: Find f′(x), if f(x)=(x4+1)(3x−1).

A:

Q: ---(1) (y-2)² + (x - 1)² - 9 ---(2) 3. 16 = x² + y²

A: use for quadratic equation   a x2+bx+c=0x=-b±b2-4ac2a and -1  = i

Q: Solve for GS/PS for the following differential equations. Write neatly and legibly and upload your…

A:

Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 6 cos(t)i…

A:

Q: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

A:

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 1 the polor integral…

A:

Q: Put the following functions in order of smallest minimum value to largest minimum value. f(x) = (x +…

A: We have given functions f(x), g(x) and h(x)We need to arrange these function in order to smalles to…

Q: Which of the following graphs represents the function g(x) = x(x + 1)²(x − 2)? g(x) 4 4 3 g(x) 4 3 O…

A:

Q: 28) Find the GCF and LCM for 23 313 532 and 25 323 513

A: