2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A. Integration B. Optimization 4. Which of the symbols below denote the operation of antidifferentiation? C. Differentiation D. Abstraction A. (F(x) = F(x) + C B. f'(x) = F(x) + C C. Sf(x)dx F(x) %3D D. Sf(x)dx = F(x) + C %3D

Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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

Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: 5. In antidifferentiation, the formula f x" dx = (n+1) + Cis valid if? A. nER 6. In item number 5,…

A:

Q: Evaluate triple integral ſ´, S,2 ¯* dz dx dy .

A: We can solve this as follows:

Q: ralue of (2) for z= 2.36. (note: use 2 decimal places)

A:

Q: Solue D.E dy + (y cotx Sina) de = o

A: Solving

Q: (-1)" V2n² + 5 Given: power series > (x+ 1)" n=1 i. Determine if the resulting series of constant…

A:

Q: equation the particula

A:

Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

A:

Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Use the properties of logarithms to expand the following expression. log Each logarithm should…

A: This question is related to logarithmic properties, we will solve it using given information.

Q: the Q2, Find hergth of o polor Curve ア= B4 Use this formula dr de

A: Given:  The polar curve is given byr=eθ2 To Find:  To find the length of the given polar curve by…

Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: Look at the picture. The function f at the point x=0: (1) Limit exists (2) Continuous 3)…

A: A function f(x) is said to be continuous at x=0 iff limx->0 f(x)= f(0) A function f(x) is said to…

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: Using exact differential equation, determine the solution of

A:

Q: Find the derivative/s of the given item. Final answer should be simplified. dy Find dx if yvx – 8 =…

A:

Q: (2.) (1-(In))^ (3.) yn + sin ()

A:

Q: Solve for the third degree Maclaurin polynomial of f(x) = tan(3x). Use this to estimate the value of…

A:

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A: For radius and interval of convergence we will first findlimn→∞an+1an then equate it to <1 and…

Q: Determine whether the following series is convergent or divergent. Vn3 n=1

A: Given problem:-

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

A:

Q: (-1)"-1"

A:

Q: 1. Evaluatef(3x + 2)dx A. 3x2+2x + C B. 2x + 2x +C c. 2+2x + C D. x² + 2x + C

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: Given: Cn . Is the sequence {c, , convergent or divergent? tan-in

A:

Q: Determine whether the following series is convergent or divergent. (1.) 37 (use Integral Test.) n :1…

A: Solution is given below:

Q: ystem. help (numbers) 2. (See page 530 of the text.) help (formulas)

A: a) Frequency :  T1= 2π/ω =( 2×22/7) / 14 = 22/49 T2 =2π/ω = ( 2×22/7) / 20  = 22/70 T1/T2 = rational…

Q: 1.5 (3-x Evaluate the integral L* dy dx using polar coordinate

A:

Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

A:

Q: Find inside r-2 oud side r=z0s6 in find quarer. area

A:

Q: Write the partial fraction decomposition of the rational expression. Check your result…

A:

Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: Determine whether the series is convergent or divergent. En=1 (-1)"3" 2 -1 4"

A: Root Test: Suppose that we have the series ∑an. Define,  L = limn→∞|an|1n Then, If L<1 then the…

Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

A:

Q: Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

A: To evaluate the integral.

Q: ctor Calculus ints possible (ungraded) AS 2) Find the directional derivative of f(a, y, z) = x² + y…

A: Answer and explanation is given below...

Q: Answer: dy = 3yCx'ty)

A:

Q: 62" cos (2") . 6x° cos

A:

Q: 2. Use integration by parts to evaluate the following. (a) Sxtan-1x dx

A: ∫x tan-1x dxusing integration by parts∫u.v = u∫v - ∫u'∫vu =tan-1x , v= x∫tan-1x . x dx=tan-1x∫x dx -…

Q: Integral

A:

Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. X-1 A True B) False

A:

Q: Solve the D.E dy + (xy – xy²)dx = 0 %3D

A:

Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

A:

Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Use tabular method to evaluate ſ –2x³e¬5*dx

A: As per our guidelines of bartleby we are not restricted to solve only in type written mode. Even a…

Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. S(t) = t2 + 3 t".…

A: Given  Laplace transform

Q: ine whether the following series 3- Vn

A:

Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

A:

Q: etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

A: To integrate the given function.