21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -1 22 +C 3 b. cosh d. sinh- 2x2 +C 3

Q: Suppose f(x)=-3x2+2x+2 and a position of particle is moving by s(t) at time t such that: a)Find po...

A:

Q: ax ve

A: To evaluate: I=∫dxex...(1)

Q: Determine the area that is inside both r=3+2sinθ and r=2

A:

Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

A:

Q: Let f(r) 13 + 62 . Then for r <- f() 3 %3D The left-hand derivative of f(r) at z is The right-hand d...

A: The given function,    f(x)=3+6x

Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

A:

Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

A:

Q: В. up to 6 decimal place. Then, answer the corresponding question in each number. Evaluate the follo...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Please answer. Numbers, holes, and shaded circles should be clearly seen. For each specified discon...

A:

Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

A:

Q: dy at the given point. dx Calculate – T T sin² (-5y) = x + y. (2) 4 4 (Give an exact answer. Use sym...

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:  

Q: 1 =dx x+v cos(2x) > [1] S > [2] S dx sinx+cosx

A:

Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...

A:

Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its asy...

A:

Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: dy = ay + b whose dt Write down a differential equation of the form 3 as t → o. 4 solutions all appr...

A:

Q: da (cos ( 3x) sin( 2æ)) dæ

A:

Q: y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0 solve using homogeneous equations

A:

Q: -x? + 5x + 14 Evaluate lim x--2 -5x2 – 2x + 16 Submit an exact answer. Provide your answer below:

A:

Q: Question 8 Evaluate dx A © VF-Vi+c

A: Given :∫3x2-2xdx

Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: What is the general solution to the differential equation x = x +y?

A:

Q: asider the function f(x) = e" on [0, 2), %3D

A:

Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of variat...

A:

Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

A:

Q: Find B and τ for the space curve below.

A:

Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

A:

Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: Ve dx

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do the...

A:

Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2. Provid...

A: We are asked to evaluate the limit.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

A:

Q: Instruction: Solve the following indefinite integrals. Show complete solutions.

A: Question no. 11,Given,            ∫xsec1+x2dx

Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: Given f(x) = 3 – x', use a table to estimate the slope of the tangent line to f at the point P(-2, 1...

A: Given :- Given f(x) = 3-x³, use a table to estimate the slope of the tangent line to f at the point ...

Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

A:

Q: Evaluate f w?sin(10w)dw using integration by parts W

A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 2n2 + 9n + 5 an ...

A:

Q: R has degree 4 and zeros 3 − 5i and 3, with 3 a zero of multiplicity 2.

A:

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

A:

Q: This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercia...

A:

Q: Evaluate the following limits. (b) lim v9r² – 5x + 3x

A:

Q: [1] S dx x+Vx

A:

Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If w...

Q: dx V4x – x2

A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=...