Evaluate the integral and choose the correct answer. Sin In x dx

Q: Express -2√3 - 2i in the form ree with 0 ≤ 0 < 2π. O 4ei O 4e¹ 4ei 5m 4e 6 11 m 4e 6 2

A:

Q: sinx cosx 4 + sin¹ x X dx

A:

Q: Evaluate the line integral [21r²yzds with respect to s along the 2 curve C : x = t₁ y = t², z =…

A:

Q: to find all the second order partial derivatives of the given function. The function is f(x, y) =…

A:

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

A:

Q: If the following equality is known to be true: -Ax + B x²2x-3 5 dx = -= √, ²2²3 - 2²/₁1 x - x + What…

A: Given data:- ∫-Ax+Bx2-2x-3dx=∫2x-3-5x+1dx

Q: nsider the function f(x) = 6√√x +9 on the interval [1, 8]. Find the average or mean slope of the…

A: We have to solve the question for finding the slope

Q: ground is given by the function s(t) = - 16t² + 47. Round values below to 3 decimal places. How long…

A: Please refer to the image below

Q: help

A:

Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: 23. The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y. O…

A: Given that the distance from a point 2,y to the line 4x+3y=0 isequal to 5. We need to find the value…

Q: h of the following numbers is the radius of convergence of the p xn n •2 (7· (~^)")² ? n! n=1 5 e √5…

A:

Q: 2. Find from first principle the derivative with respect to x of the function f(x)= Inx.

A:

Q: Answer is wrong

A: Note: Since, the unit of the radius is not given, we have assumed that the unit of the radius of the…

Q: 3. I Find all eigenvalues and eigenvectors of: [100] 4-6 A = 0 0 2 0 2 0

A: We have to find eigen values and vector

Q: '() = xp (x-₂x) + xp (x + xx7)

A:

Q: 2π 21/17 10 Th 7/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

A:

Q: 10) Let g(x) = f(t)dt, where y = f(t) is the function whose graph is given below. Find g(2), g(3),…

A:

Q: 2.j -dx 2x2 x-1

A:

Q: 1. √x+2 dx X+1

A: Hi learner, we can answer the very first question as per the honor policy. Please resubmit other…

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Find r'(t). NOTE: Enter your answer in terms of i, j, and k. r'(t) r(t) = (tan−¹(5t))i+t cos(t)j —…

A:

Q: 1. A) Express 0 1 4 1+x dx as a power series.

A:

Q: Given the following differential equation: y' − 2y = (e^3x)/((e^x) + 1) and the following boundary…

A: Given the following differential equation: y' − 2y = (e^3x)/((e^x) + 1)

Q: √64-² S.S. - In (x² + y² + 1) dx dy = ₁₂ dr dr de

A:

Q: The system x' = cos(t)x+ sin(t)y y' = cos(t)x - sin(t)y is linear.

A:

Q: 1 1+exte -X dx

A: Yo evaluate the integral.

Q: Consider the function f(x) 12x5 + 45x4 - 80x³ +3. f(x) has inflection points at (reading from left…

A:

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 1. Find f′ and f′′.…

A:

Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The objective of the question is determine the second solution of the given differential equation.

Q: Which of the following functions are solutions of the differential equation y' - 5y = 0? O y = 2e5a…

A: The given differential equation can be solved by using variable - separable method.

Q: Which of the following equations is/are exact? □ 3x²y² dx + (2x³y + 4y³) dy = 0 (3x²y-x²) dx + e³ dy…

A:

Q: 4. I Find the general solution of the given system: dx1 dt dx2 dt = 7x1 +4x₂2 =-3x1-x2

A:

Q: Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx…

A:

Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 4 In the following differential equations, test for exactness and determine the solution of each: 1.…

A:

Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

A: Please see the below pictures for detailed solution.

Q: ล. b. TM8 M8 n=1 n=1 (−1)n-1(x - 1)n n2n n! (x − 3)” 272

A:

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

A:

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: Express the complex number, 1 + ¿, in the form re¹ with 0≤0 < 2π. O √2e O √žeti ○ 2e Ti O eti O 2e7¹…

A:

Q: 5. Solve the differential equation dy 4t dt y² + t²y² = subject to the initial condition y(0)=2.

A:

Q: [xcsc (y/x) - y]dx + xdy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: The given differential equation is; [xcsc (y/x) - y]dx + xdy = 0

Q: Use linear approximation, i.e. the tangent line, to approximate √49.4 as follows: Let f(x)=√x. Find…

A: For function, f  the linear approximation at a is given by L(x)=f(a)+f'(a)(x-a)   ...............(1)…

Q: Use integration by parts and find the indefinite integral f(x+2)e dr

A:

Q: n=1 3+2n-1 4n

A: Topic- sum of a geometric series S∞=a1-ra=first termr=common ratio

Q: The power series xn What is the power n! series representation of e(-²) ? ex is n=0 n=0 n=0 None of…

A:

Q: At what time between 4 and 5 o'clock will the hands of the clock be opposite each other?

A: We have to solve given Questions.