S 2xln(1+ x)dx

Q: Q2 : Find d'y /dx? Y = xtan (=)

A:

Q: sin 0 Cos O tan 0 Csc 0 sec O

A:

Q: Let g be a function that is defined for all x, x + 2, such that g(3) = 4 and the derivative of g is ...

A:

Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

A:

Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

A:

Q: solution

A: We will find a simplified integral. 

Q: The graph of f (x) is provided below, select the approximate value for the derivative at each point....

A:

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e- 4dt A 4e' +e- ® :/ 4dt (B...

A: Consider the integral  ∫dt4et+e-t

Q: x²-2x* 5. Integrate with respect to x x4

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A:

Q: |. Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: Taylor's Series of f(x) about 'a' :     f(x) ≈ f(a) +f'(a)(x-a)+f''(a)2!(x-a)2 +f'''(a)3!(x-a)3+... ...

Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are differen...

A: Topic:- function and it's Derivatives

Q: 4.. For the differential equation y'= 2x' +5 1 a. show that y=÷x* +5x+c is the general solution. b. ...

A:

Q: Evaluate the given integral, choose the answer in the box 1/(t-1) 2x S(-1)^5(x-1) -2/(x-1)^2 2/(t-1)...

A:

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: 1) ? 65° 57°

A:

Q: 35. Tell if the following infinite series converges absolutely or 1* (-1)"? conditionally En=1 In n ...

A:

Q: cos? 2 2 dx sin -1 2

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: 27 2 1-0°ス 2n り=o

A:

Q: a) Oppositely directed to v = (1, —2) and half the length of v. w=  (b) Length and same direction a...

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (6...

A:

Q: Find the Laplace transform for the follow e-t sin t

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A:

Q: An apple farm yields an average of 38 bushels of apples per tree when 24 trees are planted on an acr...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We know that vector equation of line passing through two points r¯=a¯+λ(b-a) Here a and b are positi...

Q: 5. S(4x+ 2x 1) (12x+ 4x)dr

A:

Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 0. -1 -2 -3- -4+ i. A(2) = ii....

A: Given query is to find the value of A(2) and A'(2).

Q: Use implicit differentiation to find y' and then evaluate y' at (- 1,2). 9ху + у + 16 %3D0 y' =O y'l...

A:

Q: . Tell if the following infinite series converges absolutely (-1)**' 2 or conditionally En=1 5n

A:

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0 R(3, 5, 1). NOTE: Enter the exact answ...

A:

Q: 2.) Find the area bounded by the curves y? = 4ax and x? = 4ay %3D

A: The given question has been solved in detail. 

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

A:

Q: true or false If it is true, explain why. If it is false, provide a counterexample. a) Every decreas...

A: Question- true or false If it is true, explain why. If it is false, provide a counterexample. a) Eve...

Q: Evaluate the integral. 6 sin -1 x dx

A: Given problem:- ∫ 6sin-1(x) dx

Q: Let f(x) and g(x) be described as in the graphic below, with the red function being f(x) and the blu...

A:

Q: The graph of f' is given to the right. Determine x-values corresponding to local minima, local maxim...

A:

Q: Identify the absolute extrema of g(æ) = x² Absolute Minimum of 0 at x=0 and no Absolute Maximum Abso...

A:

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: (х-2)* Use the Ratio Test to find the real numbers x for which the series =L k° converges. (Use symb...

A: Given the series is ∑k=1∞ (x-2)kk9

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A:

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In sec²(sin...

A:

Q: Assume that f(x) and g(x) are differentiable functions with values and derivatives given in the tabl...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: n open-top cylindrical container is to have a volume 2197 cm. What dimensions (radius and height) wi...

A: Maxima

Q: Jo 17. cos² x sin? x dx

A:

Q: Find the nine roots of -256 - j256√3 Give it's exact and approximate value And graph the roots in an...

A: Given expression is: -256-j2563. We have to find nine roots of the expression.