Integrate by part S 1 xe-2x dx

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on t -10x2 - 3 12) f(x)…

A: Explanation of the answer is as follows

Q: a = 1, a + 0: The product of a nonzero real number and its multiplicative. multiplicative . is the

A: According to the Multiplicative Inverse Property, The product of a non-zero number with its…

Q: how do I post the second part?

A: Solution

Q: 3. (6x + y²)dx + y(2x - 3y)dy = 0

A:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A:

Q: 27x³y6z¹2) 3/ 12-

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

Q: 2. Use the given graph of the function to find the function information. a. Intercepts: b. Vertex:…

A: Given query is to find the characteristics of the parabola.

Q: What is the integral of csc3xcot2x dx?

A:

Q: A tank contains 2240 L of pure water. A solution that contains 0.07 kg of sugar per liter enters a…

A: Given initial amount of water in tank is v(0) = 2240 L Let v is volume in L, x is amount of sugar in…

Q: Write an equation for the conic centered at the origin with a vertical major axis of length 10 and e…

A:

Q: Find the derivatives a) f(x)=√x+1 b) f(x)=sin(x+3) at a=0 c) f(x) = == X x+1 of the following…

A:

Q: Vectors Describe vectors b and c in terms of vector a: b = X a 4 CN C=

A: Solution: Let each square of a graph is 1 unit Length of vector a is 8 units Length of vector b is 2…

Q: Evaluate the following limit: lim, 2 (2 6²5-6 2y³-5y³+5y-6 1/3 7/9 00 -2/5

A: L'Hopital's rule is used

Q: Question 25 Given the function: f(x) = O a= =7,6=3 O None of the choices O a=-3, b= O a = 3, b=²…

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

Q: 1. y = 4x+Czxe *

A:

Q: 4. Given that h(x) = f(g(x)) find h'(3) if g(3) = 4, g' (3) = 5, f(4) = 9, and f'(4) = 10. 5. Let…

A:

Q: 4. Find the largest possible value for the rank of A and the smallest possible value for the nullity…

A: I have appended the formula used in the solution part of the question

Q: Consider the equation y" - 36y = 6 cos (6t) + 6 + e6t. According to the method of Undetermined…

A: Please see the below picture for detailed solution.

Q: 22. (e¹ + y) dx + (2 + x + ye³) dy = 0, y(0) = 1

A: Given ex+ydx+2+x+yeydy=0 and y0=1

Q: Problem 1. Σko(-1)*(R) Compute

A:

Q: Variables

A:

Q: Use the Chain Rule to compute the partial derivative. ə -In (6u² + uv) = 0 du

A: To evaluate: ∂∂uln6u2+uv According to chain rule : If y = f(g(x)), then y’ = f'(g(x)).g'(x)

Q: 4. y = ln 5. y = (x²+3)² x³√√x²+1 e3x ex +1 (use property of logarithms)

A: Given; 4) y=ln [(x2+3)2/x3sqrt(x2+1)] 5)y=e3x/(ex+1).

Q: Determine whether the following functions are continuous at a. Use the continuity checklist to…

A: Given function: f(x)=2x2+3x+1x2+5x a=5

Q: Express the solution of the given initial value problem in terms of a convolution where g(t) is an…

A: Given IVP y''+y'+54y=g(t), y(0)=4  , y'(0)=-2

Q: Find an equation of the line that satisfies the given conditions. Through (1, −9); parallel to the…

A:

Q: Compute the first-order partial derivatives of the function. 16x √x² + y² (Use symbolic notation and…

A: Given, z=16xx2+y2

Q: If y is a function of x such that y'>0 and y">0 for all x. Which of the following could be part of…

A: Given,        It is given that y'> 0 for all x and       y''>0 for all x.

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Detailed solution is given

Q: Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in…

A:

Q: If f(x) f"(0) = (4x + 1)³, compute the second derivative f"(x) at x = 0. Your answer cannot be…

A:

Q: Solve the ff. Linear Equation: c. 2 2x³y = y(y² + 3x²)

A: We have to solve this given Bernouli's Differential Equation.

Q: Evaluate the integral. 82 (x - 1)(x² +81) dx

A:

Q: Determine: d dr T√T 2-5 JF-1 x (+15) √1-² (²-5) ²+15 E (2²-5) 2 2av² ²-5 z²+15 (2²-5)² 2

A:

Q: find the distance d between the points P1 and P2.P1 = (3, - 4); P2 = (5, 4)

A: Given data:- The formula used:- P1 = (3, - 4); P2 = (5, 4) Length of the line segment joining points…

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: Given function is defined on closed interval and function is continuous and differentiable on the…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given query is to fin integral convergent or divergent.

Q: 36. y = 4x² , A costant

A:

Q: Simplify: &x + 2[5 – (x – 3)].

A: Given data:- 8x+25-(x-3)

Q: 1. Let y=f(x)= 4x² 4x + 1

A:

Q: Find the derivative of the function. f'(x) = = f(x) = 8 √x 16x5 5 + 1

A: We use d/dx(xn)= nxn-1.

Q: Evaluate the integral: x = 49 tan (0) 49 sec (0) F 0x = 30x² - dx (A) Which trig substitution is…

A:

Q: Evaluate the integral: (A) Which trig substitution 36 sec (0) X = X = 6 sec (0) X = 6 sin(0) ○x = 36…

A: The given integral is  ∫36-x24x2dx

Q: Find an equation of the line that satisfies the given conditions. Slope 4/7 ;  y-intercept 4

A:

Q: Solve the following differential equations. dy/dx + 3y/x  = 6x2 when x=1, y =0.

A:

Q: The limit  lim  x-> 0  e^x-1/x  equals a derivative f' (c), for some function f(x) and some real…

A:

Q: Question 10 The derivative of y = is? 3 0-2/2 0-23/ O None of the choices 0 2√7

A:

Q: 1. Express the given function H(x) as a composition of two functions f and g such that H(x) =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1 2 X 5 x+y 8 || 1 z 36 78

A:

Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

A: