dx S. 2x - 1 e

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

A:

Q: a If f is an odd function, why is f(x) dx = 0? a U A. a Since f is odd, f is symmetric about the…

A:

Q: 7. Evaluate [(5+e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a

A: Given: ∫ 5+exdx

Q: o find tono if cus0=and on t <0. B)- c) -SI7 DST5

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: b) sin(xy) = sin(x) + sin(y)

A:

Q: x2-16 x - 16 Let f(x) = (a) Calculate f(x) for each value of x in the following table. (b) Make a…

A: This question can be solved using the concept of limits.

Q: The eraph of a function is given. Use the graph to find the indicated limit and function value, or…

A: (a)limx→1f(x)=-3becauseleft hand limit=right hand limitlimx→1-f(x)= limx→1+f(x)=-3

Q: Find the length of the indicated portion of the trajectory. r(t) = (1+2t)i + (1+8t)j + (4 – 4t)k, –…

A:

Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: dy a. Use implicit differentiation to find dx dy %3D dx b. Find the slope of the curve at the given…

A:

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

A:

Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: This question can be solved using the concept of function.

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: 3 cSC x cot x dx

A:

Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: 3u' = - 3x + 5y Solve the system of differential equations x' 2х + Оy l y' = 3x + 5y - x(0) = 3,…

A: We solve here given differential equations and find the value X(t) and Y(t).     Here i attached the…

Q: 3) i.- Given the IVP: y" +3y-4y = 20, y(0) = 0, y (0) = -5. %3D %3D | A) Use the Laplace transform…

A:

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

A:

Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

A:

Q: (с) (2x3 + у) dx — x dy %3D0..... [EXACT DE]

A:

Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: Evalute The Line integral of The Fiel f=xi+zj+yK o ver The helix rz cost i +sintjt tK for osts I

A:

Q: The following statement is correct: cos y . sin x •1 cos y . sin x - dx dy. x3 dydx = [* ' ery exy…

A:

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: tan(1 – x) 2 limx→1 2x +x – 3

A:

Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

A:

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u- 2j, v = 9i - 4j…

A:

Q: Let f(æ) = (4sin æ + 2 cos a)arctan e f' (2) =

A:

Q: arctan x dx

A:

Q: : Solution of ydx – xdy + (1+ x2)dx + x2sinydy = 0 is

A:

Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a particular question. This…

Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x2 -9 a. lim f(x) b. lim…

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A:

Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: Problem 2 Solve and specify method used. х dy — у dx y2 x3 dx

A:

Q: Problem 5 Solve (y')? + 2 y' – 3

A: We need to solve D.E.

Q: Question 25 Find the standard form of the equation of the parabola using the information given.…

A:

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

A:

Q: P5: 4 – 9x²dx

A:

Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

A:

Q: 2. Which of the following is the process of finding the antiderivative of a function? A) Limits B)…

A: Topic:- integration

Q: x + 4 (x + 3)(x + 1)(x² – 4) -

A:

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A:

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: