Evaluate: lim (1+sin 4x)cot ¤ x→0+

Q: 4 2 -3 -2 -1 1 2 (b) Find the exact values of the numbers c that satisfy the conclusion of the Mean…

A: Let's find

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

A:

Q: 4. csc 2x lx

A: The integration of the integral is csc3(2x).

Q: dy Use Picard's method to solve dx -xy, y (0) = 1 Find y3(1)?

A: Given :dydx=-xy =f(x,y)y(0)=1

Q: 8. To find the derivative of y = cot* (2x), which of the following is the appropriate value of u? A)…

A:

Q: 8 12 Vi VF dt 2.

A:

Q: 2. Evaluate: | V12 – x|+x dx

A:

Q: . Find dy for each of the following: dx 2-x? a) y = ln- 1+x b) y = Vx+e-x c) y = 52x+3

A:

Q: ACTIVITY 1: Determine if the following functions are continuous at the given value of x. If the…

A:

Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

A:

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: correct

A: We will find the points.

Q: 19. For the following function f (x) 3x-4 %3D find any x-intercepts, y-intercepts, and equations of…

A:

Q: Find f'(x). Given: f (x) = 5xv3x² – 4

A:

Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

A:

Q: 4. (a) (i) Calculate (4 + 10i)?. Answer:

A:

Q: The area between the curves f(x)= x^2,and g(x)=1 1/2 1/4 O 4/3 O 1/3

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

A:

Q: 4. General solution of (y2 + xy) dx – x² dy = 0 %3D

A:

Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

A:

Q: f(X) ex finathe cn'nical numbers of f O de remine whethereacn is a1ocaimaximum, 1ocalminiumum…

A: Critical points

Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

A:

Q: solve

A:

Q: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

A:

Q: 5. Solve the equation: (D² – 3D + 2) y = 2x² + 1 O y = cje + cze² + 4x + 3x2 + x O y = cje* + cze2x…

A:

Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

A:

Q: The volume for solid of revolution between the curves y = v(49- x^2) and y = 0 around the x - axis…

A: Let's find volume of solid of given curves.

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: -2 2 7e" + dy -5

A:

Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

A:

Q: Suppose f(x, y) = xy² + 4. Compute the following values:

A:

Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

Q: Solve the following problems. Write the correct unit and box your final answer. Topic: Applications…

A:

Q: Exercise 195 Further problems on Leibniz's theorem 7. Given 2x2y" + xy' +3y = 0 show that 2x2y(+2) +…

A:

Q: 3. Solve the equation: (Dª – 1) y = 0

A:

Q: 2x (x – 3)2 A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6 A = - 2, B = - 6 A = - 2, B = 6 None of the…

A:

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

A:

Q: 8. If y = (x* +2x²)e2* determine an expansion for y(5). %3D [y(5) = e2x24(2x³ + 19x² + 50x + 35)]

A:

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

A:

Q: What is the definite integral representing the area of the given region below? A. A= (1,1) В. А-D…

A: Area of a region bounded by two curves y=f(x) and y=g(x) is given by, A=∫ab |f(x)-g(x)|dx where a,b…

Q: 1) Find the Taylor series for f(x) = In x centered at 3. Show All Your Work.

A:

Q: Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz +  tan x  +  y sin z…

A: Given problem:- Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz + tan x…

Q: sec =zydy

A: Given

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0

A:

Q: Let y = tan find the differential dy of the function.

A:

Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

A:

Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

A: