Find the limit times x-6- (x-6) 2

Q: -9. Sohe DE dy + (²) y = 6x³ tso a b. by² = x² +6 t C. c. t^²y = t³xc d. by ≤ b ² + c 46

A: To solve the following differential equation DE.dydx+2xy=6x3

Q: Differentiate. Don't simplify. 17. f(x) = sin 3x 18. g(x) = (sin 3x)³ 19. h(x) = (sin 3x)³ + 5x…

A:

Q: Determine the parametric equations of the plane containing points P(2, -3, 4) and the y-axis.

A:

Q: c) h(t): 5t e (t² + 1)^

A:

Q: Do the points (4, 3, −4), (4, 1, −1), and (4, 9, −13) lie on the same line?

A:

Q: Given the demand equation p + = 16, where p represents the price in dollars and x the number of…

A:

Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

A:

Q: What is the final answer here. Please write the letter.

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: For the constant numbers a and b, use the substitution a = a cos² u + b sin² u, for 0 <u<, to show…

A: Given data:- x=acos2u+bsin2u ∫dxx-ab-x=2arctanx-ab-x+c

Q: 4 2 -2 P' 2 4 6 8 10 12 14 t (a) Calculate P'(8) and interpret that terms of the deer population.…

A: This is a problem related to derivative graph function. Please follow the procedure given below. As…

Q: Problem 2. where Use a property of Definite Integrals from to evaluate the integral f(x) = • 27 [²**…

A: Break the integral according to limits.

Q: P(w)=2w^2 -w +4 /√w *Differentiate the function

A:

Q: Find the values that satisfy each variable through the Gaussian or Gaussian Jordan Elimination…

A: We have to find the values using Gaussian or Gauss Jordan Elimination Method.

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h ƒ(a) = a² − 4a +6 O4a-2 O2(a+2) O None of the Choices O2(2a-1)…

A: Given function:- fa=a2-4a+6

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: Suppose f(x)=4/x-2, f'(5)= ____ Use this to find the equation of the tangent line to the curve…

A: Suppose f(x)=4/x-2,   f'(5)= ____   Use this to find the equation of the tangent line to the curve…

Q: solve  log10(x+3)-log10 X =1

A:

Q: Sketch two periods of the graph for the following function. x + π) TU m(x) = 2 csc -X 3

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = = 4. 44 x+y+z-35 =…

A:

Q: Solve for the unknown/s. 1. A particle moves horizontally according to the laws the laws--12r+1.…

A: Topic:- application of derivatives   Note:- as per our guideline if more than one question uploaded…

Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

A:

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

A:

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 1.…

A: Given y=x3x-14 and point 2,8

Q: A right circular cone with radius r and slant height / has surface area given by A = nr² + nrl. When…

A:

Q: Find f''(x). f(x) = (x² + 2) f''(x) =

A:

Q: Use the function and the accompanying figure to answer the following questions. a. Is f defined at x…

A:

Q: Given: f(x) = 2x² O 0 (E) 2 1 3x + 1 and g(x)=√x+6. Find the limit: lim, 4 g (f (x)]

A: Given: fx=2x2-3x+1 and gx=x+63   To calculate the limit: limx→4gfx.

Q: Solve the equation xy dx - (x + lint: Homogeneous Equation

A: Given differential equation xydx-(x+2y)2dy=0 Which can be rewritten as  dydx=xy(x+2y)2 or…

Q: f(x)=√√(ax + b), find f(4)(x).

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function :- y=4x-32x+15

Q: Find an equation of the line containing the given points. Use function notation to write the…

A: Find an equation of the line containing the given points. Use function notation to write the…

Q: In the following Differential Equations, test for exactness and determine the solution of each: 1.…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Solution

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

A:

Q: General Direction: • Evaluate the limit of the following transcendental functions using TABLE OF…

A:

Q: 5. Evaluate the higher-order derivatives. If f (x) = x6 - 8x4 + 7x, find f "(1).

A:

Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

A:

Q: Derive the following functions x-2 3x-4 44. y=- 5-x 4-2x 46. y=-

A: Understanding of rational function is required in order to solve these questions. Rational function…

Q: Obtain the particular solution of (3x² - 2y2)y' = 2xy when x = 0 and y = -1. Hint: Homogeneous…

A: Given

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: Əf Əf Find and дх ду 2 f(x,y) = √x² + 3y2

A:

Q: 0 -2 ex+1 dx 7- ex+1

A: Given query is to find the value of the integral.

Q: 3. (y²-2xy +6x) dx- (x²-2xy +2)dy=0

A:

Q: [We dx = + C

A: