Express C2 in the form of nCr.

Q: Find the given higher-order derivative. f(3)(x)=√x8, f(4)(x) f(4)(x) =

A: Given, f3x=x89

Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

A:

Q: Q2/Solve = (xy + 2) with boundary condition y = 0 for x = 0 by using Euler dy dx method (8 steps).…

A: We need to apply Euler method.

Q: View Policies Current Attempt in Progress Solve for t using natural logarithms. 4 = 1.97¹ Round your…

A: Solving for t

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Line…

A: Equation of tangent line parallel to given line on the function f have to find.

Q: Given the 3x3 matrix as follows: Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14), find…

A: Given; Row 1 (10,-47,62); Row 2 (-81,24,16); Row 3 (-17, 18, -14)

Q: Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3.…

A: The functions are given by fx = 6x-3 and gx = x2-8 To determine: The expression of the following…

Q: What is the rule of the inverse function of f(x) = (5/x) + 3

A:

Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

A:

Q: T 1) Evaluate the following, if it exists: lim √√√√x+x³ cos x→0

A:

Q: Find the unit tangent vector and the equations of the tangent line to the curve R(t) = (2sint, t,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Problem 1: let f(h) = 6.7 h²+ 4.92h Evaluate (2) ; r(h) =

A: Given: 1) fh=6.7h2+4.92h ; rh=295h 2) j(y)=y2  ;  py=y-128

Q: What is the 2nd derivative of x9 cos x

A: To find out the second derivative of the function.

Q: For the differential equation given below, dependent variable. L d²q dq +R- + dt2 dt 1 is the…

A: The given differential equation is: Ld2qdt2+Rdqdt+1Cq=E

Q: Find an equation of the tangent line to the graph at the given point. x²y²9x² - 4y² = 0, (4,2√3) y =…

A:

Q: 2) Graph f(x): = -3x 0 2x² + 1 if -4 -1 . Give the domain and range.

A: We have to plot graph and give domain and have to give range.

Q: Evaluate: * 1 2 گھر z² dz z²+3z +2 -блі 3лi inside the circle |z| = 4 4 3 -6 πὶ

A:

Q: olve the given differential equation x + y − 1) dx + (x-y-4) dy=0 (x + 1)² − 4(x + 1)(y-5)-2(y-5)² ©…

A:

Q: 388.636 x 10^19 simplify it according to rules of exponents; for example, use 2^2 not

A: follow the procedure given below.

Q: Q2/Solve = (xy + 2) with boundary condition y = 0 for x = 0 by using Euler dx method (8 steps). Find…

A:

Q: Please help tell me what the derivative of the following is:  4√sin x

A:

Q: Determine the value of k such that y=(1-sinx) * is a solution to 2y'=y³cosr

A:

Q: Evaluate the multiple integral [ So (1/4) y dy dr *cos(x/4) sin(x/4) Enter the numerical value…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: Solve the differential equation dy dx Give an implicit solution and use c as the constant. - y =…

A: I am attaching image so that you understand each and every step.

Q: -2 -2 y²+5 if 9(y) = {1-3y if --1 -1.04 DNE (a) lim g (2 3-6 (b) lim g lim g (y) y² +5 y+-2 lim g(y)…

A:

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

A:

Q: 3 a) The displacement (in meters) of an object moving in a straight line is give by s(t) = 1+2t…

A: Given The displacement of an object  st=1+2t+14t2

Q: The graph of the function is given in the attachment . Please find the domain and range

A:

Q: dx 3. = 8-3x; x(0) = 4 dt

A: To find out the differential equation.

Q: Consider the equation of the plane x + 2y + 3z = 12. (a) Find a normal vector to the plane. (b) Find…

A: As per our guidelines we are allowed to solve only 3 sub parts. kindly repost others. THANK YOU.…

Q: 2) Find the equation of the plane that contains the points (1, 2, 3), (2, 1, 0) and (-2, 1, 0)

A:

Q: Consider the following function. 1 (x - 9)(x - 10) Determine all values of x at which the function…

A:

Q: lim 2"-1 = x-0 A B C D 0 In 2 1 1 In 2

A: limx→0ax-1x=lna

Q: the arbitrary constants and G from the given equation below. y e3x = Fsin2x + Gcos2x

A:

Q: 19. Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

A:

Q: Simplify the following: 57 +27 i 57-27 37 +27 LO Te 1² (47 −25) + 3(7 + 7)

A:

Q: if x < 5, if x ≥ 5, continuous at x = 5? Why or why not?

A:

Q: Use the following tables for f(x) and g(x), and just fill in the tables shown below: x 012345 y =…

A: Given: x 0 1 2 3 4 5 y = f(x) 5 5 7 9 11 12   x 0 1 2 3 4 5 y = g(x) 14 3 7 1 1 14

Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

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Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 450 newtons…

A: Given that a force of 450 newtons stretches a spring 30 centimeters.Our Aim is to calculate how much…

Q: The f'(5) for y = √3x² + 6

A: Solve the given for f'(5)

Q: Determine the expression for F(x, y, z) given the function F(x, y, z) = 2x²y = xz² + 3y²z.

A:

Q: Find dy by implicit differentiation. dx √xy = x²y + 29 dy dx X

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the…

A:

Q: dz 一 dt z+1 [+z7 0=

A: Solution is done in step 2

Q: Given the 4x4 determinant as enumerated: Row 1 (41,25,33,-67); Row 2 (-487,21,52,20); Row 3…

A:

Q: Solve for y 6y = 12/7 y = ? simplify your answer as much as possible

A: Given: The given equation 6y=127 To find the value of y

Q: Let f(x) = (1 + 7x²)(x - x²). Find the derivative by using the Product Rule. f'(x) = Find the…

A: Given that fx=1+7x2x-x2Solution :product rule of derivative…

Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate (+)dx and determine which rule is…

A: ∫04x1+exdx We know that simpson's 3/8 rule ∫abf(x)dx=38hy0+yn+3y1+y2+y4+y5....+2(y3+y6+...)