2.42 0,2х-2х+8

Q: Use the sum-to-product identities to rewrite the following expression as a product. sin(4x) -…

A:

Q: The paraboloid z = x² + y² intersects the plane x + y + z = 1 in the shape of an ellipse. The…

A:

Q: 8. н dx 3x + y

A: Topic:- differential equations

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: 1. Dunder Mifflin has found that producing x cases of Premium Multiuse Copy Paper is given by C(x) =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Match each function f with a function g so that (fog)(x) = x². (x² + 2)² (²-2)² x² - 2x + 1 :: 2 ln…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: On the real number line, the origin is assigned the number ________. (p. A4)

A: Given data:- On the real number line, the origin is assigned the number ________.

Q: Find the union: (7, 8, 9, 10, 11} U {6, 8, 10, 12}.

A: To find the union of 7,8,9,10,11 ∪ 6,8,10,12 .

Q: Use the intermediate value theorem to show that the polynomial has a real zero between the given…

A: Given function:- fx=x3-5x+8

Q: Evaluate the limit 8 02 15 2 lim x- 2 4x² 7+ 3x - - 1- x - 2x²

A:

Q: Find the equation (in terms of x) of the line through the points (-4,3) and (2,-5) y =

A:

Q: Equations of a Line: Let L be the line passing through the points (-1,1) and (4,-3). Given that…

A:

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

A: Detailed solution is given

Q: he average daily temperature (in ◦ Fahrenheit) in Portland, Maine is given by A(t) where t is the…

A:

Q: Determine the following limits.

A: Given data:- The given expression is, limθ→0+cscθ

Q: For the equation given below, evaluate y' at the point (-1, -2). (2x - y)² + 3y³ = -24. y' at (-1,…

A: The given problem is solved below in detail.

Q: ja Na2+x3JZ X dx

A:

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: 1. Compute the three partial derivatives of f(x, y, z) 1 (x² + y² +2²)n

A: see below the answer and calculation

Q: If f(3) = −1, f'(3) = 2, g(3) = 4, g/(3) = −2. Leth(x) =Vg(z) 2f(x)+g(x). h'(3). T 58 100 8 5 0-1 4…

A:

Q: 2 lim √√9-x² - y² (x,y) →(0,0)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2. Find the general equation of the circle passing through (1,1), (−2,3) and (3,4).

A: Solution

Q: Suppose that (g(x))² + 5x = x²g(x) + 15, and that g(2) = 5. Find g'(2).

A:

Q: a. Find the inverse of ƒ(x) = x + 1. Graph ƒ and its inversetogether. Add the line y = x to your…

A: The concept used: Inverse function  An inverse function that reverses into another function is…

Q: Use a contour map of f(x, y). 4. 2. 0 -2 7 -20 B B C O A -10 70 50 30 LLL 10 0. 10 C -30 -10 2 .30…

A: Given a contour map with value of each component as A=30, B= 20, C=-10 for f(x,y) We have to choose…

Q: posted it again with just a request for d and e. Can you please pick that one up too?

A: d)   average marginal cost c(x)¯'=marginal cost/x here x=cases of premium multiuse copy paper…

Q: 1. 3 A certain fraction has the value. If its 4 numerator is decreased by 7 and its denominator…

A:

Q: Evaluate the limit: limx→ N|C 00 0 3 None of the choices 0 ∞ 3x²-4x+5 2(x+1)²

A: To evaluate the given limit of the function.

Q: For the function f(x) = -6x²-3x + 3, evaluate and fully simplify each of the following. f(x + h) =…

A: Topic-Functions We are given , f(x)=-6x2-3x+3 and we know that (a+b)2=a2+b2+2ab

Q: Which of the following limits represents a derivative of the function f(x)=√x- ? O 1 lim h 0…

A:

Q: Suppose a company has fixed costs of $33,600 and variable cost per unit of x + 222 dollars, where x…

A:

Q: Find the maximum and minimum values of the function f(x, y) = e subject to a³ + y³ = 16 Please show…

A:

Q: Determine the following limits or state that they do not exist.

A: (a) Given limit, limx→1+ x-2x-13 Now solving the given limit, limx→1+ x-2x-13=limh→0 1+h-21+h-13…

Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: Finding the Maximum or Minimum Value of a Quadratic FunctionDetermine whether the quadratic…

A: A quadratic function has a maximum value if it's second derivative has a negative valueand  the…

Q: Let f(x)=√-4x-1 f′(x)= f″(x)=

A: Given query is to find indicated derivative.

Q: Question 24 Find the derivative of y = 3 7 15 (3x²+2ax) (ax²-3r-a) 7 (2ax-3) 2 5(32²+2ax)…

A:

Q: Solve the following differential equations. Question 4 dy/dx + y tan x = cos x

A: See the details solution in below

Q: Determine the derivative of the following: y = - Oy= 'y' 23+5-1 2 3r (x-3)² 2x-G7 3(x-3) 2x²-47-5…

A:

Q: Show that the limit sin(xy) lim (z,y) →+(0,0) x² + y² does not exist by finding the limit along the…

A:

Q: Simulate the solution of the given problem using Excel such that when the given four data points (x…

A: we use exel to fit the equation

Q: d dx 3x+4 2x+5 z (3x+4) ² (2x + 5)2

A:

Q: Question 1 Evaluate: lim-3²+x-6 O None of the choices -00 O(meaningless) ||2||+3 O ∞ O undefined

A:

Q: 1. 3 A certain fraction has the value. If its 4 numerator is decreased by 7 and its denominator…

A: The objective of the question is determine the original fraction. Note -  As per our guidelines we…

Q: Let f(x) = x (f+g)(5) + 2 and g(x)=x²-x. Find and simplify the expression. (f+g)(5)= (Simplify your…

A: we need to find (f+g)(5).

Q: Use the equivalent optimization problem above to find the point on the ellipse that is the…

A: The given problem can be solved using the method of Lagrange multipliers. Consider the objective…

Q: Integrate by part 1 ∞ xe -2x dx

A: We can solve this as follows:

Q: Multiple Choice Which of the following statements is truefor a point (x, y) that lies in quadrant…

A: If (x,y) is a point on a graph then if (x,y) lies-In quadrant I, then both x and y are positive.In…

Q: c) fsin-¹(x) dx -1

A:

Q: determine if it diverges or converges 2. n=1 2n e²n n

A: See this solution in below.