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

Q: Initial condition. 14. Differential equation: Initial condition: dr dt r(0) = i + j = (t³ + 4t)i +…

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Q: The associative properties state that (a + b) + c = -= a(bc). and

A: Given data:- The associative property states that, a+b+c=??=a(bc)

Q: 19. The graph of f is shown to the right. For which value of x is f'(x) the smallest? [A] x=6 [B]…

A: given graph of f(x)

Q: Evaluate the integral: X = √36 6 sec (0) 0x = - (A) Which trig substitution is correct for this…

A: we can evaluate the integral by using the substitution x= 6 sin(θ)

Q: 1. Let y=f(x)=x² 4x + 1 (a) Use the definition of the derivative to find the derivative f'(x). No…

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Q: Find the number in the interval [0, 2] such that the number minus its square is as follows. (a) as…

A: Solution

Q: Solve the given differential equation by undetermined coefficients. y'' − 8y' + 16y = 20x + 6 y(x)…

A:

Q: CP Precalculus Q4.1 1. Illustrate each of the following bearings in a separate diagram: a. A bearing…

A: Given 1. A bearing of 55° 2. A bearing of N20°W 3. The bearing of plane A to plane B is 235°

Q: Find the required value by setting up the general equation and then evaluating. Find s when t-4.0 if…

A: Given:s is inversely proportional to the square of t.Ands=3 when t=8

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: Topic-Implicit differentiation We are given, 2xy+5y=13And we know thatddxu·v=uv'+vu'ddxxn=nxn-1

Q: a) b) Consider the function f(x) 3 22+5 +6 Determine the partial fraction decomposition of f(x)…

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Q: Solve the ff. first order DE using Separation of Variables 2 b. x²dx + y(x − 1)dy = 0

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Q: a = 1, a + 0: The product of a nonzero real number and its multiplicative. multiplicative . is the

A: According to the Multiplicative Inverse Property, The product of a non-zero number with its…

Q: 8. dy dx x + 3y 3x + y

A:

Q: Consider the function ƒ (x, y) = 2x² – 3y² subject to the condition x² + y² = 9. Use Lagrange…

A: If the objective function is: Maximize or Minimze f(x,y) such that the constraint is g(x,y)=c, then…

Q: f(x)=2ln(6x) f′(x)= f′(2)=f

A: Given query is to find the derivative.

Q: e* (sin y - sin x + cos x) dx + e*(siny + cos y + cos x)dy = 0

A:

Q: Find the average rate of change of the function over the given interval. R(0) = √30+1; [1,8] AR ΔΘ…

A: The average rate of change of the function Rθ over the interval a, b is given by ∆R∆θ = Rb-Rab-a.

Q: J + tan x)² sec x dx

A:

Q: 4. (x + y)dy - (2x - y + 3) dx = 0

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution of the…

Q: 32x^-2+2=0

A: We need to solve for x.

Q: The point 2 is in the range of the function given by f(x, y) = True False 2x² x² + y²

A: We can check whether the statement is true or false .

Q: For the equation given below, evaluate y' at the point (1, −2). (6 + y)³ + 4y = x + 55.

A:

Q: Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. E…

A: Given data:- The given points, E = (0, -3)

Q: 47xy Compute the second-order partial derivative of the function g(x, y) = x-y (Express numbers in…

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Q: 9. y = ln *³(x-¹)(use properties of logarithms) (x+1)4

A:

Q: The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in…

A: Given query is to find the rate if change of supply

Q: The yearly demand function for Penn State Bakery cookie trays is given by x² + 4p² + 3x + 12p = 202…

A:

Q: 2. y = ln 3. y = 1+sinx 1–sinx e3x-e-3x e3x+e-3x (use properties of logarithms)

A:

Q: Graph the functions in Exercises 23-26 in the ts-plane (t-axis horizon- tal, s-axis vertical). What…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Suppose that (g(x))² + 8x = x² g(x) + 4, 2 and that g(3) = 4. Find g' (3).

A: Given query is to find indicated derivative.

Q: 22. Throwing a baseball A baseball is thrown from the stands 32 ft above the field at an angle of…

A: We will use formula for horizontal range and total time of flight.

Q: Solve the following differential equations. Question 8 ex [ y – 3 (ex + 1 )2] dx + ( ex + 1 ) dy = 0

A: Given differential eqution:- ex[ y–3 (ex + 1 )2] dx+(ex+1)dy=0

Q: Solve the ff. first order DE using Exact Equations b. (y² − 2xy + 6x)dx − (x² - - 2xy + 2xy + 2)dy =…

A: To solve Differential equation.

Q: Eliminate the Arbitrary Constant in the ff. equations: 3 a. x - 2 3x y = C

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

Q: The tangent line to y = f(x) at (9,-10) passes through the point (6,-5). Compute the following. a.)…

A: Given query is to find the value of function and derivative at x = 9.

Q: ff.

A: The given equation is; x=(wt+B).

Q: So If fis continuous and f(x) dx = 20, evaluare let U = 3x f² f(3x) dx.

A:

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on t -10x2 - 3 12) f(x)…

A: Explanation of the answer is as follows

Q: y = f(x) +7 Vertical asymptates horizontal asymptotes oblique asymptotes Domain of of f

A: We have to find the asymptotes and domain of function.

Q: What is meant by an increasing function? A decreasing function?Give an example of each.

A: Increasing and Decreasing Functions in Calculus:- Calculus uses a function's derivative to…

Q: 1. Let y=f(x). = 4x² 4x+1

A: The function is given by fx= 4x24x+1 To determine: (b). The derivative of the function fx (c). The…

Q: In Exercises 57-64, solve for t. 57. a. e0.3t = 27 b. e = c. In02 = 0,4 %3D 58. a. 0.0l = 1000 b. c.…

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

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions.…

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Q: Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 8

A: given data x intercept =-10 y intercept = 8 this is question of geometry cartesian further…

Q: 1. Express the given function H(x) as a composition of two functions f and g such that H(x) =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: In Exercise use graphing software to determine which of thegiven viewing windows displays the most…

A: Given, fx=x4-7x2+6x

Q: 23. Find the following limit. lim x-0.5* lim x-0.5* x+11 x+2 x+11 x+2

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Q: Use the given function to complete parts a) through e) below. f(x) = -x²+x² ... a) Use the Leading…

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Q: If f(x): f'(x) = = f"(x) = = f"(x) = √6x + 5, compute the first, second, and third derivative of…

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