Use the Laws of logarithms to rewrite the expression log: (2¹4 14 y13 in a form with no logarithm of a product, quotient or power. After rewriting we have log(x¹413) = Alogą æ+ Blog3 y

Q: What are the domain, range, and period of the function f(0) = 2cse(0 + 1)₂

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Q: Sketch a continuous curve for which each of the following statements is true. f(-1)=0, f(0) = 2,…

A: According to question,Given conditions,f-1 = 0,f0 = 2,f1 = 4,f'-1 = f'1 = 0,f'x <0 for the…

Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: Find the lengths of the two missing sides. X 30% y 24 21 Enter the value of a here. (You'll enter…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 5x³ and X= about the…

A: We need to find volume of solid region.

Q: Write the pair of parametric equations in rectangular form. x = 7 sin 0, y 2 cos 0 =

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Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

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Q: Question 10 Use the graph to estimate the limit of the function shown in blue as x→0. -5 -4 -3 -2 -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Let f(x) = √√7x-1, g(x)=x²-36, and h(x) = (f + g)(x) domain (f + g)(x) = x-2 Find the domain of the…

A: The functions are:To determine: The expression and the domain of

Q: In Problems 1-5, let R be the region bounded by y=x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: If the distance of an object is given by d(t) cannot be determined. O constant. O increasing.…

A: Given, the distance of the object: d(t)=3t3-6t

Q: If f'(x) < 0 and f"(x) < 0, then which of the following is true? Of(x) is decreasing and concave…

A: Here we need to find out the correct option for the given statement.

Q: Suppose f(x) is continuous on [3,6] and-2 <f'(x) < 4 for all x in (3,6). L

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Q: Examine function f(x, y) = x² – 3xy - y²for relative extrema and saddle points.

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Q: (b) Find a power model and a quadratic model for the data. (Round all numerical values to four…

A: We have given a table that shows the national expenditures for health care in the United States for…

Q: Use integration to find f(4) if d = 2x² and f(1) = 6.

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Q: 39. f cos(1 + 5t) dt 41. √cotx esc²x dx 43.sinh²x cosh x dx 45. S 47. Scot 49. J S sin 2x 1 + cos²x…

A: Solving the problem

Q: lim x 3 x² - 2x - 3 T

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Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

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Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

A: The given curve is

Q: True or False (Mean Value Theorem): For the function f(x) = 7+√ on the interval [0,9]. If f' (c) =…

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Q: Find the general solution of the given differential equation. dy dx y(x) = (1+x) - xy = x + x² Give…

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Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

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Q: Find f'(x) given in the integral function f(x) = Jotanudu

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Q: Problem #3: Consider the following matrix. A = d a b C f (a) Suppose that det(A) = −6. Let B be…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Find the area enclosed by the ellipse a² b + y=-b√√√a²-x² y² 62 b y=1/√√a²-x² = 1 shown in the…

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Q: In Problems 11-15, let R be the region bounded by the lines y = -2x-4, y = 6, and x = -2. Each…

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

Q: Convert the following point from cylindrical to rectangular coordinates: (9,11pi/6,5)

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Q: Write the pair of parametric equations in rectangular form. State any restrictions on the domain.x =…

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Q: Use the substitution x = 2 sint, - ≤t≤ to simplify the following integral: 플 1 4 - x2 dx (a)…

A: By using substitution x=2 sint, -π2≤t≤π2, to evaluate the following integral. ∫14-x2 dx

Q: Find the displacement of an object on the interval 3 ≤ t ≤ 9 if its velocity is shown below.

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Q: Find the maximum value of the function f(x,y)=2x^3+3y^2-4x-5 on the domain x^2+y^2=121. List the…

A: We need to find the maximum value of the function f(x,y)=2x^3+3y^2-4x-5 on the domain x^2+y^2=121.…

Q: x - 27 lim x 7x + 4

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Q: dy 3) Using the function y=f(x)=x², state which of the following uses of the notation: dx d and are…

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Q: O O O O Which of the following shows an inconsistent system of equations? 3x + 4y = 5; 6x + 8y = 10…

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Q: Find the constants a and b such that the function is continuous on the entire real line.…

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Q: A ball is shot out of a cannon at ground level. Its height H in feet after t sec is given by the…

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Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: d the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

A: using  Integral by parts:-  ∫u v dx = u∫v dx −∫u' (∫v dx) dx  here u = ln(x) and v = x^3   u' = 1/x…

Q: 1. The equation x² + y² = 1 describes a circle of radius 1. Solving for y, we get y = √1-x². (b)…

A: Solving the problem

Q: Solve the given differential equation by separation of variables. dy dx = e5x + 3y

A: We have to slove above differential equation by separation of variables

Q: answer 12 and 13 using the information

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: Use a double integral to find the area of the region bounded by the graphs of the equation y = x²…

A: By using a double integral to find the area of the region bounded by the graphs of the equation  and…

Q: (b) Evaluate [x² sin(x³) dx using substitution technique.

A: Substituting t as

Q: Given u (2) = 6, u' (2) = 4, v(2) = −3, v' (2) = −5. Find d (u(x). dxv(x) Evaluated at x = 2.

A: Use the quotient rules of the derivative

Q: Find the annual percentage yield for an investment at the following rates. (a) 7.1% compounded…

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Q: Find f'(x) given in the integral function f(x)=√x5u²+6)du

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Q: A B U 12.64 feet 15.82 feet 16.77 feet X 21 ft 37°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: What is the average value of f(x), between x = 2 and x = 5 for f(x) = 2x?

A: To find the value value of , between  to  for .