If b + 0, then b

Q: Evaluate algebraic expression for the given value or values of the variable(s).

A: Given data:- The given expression, 8+6x x=5 are given

Q: 16. Write the numbers in scientific notation. a. 4920 b. 0.00492 c. 4.92

A: Given data:- (a);  4920   (b); 0.00492 (c); 4.92

Q: The commutative properties state that a + b = and ab =

A: Cumulative properties:- Both addition and multiplication come under the commutative property.…

Q: lim x,y) →(2,1) (2x² + y) = 9.

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Q: g(t) 1 √t

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Q: 818 6. y = xln(a² + x²) + 2aArctan ² - 2x

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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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Q: For Exercises 71-74, simplify the expression. Assume that all variable expressions represent…

A: Given data:- (71); 5k (72); 5k4 (73); 1510-7 (74);  x-4x+2

Q: The area A of a triangle whose base is b and whose altitudeis h is A = __________. (p. A15)

A: Formula to calculate the area of a triangle is 12×base×height of altitude.

Q: In Exercises 7-10, determine from its graph if the function is one-to- one. [3 - x, x -3 9. f(x) =…

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

Q: Use implicit differentiation to find the slope of the tangent line to the curve 2xy³ + 3xy = 5 at…

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Q: 2. Solve ODE Use the method discussed under "Equations of the Form=G(ax+by)" to solve dy da =√2+7-1

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Q: If f(8) = - 3, write an ordered pair that must be on the graph of y = f(x - 5) +3.

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Q: 2x4 - 1.2²² 7x If F(x) = In (t² + 4) dt, what is F'(x)?

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Q: f(x) = x² + 1 3-x (√x if x ≤ 1 if 1 4

A: Given :fx=x2+1if x≤13-xif 1<x≤4xif x>4

Q: Use the limit definition to prove the quotient rule; i.e., find the derivative of f(x) u(x) v(x)…

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Q: Give an example of a rational number that is not an integer.

A: Integer Among the collection of negative, non-negative, and positive numbers, an integer is a whole…

Q: Set up the integral for the area of the surface ebuined by rotating the 20 Integrate in your…

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Q: dy 10. x ²/2 = y + √x − y², x>0 dx

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Q: c) fsin-¹(x) dx -1

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Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: The Solution is given below

Q: 1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

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

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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: 2x-1 (3) f(x) = log_ (5x+3) + 7°

A: Given query is to find the derivative of the function.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: For Exercises 97–98, simplify the expressions. 97. V-16 · V-4 98. Simplify the powers of i. а. 35 b.…

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

Q: 3. y У = = e3x-e-3x e3x+e-3x

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Q: Which one of the following intervals is not symmetric about x = 5? a. 11, 92 b. 14, 62 c. 13, 82 d.…

A: Given function: x=5 Intervals:  a. 11, 92       (b). 14, 62     (c).  13, 82     (d).5,5.2

Q: Set g(x)= Question 1 g'(0) = = y = arctan(x)f(x). Suppose f(0) = 5 and lim h→0 f(0 + h) - f(0) h = 3…

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Q: Given that f(x) = x² - 9x and g(x) = x + 5, find: a) (fog)(3)= b) (gof)(3)=

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)),    (3pi, 0)

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Q: Find the limit lim h+0 f(−11+ h) − f(−11) h ‚ if f(x) = √1069 – 6x².

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

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Q: Find the equation of the plane that passes through (8, 3, 8) and is parallel to x + y + z = 4.…

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Q: If f(x) = x5(4x + 5)6, compute the first and second derivatives of f(x). f'(x) = f"(x) =

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Q: Question 25 Given the function: f(x) = O a= =7,6=3 O None of the choices O a=-3, b= O a = 3, b=²…

A: This question is related to continuity, we will solve it using given information.

Q: 1. A farmer wants to fence off a rectangular field and use a well as one side. He has 500 meters of…

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Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm² and whose total edge…

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Q: Find the slope of the tangent line to the curve 6 sin(x) + 6 cos(y) — 4 sin(x) cos(y) + x = 5 at the…

A: To find the slope of tangent line to the given curve.,

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 14(860) +…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where F=fine in…

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: If b2 - 4ac 7 0, which of the following conclusions can bemade about the graph of f1x2 = ax2 + bx +…

A: To determine if b2-4ac>0 which of the given conclusion is correct: (a) The graph has two distinct…

Q: Find the average rate of change of f(x)=x^2−4x+2 on the interval [1,t]. Your answer will be an…

A: To find the average rate of change of given function.

Q: A bank offers a CD that pays a simple interest rate of 2.5%. How much must you put in this CD now in…

A: Recall: Formula for future value     FV=P1+rn Where, P=present value             r=interest rate…

Q: i got -2 square root of 5 and positive 2 square root of 5

A: We shall use Lagrange method for find maxima and minima Let lambda be any real number We find lamda…

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

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Q: (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an equation of the…

A: We have to find the tangent equation and graph the function.

Q: Limits of composite functions Evaluate each limit and justify your answer

A: Given data:- The given expression is, limx→0ln2sinxx

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°