f(0) = ln(cos 0) f(x) = log5 √√5x+1

Q: 1a: Find the values of a and b, if any, that make f(x) continuous everywhere. If no such values of a…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: ex - 32 √x +x 22

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Q: If h(a) = h(b), then what is the value of ·b [ g(h(x))h' (x)dx

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Q: 7. A = [1 2 3], B = 3 4 5

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Q: nitial investment amount P, an annual interest rate r, and a time t are given. Find the future value…

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Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

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A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

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Q: a. Find the points at which the following polar curve has a horizontal and vertical tangent line. b.…

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Q: Find and simplify the derivative of the following function. f(x) = 25xe x -X The derivative of f(x)…

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Q: Find the value by writing the argument using the number 5 and using the value log 5 = 0.6930. log 25…

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = + 3 n…

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Q: For the function f(x) = 2x³ find the derivative of the inverse function f-¹ at the point x = 345.…

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Q: Find d37 -(sin x). dx37 Derivative:

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Q: A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt…

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Q: If a stone is thrown vertically upward from the surface of the moon with a velocity of 8 m/s, its…

A: Given that a stone is thrown vertically upward from the surface of the moon with a velocity of 8…

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Q: Find the GCF of the expressions. 12x¹4yz6, 24x6z8, and 4xyz7

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Q: Let F = (z, xy, x² + y²). Compute the work done by the force when moving a particle located at the…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it…

A: A freshly brewed cup of coffee has temperature 95°C in a 20°C room.When its temperature is 68°C, it…

Q: If 3x² + 2xy + y² = 2, then the value of dx -2 (b) 0 - at x = 1 is (c) 2 (d) 4 (e) not defined

A: The equation of the curve is The value of  at  can be obtained asNow, the point at which we need to…

Q: Solve the separable differential equation for u du dt Use the following initial condition: u(0) =…

A: To solve the following separable differential equation for .

Q: Find the derivative of the function. f(t)=√3+ tan(t)

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Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

A: Given equation, We know,

Q: Determine the equation of the tangent to the graph of y-²-4-√x at the point (4,8). a) y=-7x+36 b)…

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Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

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Q: 2 L² L² Te Write your answer in exact form. Find xe+3dydx

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Q: 2c Find numbers a and b such that √a ax+b-2 lim x →0 1. Note: X express your solution based on the…

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

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: 1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.

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Q: etermine the interval(s) for which the function shown below is decreasing. 8 7 6 5 4 3 2 1 Y A…

A: Determine the values of  for which the values of  are decreasing.

Q: K Evaluate the derivative of the function given below using a limit definition of the de f(x)=x² -…

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Q: Prob #5 A Solve for angles A, B, and C in the triangle listed below. 17.8F+ C 35.2f+ 27.3ft B

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. == -√x; x =…

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Q: Find d²y/dx² implicitly in terms of x and y. x²y - 4x = 6 d²y dx² || (4xy-12) +³ 3 X

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Q: -9x² - 17 - 18x4 (a) standard form (b) degree standard form, degree, coefficients, leading…

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Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: Find dy dy dx by implicit differentiation. tan(x - y) = = y 7+x²

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Q: Why/How did you know to use the 2n when multiplying the power?

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Q: Differentiate. y = In (4x² - 7x+5) y' =0

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Q: = OF MATHEMATICAL INDUCTION 2 (3") + 1 15 DIVISIBLE BY positive integer F E E

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Q: Find the distance between the points whose coordinates are given. (-6, 8), (-11, 14)

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Q: e best system on which to base the future of the world." arket Reliance vs. Government Reliance?…

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Q: Consider the function f(x) = x¹ — 32x² +6, −3≤ x ≤ 9. This function has an absolute minimum value…

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Q: 1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

A: f(x,y)=3xy+1x−8y

Q: Differentiate. d y = log 4 (xº + x) - log4 (x8 + x) = □ dx

A: To differentiate the following function.

Q: decays at a rate proportional to the amount present. You receive 1kg. After 80 days you have 250…

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