Using the change of base formula, g,15=7 O log log (15) Oh (15) O ¹0 In (15) In(60)

Q: If a, b, and c are constants and f(x) = ax² + bx + c, then ƒ' (0) : = C. True False

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Q: 3. √ √x² + 2x dx

A: Given integral

Q: Evaluate the definite integral. WS¹ (x²-x²) dx

A: The Sum Rule:The Power Rule:

Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: The population of rabbits in a controlled system can be described by P(x) = x² + 18x + 19, where x…

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Q: Evaluate. Assume u > 0 when In u appears. 7 e3x e3x + 1 hrs dx

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Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: 3a) Determine whether or not the function below is differentiable at 0 by using the definition of…

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Q: The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the…

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

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Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: The polar equation r = 6 sin (40) graphs as a rose What is the length of the petals of this rose?…

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Q: 2. Which polar coordinate pairs label the same point? a. (-2, π/3) b. (2,-π/3) c. (r, 0) d. (r, 0 +…

A: We have to find the pair that labels the same point in polar coordinates.According to our guidelines…

Q: Find the antiderivative of the given derivative. ds dt S= 13t(41²-3)³

A: Solution:-  given that now using identity

Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

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Q: During the month of January, "ABC Appliances" sold 49 microwaves, 16 refrigerators and 27 stoves,…

A: Given:We are required to find:

Q: Find the Jacobian of the transformation a -3u+7v, yu²+ 4v

A: To find the Jacobin of the following transformation.

Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: f(x) = = Find (fog)(x). Find the domain of (f o g)(x). (Enter your answer using interval notation.)…

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: Find the magnitude and direction angle for each vector. • 431-46j (5.-6) 6) RS where R=(3,-1) S=

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: For what value of b does the limit b = exist? What is the value of the limit? b = b b b = = lim x→→2…

A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

Q: What are the solutions of the equation cscx tan x = 2√3 Drag all correct solutions to the box to…

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Q: Let f(x) = In(x) and g(x) = log2x. For all 0 g(x) O True O False

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Q: X Find the derivative of y = x • xx−1 X. x ln(x) x* (ln(x) + 1) In(x) + 1

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Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

A: A function f(x) is said to be continuous at a point a, if Left hand limit and right hand limit and…

Q: 7. The function f(x): the derivative (ne of the tangent line to the graph at z = 1. = is graphed…

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Q: Suppose 3x² + 4x + xy = 3 and y(3) = = y'(3) = -12. Find:

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Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .

Q: 2x Find the derivative of Y = e²ª sin¯¹(x) + ln(x) y

A: y=e2xsin-1x + ln(x)Find the derivative of the given function.

Q: 27. S cos5 x sin³ x dx

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Q: What is the limit lim x→1 X x² 1 1 + sin N|w 1 1 2 1-x Does not exist ∞ ?

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Q: f(x)=x-5 1. f(5) = 2. lim (x-5) as x->5 = g(x): X = :: f(x) 3. g(5) = x²-25 x-5 : g(x) 4. lim g(x)…

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Q: f(x) -5, g(x) = = X Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using…

A: We are given two functions f(x) and g(x).We have to find (f+g)(x),(f-g)(x),(fg)(x) and (f/g)(x) and…

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0…

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Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: A solid is formed by revolving the region bounded by the graphs of y = 5x, y = ln (1x), y = 7, and…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Salue the trig equations on 040127 1+COSA = =

A: 1+cos(theta)=1/2, 0<=theta=<2piFind the value of theta lies in the given interval.

Q: 5. Let G(x) = = = f* tan-¹(s) ds x2 Find G'(x)

A: Fundamental theorem of calculus

Q: If the number of bunnies B, increases at a rate proportional with the square of B, write the…

A: If the number of bunnies , increases at a rate proportional with the square  of , then to write the…

Q: 12. Compute the derivative of f(x)= = (a) The quotient rule (b) The product rule I for constant n…

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Q: (e) Separating out the K and J terms, you now have a term of the form and bottom by a constant you…

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Q: Find the slope of the line tangent to the curve e at point (0, 0) - sin(x + 5y)

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Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: Determine whether the following improper integral converges and, if it does, calculate it: S [Hint:…

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