Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4 -3 -2 -1 3 2 1 -1 -2 -3 -4 -5+ y X 1 2 3 4 5 q

Q: Question 7 Find the values of a and b if f(x) = bx³ - 1, if 3x + a, if O a 3 and b = 1 O a = -3 and…

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Q: Find and simplify dy da 3x²-4 522+7 y = ( 3 5

A: On solving this we will get

Q: Find the differential dy of the function y = √√/2-3x. Provide your answer below: dy = dx

A: Derivate both sides with respect to x

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: The following table shows the number of fifth and sixth grade teachers in a school district and the…

A: We need to choose correct option.

Q: 4 Consider the function f(x,y) = 3x¹ - x²y + 5y² + 5 and the point P(-1,1). a. Find the unit vectors…

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Q: Evaluate the limit: lim,→ 1-tan x sin x-cos x

A: Topic- Limits We are given, limx→π41-tan xsin x -cos xWe know that,tan x=sin xcos xsinπ4=22cosπ4=22

Q: The curve ƒ(x) = x¹ − 25x² + 8 has a horizontal tangent at which of the following points

A: To get  point at which the tangent line is horizontal, we put  slope of the function is 0 because a…

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: f we want to integrate a rational function using partial fraction decomposition, what is the first…

A: if we want to integrate a rational function using partial fraction decomposition,   Step 1: Factor…

Q: Sunset Lake is stocked with 2000 rainbow trout and after 1 year the population has grown to 5200.…

A: I am attaching image so that you understand each and every step.

Q: Example 2 Sketch the feasible region for the following set of constraints: 3y - 2x ≥ 0 y + 8x ≤ 52 y…

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Q: Given f(x) = 3√x + 2, find f'(x) using the Limit Definition of the Derivative. Doing this question…

A: Given that  f(x)= 3√(x+2) we find f'(x) using limit defination and without limits defination.   Here…

Q: Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2…

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Q: Find an expression for the general term of the Taylor series 9 In(1 + 3x) = 3x x + 27 3 23 81 4 X +…

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Q: (2) (a) Graph y = 1/t¹.¹ and y = 1/t0.⁹. Select two viewing windows (a) [0, 10] × [0, 1], (b) [0,…

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Find the critical points of the function f(x,y) = x² + y² − 4xy + 2.

A: Given, f(x,y)=x4+y4-4xy+2

Q: Evaluate the limit: limo 9x² (= cos 4x-1

A: To evaluate the following limit.limx→0 9x2cos4x-1

Q: Given the equation below, find 38x5 +10x⁹5y + yº 95 9 dy dx = y = = 49 dy da Now, find the equation…

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Q: A rectangular metal tank with an open top is to hold 4 cubic feet of liquid. What are the dimensions…

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Q: From 1930 to 1990, approximately what was the average increase per year in per capita income? A $150…

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Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: ************** An airplane flying at an altitude of 5 kilometers passes directly over a radar…

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Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g&gt;0.We need to check the differentiability at g=0.

Q: Differentaiate the function. h(x)=ln(x+√x2-12)

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Q: A curve is generated by the equation x² + 4y² = 16. Determine 2. whose corresponding tangent lines…

A: Given data:- The given equation of curve is, x2+4y2=16 Curve corresponding tangent line are…

Q: (y + √xy)dx + xdy = 0

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Q: (4) Explain why fx ln x dx is improper. Evaluate it using the limit of a proper integral.

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Q: Find and simplify dy dx y = sec³ (sin(e³x))

A: Topic = Derivative

Q: 3. sum. Write Determine if the following series converges or diverges. If it converges, find its…

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Q: Find the following information for each vector, Graph component form, magnitude and direction angle…

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Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

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Q: Assuming the original 10 organisms grew exponentially, doubling in size with every unit of time,…

A: Given that original 10 organisms grew exponentially, doubling in size with every unit of time,…

Q: A patient needs to keep their blood sugar levels within 7 milligrams per deciliter of 95 milligrams…

A: A patient needs to keep their blood sugar levels within 7 milligrams per deciliter of 95 milligrams…

Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

Q: 20. x and y measured in meters. How far from the left hand pole is the slope of the phone line a 45°…

A: Slope of a line is just the derivative of the given equation of line.

Q: 3. Using the graph of the function below, determine the following. If infinite, specify ∞o or-oo. If…

A: For concept: your given formulas are applicable only when function is continuous and Derivable.…

Q: Let f(x) be a function. The average rate of change between = a and * = b is equivalent to: O The…

A: From the given statements, we have to find the equivalent meaning.

Q: 1. Find the general solution of y"" — 2y" — y' + 2y = 0

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Q: Make a sign diagram for the derivative of the rational function. f(x) = --Select--- relative max 12…

A: Given data:- The given rational function is, fx=12x2+2x-3

Q: UP the integral representation for the volume of the solid that results when the region bounded by…

A: Please see the below picture for detailed solution.

Q: Use logarithmic differentiation to find the derivative of y = (ln(4x))In(4x) (where x > 1/4, so that…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: Find and classify the critical points of f(x, y) = x³ + 3xy + 4y². Local maximums: Local minimums:…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find dy/dx if y=- O dy dx Ody dx O dy dx O dy dx = = = 1-t 1+t = sec 2t (1+t) ² (1+1) 2 sin2t cos2t…

A: To find dydx if y=1-t1+t and  x=cos2t.

Q: Let sin 3x сos 13лу = sin 3x + cos 13Ty = T(x) of the tangent line at (0, 2), then evaluate T(13).…

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Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) 0.502 the…

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Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…