Given the function find the following. (a) the average rate of change of ƒ on [−3,3]: (b) the average rate of change of ƒ on [x, x + h]: f(x) = 3x² − 3x+5

Q: Which of the following represents the correct verification of the identity? π cos (0 + ) - sin ==

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Q: A population of bacteria follows the continuous exponential growth model P(t)=Poe, where t is in…

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

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Q: Find the indicated partial derivative. f(x, y) = sin(5x + 4y); f yxy fyxy(x, y) =

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Q: 13(2-x) = x-2 Set builder

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: if x 7 Show that f(x) has a jump discontinuity at 7 by calculating the limits from the left and…

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Q: 8. If f(x) = √2x + 3 and g(x) = x - 1, what is the domain of g(x)f(x)?.✓✓

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Q: Let f be a differentiable function defined for all real numbers. Assume additionally that f has a…

A: Given that f be a differentiable function and f has a continous derivative if limx→1f'(4-x)x-1=0.47…

Q: Question 1 h (x, y) = 2xy + 3x² + 4x³y² + 8 What is the value of Əh(x,y) ду when x = 1.4 and y =…

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Q: x²+3x Compute the limit limx→∞ x³+2· -

A: Given limx→∞x2+ 3x-x3 + 2

Q: Find the angle between the planes 8x + 3y = 4 and 10x + 5y + 6z = 10. The radian measure of the…

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Q: 1. For positive numbers a ≤ b, the pulse function is defined as 0, x <a P₁₁b(x) = {1, a≤x<b |0, x ≥b

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 3. Sketch a graph of y = 2 sin(2x - π) + 3. √√√ List below 5 points of 1 cycle.

A: Solution: The graph of y = 2sin(2x - π) + 3 would look like a wave that oscillates between y = 1 and…

Q: **************... For the function, find the second-order partials fxx fxy fyx and fy f(x, y) =…

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Q: 10) The radius of convergence of the power series E-o n² (z - i) ²n is (a) 1 (b) co (d) None of…

A: 10. The given data is: ∑n=0∞n2z-i2n Find the radius of convergence of the power series.

Q: Sketch the circle r = 10 sin 0. Give polar coordinates for its center and identify its radius. The…

A: Sketch:

Q: Use the piecewise defined function shown below to answer the question. 18 (x+2)² g(x) = K - (x+4)² O…

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Q: 4. The demand functions for a pineapples is given by p= -0.10x + 15. (a) What is your revenue…

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Q: 5. y"-2y+5y=e* cos x

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Q: he height of a flower is h. If the flower grows 6%, which expression represents the new height of…

A: This is question of calculus here the percentage increase given we have to find the new height…

Q: f(x)= 3x-2/ x+1 find the inverse

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Q: h. 2 2 √(x)= (²x²+1)* X 3x³

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

Q: Use the graph of g in the figure to find the following values, if they exist. a. g(0) b. lim g(x)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, point (0,4)…

Q: Find the angle between a diagonal of a cube and one of its edges

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Q: 3. Evaluate the left limit of the following function at t = 2 -2x+1 x≤ -2, x + 3 -2 2. f(x) = ||xc|

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Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

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Q: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate of…

A: According to the Michaelis-Menten equation, when an enzyme is combined with a substrate  of…

Q: Consider the volume of the solid generated by revolving the plane region about the y-axis. y = x², y…

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Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: Topic = Differential equation

Q: For a school group, a skating rink charges a flat fee of $50 for skates for the students, plus a…

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Q: fived the equation of the lime passes through and

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

Q: a cos(A) = tan(A) = Note: Triangle may not be drawn to scale. Suppose a = 119 and b = 120 and c =…

A: Given query is to find trigonometric functions.

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: The graph below is the function y = f(x) -1 1 -1 Jr 1. Choose all x-values where f is not continuous…

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Q: Question 6 Use logarithm properties to expand the expression log_(4)((x^(8)z^(5))/(y^(12)))

A: We have to use logarithm properties to expand the given expression.

Q: An accessories company finds that the revenue, in dollars, from the sale of x belts given by R(x) =…

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Q: Let f(x)=5x+4 Let g(x)=ln(x)+3 Find the following: (a) g(f(x))= (b) f(g(x))= (c)…

A: f(x)=5x+4g(x)=lnx+3(a)for g(f(x)), put x=5x+4 in g(x)

Q: Consider the following function. Select the number of points of discontinuity for f(x). Then enter…

A: NOTE: Refresh your page if you can't see any equations. . there is no factor that can be canceled…

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: ons where lim f(x) does no X-C

A: We have to describe three conditions such that limit does not exist

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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Q: Find the distance from the point to the plane. (0,4,-4), - 2y + 4z = 4 The distance is (Type an…

A: Given plane equation:- -2y+4z=4

Q: I. Find the solution of the following differential equation: 1.-4+3y=2; y(0) = 1, y'(0) = 1

A: To find the solution of the following differential equation. d2ydt2-4dydt+3y=2; y0=1, y'0=1

Q: Example 4. Determine the arc length of the curve r(t) = (2t, }(t — 5)³/², -t) between 1 < t <3.

A: we need to find the arc length of the given curve.Arc length, L=∫abr'tdt

Q: Solve the following system with inverse matrices. Show the algebraic set-up of your system, find and…

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Q: 2. g(x) = x³ + 5x²

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Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

A: Given: ( j-k)×(k-i)

Q: Find the angle between the vectors a = ⟨1,0,1⟩ and b = ⟨1,−1,0⟩

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Q: Describe the given region in polar coordinates, such that 0≤rand -≤0≤T. The region enclosed by the…

A: To find the polar coordinates to describe given region.