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Q: |Consider the function f(x) = x|x|. a.) On the interval (-∞,0), f"(x) = b.) On the interval (0, o),…

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Q: @ sinhz= loy (z+[2+1) %3D

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Q: Use linear approximation to estimate (0.99)2 + (3.01)² – (0.99)(3.01). -

A: Topic - approximations

Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

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Q: 75. F(x) : (t + 2) dt

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Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: How do I tell if it’s continuous

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Q: Use Linear Approximation to estimate Af = f (3.01) – f(3) for f(x) = x*. (Use decimal notation. Give…

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Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

A: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: 3. Where is f(x) = concave up? Justify your answver. %3D

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 5. Differentiate using quotient rule: x+2 y x-2

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Q: Let f(x) = sinh(2x) then f'(In2) = %3D %3D

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Q: Prove the relationship =<- dt

A: we have to calculate  ddt&lt;px&gt;  .....(1) &lt;px&gt;=-ih∫ψ*∂ψ∂xdx .....(2) substituting equation…

Q: What is the total change of f(x) if f'(x)= sin(x) from [0, π]? A/

A: Answer: As per guidelines , we can do 1 question at one time , so please post other question…

Q: When an object is located a distance of X feet from the origin, a force of a2 + 4x pounds is acting…

A: The answer is found in step-2

Q: Why is the function f(x)= cotx not differentiable on the interval [0, pi] ?

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Q: 4. Is the function f integrable over the interval [-4,1]? Briefly justify your answer. 2x2 + 5x – 3…

A: Solution  Question 4  Given,  fx = 2x2+5x-3x+3  We have to find the function is integrable in the…

Q: Suppose that f(z, v) - ry.The directional derivative of f(2, y) in the directional (3 -1) and at the…

A: We need to find the directional vector of f(x, y) at the point (-3,2) in the direction&lt;3,-1&gt;…

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: When are the two versions of Fundamental Theorem of Calculus helpfu

A: The first version of the fundamental theorem of calculus involves a variable like x so this will…

Q: 2) 2. 5メ4. +IntaltG 니

A: Please see the answer below.

Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give…

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Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Use f- calculate to (f!) in the damain of f= ==-1, %3D

A: Given: f-1(x)=1x-1 ;          14≤x≤1

Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: When a particle is located at a distance x feet from the origin, a force of x +2x pounds acts on it.…

A: We have the given Force function F(x) = x2 + 2x where x is the distance in feet from the origin.…

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: find fsubxz if (x, y, z) = ye^x + x ln z

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Q: Use the linear approximation to estimate Af = f(3.2) – f(3) for f(x) = 1+x² * (Use decimal notation.…

A: Given: f(x)=81+x2

Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

A: We have given a function ,  fx = x3 , x ∈ ℚ0 , x ∈ ℝ \ ℚ We need to show that , f'0 = 0 We know the…

Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: Derive error formula for functional relation?

A: We have to derive derive error formula for functional relation

Q: Integrate to find F as a function of x, and demonstrate the Second Fundamental Theorem of Calculus…

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Q: Find all values of a and b that make -а - х, x<-2 f(x) = {bx? + 1, Vx+b, -2<x<1 x21 continuous…

A: The function is given by: f(x)= -a-x , x&lt;-2           bx2+1 , -2≤x&lt;1         x+b   , x≥1 Also…

Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: Find the averuge valuc of the function fcx)-4x4 on the interval [2,6],

A: Given : fx = 4x4

Q: Use part I of the Fundamental Theorem of Calculus to find the derivativ f(x) Vt3 + 2°dt f'(x) =…

A: Given query is to find the derivative.

Q: 2. Using both a picture and words, explain the Squeeze Theorem.

A: Given : The Squeeze Theorem.

Q: Use the ħndanental Theorem Ot calculus part I to find the derivative Of hx)=

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Q: <plain how to use the evaluation part of the Fundamental Theorem of Calculus to mpute ſ, (3r² – 5x +…

A: Use fundamental theorem of calculus

Q: Give an example of a function that is integrable on the interval [−1, 1] but not continuous on [−1,…

A: Let fx=x       Greatest integer function. Now, ∫-11x dx=∫-10x dx+∫01x dx=∫-10-1 dx+∫010…

Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: Find the partial derivative. Find fx(3, -7) when f(x,y) = 7x2-9xy. O -21 O -126 O 21 O 105

A: differrntiate partially with respect to x

Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: Use Linear Approximation to estimate Af = f (2.01) – f(2) for f(x) = x“. (Use decimal notation. Give…

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Q: Use fundamental theorem of calculus .4 –dx x In x 2,

A: Follow the steps.