Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3 2(3x – 2)°, За-2

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Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

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Q: 11 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: topic - application of derivatives

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A: The general term of (x+y)n is given by:Ar+1=Crnxn-ryr  , r=0,1,2,....Then general term of (3x-2y)8…

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Q: B- Given 4x – 2y = 10 and 3x – 5y = 11, solve for x and y using Cramer's rule.

A: To solve given system of equations by Cramer's rule.

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Q: Project 8. Estimating Time of Death.  The purpose of this project is to practice reading a…

A: Note :- This is multiple sub parts question and according to our company guideline we can do maximum…

Q: Similarty, evaluate f(x) for the values below, and complete the table. 4 3.5 3 2.5 1.5 f(x) 1.75 3…

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Q: Consider the function f(x) whose second derivative is f''(x) = 10x + 3 sin(x). %3D If f(0) = 2 and…

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Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

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Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

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Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: I. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x– x? 2 x0

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

Q: Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1.…

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

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Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

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Q: Find the gradient of the function at the given point. g(x, y) = 5xe/x, (12, 0) Vg(12, 0) =

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Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

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Q: r2V2 Vx2-4 dx

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Q: 18. x² Cos(xe) find Taybrs Series using power X=0 Series operations.

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Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…

Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t°.1 + 3 cos (2t) .…

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Q: Question Consider a function f(x). The function has critical points at - 4 25 and 2. The table below…

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: dx + (x — у + 4)?dy %3D 0 ||

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Q: 3. Express the following integral as a one-dimensional integral in term of r, where E is the region…

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Q: Julia is a lifeguard and spots a drowning child 30 meters along the shore and 60 meters from the…

A: Answer of given question is in next step

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Q: dy Use implicit differentiation to find da y? + 8z = 3y – 5a? dy dx

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Q: (i) y= 3e –e**2 +2 sin (x² +1)

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Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

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Q: Find the area bounded by x = y²- 2y and x =4 - y

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Q: Scacix dx

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Q: x'+3x +3x+1 (3) (i) Find lim x+1 2x +3x –1

A: In given function on putting x = -1 it gives ( 0/0) indeterminate form .  Hence first we factorize…

Q: Find parametric equations for the line whose vector equation is given (а) (г, у) — (6, —5) + t(1,…

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Q: Solve the problem below. Be sure to show all calcula- tions. Explanations given to justify your…

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Q: aluate the limit assuming that lim,→-4 f(x) = 5 and lim,→-4 g(x) = 2. se symbolic notation and…

A: Topic:- calculus

Q: (1) Identify the following as either expression or sentence. (a) 3x+7; x=2x-5; x; x=8 (b) x+4=13;…

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z – 12 = j(9 – 2z) %3D…

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Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: A (4, 270°) (ounter= 909 120° 60° 150° 3.0° 180 0° 210° 330° 240° 300° 270°

A: We have to find the other  three coordinates.