UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SOLVE IN 2 DECIMAL PLACES. BOX THE FINAL ANSWER. DIFFERENTIATE AND SIMPLIFY THE GIVEN EQUATION: (2x3 + 4)(5x - 2)

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Q: 2. Find an equation of the tangent line to the curve at the given point. = cosx — sinx, (T, -1) y

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A: We need to find E(20) , %increase and demand at p = $20.

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A: Here we will use trigonometric substitution to solve the integration.

Q: 17. S₁- 1 x² + x dx

A: To find integral.

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A: Given that , fx,y=2x2+y2 and x=0 , y=0 , y+2x=2 find the absolute maximum and minimum of the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. Then the solution of the…

Q: 5. √3 3 1 (x - 2)³/² dx

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Q: y = 2x² - 8x. Determine the slope of the tangent to the function at x = 2.

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Q: Write the equation of the circle (x^2)+(y^2)-10y-39=0 in standard form. Identify the center and…

A: To write the given equation of circle in standard form

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A: Given: Three subparts of equations is given.

Q: Hello,  The answers provided are incorrect. Can you please redo the work? Thank you!

A: As per Bartleby guidelines only one question is allowed to solve

Q: 3. Given the function f(x) = 2x² - 3x + 1. f(x+h)-f(x). Find the difference quotient, h a)

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Q: find lim (-5) h-->0 00 O none of these answers O-5 O does not exist

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Q: The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: The cost function give in the question is C(x)=2x2-26x+620

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Q: z(t) Find a plane containing the point (-1,-8,-8) and the line (t) z(t) Calculator Check Answer…

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Q: the surface defined by the following equation. x² + y² +9z² + 8x = -15 Identify Select the correct…

A: The general equation of standard surfaces is given by: Cone:     z2c2=x2a2+y2b2 Ellipsoid:…

Q: 2 Let A = [3 and B matrices A and B commute? None a -4 For what values of a (if any) do

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Q: y(x) is the solution of the differential equation When x = 0, y = 1. dy dx = 8xy.

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Q: 60 For a monopolist's product, the demand equation is p = 29-4q and the average-cost function is…

A: Given that a demand function P= 29-4q and average function c= 5+60/q. We find profit maximizing…

Q: Solve the given initial-value x2 dy dx 2xy = 6y, problem. The DE is a Bernoulli equation. = (¹) =…

A: The given differential equation is: x2dydx-2xy=6y4y1=13  Solve the initial value problem.

Q: 1. a) Differentiate g(t) = 2(t²-3t)-3/4

A: we need to differentiate g(t)=2t2-3t-3/4

Q: Consider the following matrices: [1 2 3] [1 A = 4 5 6 and B= 2 789 Compute the (3,1)-entry of the…

A: The matrices are A = 123456789 and B = 10-12103-21 Let us suppose C is the matrix such that C = AB…

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

A: Given  dPdt=P1-P;   P=c1et1+c1etTo Find: We need to verify the solution

Q: 5. Find all the critical points of f(x) = e²x x² - 2

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Q: Find all the local maxima, local minima, and saddle points of the fund 2 f(x,y) = x² + xy + 5x + 5y…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: ind the linear approximation of the function f(x, y, z)=√√√x² + y² + z² at (6, 9, 2) and use it to…

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Q: or a monopolist's product, the cost function is c= 0.006q +20q+8000 and The profit-maximizing output…

A: Given cost function c = 0.006q3 + 20q + 8000demand function p = 550 - 4q

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Q: Questions 5 – 7: Find the sum of each infinite series, or state that the series diverges. e 5) 529)…

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Q: an = 256/2 4²n Determine: (a) whether an is convergent. 1 n=1 (b) whether {a} is convergent. If…

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Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: the full answer wasn't shown in the solution box, please provide the rest

A: any differentiable function must be continuous at every point in its domain so  a.) If a function is…

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Q: What is the length of the arc of the parabola y = x² from the points (0,0) to (2,4) ? ° 2 √²³√1+4x²…

A: We have given equation of the parabola  y=x2 y'=dydx y'=ddxx2 y'=2x Arc length of the parabola is…

Q: Find the derivative of y = sin(5x) · sin(7x) dy dx -

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Q: Graphy = -5.32x2 +64.7x-20.2, and from the graph determine the number of (a) relative maximum…

A: To find out the relative maximum and minimum points and also the inflection points.

Q: graph below to answers (and your 8- 6- pllowing question justitications!) in the space below. 2- 10…

A: We need to find differentiability.

Q: Let a = - +53 + 4k and 6= -23 + k. Find -a + 26. Calculator Check Answer

A: see below the answer and calculation   Note: As per bertleby guideline I have to solve only first…

Q: Consider the functions f₁(x) = eª, f₂(x) = e², and f3 (x) = e. Call the region of Quadrant I…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…