2x2 + 1 lim 3x2 – 5x + 7

Q: mpany has a cost for producing x items of 55x+33 and revenue is 95x-0.5x2 what is the profit

A:   The profit is the revenue minus the cost

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A: Position function iss(t)=2t2-2tThen acceleration is given  bya(t)=s''(t)

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: topic ,- indefinite integral

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A: Question: Setup a definite integral with respect to x dx to find the area of the region enclosed by ...

Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

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Q: Evaluating Indefinite Integrals Evaluate the integrals in Exercises 37–46. 44. (sec 0 tan 0) V1 + se...

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Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

A:

Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: O Define f (x) = 1x = Graph it. Label as a piece wise defined function your graph.

A: Given

Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

A:

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: 2. @-2-6X8-マメーメー3メー6時+2

A: f(x,y) = 2x2-3y-4∂f∂x =ddx(2x2-3y-4)∂f∂x=4x∂2f∂y∂x =ddy(∂f∂x)∂2f∂y∂x =ddy(4x)∂2f∂y∂x =0∂2f∂x2 =ddx(∂...

Q: 12 1. Given that sine and 0 < 0 <", find sin(20) and cos(20) 13'

A: We know in the first quadrant that is 0&lt;θ&lt;π2 both sin and cos take positive values. cos(θ)=±1-...

Q: ie lollowing anclions 3 · y² = 6 – x %D

A: Topic = function

Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the...

A: Here we have to find out the area bounded by given parameters curves

Q: Find the equation of a TANGENT LINE in SLOPE-INTERCEPT FORM to the given curve below y = 4x? 2x +3 |...

A: y = 4x2 - 2x +3 at x =0 y = 3 so point (x,y) = (0,3) we need the slope of line so slope = dy/dx slop...

Q: (e) S (x2+4x+5)2 d.x

A: To integrate: The integral ∫x+1x2+4x+52dx.

Q: A. 5x + 6+ 4x

A:

Q: Prove that the given equation is a solution to the given DE: 1. %3D Gjезх + Сzе 2х + Сзе*; у" — бу" ...

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Q: Determine Linear Functions Directions: Determine which functions are linear and then drag each into ...

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Q: x2 f(x) Let k(x) %3D x+2 Find k' (-1), given that f(-1) = 3, f'(-1) = –1.

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: Determine f(x) so that cos(In x) f(x) dx = sin(In²x) + C

A: Option B

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: メ+

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Q: 8lnk k k=3 WI

A: Follow the procedure given below.

Q: In a world where people's happiness is the product of the square of the amount of one's food which c...

A:

Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

A:

Q: cosx * sin? (3x) 2 2. lim x→0 x2

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: Given the the parametric curve | x(t) = t3 – 13 |y(t) = t³ – 7t dy (a) Find an expression for dæ dy ...

A: we are allowed to solve only 3 subparts of a question. Here are the solution of part 

Q: . Graph (2) on the same coordinate axes, labeling the points corresponding to those you labeled on t...

A:

Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A:

Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: d.x J (x+ 1)(교2 + 1)

A: We have to find integral  by using substitition  

Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

A:

Q: Consider the integral 2n* g(x) dx . There is a function g(x) such that when u = In x the resulting i...

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Q: *e「ス+

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Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

A:

Q: (9cosx+y°cosx) dx +2ysinx dy = 0, y(5)= -4 the value of the constant (c) of this D.E will be:

A: Solution is written in below steps.

Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

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Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer ...

A: