Sketch the function. v(x) = 0.2(x-3)²(x+2)³

Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…

A: We will use comparison theorem to compare the given two Integrals.

Q: Which of the following statements is (are) false? A) A basis is a spanning set that is as large as…

A: Please see the below picture for detailed solution.

Q: [² 11. [(2 sinx+cos.x) dx 9. 13. 15. x¹/3 19. 21. 3 x2/3 - dx 17. [(3 cos x - 2) dx [(5x- 2²/1) dx…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: dy dx + 4y - e* = 0, dr y(0) = 4 3

A: Given: dydx+4y-e-x=0, y(0)=43

Q: y = sin(x), y = 0, x=0, x= π Exercise (a) the volume of the solid formed by revolving the region…

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Find the point (if it exists) at which the following plane and curve intersect. z = 19; r(t) = (t,…

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Q: Given: f(x) = 0.2 + 25x-200x^2 +675 x^3-900 x^4 + 400 x^5 from a = 0 to b = 0.8 and segment equal to…

A: Given that      f(x) = 0.2+25x-200x2+675x3-900x4+400x5   from a=0 to b=0.8 and segment equal to 8.…

Q: Rewrite the expression In 3 + 5 ln x + 6 ln(x² + 4) as a single logarithm In A. Then the function A…

A: We know the property of logarithm that  ln(a)+ln(b)= ln(ab)  ...(1)  And,  pln(x)= lnxp .....(2)…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 2 (1) limx-o[: 1-cos x sin²x (2)…

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: 6 ∞ 9 cos (7) x² dx I

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A: Find determinant of coefficient Matrix  Then find delta x ,delta y, delta z

Q: of x³ (4+x²)² dx ; Use rationalizing substitution

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Q: 1. Solve the following a) 430.00(1+0.05) b) 1.2:4.2:60= 5 45 4 64 c) y: 9 8 (1+0.05)³3 -1 0.05

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: Consider lim (x,y) → (0, 0) xy 20 X (see figure). 20 20 (a) Determine (if possible) the limit along…

A: Here to determine, lim(x,y)→(0,0)x2+y2xy

Q: 1. Given the space curve r(t) = (2e¹,e²¹.e^¹), find the curvature at t = 0

A: I am attaching image so that you understand each and every step.

Q: Calculate (9x10^7) divided by (45x10^3) show your work and answer in scientific notation

A: Given :   9×10745×103

Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

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Q: Find dy x 3 In (x - y) = xy + y²

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Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

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Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

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Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that (x,…

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Q: 7dx x(lnx + 1) S:

A: To solve the given integral problem by substitution.

Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

Q: Q3 :(A): By using "L' Hopital rules"; Find the limits of : 1 (1) lim,-ol1-cos x sin2x (2) lim,…

A: 3)1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0(tan-1x-x) /x3 Repost the next question.

Q: Q1/ Solve the following differential Equations. 3- dx +2²= 3x x

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Q: Consider the region depicted in the following figure. Find the area of R. -1 YA 4- 3+ 2 1 0 -1. f(x)…

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: 7. 0 , e5) a dx

A: Please see the below picture for detailed solution.

Q: 11. According to the College Board, the average in-state tuition and fees for public 4-year colleges…

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Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dw (C): If w = tan x and x = 4t³ +t; Find dt

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Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

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Q: 2 -1 -x²+8x-4 dx 1 x(x²+x-2)

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Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: 31-4 A piecewise function f(x) is defined by f(x)=x²+3x+4 x² -7x+12 Part A: Graph the piecewise…

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Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

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Q: 2. Evaluate the following: t² dt a.

A: To solve: ∫−11 t2t2−62dt Let I = ∫−11 t2t2−62dt since,  t2t2−62 is an even function  Therefore, I =…

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 9k) dt 2ti + tj +…

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